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1. 486 8 28488 je CROSS SECT WENT NO ELEV NEN on 99495 Q 34136 11 1 in ellet o re Hd at the u s end of the system Description Required card identification characters Station at the u s end of the system If Sta 1 is left blank it will be set equal to the station at the u s end of the previous element Invert elevation at the u s end of the system INV 1 is left blank it will be set equal to the invert elevation at the u s end of the previous element nunber assiqned on Form Ho 2 to identify specific section used at the u s end of the system if left blank the program assumes critical depth control Teyend XXX XX Required Data YYY YY Optional Data HS 7 1 3 CD CARD CHANNEL DEFINITION 32 19792 5 CHANNEL CROSS SECTION DEPINETION Type 2 Type 3 Type 4 Card Col 1 amp 2 4 6 9 12 13 16 20 23 27 30 35 36 40 41 45 46 50 Wapewidal Rectangular Box or Covered Tape zoidal Pipe Variable CD Cross Sect Ident No Chan No of Piers Ave Width of Piers Height Hase Width 21 ZR Invert Cross Fall 9 9 0 HYDRAULIC ANALYSIS COMPUTER PROGRAM 5 5 FORM 2 bree MISSA rage Ul Dale Name Project 5 CD Regular Type A
2. 19 E 14 Wall Entrance WEE suasana eii E m ee ec Mana teet 15 Wall Exit WX Channel and Conduit Section Description Channel and Conduit Section Description nennen nennen neret neret nnne nnne 19 Regular Channel Type SCIONS eec c ee ee Ho 19 Irregular Sections Definitions Restrictions for Irregular Sections u ens 21 Data Input BJ o o A RR 23 Data Input Descriptions ei ce nenne dena 23 WSPG Job Control ein eects ene aie 23 Link Element Data Dialog 23 TELE TEM 24 TRANSOM Node Elemoent Data ettet e ee te et System Headworks System OUUOE sise anaes eae as Wall al OER eie EES as TENN 30 Bridge Entranee uae A e 31 Table of Contents Bridg ua ERA 32 EE 33 WSPG Introduction Forward The use of this program by others is made and accepted with the understanding the XP Software and Los Angeles County Public Works Department makes no warranties express or implied concerning its accuracy completeness reliability usability or suitability and the District shall be under no liability for any use made thereof Introduction to WSPG Water Surface Pressure Gradient WSPG is a hydr
3. After the first CD card a card was found which did not have a code of CD or PTS CODE indicates the invalid card code which should be corrected or placed in the correct order 1 A 8 5 5 HEADWORKS CARD BEFORE CHANNEL DEFINITION OR CROSS SECTION POINTS The system headworks card was omitted or is out of sequence It should be the last element card and should immediately preceed the channel definition cards 1 9 1 4 ERROR MESSAGES IN DEREN CHECKING CROSS SECTION 6 POINTS CARDS INVALID OR MISSING NUMBER OF POINTS VALUE MUST BE BETWEEN 3 AND 99 CODE XXX ISECT XXX NO PTS The number of points value is in error or the is out of sequence make sure this is supposed to be the first card of cross section for the section points CODE is the card code ISECT is the section number and NO PTS is the number of points indicated Correct the invalid card and resubmit INVALID CARD CODE FOR CROSS SECTION POINTS While processing PTS cards a code not equal to PTS was found Either wrong or out of sequence Correct the data error STARTED ANOTHER CROSS SECTION GROUP BEFORE PREVIOUS GROUP WAS COMPLETED A new cross section group was indicated no of points was given before all the points indicated by the previous the number of points were read Check card sequencing and make sure the number of points is only on the first card of a section and is correct with the number of points
4. Fow o 0 The System Outlet SO node represents the terminus of the stream network Each WSPG model has exactly one outlet which is the most downstream element There can be no further downstream elements The outlet constitutes the outflow boundary condition The Station is entered on the SO element data dialog System Outlet Water Surface Elevation is in feet Wall Entrance 29 WSPG Documentation Element Data Element type Wall Entrance v Wall Entrance Loss Coefficient Kc 7 A Wall Entrance is used to model a sudden channel contraction The channel upstream of the wall entrance cannot have piers The entrance loss coefficient Kc value must be entered by the user the default value is 0 5 Wall Exit 30 Data Input Descriptions Element Data Element type Wall Exit v A wall exit is used to model a sudden channel expansion The channel downstream the wall exit cannot have piers Bridge Entrance 31 WSPG Documentation Element Data Element type Bridge Entrance Node Invert Elevation Node Ground Elevation Channel Group Channel 3 J Bridge Entrance Reduction Factor fp 0 A Bridge Entrance element is used to transition from a section without piers to a section with piers The Bridge Entrance Reduction Factor is a reduction factor for the
5. 101 12 4 3 Transition 102 12 4 4 Junction 102 12 4 5 Pier Analysis 103 12 4 6 Wall Entrance Analysis 104 12 2 7 Wall Exit 104 12 5 Pictorial of Input Deck 105 12 6 References 106 90 12 1 SYMBOL DEFINITIONS Symbol 131 DO dE go 3 S J ai O Se Definition Cross sectional area of flow Cross sectional area of pier Base width of channel Net base width of channel Average base width of piers Depth of flow Critical depth Length between two stations Drop in invert between two points Maximum open flow depth in a section Ten feet above channel height in open section Height of channel in closed section Normal depth Specific Energy Energy Grade Line elevation Invert cross fall in inches may be used with channel type two only optional Force Gravitational constant 32 2 ft sec sec Head loss due to angle point Head loss due to bend or curve Head loss due to friction Head loss in a junction Head loss in a manhole Head loss in a transition Ve ocity head Invert elevation in a channel section Moment um Manning s n coefficient of roughness Number of piers in a section max of 10 Hydros
6. Pipe diameter Base width is not required a pipo Description Required card identification characters A number between 1 and 200 assigned Lo identify a section a section need not be entered inore than once per project Channel Type number sce above Humber of piers max 10 Sun of pier widths divided by nunber of piers Height of wall above the invert Width of base see Figures 6 1 thru 6 3 left side slope Right side slope invert slah cross fall in inches see Figure 6 2 to be used wilh chan type 2 optional legend Required Nata dena pata H LOS ANGELES COUNTY FLOOD CONTROL DISTRICT Poge _ Ol Dole HYORAULIC ANALYSIS COMPUTER PROGRAM FOSIS FORM NO 2 Project NO OF AVE WIDTH n IEAS OF DIAMETER CHANNEL CROSS SECTION DEFINITION CARD CD Irregular 5 Irregular open Type 6 Irregular covered NOPE A points PTS card is required in conjunction with every CD card to complete the definition of an irregular cross section Card Col Variable Description 1 amp 2 CD Required card identification characters 4 6 Cross Sect A number between 1 and 200 assigned to identify a Ident section A section need not be entered more than once per project 9 Chan Channel type number sce above 12 13 No of Piers Number of piers max 10 16 20 Ave Width of Piers Sum of pier widths divided by number o
7. The section for element X 1 can also be an open channel or closed conduit and it can be with or without piers 5 1 10 Wall Exit WX Refer to Figure 5 10 This element is used when there is a sudden expansion from a smaller to a larger channel or conduit section This element is considered to have a zero length Element 1 may be a SO JX or TS Element 1 may be a SH R JX or TS The section for element 1 may be an open channel or closed conduit with or without piers The section for element 1 may be an open channel or closed conduit however it cannot have piers ELEMENT BOUNDARY LINES 790 of wall t e Soffi 2 Y SYSTEM OUTLET HGL WS 6 5 2 SYSTEM HEADWORKS q Ts lt 4 poris ES 3 REACH ELEVATION S 9 10 QI IN popu NH PLAN EXAMPLE OF A STRAIGHT REACH WITH amp AT 0 END FIG 5 4 10 ELEVATION PE JUNCTION FIG 5 5 TRANSITION CONS PEN FIG 5 6 ELEVATION PLAN 11 is ENTRANCE ELEVATION PLAN FIG 5 7 BRIDGE EXIT ELE VATION WALL ENTRANCE SUDDEN CONTRACTION ELEVATION Succler Co77 FECTION PLAN FIG 5 9 WALL EXIT SUDDEN EXPANSION FIG 5 10 13 6 1 Channel and Conduit Section Description Channels and conduits sections are classified
8. The iterated depth and force the maximum minimum depth and the desired force are printed In D S processing the desired force in the D S end of the bridge entrance could not be reached within the prescribed limits of depth so the desired depth is set to zero and no computation is done in the D S end In U S processing the bridge entrance was under pressure at the U S 2nd so pressure flow calculations will be done Processing is continued for pressure flow going U S and in the next element going D S DESIRED FORCE IS OUT OF THE RANGE OF DEPTHS IN FWALL TEST DEPTH XXX TEST FORCE XXX MINIMUM DEPTH XXX DESIRED FORCE XXX See Message 28 for D S bridge entrance only use wall entrance instead DEPTH IS OUTSIDE THE RANGE OF THE POINTS DESCRIBING THE CHANNEL IN XXX DEPTH XXX YMIN XXX YMAX XXX Either force area or wetted perimeter values for depth and minimum and maximum Y values are printed If the depth is not above maximum open flow depth there is an internal error see programmer If the depth exceeds maximum open flow depth raise the channel walls The desired value is set to zero and processing continues but will probably be in error and processing will probably terminate before the end of the run 85 31 34 36 UNABLE CALCULATE FRICTION SLOPE WITH MANNINGS EQUATION IN SF AREA XXX WETTED PREIMETER XXX The area and wetted perimeter are printed Either the area wetted perimeter shoul
9. 115 1968 Critical Water Surface by Minimum Specific Energy Using the Parabolic Method Hydrologic Engineering Center U S Army Corps of Engineers Eichert Bill 5 106
10. Giavifoliont constent De yi Crifisol lo voobstrocted cheanel for round nose piers D thus E tee PLAN tos 91 County flood Control Olsteict BRIDGE PIER LOSSES BY THE MCMENTUM METHOD 12 4 6 WALL ENTRANCE ANALYSIS Sudden Contraction Lower Stage Profile U S Control Find depth at the D S end by iteration in the equation M2 P2 Al A1WALL 1 P1 P1 walls where 1 wall is the area of the obstructed part of Al And P1 wall is the pressure on the obstructed part of Al Upper Stage Profile D S Control If the control depth is less than the conduit height find the depth at the U S end from M2 P2 A1 A1WALL A1 P1 wall otherwise find 01 by iteration from the following equation D2 HV2 Kc ABS HV2 HV1 D1 where Kc ABS HV2 HV1 is the head loss at WE Ke 0 5 unless given otherwise ABS the absolute value 12 4 7 WALL EXIT Sudden Expansion Energy loss in a wall exit 1 0 ABS HV2 HV1 In WX find D1 or D2 by iteration in the following D2 HV2 1 0 ABS HV2 HV1 01 HV1 104 12 5 PICTORIAL OF INPUT DECK PTs 5 p PTS Je L Casos 105 12 6 REFERENCES 1 Hydraulic Design Manual L A C F C D 1970 2 Handbook of Hydraulics F Brater and H W King 3 Hydraulic Analysis of Junctions City of L A Office Std No
11. INET 06 A42 EXE y yc x Chereteretoenee 5566009 2n 00 0nn 9 54 1 853 25 4391 5R 500 n 265 50 10 9745 17 3140 0 0 19 RAN 30 00 40 09 3 00 0 0 0 700 00 0 00201 002411 1 70 17 5101 1 00 71300 00 10 95 1 SIA 21 4 n 51500 21 34 11 60 19 072 0 0 19 8310 10 00 80 00 1 00 0 0 0 RRIPnhCF FXIT 3 00 21300 00 10 95 17 011 21 36 54500 0 25 16 11 116 39 077 0 0 20 055 40 00 RO 00 1 00 1 2 50 0 0 00200 02989 0 24 TARAS 1 00 213 0 00 11 11 14 917 28 021 57500 0 265 96 11 289 19 3145 0 0 20 055 30 00 AN ON 1 00 2 50 RRIDGF FNTIRANCE 4 40 21380 00 11 11 1 14 21 246 58500 0 28 231 12 379 39 625 0 0 19 810 30 00 0 00 31 00 0 0 0 di 264 29 0 00201 002427 0 75 17 520 3 00 21544 29 11 54 15 909 21 59 5R500 0 28 609 12 7 40 3172 0 0 19 830 10 00 80 00 3 00 0 0 0 78 87 0 0020 90134 2 09 17 520 3 00 22319 74 13 00 15 404 5500 0 30 09 14 059 42 4653 0 0 19 10 00 80 00 3 00 0 0 0 34 7 N N NNN 1031 35 0 11 Qa att 3 00 22354 4R 13 49 15 829 29 523 98500 0 28 99 13 050 42 573 0 0 po nan 10 00 AN 1 00 0 0 0 3 53 0 02000 0n2 790 9 10 9 497 1 00 22391 01 14 453 1 1 6 30 11 9500 0 21 65 11 863 42 614 0 0 19 530 10 00 86 00 3 00 0 0 0 28 75 0 02000 002443 0 07 9 497 3 00 27419 74 15 00 14 940 11 940 5 500 28 35 10 145 42 745 0 0 TO Aan 10 00 40 00 3 00 n 0 0 40 92 0 00249 0n22 7 5 0 09 16 2453 3 00 224 0 R 15 11 0R2 32 092 58500 0 26 31
12. INVFRT 11 11 INVER 11 11 13 00 INVERT 15 00 INVERT 15 11 INVFRI 15 11 INVERT 15 37 INVERT 15 37 INVERT 23 0R INVFRT 23 08 LARD SFCT 1 Fnit FRRnRS FNCOUNTEREN COMPIITATION TS NOW RFGINNING VISITING CARD LEST ENE N HORS 0 014 0 670 0 014 0 014 0 014 0 014 0 670 0 014 S 0 0 5 n n ps oy RANTES 0 0 RAD IS 0 0 RADIS 0 0 RANTS 0 0 HS RADIUS 0 0 ANGLE 0 0 ANGLE 0 0 AnGt 0 0 ANCI F 0 0 ANGI F 0 0 ANGLE 0 0 ANGLE 0 0 PAGE NE Ant 0 0 ANG 0 0 ANG PT 0 0 PT 0 0 ANG PT 0 0 ANG PT 0 0 ANG PI 0 0 2 MAN MAN H 0 MAN H MAN H 0 MAN 0 MAN MAN H WARNING 7 WAJER ACT FUR VATION GIVEN IS IESS FHAN IMU PI PERVATIOM N HDSKDS E INV nC 69 FOr PAGE 1 WATER SURE ACE PROF EER RAPT OMA CREEK STA 206500 HI 255300 SAMPI F PROP FM ENTERED SAMAN 1 SHANE DATE FEN 24 1079 TYPICAL IHAPEZIIDAI PEERS FAT LN INVERT 4 5 vit SUPER CRITICAL VASES 1 Mi AVhpR OF FI IW HEAD CREE DEPTH nya in onp PIER sa SF AWE HORM DEPTH Jv 0066666400 EC
13. The flow rate can be reduced by using a negative lateral Q Manning s n The program uses the Manning formula for the friction loss in all types of conduits or natural channels The program can only take one value per element however the value can change at subsequent elements If a section has a lining composed of different roughness coefficients a composite based on anticipated depth of flow should be hand computed If an value is not specified with the input data the program uses a value of 013 Starting Water Surface Elevations WSPG Documentation Starting water surface elevation at the downstream terminus System Outlet S O or the upstream terminus System Headworks S H are optional input values If not specified the program will use critical depth elevation to begin computations Critical and Normal Depths Critical depth is computed for every section for the given Q utilizing the Specific Energy Equation Normal depth is computed in every reach element on a positive slope for the specified Q Velocity Head The velocity head HV is computed using the mean velocity of the section This may not be accurate in the case of a complex section such as one with shallow flow in the horizontal overbank area where velocity distribution is not uniform If the program is to be used in this situation the user should be aware that some error may be introduced in the results Water
14. is not connected to the system outlet Link x is not connected to the system oullet Pier factor for bridge entrance x is below 0 667 Wall factor for wall entrance x is not between 0 2 and 0 9 Invert elevation of element x is not larger than invert elevation of the direct downstream element One of the elevations of junction s x laterals is set to the invert elevation of the junction One of the confluence angles of junction s x lateral is set to 90 degree Length of junction x exceeds 100 feet This is not recommended Right slope in trapezoidal data of channel x set to 1 0 Left slope in trapezoidal data of channel x set to 1 0 A pier elevation in channel x is set to 0 0 because it exceeded the channel height Element keyword x detected when reading a branch name 45 WSPG Documentation WARNING 23 For junction join x fewer branches have been defined than stated by the branch number Only the defined branches will be processed WARNING 24 For junction x there are equally named branches WARNING 25 Link type element x has different invert elevation than its upstream node WARNING 26 Not used WARNING 27 Not used WARNING 28 Not used WARNING 29 Normal depth for reach x could not be computed accurately Value used in processing may be inaccurate WARNING 30 Internal error Trying to compute friction slope for element x with a negative wetted area or perimeter Set f
15. 00 741 50 14 075 759 675 650 0 11 01 1 I 1 458 0 0 50 1 98 0 0 0 0 0 140 00 0 039 OD03H881 0 54 2 914 4170 04 147 0 9 756 119 11 01 1 TSA 002 0 0 64 8 50 7 08 0 0 1070 00 AS ONIRA 15 6 91 0 0 5240 00 151 10 HAAG TAO NSS Vibe p nna 162 591 0 0 6 66 8 90 1 0805 0 0 0 90 DD ARR 5 19 n s00 0 0 2R 90 752 6 226 660 0 11 01 1 168 109 0 0 fa bh 8 50 0 0 0 HONE Si 0045 7146 0 09 0 0 KALNA ON pay 424 68 4 8 13 02 2 6 DENTES 0 0 1 50 nun n POPLIN ALAA DNASANT Oat Tha 10 THA 102 576 0 13 0 2 30 769 332 1 2 7 5 ayn n 0 0 9n nn 0 0047 005407 3 87 ooo 7 90 00 2 52 A 400 70 600 14 02 2 640 0 240 un 6 12 n TID 0 0 10 00 n nnino POR 7510 00 142 3 HU 144 5450 pu 2 630 APERTA n n rou n n n n n 0 0 c 3720 00 3797 14 3974 29 3951 43 028 57 4105 71 1R2 R 42 0 0n 4337 14 4414 29 4491 43 4558 57 4655 71 4722 900 00 4877 14 4954 29 5031 43 5108 57 5185 11 52 2 R amp 360n 0n 5417 14 5494 29 5571 43 844805 5725 71 SANJ R 0 0n 957 14 034 29 6111 43 RR 57 2 5 342 R 452n nn 2497 14 4974 29 FADD 4S 12R 51 R05 71 AAR AA 9 n 0n
16. 10 746 42 R3R n n 19 10 00 ROLON 13 0 n 0 0 ARINGF FXIT 3 00 POS DSP Pact MATER SURFACE TEST IMG RALLONA CREEK STA 2048800 Th 255400 SAMPI F PROWL EM ENTERED AY SAMAN 1 SHAHIN NATE FIN 27 19 TYPICAL TRAPEZDOIDAU CHANNEL WIIN PEERS STATION INVERT DFP TH lt n vel ENERGY SHPFR CRITICAL HOT RASI 71 NII AVAPR FLEV nr nu FLEW Hr AD WEA mown IER sn SF AVE NORM 7R 0604500645 0800000060 REE HE TORRE OES HRE MEOH TE HHO EER ETN ETO 224 0 R 15 11 17 552 32 662 58500 n 25 61 10 182 42 844 0 0 20 055 30 00 RO 00 1 00 1 25 100 00 9 00240 2903222 0 42 18 531 3 00 225 0 4 R 15 31 17 455 32 H26 5R500 0 25 n 19 440 6 0 0 20 055 10 00 80 00 3 00 1 25 3 00 22950 AR 15 37 1 Shh 31 936 5R50n0 0 21 23 11 512 63 448 0 0 19 30 10 00 3 00 0 0 0 RRO0 52 9 00242 4 002449 2 16 16 157 4 00 3 23441 20 17 n FALTARA 1 1 5R 500 0 26 14 45 6045 0 0 19 830 10 00 RO 00 3 00 0 0 0 1164 95 0 00252 002251 2 62 16 357 3 00 24606 15 20 13 122 15 057 58 500 0 25 59 10 170 58 221 0 0 30 00 ANNO 3 00 0 0 0 amp Q1 35 0 n0242 001972 0 98 16 357 3 00 25103 50 22 04 17 922 39 962 5500 0 24 40 9 246 49 208 0 0 19 30 30 00 80 00 3 00 0 0 0 2 8 2 0 00242 001728 0 43 16 157 1 00 25352 12 22 89 451 212 WAEA BaT AI LENE G
17. 1037 17 7114 29 7191 43 124805 7345 71 7422 ARA 7500 00 TALAN MO 9202 SIA 1 2020 aan SAMPLE PROBEFM ENTERED Hy CARVIN J PE HI RSI DAIF FEW Af 1979 TYPICAL ROX AND PIPE STORM DRAIN t it f 7 F C H 1 C H W F 1 C F I I M 1 lt I 144 16 0 37 153 6 THO NO 160 11 The th 111 01 REZEK 1 tS GIUSSARY r k F x n Y lt I ou 2 4 w INVERT FEEVATEON CRITICAL HFPTH WATER SURFACF FIFVATION HEEGHT OF CHANNEL FNFRGY GRADE LINE CURVES CROSSING VER RRENGE FNIRANCE OR WALL FENTRANCF OR EXIT FOR POENIS AT A BF PITTED I XACIULY nnnannonno 6595859555545 n 6656060506 FFFEEFFEFEF I 555556566556 11 555889856866 an 55 1111 55 rp FF an nn nn 55 11 55 pp nn nn nn 58 11 55 pp pp 0n nn NN 55555545 11 5555565660 PPPPPPPppppp nn an nn 5558555555 11 45555656556 an on an 59 1 55 0000 nn 55 11 pp 000 nn 55 65 pp 5555555554655 588555566566 00000000 55955555555 55556655565 pp 1 2222222222 u 2222222222 AAAAAAAAAA JA 117 222222222222 1
18. 3 Computational Procedure 1 3 3 1 Input Preparation 1 3 3 2 Flow Rates 2 3 3 3 Multiple Profiles 2 3 3 4 Manning s n 2 2 3 3 5 Water Surface Controls 3 3 6 Critical and Normal Depths w 2 3 3 7 Water Surface Stages 4 Data Processing System Description 4 5 Element Description 5 5 1 1 Boundary Lines 5 5 1 2 System Outlet S0 _ F n 5 5 1 3 System Headworks SH U 5 5 1 4 Reach R 5 1 5 Junction Structure JX 6 5 1 6 Transition Structure TS 6 5 1 7 Bridge Entrance BE 6 5 1 8 Bridge Exit BX 6 5 1 9 Wall Entrance WE 7 5 1 10 Wall Exit WX 7 Table of Contents Continued SECTION PAGE 6 Channel and Conduit Section Description 14 6 1 1 Regular Channel Sections 14 6 1 2 Irregular Sections 14 6 1 3 Definitions and Restrictions for Irregular Sections 15 7 Input Data Description a n O 18 19 7 1 1 Title Cards T 7 1 2 Element Cards 21 22 System Outlet SO Reach Channel 1 2 or 5 23 Reach R Channel Type 3 4 or 6 24 Transition Structure TS 25 Junction Structure JX 26 Bridge Entrance BE 27 Bridge Exit BX 28 Wall Entrance WE 29 Wall Exit WX 30 System Headworks SH 31 7 1 3 Channel Definition Cards 32 CD Cards Re
19. 6 See Process 5 95 9 28 81 12 3 2 WETTED PERIMETER WP WP is a function of the depth of flow and the geometry of the conduit or channel section 1 z WP 1 ZL 1 ZR 2 NOP bnet CHAN TYPE 2 WP 2 D i bnet CHAN TYPE 3 If D is less than chan height H see Process 1 Otherwise D N1 ZL 1 28 2 NOP 2bnet ZL ZR CHAN TYPE 4 If D is equal or greater than pipe diameter 2R then WP 2Z Z R Otherwise WP 7 R 90 ARCCOS R D R CHAN TYPE 5 2 Pam we 22 21Y0 Y P bp gt P CHAN TYPE 6 If D is less than Ymax see Process 5 Otherwise 9 Ba WP gt 2 Y D Y P bp p v i 96 12 3 3 HYDROSTATIC PRESSURE P Pressure is a function of the depth of flow and the geometry o the conduit or channel section L CHAN TYPE 1 2 P 0 5 D bnet D ZL ZR 3 where bnet b bp CHAN TYPE 2 z P 0 5 bnet CHAN TYPE 3 If D is not greater than chan height H see Process 1 Otherwise 2 2 P 0 5 D bnet D ZL ZR 3 0 5 D H 1 3 ZL ZR 2H D bnet CHAN TYPE 4 If D is equal or greater than the pipe diameter then P D R 7e R Otherwise C D R f P 3 e 2C 3 Nac Cf Ze C 1 90 ARC
20. IS LESS THAN OR EQUALS INVERT ELEVATION IN XXX W S ELEV INV DC The subroutine name is printed This is a warning message that there was no water surface elevation inputted for either the headworks or outlet or that the water surface inputted is less than the invert elevation causing DC to be the controlling depth Processing continues WENTDS NO AREA OF OBSTRUCTION IN ELEMENT XXX Al XXX A2 XXX The element number area in the U S end and area in the D S end based on depth from the U S end are printed The area in the U S end must be greater than the area in the D S end Make sure this is supposed to be a wall entrance and that the channel sections are described properly Processing is stopped W S ELEV IS 10 FEET OR MORE ABOVE OPEN CHANNEL WALLS IN XXX STATION XXX D XXX DH XXX The subroutine station depth and maximum open flow depth are written Open flow depth reached the maximum limit in the program Raise the heights of the channel walls at this point and resubmit Processing is stopped OVER 50 RECORDS WRITTEN IN XXX ELEMENT XXX STATION XXX The subroutine element and station are printed The maximum number of 50 intermediate points in a reach eiement have been processed Divide this reach element into two or more reaches at the station printed and resubmit Processing is stopped CANNOT SOLVE QUADRATIC FORMULA FOR START OF OPEN FLOW IN RCHUS STATION XXX The station at the D S end of t
21. It is designed to run in batch mode Required input to the system consists of 1 Title information Channel element definitions 3 Cross section definition 4 Cross section points definition 5 Q card of which the first is required and the subsequent Q cards are optional for change of flow rate in the system The entire input is thoroughly scanned for required information and range values of optional information before processing begins If any errors are detected processing will stop Warnings may be issued but they will not prevent processing Processing consists of three phases Analysis of the system in the downstream direction phase I analysis of the system in the upstream direction Phase II and analysis of the downstream profile from Phase I and the upstream profile from Phase II to obtain a composite profile Phase III The processing was designed to continue calculating unless gross errors are encountered Warning messages may be issued concerning tolerance levels not being reached on an iterative approximation These may or may not effect the overall solution to the problem however processing continues If gross errors are encountered an error message will be issued and processing will stop Output of the system consists of three reports 1 listing of input with edit scanning messages 2 w s profile listing of the composite profile obtained in Phase III of processing 3 profile
22. NO 4 Nome Project Q CARDS The first Q card is required card Lo specify the Q at the headworks Card Col Variable Description 1 O Required card identification character 11 18 S H in cfs at the headworks Second Third nth Q card BE These are optional cards used to obtain w s hgl profiles for different flow rates in the system see Sec 3 3 3 for program limitation Card Col Variable Description 1 O Required card identification character 11 18 at S H Hew Q at the system headworks 2l 25 actor multiplier which alters all lateral inflow in the system legend XXX XX Required pata YYY YY Optional Data 7 1 6 COMENOL CARDS 39 Control Cards The District user need generally not be concerned with the control cards However if additional data on specific runs is required the following options are provided Control Card 1 trace switch card This is a required card that is placed ahead of the title cards A O placed in CC 1 results in the regular composite water surface profile printout the District s Data processing center always includes this card with in CC unless otherwise instructed If 1 is placed in CCl the element file will be included in the print out Control Card No 2 JDEBUG This is a required card that is placed immediately before the Q CARDS 0 zero is placed in CCl results in the regular composite water surface
23. SX Required YYYY YY Optional ANoLLES2 COUNTY FLOOD CONTROL DISTRICT Page OL Dale HYDRAULIC ANALYSIS COMPUTER PROGRAM Homo UE E RR a a FOSIS FORM NO 1 Tu elelee PE sisi Elf b s ste rh sea 033 SECT WENT NO 8 RADIUS OF HON FORN HO 2 9 on sif 1 orcunvr X romr o f 7 Q E NE INVA 1 4 conr 4 ndi T Pbi 5 IHV p lt MEME i lt EBEN e je 1 1 1 l 309 sti Reach Chan 3 4 or 6 Card Col Variable Description lor 2 R Card identification character 4 12 STA Station at the 11 6 end 13 19 INV 1 Invert elevation at the U S end P 20 22 Cross Sect number assigned on form 2 to ideufity the specific Ident No section used at the U S end 29 32 Manning s n If left blank program uses 014 63 68 Angle of Curve Angle of curve 0 to 180 degrees necessary to compute bend loss Beginning and end of curve must coinc ide with beginning and end of reach 60 74 Angle Point Angle point 0 to 15 degrees necessar y lo compute angle point loss Location of angle pt must coincide with beginning of the reach 75 76 No of Manholes Number of manholes 0 to 10 necessar y to Compute manhole losses Legend data YY
24. The Reach element is a length of channel drain or natural river with a constant invert slope flow rate cross section and Manning s n value Element data for each Reach must be entered in the Element Data dialog Link length must be entered in feet Manning s n values must be entered The program default is n 0 013 Angle Point for closed channels is entered in degrees If an angle point is used it is assumed to occur at the upstream end of the reach element The maximum recommended angle point is 15 degrees Angle of Curvature for closed channels is entered in degrees If an angle of curvature is input to represent a curve in the horizontal alignment of the reach it is assumed for the entire length of the reach from start to end Radius of Curvature for open channels is entered in feet and has similar restrictions as the Angle of Curvature Direction of curvature based on looking upstream in the system positive angles turn right and negative angles turn left Number of manholes is used for the manhole loss calculations Transition 25 WSPG Documentation Element Data Element type Link Invert Elevation Llpstream Link Ground Elevation Llpstream Link Length Channel Group Channel 3 A transition is a link element for which the channel type is changing from the upstream to the downstream end The upstream section is input the downstrea
25. area of the pier The default reduction factor is 1 0 Bridge Exit Element Data Data Input Descriptions Element type Bridge Exit v The Bridge Exit element is used when a channel transitions from a section with piers into a section without piers Junction 33 WSPG Documentation Element Data Element type v Results Pesut De o Flow o 2 Junction element is used to introduce lateral flow side flow entering either channel pipe lateral invert elevation cannot be less than the downstream invert elevation The junction cannot be bound by either a System Headworks or a System Outlet The lateral branch data must be input as well Lateral Branches 34 Data Input Descriptions Branches Mame Upstreami Channel Group Confluence Angle The Junction and Join elements require that a Lateral Branch be defined The Confluence Angle degrees is used to calculate entrance losses The incoming flow rate must be input cfs The invert elevation of the lateral branch cannot be less than the downstream invert Confluence angle must be between 0 and 90 degrees either positive or negative Lateral inflow may be negative Join 35 WSPG Documentation Element Data Element type s 6749 29 307 570 0 0 Channel Group lL Channel3 J engt
26. be any element except a system outlet SO Element 1 may be any element except a system headworks SH 5 1 7 Bridge Entrance BE Refer to Figure 5 7 A bridge entrance is an element used where flow enters fram an element without piers into an element with piers A bridge entrance is considered to have a zero length element even though the bridge pier nose may have a minor length Element X 1 may be a SO R JX or TS Element X 1 may be a R JX TS or SH It is noted that neither section 1 or 2 can be a pipe 5 1 8 Bridge Exit BX Refer to Figure 5 8 The bridge exit is also considered to have a zero length element A bridge exit is an element used where flow exits from an element with piers into an element without piers Element 1 may be a SH R JX or TS It is noted that neither section 1 or 2 can be a pipe 2 1 3 Wall Entrance WE Refer to Figure 5 9 This element is used when there is sudden change in the conduit section such as a headwall or an abrupt contraction This element is considered to have a zero length The user should supply the loss coefficient expressed in terms of the velocity head If left blank on the input card the program uses a value of 5 for kc See Hydraulic Handbooks for typical values Element 1 may be a SO JX or TS Element 1 may be a SH JX or TS The section for element 1 cannot have piers however it can be an open channel or closed conduit
27. calculations GIS data exchange reports and water quality components available in XP Software General Program Description Introduction XP Software reviewed and updated the original LADPW code for WSPG Notable modifications are herein indicated The XP Software re write of WSPG primarily converted the FORTRAN to the more current programming code C The capability to handle a branching dendritic network was added Basic Theory The computational procedure is based on solving Bernoulli s equation for the total energy at each section and Manning s formula for friction loss between the sections in a reach The open channel flow procedure utilizes the standard step method Confluences and bridge piers are analyzed using pressure and momentum theory The program uses basic mathematical and hydraulic principles to calculate all such data as cross sectional area wetted perimeter normal depth critical depth pressure and momentum The program processes the computations in three phases Analysis of the system in the downstream direction Phase l analysis of the system in the upstream direction Phase and analysis of the downstream profile from Phase 1 and the upstream profile from Phase II to obtain a composite profile Phase The processing was designed to continue calculating unless gross errors are encountered Warning messages may be issued concerning tolerance levels not being reached on an iterative approximation Th
28. cards are entered once per project Title cards are used for output title title card is required to start processing Card Col Variable Description 1 amp 2 1 Card identification characters 4 80 None Number and alphabetical characters for output title second title card T2 is an optional card Card Col Variable Description 1 amp 2 T2 Card identification characters 4 B0 None Number and alphabetical characters for output title Third title card T3 is an optional card Card Col Variable Description 1 amp 2 T3 Card identification characters 4 80 Number and alphabetical characters for output title Legend XX Required YY Optional Nom uon ea e e 7 1 2 ELEMENT CARDS 21 QS ANGELES COUNTY FLOOD CONTROL DISTRICT HYDRAULIC ANALYSIS COMPUTER PROGRAM FOSIS FORM NO 1 REEE EET EBLE rte ela ose ROSS SECT DENT ee Tk Card Col 4 thru 12 13 thru 19 20 thru 22 49 thru 55 STA 2 mie epi epe ll mim System Outlet SO Variable SO Sta 1 Inv 1 Cross Ident No W S SO at FROM FONN HO 2 jii m iu m i un i n OU Dale Nome a Project __ re E LS e150 Jl eT Tn sehe WS ELEV AT RADIUS OF SQ ANO onsi cunve 2 oF cunve X romt 9 I Je Y A 47 conr 6 TL inn B Hi
29. elements x downstream and upstream channel do not match Channel types at wall element x do not change Upstream channel of wall entrance x contains piers Use a bridge exit instead Downstream channel of wall exit x contains piers Use a bridge entrance instead Junction x has a channel of irregular type Point set for channel x exceeds maximum allowed number of 99 One or more errors were detected while reading the data file Please correct the above errors first Too many characters in input line Input data incomplete Too few items Branch x is defined twice Invalid keyword x in the data file Duplicate ID name x Undefined object x Invalid number x Channel height of channel x is not positive Channel width of channel x is not positive Total pier width for channel x exceeds the channel width Pier width for channel x must be a positive number Irregular point set of channel x has less than 3 points Irregular point set of channel x does not fulfill monotonous sequence requirements ERROR 47 ERROR 48 ERROR 49 ERROR 50 ERROR 51 ERROR 52 ERROR 53 ERROR 54 ERROR 55 ERROR 56 ERROR 57 ERROR 58 outlet ERROR 59 ERROR 60 ERROR 61 ERROR 62 ERROR 63 ERROR 64 ERROR 65 ERROR 66 ERROR 67 ERROR 68 ERROR 69 ERROR 70 depth Error Messages Downstream element of element x is of invalid
30. jg Confluence angle of Lateral Two with main line 0 1 to 90 de g Legend Req d data YYYY YY Optional data FLOUU UUNI HOL DISTRICT Page OL 0 HYDRAULIC ANALYSIS COMPUTER PROGRAM Name FOSIS FORM NO 1 Hels 586 Ils erede Fes fese AEDT EEE ROSS SECT IDENT NO WO ELEV AT RADIUS OF STA INV FRON FONN NO 2 n 8Q AND On cunve 4 or cunve pont f MEE is DS POPE 8 as LAIFI t 3 INV s I x CONF X cone 7 Mg THT iii Th 145 iii i 4 5 6 1 5 un mE ets stat efa fel Entrance DE E of zero length STA 1 STA 2 INV 1 INV 2 SECT 1 may be channel type 1 A J 5 and 6 and must not have piers SECT 2 may be channel type 1 2 3 5 and 6 and must have a minimum of one pier below the W S No of piers t to ion Sect 1 and Sect 2 must be identical except for the piers or cover Card Col Variable Description 1 amp 2 BE Req d card identification characters 12 STA 1 Station at the U S end Sta 1 is left blank it will be set equal to the sta at the 0 5 end of the previous element 13 19 INV 1 Invert Elevation at the U S end If INV 1 is left blank it will be set equal to the invert elevation at the 11 5 end of the previous element 20 22 Cross Sect A nu
31. of piers lt 0 or gt 10 for channel section x ERROR 14 Not enough pier elevations given for channel x ERROR 15 Channel cross section is changing at node x Must replace node by a WALL or BRIDGE type node ERROR 16 Upstream and downstream channels change for reach x Replace by a transition ERROR 17 Headwork x has a higher elevation than its direct downstream node ERROR 18 Flow defined at headwork x is non positive ERROR 19 Channel type for channel x is irregular Types have to be between 1 and 6 ERROR 20 Link x has non positive length ERROR 21 Invalid curvature for closed channel x Absolute value of curvature must be between 0 and 180 degrees ERROR 22 Invalid angle point for closed channel x Angle point must be between 0 and 15 degrees 49 WSPG Documentation ERROR 23 ERROR 24 ERROR 25 Manhole number of channel x must be between 1 and 10 Invalid value for Manning s n for channel x Bridge element x cannot have a pipe as its downstream or upstream element Either replace bridge element or channel definition ERROR 26 ERROR 27 ERROR 28 ERROR 29 ERROR 30 ERROR 31 ERROR 32 ERROR 33 ERROR 34 ERROR 35 ERROR 36 ERROR 37 ERROR 38 ERROR 39 ERROR 40 ERROR 41 ERROR 42 ERROR 43 ERROR 44 ERROR 45 ERROR 46 50 Channel types at bridge element x do not change Channel cross sections of bridge
32. open channel or closed conduit with or without piers The section for element X 1 may be an open channel or closed conduit however it cannot have piers 16 Element Description WALL EXIT SUDDEN EXPANSION ELEVATION Sudden S O PLAN FIG 5 10 Dialog Box Wall Exit Channel and Conduit Section Description Channel and Conduit Section Description Channels and conduits sections are classified as regular or irregular sections The regular sections Channel Types 1 4 are trapezoidal rectangular channels box conduits or pipes The irregular sections Channel Types 5 and 6 can be natural river sections or irregular shaped improved sections with or without a cover Piers or center walls can be included in any section except a pipe section Regular Channel Type Sections The program utilizes the following regular sections Chan Type 1 Trapezoidal open top with or without piers FIG 6 1 Trapezoidol section with or without piers Dialog Box Trapezoidal Open Chan Type 2 Rectangular open top with or without piers i d 1 Ln FIG 6 TG Rectangular section with 5 CHAN or without piers TYPE od 2 3 ng e Inv cross foi Dialog Box Rectangular Open Chan Type 3 Box covered trapezoidal or covered rectangular with or without piers 19 WSPG Documentation FIG 6 3 Box culvert covered trap CHAN
33. or rectangular section TYPE with or without piers 3 1 1 S be 1 2 rm ccc m Dialog Box Trapezoidal Rectangular Closed Chan Type 4 Circular pipe one cell only FIG 6 4 1 Circular section pipe 2 cell only 4 Zi 16 9 28 81 P Dialog Box Pipe Note in multiple cell sections the cells may have variable width but must be of equal height and on the same invert elevation The top elevations of all piers in regular or irregular channels are assumed equal Irregular Sections The program utilizes the following irregular cross sections Chan Type 5 Irregular open top with or without piers 20 Channel and Conduit Section Description gt oe we wow eee ween im REF x I 5 1 hee te Min ps ee FI D m 1 I FIG 6 5 isl Irregular open top section T with or without piers it 2 D 3 5 k om gt je x z i i gt i lt o SE 3 3 gt i gt E BUNT Co LOI X Dialog Irregular Chan Type 6 Irregular covered with or without piers FIG 6 6 Irregular covered section TYPE 6 with or without piers Dialog Box Irregular Definitions amp Restrictions for Irregular Sections An irregular cr
34. profile printout and plot The District s Data processing center always includes this card with a O zero in CCl unless otherwise instructed A 1 placed in CCl results in the regular composite watersurface profile print out and plot and in addition prints out the lower and upper stage profiles and prints computational flow A 2 placed in CCl results in the regular composite water surface profile print out and plot and in addition prints out the lower and upper stage flow profiles 40 7 2 SAMPLE INPUT 41 Los Angeles County Flood Control District DATA CENTER JOB WORK ORDER DAT gt arlras DATE WANTED gt ane DIVISION Oe min PROGRAM No 515 Punch 7 Verify te Reproduce Corrections Computer On line EZ Off line Listing SPECIAL INSTRUCTIONS Job Requested Laser iS CQ caso Teno maso ROOM 19 5 1786 FCD 1 7 Requeatec By 42 O 00 5 2 21 9 Ca Projects e 907 Page Nome Ow 4 I l t 1 CIPS ESSE SEI MINO ee LOS ANGELES COUNTY FLOOD CONTROL DISTRICT HYDRAULIC ANALYSIS COMPUTER PROGRAM FOSIS FORM 1 f n H 4 4 ER 56 PEERS EOE LOS ANGELES COUNTY FLOOD CONTROL DISTRICT Page 3 Dale a aan HYDRAULIC ANALYSIS COMPUT
35. proper sequence 77 9 1 5 ERROR MESSAGES IN CHANNEL DEFINITION PROCESSING 1 3 4 5 6 SECTION NUMBER INVALID OR MISSING DATA WRITTEN TO THE OUTPUT FILE There was an invalid section number on a CD or PTS card Section number must be between 1 and 200 Correct invalid data INVALID VALUE FOR THE NUMBER OF PIERS MUST BE BETWEEN 0 AND 10 IF GIVEN The number of piers on the CD card is invalid Correct the invalid data AVERAGE WIDTH OF PIERS IS INVALID OR NOT GIVEN WHEN THERE IS A VALUE FOR NUMBER OF PIERS IN THE CHANNEL When number of piers is given there must be a vaiue for average width of piers Correct whichever field is wrong CHANNEL HEIGHT IS INVALID OR IS NOT GIVEN Correct the height data in the channel definition CHANNEL DIAMETER IS INVALID OR IS NOT GIVEN Correct the width data in the channel definition CHANNEL WIDTH IS INVALID OR IS NOT GIVEN Correct the width data in the channel definition THERE IS A DIFFERENCE BETWEEN THE NO OF PIERS AND THE NUMBER OF VALUES FOR PIER DEPTHS If fewer depths are given for piers in an irregular section than the number of piers indicated then the remaining pier base values must be added even if they are 0 0 If more depths are given only the amount up to the number of piers declared will be considered 78 3 1 6 ERROR MESSAGES IN CROSS SECTION POINT PROCESSING 1 ENCOUNTERED POINT WHERE X 0 AND Y 0 BEFORE ALL THE INDICATED POINTS
36. type Element types do not match Upstream element of element x is of invalid type Element types do not match Cannot find element x Has the element been defined Files share same names Cannot open input file Cannot open output file Cannot open binary results file There are more branches defined for junction join x than stated by the branch number x is larger than the maximum allowed branch number Branch name x has already been used for the join Branch name x given in the NETWORK section hasn t been assigned to any join The NETWORK section is supposed to start with an outlet It starts with element x which is not an The beginning of a branch is expected to start with a join Element x found which is not a join Flow specified at headwork x has not the same value than the flow specified at the corresponding join Missing branch for join x More laterals have been defined than branches were given Outlet already used No headwork expected x stream too short branch The branch name x hasn t been assigned to the join Error in computation Negative wetted area computed for channel x Abnormal stop of processing Internal error when computing wetted area Abnormal stop of processing Error in computation Negative wetted perimeter computed Abnormal stop of processing Error in computation Negative depth computed Abnormal stop of processing Error in processing No wall ob
37. water surface profile when the friction slope is at one or greater Open channel processing is limited to a depth ten feet above the height of the described element Undulating bottoms cannot be calculated properly in an irregular shaped section unless the depth of flow is above the undulations The program will not accept vertical drops in invert elevations Calculations in the Water Surface profile print out may be slightly inaccurate to 001 due to rounding variables to be contained on the U S and D S data files The invert cross fall e in inches is optional and may be used only with channel type two a rectangular open channel or R C Box Sections 89 12 APPENDIX This Appendix contains the computationa symbols methods procedures and equations used in the program Table of Contents Page 12 1 Symbol 91 12 2 Irregular Section Definitions 93 12 3 Conduit Section Geometry Equations 94 12 3 1 Flow 95 12 3 2 Wetted Perimeter 86 12 3 3 Hydrostatic Pressure 97 12 3 4 Depth of Flow 98 12 4 Computational Procedures 99 12 4 1 Basic Equations of Steady Flow 99 12 4 2 Reach 1 5 5
38. 11 222222222222 EN 1111 22 gt 1114 27 22 11 2 11 22 AA AA J3 11 22 11 22 AA AA 11 22 11 22 AAAAAAAAAAAA O 4 11 22 11 22 AAAAAAAAAAAA 5 11 22 11 27 AA AA 11 22 1 22 AA AA 11 22 11 22 AA 1111111111 222222222292 1111111111 222222222222 1111111111 222222222222 222222222222 AA AA A START JR 1212 rF0515P RING ROOM A108 7 59 05 M 28 FFR 19 SYS 195R 1712 START Aw 9 A START ANA 1212 Fnsi5P RING AINA 7 59 05 M 2A FER 79 SYS 165564 JNA 1212 START A START JNR 1212 Fn5 5P RING ROOM AINA 7 59 05 28 FFR 79 Ra PRY SYS 65 INR 1212 SIARI START ANN 1212 F0515p RING RINM AINA 7 59 05 AM R FFR 79 RAL PRY SYS ISSA Inh 1712 SIART Abese START INR 1212 FASISP RINA ATOR 1 59 05 2n FER 79 Ra PR SYS 1558 JNA 1212 START Ates Seek START INR 1212 Fnsisp WING ROOM A108 7 59 05 M DA FEN 79 94 pn SYS ISSA 12412 STAR A 55 CARD rn SECT CHN IF PIERS 0 l 2 AVE PIER n n 2 50 1 25 WATER SUREACI HEIGHT DIAMI TER 40 00 10 00 10 00 WIDTH nn AN 00 71 78 3 00 3 3 00 1 00 3 00 3 00 INV bRnp 0 0 0 0 DFFINFTIOM ESTI
39. 11 5 TATA 62R 90 11 5 DATA STAT EON 54Hn 90 REA 51 DATA STATINN nno REACH B U S NATA SIATIN 7490 00 11 5 BAFA STARTON SYSTEM SNA PROF Hl 1 PU H INVER f 7T40 4H 3 INVERT 741 40 INVER 741 46 INVERT 741 50 INVER 741 05 51 amp INVERT 52 51 INVER 7152 53 Hive aE 758 In phun 162 52 62 84 lir p CAD La CARD LISTING PREEMPT CARD PSI ING E SECI l SFCT N 1 0 013 m SFCF LAT 1 1 N 1 0 0 013 Stat N 1 0 013 x SECT N 1 0 013 n 0 013 SECT N 0 013 x SECU IAJ 2 N a 0 n 013 xt 4 0 013 M 3 0 013 I i 0 013 Steg 4 8 752 20 RADIUS 0 0 04 3 0 4 70 60 140 0 0 n n RADIUS 0 0 RADIOS 0 0 RADIUS 0 0 RADIOS 14 INVIRI 4 0 0 152 0 INVERN I 4 0 0 RKAnjJ s 0 0 MOS iptv D ANGI F 16 00 PHI 3 30 00 ANGLE 0 0 ANGIE 0 0 ANCL I 0 0 ANGA F 0 0 PHI 4 10 00 ANGI I 0 0 I tL gg f 0 0 PAF ANG pp 0 0 PHI 6 Att PF n n 0 0 ANG 0 0 ANG p 0 0 4 0 0 AM PT 0 0 Art pF 6
40. 23 21 H 0 5 AQ AAT 0 0 310 00 3 00 0 09 0 118 02 0 00252 001514 0 18 16 151 3 00 PHAR 14 23 00 19 174 42 172 hH500 0 22 18 T 661 49 814 0 0 19 n 40 0 00 80 00 3 00 0 ILARA 0 00282 01126 0 04 16 151 1 0 25500 00 23 19 840 42 910 21 15 6 945 49 855 0 0 19 840 40 00 3 00 0 0 0 89 20500 00 20700 00 20Rn0 00 20900 00 2100n n0 21100 00 2 206 00 21200 00 21200 00 21500 00 21500 00 21700 00 21800 00 21900 00 22000 00 22100 00 22200 00 22300 00 2724 00 00 27500 00 22600 00 22700 00 22800n n0 22900 00 23000 00 23100 00 21200 00 23100 00 23400 00 23500 00 23500 00 24700 00 23 00 00 23900 00 2 000 00 22100 00 20200 00 24300 00 24400 00 2500 00 2400 00 2 71700 00 2 80n 0nn 24900 00 75000 00 25100 00 25200 0 25300 00 25 00 00 75500 00 RAPT OMA STA 206sn0 EN 255000 SAMPLE INIffD RY SAMAN 1 SHAS DATE FER AT 10979 TYPICAL JRAPEZ7NDOAL CHANNE WITH PIERS 5 amp 2 C H HARARRARRARRRARRRRRRARRRARBRARARRARRRRRRVUARIRARRCRRRARRRRRRRRRRRARRRERRBR I ARARARRRRRRARRRRARRRRARRRRRRARARRARIRAARAWARARRRCRARRRRRRRARRRARARBERRRH 1 I f H I C f I W C F F ARRAARAPARANAAAABANRANAAAAARAANB
41. 80 Arg pg 2 MAN NH MAN H 1 MAN H MAN H 4 MAN H MAN H n MAN MAN H FON ERP MI 43 WATER SURFACE PROF IDE CARD ELSE Ene WATER SURFACE PRDR III FIEMMEN CARD LISTING ND FRRORS ENCOUMTFRED COMPLHTATION IS NOW RE GEMNN ENG WARNING lt 2 7 WATER SURFACE FUFVATION GIVEN IS LESS THAN OR FOUALS INVERT FLEVATTON HDWKDS W S FLFV INV hC FOO PAGE 1 WATER SURFACE NH 9202 STA 372320 TH 15100 SAMPLE ENTERED RY GARVIN 1 PEDERSON FFR 21 19 9 TYPICAL ROX AND PERF STORM DRAIN STATION INVERT Wes 0 VEL FNERGY SHPER CRITICAL HGT 71 MN ELOU HEAD FLFY NIA In Nil PIER I FI FM Ss SF AVE NORM DEPTH XG REE lt X 5 G G z Q Z 5 yy Q X ERD PRANK REE ES AEA Ix G X SE RAE yC y X AR y XR G Y GY G Y A G HERO 3 0 OTRO ERE TOOK OHO C 559 007 0 5 3720 00 6 11 720 12 200 400 0 13 15 2 167 754 967 0 0 1 449 8 50 7 08 0 0 n 0 0 290 50 00328 2005102 1 60 B 500 0 0 4000 50 741 240 12 633 155 043 HOn 0 13 35 2 161 15 5 n00 1 349 8 50 1 38 0 0 0 0 0 JUMCI SIR O 00n31 5 191 0 0 401 5 741 13 9459 155 429 60 0 11 01 1 883 151 312 0 0 4 464 8 50 1 08 0 0 0 13 50 0 00294 0 05 195 0 0 4 0230
42. 91 941 941 aat 941 92 END FND END A lt x Artes Aseo Agnes FOS WATER SURFACE PROLIF CHANDY OFF ERON PARF 1 CARD NI IIE AVE HETGHT 1 BASE 2 7R Inv YER Y veg VCS YIS Y 9 CONF PIERS WEDIN DIAMEIFR WIDTH bene rn l 3 n n n 50 n n n o cn 4 rn 3 4 i 7 80 4 4 4 75 cc HF An ING HEAD TMG 1 INF INF Nn 1 INF 1 2 4 1 18 Is ARISE WATER SURFACE PROF TER CARE LISTING WATER SUREACFE PIF IF TITLE CARD LTSTING PRO 9202 1 STA 372420 TO 1500 SAMPLE PRIIMELEM ENTERED GARVIN J PEDERSON TYPTCAL AX AND PIPE STARM NRATN DATE FFA 21 para PAGE NU FMENT FI in I FLEMENT FIFMEMT FL FMENI Nn ne NII NO 4 9 1 15 15 A VAS HATA WATER SURE ACE WATER SURE ACE SYSTEM x H S DATA STATION 3 20 00 REACH 11 5 DATA STATION 4000 50 3 U S NAIA STATION 4016 50 REACH 1145 DATA STATION 30 00 PEACH U S PATA STAT UON 4170 90 REACH 5 DATA STAVE 5240 00 Rach
43. BAARARAAAHHAWRAARRC ABARRAHNHRRAARHABRARE PBB H W H 1 I W i LI t 1 wet f 2 9 54 13 89 18 25 22 26 96 Weal 44 40 02 5n 0 4 0 AX ro c x N il 1 GENSSARY INVERT FEEVATEON C CRITICAL WATFR FIHFVATIIN H CHANNEL FHFRGY GRANE INF CURVES CROSSING DVER BRINGE FNIRANCF OR FXIT WALI FNTRANCE n FXIT 9 1 ERROR MESSAGES AND EXPLANATIONS 70 3 1 1 ERROR MESSAGES IN EDITING THE ELEMENT CARDS gt 6 l THE ABOVE SYSTEM OUTLET WAS FOUND TO BE IN ERROR ELEMENT NOT EQUAL TO 001 The system outlet must be the first element to be processed Check order of input to make sure the system outlet card follows the title cards THE ABOVE INPUT CARD DID NOT CONTAIN THE REQUIRED DATA XXX Check the data on the input card with the input documentation for that element to make sure allthe required data is present see a programmer if data is correct THE ABOVE INPUT CARD CONTAINED AN INVALID ELEMENT NUMBER The above card contained an invalid code in the element type field Check input field with input documentation description and correct data THE ABOVE INPUT CARD CONTAINED AN INVALID STATION The station on the above card was not in sequence with the previous stations The value was less than the station of the previous element Correct
44. E XXX JUMP FORCE XXX IN PPMDEP The iterated depth upper limit depth iterated force and force at the hydraulic jump are printed The depth causing the force at the hydraulic jump should be equal or between the depths on either side of the jump but this was not the case Either the force given for the jump or the points given from the U S or D S file adjacent to the jump are wrong Check the U S and D S files for valid data print switch 2 This is an internal problem See programmer Processing is stopped 16 17 18 ELEMENT NO DNORM DCRIT LESS OR EQUAL TO ZERO IN ELMCHG The element number is printed Either normal depth or critical depth could not be computed for this reach This should not happen check the channel description for the reach element Hand calculate normal and critical depths and if they exist in the channe1 description see a programmer because either function DNORM or function DCRIT is in error This exists as a warning message and processing will continue but wi11 probably terminate before the end of the run ERRORS WERE ENCOUNTERED IN SETTING THE PRELIMINARY VALUES IN ELMCHG The number of errors in analyzing adjacent elements and flow rates and computing critical and normal depths in written These errors must be corrected and the program must be rerun before actual processing will start If this message occurs on the same run for other than the first flow rate th
45. E Bruington Chief Engineer 2250 Alcazar Street Los Angeles P O Box 2418 Terminal Annex Telephone 213 226 4111 Los Angeles CA 90054 WSPG Water Surface and Pressure Gradient Hydraulic Analysis System USER MANUAL Prepared By Saman J Shahin Garvin J Pederson Design Systems amp Standards Group Design Division Richard Schaeffer Business and Fiscal Division April 1979 FORWARD This program was written for use by the Los Angeles County Flood Control District or by its Contractors on District projects The use of this program by cthers is made and accepted with the understanding the Los Angeles County Flood Control District makes no warranties express or implied concerning its accuracy completeness reliability usability or suitability and the District shall be under no liability for any use made thereof This program is the property of the District Therefore a recipient further agrees not to assert any proprietary rights to this program or modification of or to represent it to anyone as other than a District program ACKNOWLEDGMENTS Special thanks to Design Division Stenographers Deborah Mount and Rita Lopez for their patience and skill in typing this report Thanks also to Eddie Nishiyama and Roy Fujimoto for preparing the drawings TABLE OF CONTENTS SECTICN Page 1 Introduction 1 2 Purpose of Program 1 3 General Program Description 1 3 2 Basic Theory 1 3
46. ER PROGRAM Mame Gras ea U Pe oegsors FQ3I FORM 2 S 9202 act CHAN ave wioty HEIGHT WIDTH rr OF PIERS vi von 2 TE we 3 vipa 8 vira 6 vira sell ilii e r e s R HEB HIT E 26 i zn HEE 5 2 f A 5 E A E3 LE uz 1 3 ziola l Page 5 01 5 Dale 2 21 19 9 Nome Project HYDRAULIC ANALYSIS COMPUTER PROGRAM FOSIS FORM NO 4 LOS ANGELES COUNTY FLOOD CONTROL DISTRICT Los Angeles County Flood Control District DATA CENTER JOB WORK ORDER 7 E gt Merge o LOfi line Listing _ SPECIAL INSTRUCTIONS Las C aao S canap 46 Tm et ae ee ea 5 ee 2 and Poge Name Project TRICT HYDRAULIC ANALYSIS COMPUTER PROGRAN FOSIS FORM NO Le ug m Fa SS m Le 1 i 1 2 ej s II o SSS SEE a gt ima e WRIT XL IUE LOS ANGELES COUNTY FLOOD CONTROL DIS 2 Dato 2 3 Q 2 Page LO ANGELES COUNTY FLOOD CONTROL DISTRICT Cre
47. ETPI for irregular sections The appropriate data could not be computed in this irregular section The problem is internal The cross section points used for the computation are probably distorted Seea programmer The desired value is set to zero and processing continues but will probably be in error and processing will probably terminate before the end of the run 84 26 to to co PIER WIDTH IS WIDER THAN CHANNEL WIDTH IN XXX DEPTH PIER WIDTH XXX Hither force area or wetted perimeter depth and average pier width is printed The width of the number of piers at the given depth is wider than the channel width at that depth This is a user error Correct the input data and resubmit The desired value is set to zero and processing continues but results will probably be erroneous and the program will probably terminate before the end of the run DEPTH EXCEEDS XXX WITH FORCE TOO LOW IN FORCEM TEST DEPTH XXX TEST FORCE XXX XXX XXX DESIRED FORCE XXX The iterated depth and force the maximum or minimum depth and the desired force value are printed The desired force in the bridge exit could not be reached within the prescribed depth limits The desired depth is set to zero and no processing is done in that end of the bridge exit Processing continues with the next element DESIRED FORCE IS OUT THE RANGE OF DEPTHS IN FORCEF TEST DEPTH XXX TEST FORCE XXX XXX XXX DESIRED FORCE
48. ISTRICT WALL ENTRANCE or Sudden Contraction WE HYDRAULIC ANALYSIS COMPUTER PROGRAM FOSIS FORM NO I Description Page QL Dale Name Project 2088090 Jelsi s 67 e 3 213 43 AT e 381 e 9182 als Te 8 ELEV RADIUS OF 89 ANO OR 8 Element of zero length Required card identification Characters Station at the u s end previous element Invert elevation at the u s end CURVE If Sta 1 is left blank it will be set cyual to Sta 1 at the u s end of the INV 1 is left blank it will be set equal to the invert elevation at the u s of the previous element number assigned on Form No 2 to identify a specific section used at the u s end STA 1 STA 2 INV INV 2 SECT 1 Must be without piers SECT 2 Sect 2 may have piers max 10 Card Col Variable l amp 2 WF 4 12 STA 1 13 19 INV 1 20 22 Cross Sect Ident Ho 29 32 factor for computing the loss at WE if left blank program uses 0 5 legend XXXX XX YYYY YY Required Data Optional Data IM EU ANSELES COUNTY FLOOD CONTROL DISTRICT HYDRAULIC ANALYSIS COMPUTER PROGRAM Nome et te FOSIS FORM 1 uri A irte 219438102 0039 WENT w8 ELEV AT RADIUS OF n ELEM STA INV ron 2 o 8Q AND On B CURVE 4
49. ND LOWER LIMIT VALUES CALCULATED IN BERNLI WERE THE SAME LOWER LIMIT XXX UPPER LIMIT XXX The values from Bernoulli s equation based on the lower and upper limit depths are printed This is a warning message indicating that depth cannot be found by Bernoulli s equation and that the upper and lower limit depths are the same The depth at the end of the reach is set equal to the current known depth Processing continues THE VALUE SOLVE FOR DEPTH IN BERNLI IS NOT BETWEEN THE UPPER AND LOWER VALUE LIMITS DESIRED VALUE XXX UPPER LIMIT VALUE XXX LOWER LIMIT VALUE XXX UPPER LIMIT DEPTH XXX LOWER LIMIT DEPTH Xxx The value needed to solve Bernoulli s equation the upper and lower limit values from Bernoulli s equation and the upper and lower limit depths are printed This is a warning message indicating that depth to solve Bernoulli s equation cannot be found between the limits where it is expected Depth at the end of the reach is set to the current known depth or to normal depth depending on whether the desired value to solve Bernoulli s equation is greater or less than the prescribed limits Processing continues 81 12 13 14 THE XX FILE DOES NOT HAVE DEPTH AT THE HYDRAULIC JUMP IN JUMPR The U S or D S file is printed The station of the hvdraulic jump cannot be computed although it is indicated to exist because the U S and D S force curves crossed The actual location of the jump is not included on eith
50. NG Yuu Y 2 Y 3 Y YI5 ya y n CAGE Yio HFADINC LINE TS HEADING 2 IS HFAD ING LINE NO 3 IS ON M FAS 50 WATER SURFACE PROETEF IU CARD LESTING WATER SUREACE PHIM PIF VEDIE CARD ft ISI IME CPFEK STA 206400 IN 255400 SAMPLE PROALEM ENTERED SAMAN 1 SHAHIN 27 1979 TYPICAL IRAPF7OIDAL CHANNEL WITH PLERS PAGE FLEMENT FLFMFNT FLEMENT FLFMFNT FLFMFNT FLEMENT FLFMFNT FLFMENT FLFMFNT FLFMFNT FLFMFNT NI Ni NI N Nf Nn Nn Nn 10 12 13 15 15 15 WATER SUREATE SYSTEM 11 5 DATA 20400 00 H S DATA STAT Peis 71100 00 BRIDGF FXIT 8476 DATA STAT TOM 2 100 00 RFACH x U S DATA STAT TON 21 180 00 FNIRANCF 8 5 DATA STATIN 21A0 00 REACH U S DATA STAT tih 22119 16 RFACH H S DATA STAI 22419 76 REACH 11 5 DATA STATION 2760 RRIDGF EXIT 11 5 PATA STATIN 24 60 68 REACH 0 5 DATA STATION 22560 68 ENTRANCE 1 5 DAIA STATION 22560 EA REACH U S DATA STATION 2550D nn IS SYSTEM U S NATA STATION 25500 00 PHIM II F INVEUTF 9 54 INV HF 10 95 INVERT 10 95
51. PROCESSING There must be a system headworks card at the end of the element cards just preceeding the channel definition cards Check input data CHANNEL DEFINITION DATA CD DID NOT FOLLOW THE SYSTEMS HEADWORKS CARD CONTINUING TO LOOK FOR CD OR PTS There must be at least one CD card following the system headworks card and all CD cards follow the system headworks and come before the cross section points PTS cards Check input data NO CHANNEL DEFINITION CD OR CROSS SECTION POINT CARDS PTS WERE RECOGNIZED CHECK DATA There must be at least one channel definition card following the system headworks card Check input data card code columns NO CHANNEL DEFINITION CARDS BEFORE CROSS SECTION POINT CARDS CHECK DATA Check order of input cards Element cards ending with system headworks must be followed by at least one channel definition card Cross section point cards follow the channel definition cards INVALID CHANNEL TYPE ON CHANNEL DEFINITION CARD ITYPE X SECT XXX 15 the channe1 type requested and SECT is the section number the channel type is specified to define Channel type must be a number between 1 and 6 Check and correct this CD card NO CROSS SECTION POINTS ENCOUNTERED ASSUME NO IRREGULAR CHANNELS No irregular channels or cross section points are indicated for this problem This is a warning message Processing wiil continue INVALID CARD CODE ENCOUNTERED WHILE PROCESSING CD AND PTS CARDS CODE
52. Pipe Lo Irregular channel opens the Irregular Channel editor Restrictions were introduced on the point sets that characterize the cross section of an irregular channel For an open irregular channel type 5 the cross section has to be built by non strictly monotonously decreasing segment followed by a non strictly monotonously increasing segment This means that if following the cross section counter clockwise the x coordinates have to come in a non decreasing order and the y coordinates are separable into a first sequence of non increasing values and a second sequence of non decreasing values Like in the original code if the y coordinates of the first and last point are not identical the redundant part of the cross section will be truncated For an irregular closed channel type 6 a point set that fulfills the requirements has to be built by four subsequent sequences with 1 non decreasing x coordinates and non increasing y coordinates 2 non decreasing x coordinates and non decreasing y coordinates 3 non increasing x coordinates and non decreasing y coordinates 4 non increasing x coordinates and non increasing y coordinates Irregular channel editor 42 Irregular Channel Channel 3 Data Input Descriptions m Irregular Open Channel Graph 1 5 Shaye Feeh 10 8 XK 0 746 Y 0000 Graph Normal Closed channel See the full XP help file f
53. Q cross section and Manning s n A reach may have a straight or curving horizontal alignment however a curved reach must coincide with the beginning and end of the curve The same applies to an angle point in the horizontal alignment a reach must end or begin at the angle point Channel types may be either opened or closed regular or irregular In open channels regular rectangular or trapezoidal sections the super elevation of the water surface is computed and printed for each point in the curve In pressure flow bend losses angle point losses and manhole losses are computed and add to the friction loss for the reach Element X 1 can be any element except a system outlet Element X 1 can be any element except a system headworks 10 Element Description ELEVATION lt E 79 5 EA IN rS PLAN EXAMPLE STRAIGHT REACH WITH ZPT 0 END FIG 5 4 Dialog Box Reach Junction Structure JX The junction structure element is used where there is lateral inflow into the system Two different laterals can be handled by this element Element X 1 can be any other element except a System Headworks SH Element X 1 can be any other element except a System Outlet SO 11 WSPG Documentation Dialog Box Junction Join Structure JO The join structure element is used where there is lateral inflow into the system Element X 1 can be any other element except a System Headwork
54. SIN can CHAN TYPE 5 cM Ps P 0 5 AXG D YG AYG D YG AY i 3 0 5 bp D Y P P 6 If D is not greater than Ymax see Process 5 Otherwise 3 2 0 5AX i D 0 5 4X0 A YG D YG AY 3 nN bp Ymax Y P D 0 5 Ymax 0 5 Y P j 97 12 3 4 DEPTH OF FLOW D Depth computation when area of flow is known 15 4 9 28 81 1 D 1 bnet bnet 2 ZL ZR mh 2 2 1 bnet A e bnet 24 3 Compute The Full Area of closed section If is less than AH see Process 1 Otherwise D HGL Inv CHAN 4 Compute If is not less than AH D HGL Inv Otherwise Find D by trial and error from Area of part full pipe CHAN TYPE 5 Find D by trial and error from Area of part full section CHAN TYPE 6 Compute AH If A is less than then D HGL Inv Otherwise Find D iteration from Area of part full irregular section 98 12 4 COMPUTATIONAL PROCEDURES Assumptions are Steady one dimentional flow and incompressible fluids 12 4 1 BASIC EQUATIONS OF STEADY FLOW a Equation of Continuity A1 V1 A2 V2 Q b Manning s Formula friction slope 2 2 Sf 1 c Bernoulli s Equation open flow 2 D2 HV2 AL Sfav D1 ALSo where V 2g d Bernoulli s Equation pr
55. Surface Stages As previously stated the program processes in three stages The lower stage water surface w s profile begins at the system headworks and ends at the system outlet The computation will proceed downstream in every consecutive element as long as energy is available to maintain flow in the supercritical stage When energy becomes expended at any point in an element the lower stage profile will be discontinued from that point to the downstream end of that element Then computation will resume in the next element with a critical depth control until the system outlet is analyzed The upper stage w s profile begins at the system outlet and ends at the headworks Computation proceeds upstream in every element as long as the water surface at the downstream end of any two adjacent points can support the moving mass of water to flow at the critical or subcritical depth Otherwise computation will be discontinued from the downstream point to the upstream end of that element Then computation will resume at the downstream end of the next element with critical depth control provided no depth less than critical depth has been computed at that point on the lower stage profile Then computation will proceed up stream until the system headworks is analyzed If the computed depth of flow in any open section exceeds the given section height the program will extend vertical walls a note is provided in the output file indicating the computed water surfac
56. WERE PROCESSED ASSUMING ERROR Only the first coordinate of the cross section Points can be 0 0 otherwise the program cannot distinguish between blanks and zeroes If point desired is 0 0 use 01 01 for approximate data Correct invalid data 2 THE CROSS SECTION POINTS OUT SEQUENCE FOR AN IRREGULAR OPEN SECTION MUST BE COUNTER CLOCKWISE FROM MINIMUM X Check the sequence of points on the cross section point cards for the data which is out of order 3 THE CROSS SECTION POINTS ARE OUT OF SEQUENCE FOR AN IRREGULAR SECTION MUST BE COUNTER CLOCKWISE FROM MINIMUM X Check the sequence of points on the cross section point cards for the data which is out of order When maximum X is reached the following X values must continually decrease 4 MAXIMUM Y IS NOT AT EITHER SIDE OF AN OPEN IRREGULAR CHANNEL ASSUMED BAD DATA AND PROCESSING IS STOPPED For some reason maximum Y was not at the end of an open irregular channel Check input data and correct if wrong otherwise see programmer 9 1 7 COMPUTATION ERROR AND WARNING MESSAGES 1 6 INVALID RECORD CODE IN 1 X ELEMENT The subroutine record code and element number are printed invalid record code was encountered the record code value should be between 1 and 9 This code is set internally in the edit phase so it is a program problem see programming staff Processing is stopped WATER SURFACE ELEVATION GIVEN
57. WSPG Documentation Table of Contents MSPO NOA O eH ei te He RO e c eU e HEN 1 eto e t D e ea og nie e dei o E Ease n era 1 Introduction to WSPG EN P rpose ot WS PGi cd ae Rt E e Edu ideae mien 1 Distributed Versions of WSPGis eret edet eei eae 1 General Program Descriptions ade eye eal aaa 3 nae a eine ee le E 3 Basic Lr 3 Gomputational Proeed reSs iie erre ne ee eue me teer e dd te 3 iH Bic P 3 Manning s Oy ua ama CL 3 Starting Water Surface Elevations NE Gritical and Normal Depths saad i tan eodein 4 Velocity Head me PE 4 Water S urfaee Stl80g68 J ua pastes insane dein neler dud a a 4 Data Processing Description eR EINER ERO RBS 5 Data Processing Systerm DescriDtionuu a ies ua nennen nennen nnne aaa i ai usis 5 Element Description a a aet u d e 7 Element Types and Construction isiin 7 LINES 7 System Outlet SO 2 8 system Headworks EAE 9 Reach qd de gu do 10 Juriction Str ct re JX9 0 cocer EUR AEE ERR 11 Join ERROR RE 12 Transition Structure CTS saci e 12 Bridge Entrance n
58. YY Optional data LUS ANGELES COUNTY FLOOD CONTROL DISTRICT 06 Dole HYDRAULIC ANALYSIS COMPUTER PROGRAM Name 515 FORM NO 1 oon eor HEE AB Ml SECT WENT NO 8 ELEV RADIUS or ELEM STA INV 19 cunve 17 OF CURVE f TYRE X me te te te te 2 3 4 3 8 i 5 e ngaung nne ii 3 tat 15 53 QUIA in Transition Structure rs Element with gi ibn change between two adjac ee sections The length of transition must be greater than 0 0 Card Col Variable Description 1 amp 2 TS Req d card identification characters 4 12 STA 1 Station at the U S end n 13 19 INV Invert elevation at the U S ends 20 22 Cross Sect number assigned on Form No 2 to identify the specitic Ident No section used at the U S end 29 32 Manning s n If left blank program uses 014 legend Req d data YYYY Optional data LUD ANGELES COUNTY FLUOU CONTROL DISTRICT 0 ae HYDRAULIC ANALYSIS COMPUTER PROGRAM Name DEA FOSIS FORM 1 Proje o EEVEERLEEBIEFEEREEEEE EFE EFER EEG EERE ELEM 1033 SECT MENT NO PLIN 8 ELEV RADIUS or STA INV FROM FORM NO 2 n 89 ANO On cunv
59. as regular or irregular sections The regular sections Channel Types 1 4 are trapezoidal rectangular channels box conduits or pipes The irregular sections channel Types 5 and 6 can be natural river sections or irregular shaped improved sections with or without a cover Piers or center walls can be included in any section except a pipe section 6 1 1 Regular Channel Type Sections The program utilizes the following regular sections Chan Type 1 Trapezoidal open top with or without piers See Figure 6 1 Chan Type 2 Rectangular open top with or without piers See Figure 6 2 Chan Type 3 Box covered trapezoidal or covered rectangular with or without piers See Figure 6 3 Chan 8 4 Circular pipe one cell only See Figure 6 4 Note in multiple cell sections the cells may have variable width but must be of equal height and on the same invert elevation The top elevation of all piers in both regular or irregular channels are assumed equal 6 1 2 Irregular Sections The program utilizes the following irregular cross sections Chan Type 5 Irregular open top with or without piers See Figure 6 5 Chan Type 6 Irregular covered top with or without piers See figure 6 6 14 6 1 3 Definitions amp Restrictions for Irregular Sections An irregular cross section facing upstream is defined by x and y coordinates of points i x y given in a counter clockwise direction from point isl to point
60. aulic analysis model that computes and plots uniform and non uniform steady flow water surface profiles and pressure gradients in open channels or closed conduits with irregular or regular sections The Los Angeles County Department of Public Works LADPW requires use of this model for hydraulic design This program was originally developed by the Design Systems and Standards Group of the Design Division and the Data Processing Section of the Business and Fiscal Division of the Los Angeles County Flood Control District This program was originally written as a mainframe program called F0515P for use by the Los Angeles County Flood Control District or by its Contractors on District projects The program was written in FORTRAN IV compiled using the IBM FORTRAN H compiler executing on an IBM 370 158 using OS VS2 MVS The system required the use of an input media such as a card reader temporary disk storage and a printer It was designed to run in batch mode In the past there have been two implementations of the WSPG a public domain DOS program and a menu driven non graphical Windows interface In April 2009 the LADPW contracted with XP Software to update the WSPG hydraulic engine and embed that engine in a graphical user interface namely the XP Software interface for xpswmm xpstorm Purpose of WSPG The program computes and plots uniform and non uniform steady flow water surface profiles and pressure gradients in open channels or closed condu
61. d be less than or equal to zero This is internal problem see programmer Processing is stopped CRITICAL DEPTH MAY BE INACCURATE IN ELEMENT XXX INCREMENT XX The element number and increment value are printed If the increment is large then critical depth is probably above the top of the channel but is set equal to the channel height If the increment is small critical depth is probably pretty accurate but for some reason it cannot be computed precisely This is a warning and processing continues Q VALUES IN THE JUNCTION ARE INCORRECT FOR DEPSMP Q1 XXX Q2 XXX Q3 XXX Q4 XXX The Q values for both U S and D S ends and for the laterals are printed Q2 should equal the sum of the other Q s If it does not there is an internal error in subroutine ELMCHG see a programmer If these Q values are in error resubmit the input data with the correct Q values Processing is stopped LATERAL ANGLE OF CONFLUENCE IS GREATER THAN 90 DEGREES IN DEPSMP FIRST ANGLE OF CONFLUENCE XXX SECOND ANGLE OF CONFLUENCE XXX The angles of the laterals are printed This is a user error check the values inputted for the angles of the laterals they should be in degrees Processing is stopped INVALID PROCESSING CODE WAS ENCOUNTERED IN XXX PROCESSING CODE X AND IT SHOULD BE 1 OR 2 Function DEPSMP SUMM or SUMP is printed with the processing code The processing code should be 1 for D S processing and 2 for U S processing repres
62. e Name HYDRAULIC ANALYSIS COMPUTER PROGRAM Project FOSIS FORM NO 2 m ej of ov 9 ev a CROSS FALLI In Q LENS PS 2 elc OC iil IJIN O9 amp 9 e eb 9 94 ILL NN 1 r c gr VOC PIERS OF rica IDENT y Poge 3 3 Da Nome LOS ANGELES COUNTY FLOOD CONTROL DISTRICT Project HYDRAULIC ANALYSIS COMPUTER PROGRAM FOSIS FORM NQ A 1 Lolo oO oOoSossesesscosos 8 1 OUTPUT DATA DESCRIPTION 8 1 1 Normal Output a Listing of channel cross section definitions CD card data b Listing irregular channel cross section points PTS data c Listing of element input data d Listing of title data e Listing of computed water surface profile or pressure gradient data f Plotting of the conduit and water surface data g If additional Q s cards are inputed then multiple output will occur for each set of Q s 8 1 2 Optional Output Program F0515P will provide in addition to the above output a listing of all lower stage water surface profile points and all upper stage water surface profile points 1554 wes A KRHA ROTA FFFFEEFFEFFF 5555555585515 FFFFFFEEF E VEI
63. e 7 1 ae I I 1 4 4 Zi x I 2 I 1 Ei I eT P2 T P X Mox FIG 6 5 Irregular open top section FIG 6 6 with or without piers o 0 9 e 3 o 3 0 9a gt o 7 1 Input Data Description This section contains the detailed description of each variable on each input card With the exception of the three title cards all fields are fixed as indicated on the exhibits If data is entered into a field the decimal points must be punched in the card column as shown Input data is placed by the user on Input Forms 1 4 All dimensions are in feet unless otherwise specified on the forms Form 1 lists the title information and starting with the system outlet SO all elements are listed in chronological order upstream to the system headworks SH Form 2 is used to identify and list all data for regular cross sections also to input data on piers for irregular cross sections Form 3 is used to identify and list all irregular cross section data Form 4 is used to list the starting Q at the system headworks Form 4 is also used to list new starting Q s and optional Q factors when multiple water surface profile camputation is desired 18 7 1 1 TITLE CARDS 19 Oc LOS ANGELES COUNTY FLOOD CONTROL DISTRICT Page HYDRAULIC ANALYSIS COMPUTER PROGRAM 515 FORM 1 Project Title
64. e U S and D S profiles print switch 2 to verify this If there is data there is an internal problem if there is no data check the construction of the element Processing continues with the next element NO PLOT GENERATED BAD DATA OR NOT ENOUGH POINTS 3 OR LESS If there are only 3 elements being run no plot will be generated other wise there was a problem in processing one of the elements and there is an internal problem This is a warning message and processing continues ELEMENT NUMBER XXX HAS ADJACENT ELEMENTS WHICH ARE IN ERROR The element number is printed There is an error in the sequence of elements submitted such as bridge exits back to back which are not allowed Check the sequence of the elements correct the error and resubmit the data This is a user error sequence checking will continue but actual processing will be stopped XXX DEPTH COULD NOT BE FOUND IN ELEMENT XXX Either normal or critical depth and element number are printed here is either an error in function DCRIT or DNORM or there is a bad channel description Hand calculate the value and if it is valid for the channel see a programmer The elements will continue to be checked but no actual processing will take place until the error is resolved IRREGULAR XXX VALUES ARE ZERO OR NEGATIVE SET XXX EQUAL TO ZERO XXX XXX PIER XXX XXX IN XXX Either force area or wetted perimeter values are printed from functions FORCEI AREACI or W
65. e X or cunve X M ave m 3 INVA cour conr X conr 3 08 s e Col 1 amp 2 4 12 13 19 20 22 23 25 26 28 29 32 33 40 41 48 49 55 56 62 63 68 60 74 8022121 th Junction Structure JX two laterals AR Se Tab LE ia A bil Be OOH e r e s Ha RR be BARNE Element where side flow enters the main ch 5 6 1 9 T O 181110 from one or ii at 545411 Length may be equal or greater than zero VX STA INV 1 Cross Sect Ident No Ident One Cross Sect No Lat Ident Two Cross No Lat Manning s n Q3 Q4 INV 3 INV 4 3 4 Description Req d identification characters Station at the U S end Invert elevation at the U S end A number assigned on Form No 2 to identify the specific section used at the U S end number assigned on Form No section used for Lateral One 2 to identify the specific A number assigned on Form No section used for Lateral Two 2 lo identify the specific H left blank program uses 014 l low rate in Lateral One l low rate in Lateral Two Invert elevation for Lateral One Invert elevation for Lateral Two Confluence angle of Lateral One with main line 0 1 to 90 de
66. e elevation is greater than the ground elevation The jump routine begins at the system outlet and ends at the headworks It searches the lower stage and the upper stage profiles for points of equal energy If a jump is encountered it will be approximately located and data on either the upper stage or lower stage not consistent with the greater energy theory will be deleted from every element The final profile will be a composite of upper stage and lower stage with hydraulic jumps in between Data Processing Description Data Processing System Description Prior to the XP Software update to the WSPG program the program was written in FORTRAN IV code compiled using the IBM FORTRAN H compiler executing on an IBM 370 158 using OS VS2 MVS This system required the use of an input media such as card reader temporary disk storage and a printer It is designed to run in batch mode The XP Software update intended for use on personal computers used C code includes a graphical user interface and added the Join element allowing branching dendritic networks to be included in a single model Data required to build a stream network model is similar to the DOS version of WSPG Required data is now input through a series of dialogs The entire input is thoroughly scanned for required information and range values of optional information before processing begins If any errors are detected processing will stop Warnings may be issued but they wi
67. el Selection Channel Types Computational Procedures Critical and Normal Depths D Data Input Descriptions Data Processing System Description Definitions amp Restrictions for Irregular Sections Distributed Versions of WSPG E Element Types and Construction Error Messages F Flow Rates Forward I Introduction Introduction to WSPG Irregular Irregular channel editor Irregular Sections J Join Join Structure JO Junction Junction Structure JX L Lateral Branches 31 13 32 14 19 36 37 23 21 49 41 42 20 35 12 33 11 34 Link Element Data Dialog M Manning s N Node Element Data P Pier Elevations Input Pipe Purpose of WSPG R Reach Reach R Rectangular Open Regular Channel Type Sections S Starting Water Surface Elevations System Headworks System Headworks SH System Outlet System Outlet SO T Transition Transition Structure TS Trapezoidal Rectangular Closed Trapezoidal Open V Velocity Head w Wall Entrance Wall Entrance WE Wall Exit Wall Exit WX Warning messages Water Surface Stages WSPG Job Control 23 26 43 40 24 10 38 19 27 28 25 12 39 37 29 15 30 16 45 23 53 WATER SURFACE PRESSURE GRADIENT HYDRAULIC ANALYSIS COMPUTER PROGRAM F0515P USER MANUAL D APRIL 1879 COMPUTER PROGRAM F0515P WSPG Water Surface and Pressure Gradient Hydraulic Analysis System USER MANUAL April 1979 Los Angeles County Flood Control District
68. ement and make sure the channel definition selected has applicable data THE PREVIOUS SECTION OR CHANNEL DEFINITION DID NOT COINCIDE WITH THE DATA UTILIZED IN THIS ELEMENT There is a conflict between the data in the channel defintions of the previous element and the current element being used in the element being described Check the restrictions for the element type and the channel definition data used 72 9 1 2 WARNING MESSAGES IN EDITING THE ELEMENT CARDS 1 THE ABOVE ELEMENT CONTAINED AN INVERT ELEV WHICH WAS NOT GREATER THAN THE PREVIOUS INVERT ELEV Check the inverts on the preceeding and current elements to make sure they are what you want Program assumes data is good and continues 2 WARNING ADJACENT SECTIONS ARE NOT IDENTICAL SEE SECTION NUMBERS AND CHANNEL DEFINITIONS The two adjacent sections are supposed to be identical but if only the channel height varies it is alright Check channel definitions to see if data is correct and only height varies program assumes data is correct and continues 3 WARNING PREVIOUS SECTION NUMBER WAS INVALID 0 SEE PREVIOUS DESCRIPTION Previous element should have been flagged as being bad so the data passed to this element is zeroes Processing for the other elements continues 3 1 3 ERROR MESSAGES IN SEQUENCE CHECKING THRU CHANNEL 1 3 5 6 DEFINITION DATA NO SYSTEM HEADWORKS CARD CANNOT TELL WHERE THE START OF CHANNEL DEFINITION DATA IS NO
69. enting the known end of the element This code is internally set just before the function is called so it is a programming problem Processing is stopped MOMENTUM AND PRESSURE CURVES DID NOT CROSS IN DEPSMP SETTING DEPTH EQUAL TO UPPER LIMIT DEPTH PLUS ONE FOOT DEPTH XXX The depth is printed The intersection of the pressure and momentum curves was above the maximum open flow depth For a closed channel pressure flow calculations will be executed otherwise processing will stop because depth is too high in an open channel This isa warning message 86 9 1 8 DEBUG MESSAGE NO COMPUTATION IN A BREAK IN WATER SURFACE PROFILE STATION XXX XXXX The station subroutine and paragraph number are printed This is a notification message which identifies whether there was any computation for the U S or D S end of an element Other messages printed in debug trace have the subroutine or function and paragraph number printed 87 10 1 SYSTEM RECOVERY PROCEDURE any job fails to process to a normal end for any reason please contact the Data Processing Section and bring all pertinent information with you to aid in solving the problem 88 11 1 PROGRAM LIMITATIONS 1 2 3 4 5 6 8 9 2 28 81 maximum of 200 elements are allowed per run maximum of 50 intermediate points can be computed in a reach element Critical depth cannot exceed 100 feet Program will not compute the
70. er the U S or D S file This is an internal problem and should not happen Check U S and D S reach processing to see if they are valid print switch 2 See programmer Processing is stopped NO INTERSECTION OF FORCE CURVES COULD BE FOUND FOR THE HYDRAULIC JUMP IN JUMPR A hydraulic jump was indicated but there was insufficient data on the U S and D S files to locate the point of intersection This is an internal problem and should not occur Check U S and D S reach processing to see if they are valid print switch 2 See programmer Processing is stopped THE FORCE AT THE HYDRAULIC JUMP IS NOT BETWEEN THE FORCES FROM THE UPPER AND LOWER LIMIT DEPTHS UPPER LIMIT DEPTH XXX LOWER LIMIT DEPTH XXX UPPER LIMIT FORCE XXX LOWER LIMIT FORCE XXX FORCE AT JUMP XXX IN PPMDEP The upper and lower limit depths depth from either side of indicated nydraulic jump the upper and lower limit forces and the force at the hydraulic jump are written The force at the jump should be equal or between the forces on either side of the jump but this was not the case Either the force given for the jump or the points given from the U S or D S file adjacent to the jump are wrong Check the U S and D S files for valid data print switch 2 This is an internal problem See programmer Processing is stopped THE TEST DEPTH EXCEEDED THE UPPER LIMIT DEPTH BEFORE THE FORCE AT THE JUMP WAS REACHED TEST DEPTH XXX UPPER LIMIT DEPTH XXX TEST FORC
71. ere is an internal problem then see the programmer Processing is stopped NO XX RECORDS EXISTED WHERE INDICATED ELEMENT NO XXX IN WRITEN The U S or D S file and the element number are printed The U S or D S processing code indicated the computation for the element was valid but there were no records on that file for the element This is an internal problem with the processing codes See programmer Processing continues with the next element THERE WAS NO JUMP INDICATED WHEN BOTH U S AND D S RECORDS EXISTED FOR ELEMENT XXX IN WRITEN The element number is printed There was a problem in the jump processing for this element Either one of the profiles should be deleted or a hydraulic jump should be indicated This is an internal problem see programmer Processing continues with the next element A JUMP WAS INDICATED BUT THERE WERE NOT RECORDS ON BOTH THE U S AND D S PROFILES FOR ELEMENT XXX IN WRITEN The element number is printed There was a problem in the jump processing for this element If the entire U S or D S profile is deleted then there cannot be a jump and if there is a jump there must U S and D S profile data This is an internal problem See programmer Processing continues with the next element 83 23 24 THERE WERE RECORDS FOR ELEMENT XXX IN WRITEN The element number is printed This is a warning message to indicate there was no U S or D S processing for this element Check th
72. erminus of a channel Element X 1 can be any element except a system outlet Note the element length is zero 5 1 4 Reach R Refer to Figure 5 4 The reach element is a length of channel drain or natural river with a constant invert slope Q cross section and Manning s n A reach may have a straight or curving horizontal alignment however a curved reach must coincide with the beginning and end cf the curve The same applies to an angle point in the horizontal alignment a reach must end or begin at the angle point In open channels regular rectangular or trapezoidal sections the superelevation of the watersurface is computed and printed for each point in the curve In pressure flow bend losses angle point losses and manhole losses are computed and added to the friction loss for the reach Element 1 can be any element except a system outlet Element 1 can be any element except a system headworks 5 1 5 Junction Structure JX Refer to Figure 5 5 The junction structure element is used where there is lateral inflow into the system Two different laterals can be handled by this element Element X 1 can be any other element except a System Headworks SH Element 1 can be any other element except a System Outlet SO 5 1 6 Transition Structure TS Refer to Figure 5 6 A transition structure is a gradual expansion or contraction from Section 1 to section 2 The length may be any positive number Element 1 may
73. ese may or may not affect the overall solution to the problem however processing continues If gross errors are encountered an error message will be issued and processing will stop Computational Procedures Input Preparation The channel or conduit system is initially subdivided into the following elements system outlet reach transition confluence junction bridge exit bridge entrance wall entrance Sudden contraction wall exit sudden expansion and system headworks Each element is internally assigned a number Additional intermediate points between elements are internally set by the program Stationing is entered by the user only at the System Outlet S O the program uses the length of element to calculate the stationing The entire input is thoroughly scanned for required information and range values of optional information before processing begins If any errors are detected processing will stop Warnings may be issued but the program will not be prevented The input data must consist of a minimum of three elements system outlet system headwork and other element The original WSPG program was limited to a maximum of 200 elements With the XP Software update to WSPG that limitation was removed Flow Rates The starting flow rate Q at the upstream terminus of a system is specified on a Q card The flow rate Q is increased at the desired locations by specifying lateral inflow rates on the JX cards
74. essure flow C2 HV2 AL Sfav Hm D1 AL So where Hm is miscel losses e Angle Point Loss Hapt 0 0033 HV Where is deflection angle in degrees The District recommends not to exceed 6 f Bend Loss HB 0 2 HV 90 where is central angle of bend in degrees 99 g h i j k Manhole Loss Hmh 0 05 HV No MN where No MH is number of manholes in a reach Spec ific Energy E D tHV Pressure Momentum LATET AUCI P2 M2 P1 M1 F where M Q gt Ag Critical Depth Dc Dc is the depth of flow at minimun energy to find Dc by parabolic method see References 12 6 4 otherwise iterate for Dc in the specific energy equat Ec f Dc De Normal Depth Dn Dn is the depth of uniform flow and is found by iteration from Manning s formula 2 A RH f Q n 1 486 50 100 12 4 2 ANALYSIS Open Flow Intermediate points are computed on the W S profile in a reacn using the standard step method The difference in velocity head between two adjacent points is held to a maximum of ten per cent AL E2 El So Sfav b Pressure Flow EGL 1 EGL 2 Hf Hm D1 EGL 1 HV1 INV 1 If W S profile rises to the soffit of a conduit before the end of the reach or if the H G L breaks seal before the end of the reach minor losses are adjusted to reflect only the portion of the reach under pressure Super Ele
75. f piers 31 1 80 Y PRI from the elevation of the bottom of the pier above the i l to i 10 x axis max Y PR 99 99 All piers are assumed to have equal top elevation Vor an irregular section with piers the X and Y axis mist be the same for cross section and pier coordinates legend XXX XX required data YYY YY optional data 10 7 1 4 PIS CARD X amp Y COORDINATES 35 LOS ANGELES COUNTY FLOOD CONTROL DISTRICT HYDRAULIC ANALYSIS COMPUTER PROGRAM FO5I FORM 3 Page Name Irregular Channel Cross Section Points X Y Card PFS he PPS card is used in con junction with the CD card to define irregular channel cross sections Chan Ho 5 or No 6 Card Col Variable Description l amp 3 PTS Required card identification characters 4 6 Cross Sect The number assigned on the CD card Ident No 7 8 No of Points Specifies the number of points i X Y in a cross section 9 6B Pt i X Y Ihe X and Y coordinates of the points in a cross section x i Y i entered in consecutive order fran left to right minimum 3 pts and maxima of 99 pts Pegend XXX XX Required Data YYY YY Optional Data If more than one line card is required to define a cross section the Ident No and the No of pts are entered on the first line card 514 7 1 5 Q CARDS 37 Puge Of Date LOS ANGELES COUNTY FLOOD CONTROL DISTRICT HYDRAULIC ANALYSIS COMPUTER PROGRAM F0515 FORM
76. gular 33 CD Cards Irregular 34 7 1 4 PTS Card x and y Coordinates 35 PTS Card 36 Table of Contents Continued SECTION PAGE 7 1 5 0 Cards 38 7 1 6 Control Cards N sFs rc 40 7 2 Sample Input 41 8 Output Data Description 50 8 1 1 Normal Output 50 8 1 2 Optional Output 50 8 1 3 Sample Output 51 70 9 Error Messages 9 1 1 Error Messages in Editing the Element Cards 71 9 1 2 Warning Messages in Editing the Element Cards 73 9 1 3 Error Messages in Sequence Checking thru Channel Definition Data 74 9 1 4 Error Messages in Sequence Checking Cross Section Points Cards 76 9 1 5 Error Messages in Channel Definition Processing 78 9 1 6 Error Messages in Cross Section Point Processing 79 9 1 7 Computation Error and Warning Messages 80 9 1 8 Debug Message 87 i0 System Recovery Procedure 88 il Limitations 89 i2 Appendix 90 1 1 Introduction NJ H This program is a hydraulic analysis system developed by the Design Systems and Standards Group of the Design Division and the Data Processing Section of the Business and Fiscal Division of the Los Angeles County Flood Control District Purpose The program computes and plots uniform and nonuniform steady flow water surface profiles and pressure gradients in open channels or closed conduits with irregular or regular sections The flow in a system may alternate between
77. h 0 Manning 0 Lateral branches Edit Main upstream Results Result The Join Element is an extension of the Junction Element The Join introduces a branch of the main stream Rather than simply adding in flows from a branch the system can be included in a single model The branch system is defined similar to the main stream with the exception that the downstream most element is a Join rather than a System Outlet The branch network must have at least one Reach and a System Headworks Joins can be adjacent to more than two link elements For each Join the mainstream line must be defined The program computes the main streamline first and then the branch The program uses the water depth in the main streamline from the composite profile as an initial water surface elevation in branch network Channel Selection 36 Data Input Descriptions WSPG Channel Group Channel 1 Channel 2 Channel 3 gt Channel 4 Clear Delete Duplicate Add The Channel Select dialog is used to select channel types to add to the network The channel name is entered at the bottom the Add button moves the channel name to the above list The Edit button opens the WSPG Channel Type editor Channels in the list may be used more than once or not used at all The Select button returns the program to the Element Data dialog where the channel name is displayed as the Channel Group Chan
78. he reach is printed The solution to solving the quadratic formula was negative the length of reach in pressure flow There is no soiution for this problem it should not occur if it does this element must be hand calculated and the other elements can be run with the hand calculated control depths Processing is stopped 80 3 10 11 OTLTJP HAS ERRONEOUS PROCESSING CODES U S CODE x D S CODE x D XXX DC The U S and D S processing codes depth and critical depth are written There must be at least U S processing in the outlet This is an internal program error because the processing codes for the outlet are improperly set See programmer Processing is stopped A STATION ON THE U S OR D S FILE IS PAST THE END OF THE REACH IN RCHJP STATION FROM FILE XXX REACH STATION XXX The station from the U S or D S file and the station at the U S or D S end of the reach are printed The station on the file is not between the U S and D S ends of the reach This is an internal problem a station computed in U S or D S processing is in error or the value for the number of U S or D S records written is in error See programmer Processing is stopped THE KNOWN DEPTH EQUALED THE NORMAL DEPTH IN BERNLI DEPTH XXX The known depth is printed This is a warning message that normal depth has already been reached The depth at the end of the reach is set equal to normal depth Processing continues THE UPPER A
79. i n minimum 3 points and maximum 99 points Point 1 x is where x 1 x min and if x 2 is also x minimum then y 1 is greater than y 2 LIMITATIONS Location of x and y axis The center of the reference axis 0 must not fall on the perimeter of the cross section Flow Line A section can have only one low flow channel Section Shape A section is allowed one minimum and maximum in the x and y directions For example between points from x minimum to x maximum the consecutive values of x must be equal or greater From x maximum to x minimum the consecutive values of x must be equal or smaller The same holds in the y direction Piers The reference x y axis for piers rust be the same as used for the cross section The y values are given from left to right 15 REGULAR CHANNELS FIG 6 1 Tropezoidol section with or without piers FIG 6 2 Rectangular section with or without piers l sc p gt lbp 1 1 inv cross DT 1 bae gt gt C FIG 6 3 Box culvert covered trap or rectangular section with or without piers FIG 6 4 Circular section pipe one cell only 9 28 81 4 eS IRREGULAR CHANNELS E a re i 8 m HG ce 4 ss 4 XOW A I I K ee
80. input data THE ABOVE INPUT CARD CONTAINED AN INVALID INVERT DURING EDIT PHASE XXX ERRORS WERE ENCOUNTERED PROCESSING WILL NOT START The number of errors in the edit phase is printed The calculations will not begin until all edit errors have been corrected NO EDIT ERRORS ENCOUNTERED COMPUTATION IS NOW BEGINNING This message indicates that all of the input data was correct and processing calculations will begin BLANK INVERT WAS GIVEN ON AN ELEMENT CARD The above card was required to have an invert but none was given check and correct input data 71 9 10 11 13 INVALID SECTION NUMBER ELEMENT CARD The section number given for this element is not between 1 and 200 Correct input with correct channel number reference SECTION NUMBER NO DATA FOR CHANNEL DEFINITION The section number on the element card refers to a section that was not defined or that was labeled as being in error in editing the channel definition cards Check the channel number and the results from the channel definition editing SECTION NUMBER HAD NO DATA FOR CROSS SECTION Same as Message No 10 only for cross section data instead of channel definition data THE CHANNEL DEFINITION REFERENCED DID NOT CONTAIN THE REQUIRED DATA TO BE USED IN THIS ELEMENT There is a conflict between the data in the channel definition used to describe this element and the type of element being described Check the restrictions for this el
81. int of W S and the left bank If Y D Z Ymax then Ymax and X iBEG is least X for Ymax 1f Y D lt Ymax then Y iBEG Y D X iBEG X it1 AY it 1 Y D YG where Y i and Y i 1 are the domain of Y D from Y 1 to Ymin 93 Point iEND X Y Contact Point of W S and the right bank If Y D gt Ymax then Y iEND Ymax and X iEND is the maximum X with Ymax If 0 lt Ymax then Y iEND Y D X END AXG 1 1 1 X i where Y i 1 and Y i are the domain of Y D from Ymin to Yin Let Point 1 X Y Point iBEG X Y where X 1 Y 1 X iBEG Y iBEG Let Point n X Y Point iEND X Y where X n X iEND Y n Y iEND Also Point 1 X Y Point 1 X Y X 1 Y 1 where X n 1 Y n 1 94 12 3 1 AREA The Area A of flow is a function of the depth of flow and the geometry of the channel or conduit section gt CHAN TYPE 1 A D bnet 0 5 D ZL ZR 2 CHAN TYPE 2 D bnet bnet 24 3 CHAN TYPE 3 D is less than Chan height H see Process l Otherwise A H bnet 0 5 21428 0 25 1 NOP 4 CHAN TYPE 4 If D is equal or greater than Diameter A rr otherwise D R V2RD 7r R 180 Arcsin D R R 7 R Z2 5 CHAN TYPE 5 tany A 9 AXO Y 0 Y i 0 5141 AY 2 bp IY D Y P lt 2 Pe 6 CHAN TYPE
82. its with irregular or regular sections The flow in a system may alternate between super critical subcritical or pressure flow in any sequence The program will also analyze natural river channels although the principle use of the program is intended for determining profiles in improved flood control systems The collaborative effort between XP Software and the LADPW has resulted in WSPG being available in three forms Distributed Versions of WSPG wspge0l0 Updated code and addition of the JOIN element including a simple graphical interface This version is provided free of charge by XP Software and is available for download from www xpsoftware com xpwspgeQ0l0 A standalone product that includes XP Software s powerful geospatial working environment with WSPG hydraulic calculations profile views export to CAD extract network data from Digital Terrain Models easy data entry with xptables and much more This product also provides access to the Modified Rational method MODRAT and an automated facility to obtain hydrologic peak flows for upstream headworks nodes for simulation in the WSPG hydraulic calculations xpwspge0I0 is available for purchase through XP Software xpwspg add on module An add on module for existing xpswmm and xpstorm users The add on module adds the WSPG hydraulic calculations to the comprehensive XP packages The add on module couples the LADPW hydrologic methods with the many existing features such as the dynamic St Venant
83. ll not prevent processing Processing consists of three phases Analysis of the system in the downstream direction Phase analysis of the system in the upstream direction Phase Il and analysis of the downstream profile from Phase and the upstream profile from Phase to obtain a composite profile Phase 111 The processing was designed to continue calculating unless gross errors are encountered Warning messages may be issued concerning tolerance levels not being reached on an iterative approximation These may or may not affect the overall solution to the problem however processing continues If gross errors are encountered an error message will be issued and processing will stop Output of the system consists of an output file that can be viewed from within the program or externally using a text editor Element Description Element Types and Construction The channel conduit or natural river system to be analyzed is subdivided into elements The XP Software version of WSPG represents a change in the order and manner in which a model is constructed The geographical interface maintains geographical orientation x y of elements To maintain flow direction the drainage network is digitized from upstream to downstream The element types are Boundary Lines System Outlet System Headworks Reach Junction Structure Join Structure Transition Structure Bridge Entrance Bridge Exit Wall Entrance Wall Exit Boundary Line
84. m section is retrieved from the downstream element Node Element Data 26 Data Input Descriptions Element Data Element type ed Node Element data is used to specify the type of node from pull down list and allows the user to input data associated with that node Data input requirements vary based on the node selected For reference a quick view of the results for the selected element is displayed in the Element Data dialog after the WSPG model has been solved The arrows progress the selection either upstream or downstream in the stream network Station data can only be input at the System Outlet node The program will automatically calculate stations for the remainder of the system based on the length of each subsequent element System Headworks 27 WSPG Documentation Element Data Element type System Headworks w 0 0 Results Resut Depth 098 Few z The System Headworks is always at the uppermost upstream element of a stream or branch network The headwork represents the stream s inflow boundary condition The flow rate is input as cubic feet per second cfs System headwork water surface elevation is in feet The previous element s elevation and channel type must be used System Outlet 28 Data Input Descriptions Element Data Element type System Outlet Results Depth
85. mber assigned on Worm No 2 to identify the specific Ident No section used at the U S end 20 32 fp reduction factor for area of pier if left blank program uses 1 0 Legend Req d data YYY YY Optional data 18 LOS ANGELES COUNTY FLOOD CONTROL DISTRICT Page HYDRAULIC ANALYSIS COMPUTER PROGRAM Nome FOSIS FORM NO I Project en o efr jo 9 4 1 2 3 45 61 2 6 41 Ai 115 45 7 IT Je 3 Loss sect ma a Tu RADIUS OF X Pont R sf erf s Ol Dale INV 1 INV 2 SECT 1 may be channel type No 1 2 3 5 or 6 and must have a minimum of one pier below the W S No piers 1 to 10 SECT 2 may be channel type No 1 2 3 5 or 6 and must not have piers Sect 1 and Sect 2 must be identical except for the piers or covers Card Col Variable Description n v 1 amp 2 BX Req d card identification characters 4 12 STA 1 Station at the U S end If STA 1 is left blank it will be set equal to the station at the U S end of the previous element 13 19 INV 1 Invert clevation at the U S end If INV 1 is left blank it will be set equal to the invert at the U S end of ihe previous element 20 22 Cross Sect A number assigned on Form No 2 to identify the specifie Ident No section used at the U S end Legend Req d Data YYYY Optional data LOS ANGELES COUNTY FLOOD CONTROL D
86. ment A bridge exit is an element used where flow exits from an element with piers into an element without piers Element X 1 may be a SO R JX JO or TS Element X 1 may be a SH R JX JO or TS It is noted that neither Section 1 nor 2 can be a pipe 14 Element Description BRIDGE EXIT ELEVATION PLAN FIG 5 8 Dialog Box Bridge Exit Wall Entrance WE This element is used when there is a sudden change in the conduit section such as a headwall or an abrupt contraction This element is considered to have a zero length The user should supply the loss coefficient kc expressed in terms of the velocity head The program uses a default value of 0 5 for kc See Hydraulic Handbooks for typical values Element X 1 may be a SO R JX JO or TS Element X 1 may be a SH R JX JO or TX The section for element X 1 cannot have piers however it can be an open channel or closed conduit The section for element X 1 can also be an open channel or closed conduit and it can be with or without piers 15 WSPG Documentation WALL ENTRANCE SUDDEN CONTRACTION ELEVATION Suer COUTTS FACTION I Dialog Box Wall Entrance Wall Exit WX This element is used when there is a sudden expansion from a smaller to a larger channel or conduit section This element is considered to have a zero length Element X 1 may be a SO R JX JO or TS Element X 1 may be a SH R JX JO or TS The section for element X 1 may be an
87. nel Types WSPG channel types are defined as Types 1 6 The channel input provides the basic geometry upon which the hydraulic calculations are based Refer to the April 1979 WSPG User Manual for more information Trapezoidal Open Rectangular Open Trapezoidal Rectangular Closed Pipe Irregular Trapezoidal Open 37 WSPG Documentation WSPG Channel Type Channel type Open Trap Rect Closed Pipe Irregular Channel Number Average of piers width 0 0 of piers 0 0 L Number of Piers is optional however if greater than 0 then a value for the Average width of piers must input If the computed water depth is greater than the input Height value the program will assume vertical walls extend from the ends of the cross section indicating depth has exceeded the channel height If piers are present it is assumed that piers have infinite height Rectangular Open 38 Data Input Descriptions WSPG Channel Channel type Trap Open Rect Open Trap Rect Closed Pipe Irregular Channel Number of piers Invert 0 cross fall width of piers 0 0 Ji Base width Number of Piers is optional however if greater than 0 then a value for the Average width of piers must be input If the computed water depth is greater than
88. nooonoonan 5555555555955 FF on anno 545 00 nn on 55 FF no nn 00 55 00 00 00 559055556 11 00 00 00 5555555555 11 nn 00 55 1 0000 nn 55 11 000 nn 55 11 FF 00n0000000n 5555554555566 1111111111 00000000 555555586545 1111111111 9999994999 444 11 AEE 9999990999999 4444 111 A4 aq 99 44 4h 1111 99 99 44 hh 1 99 99 4b 4 11 JJ 999999999999 44444446464 11 499999999999 4644640444464 11 n 99 44 1 qo 46 11 au 99 4 11 Jd d 99999909999999 44 31111111114 JEU 9999999999 h 11111117111 JON BRING ROOM 2 09 13 FND JIOR 94 FAS 5 BING AINA 2 09 13 Fnsl5pD RING ROOM ALTON 2 09 13 FND JOB FNP n dns RHOM 2 09 13 FND Jn 9 WENA AOR 2 09 13 FND JOR 94 AAS Pop RING 2 09 13 555555555554 11 555555555555 pppppppppppp 11 55 Pp pp 55 pp pp 55 Pp pp 5555554545 PPPPPPPPPPPP 5555555555 PPPPPPPPPPP 55 ho pp 555555555555 55555555555 AAAAAAAAAA AAAAAAAAAAAA AA AA AA AA AA AAAAAAAAAAAA AAAAAAAAAAAA AA AA AA AA AA AA AA AA AA PM Dh MAR 79 HA PR SYS 40H PM OB MAR 79 HA PIT SYS Tol PM MAR PRY SYS ISSR PM OR MAR 79 pu SYS 558 Hn PM DR MAR 70 SYS 1558 IH Ph OR MAR 9 SYS 255
89. or a complete description of the irregular channel editor Pier Elevations Input Piers elevation Average width of Piers The reference x y axis for piers must be the same as those used for the cross section The y values are given from left to right 43 WSPG Documentation 44 Warning Messages Warning mes WARNING 01 WARNING 02 WARNING 03 WARNING 04 to the outlet WARNING 05 WARNING 06 WARNING 07 WARNING 08 WARNING 09 WARNING 10 WARNING 11 WARNING 12 WARNING 13 WARNING 14 WARNING 15 WARNING 16 WARNING 17 WARNING 18 WARNING 19 WARNING 20 WARNING 21 WARNING 22 sages Insufficient lateral characterization for junction join x Maximum number ol laterals for junction join x reached Rest of data will be discarded No branches given Join x will be treated as a transition Not all elements are connected to the outlet Computation will only be performed on objects connected Too many parameters given for channel section x Excessive parameters will be ignored Upstream channel and downstream channel are the same for transition x Use a reach instead Node x has negative invert elevation Number of manholes given for non closed link x Pier factor for bridge entrance x not in valid range Pier factor set to 1 0 Wall factor for wall entrance x not in valid range Wall factor set to 0 5 Element x
90. or cunve X Point AT 078 LATA t Me INV INV 4 f X conr X conr 2 ii 50 5 11 2 Hil liii 9 FRPR n hn i 1 Hi felsjslslelr oo l2 s 24 WALI EXIT or sudden expansion WX is an element of a zero length eit 2 ORERE STA STA 2 INV 1 INV 2 SECT 1 may have piers max 10 SECT 2 must not have piers Card Col Variable Description 1 amp 2 WX Required card identification characters 4 12 STA 1 Station at the u s end 1f STA is left blank it will be set equal to STA 1 at the u s end of the ptevious element 13 19 INV 1 Invert elevation at the u s end If INV is left blank it will be set equal to the invert elevation at the u s end of the previous element 20 22 Cross A number assigned on Form No 2 to identify a specific section Ident No used at the u s end legend XXX Required Data YYY YY Optional Data XM LUD ANGELES COUNIY EFLOUD CONTROL DISTRICT Poge HYDRAULIC ANALYSIS COMPUTER PROGRAM Name 5 5 wile 9 E TEM HEADWORKS SH Sectic Card Col amp 22 55 Variable SH STA 1 INV Cross Sect dent No W S Elev at SH Dale M uude c ee Ee 2 22 Project FORM NO 1 elel
91. or open flow of element x not in recommended range 0 01 0 06 WARNING 50 Upstream processing Water depth exceeds maximum open channel width for element x Vertical walls used for processing WARNING 51 Unknown keyword x encountered in REPORT section Program will run with default option WARNING 52 Point given for regular channel x Point will be discarded and program runs with regular channel data WARNING 53 Headwork x has a higher elevation than its direct downstream node 47 Error Messages Error Messages Error messages 10 24 50 and 53 are currently not used ERROR 1 ERROR 2 ERROR 3 ERROR 4 ERROR 5 ERROR 6 ERROR 7 ERROR 8 ERROR 9 Memory allocation error in WSPG engine Given channel for object x does not exist Element x seems to end a streamline but is not a headwork Node x is a headwork and has an upstream node Node x is the system outlet and has a downstream node Second system outlet x given Only one system outlet allowed Object x has more than one downstream element Trying to connect the same element x to a join twice Object x has more than one upstream element ERROR 10 Please use ascending order 1 2 3 for channel numbers This identifier is invalid x ERROR 11 Piers defined for channel x but average pier width data is missing ERROR 12 Point set x requested in channel section not found ERROR 13 Invalid number
92. oss section facing upstream is defined by x and y coordinates of points x y given in a counter clockwise direction from point i 1 to point i n minimum 3 points 21 WSPG Documentation Point i 1 x y is where 1 x min and if x 2 is also x minimum then y 1 is greater than y 2 Limitations Flow Line Section Shape Piers Location of X and Y axis 22 Data Input Descriptions Data Input Descriptions The user creates link type elements reaches transitions junctions and joins Once the link is created starting at the upstream end of the stream nodes are automatically inserted at each end of a link These nodes are set to default to dummy nodes A dummy node has no effect on the computations The user can then assign a node type to these nodes or leave as a dummy node Each node type element has one incoming link and one outgoing link with exception of the System Outlet System Headwork and a Join All units are US Customary WSPG Job Control WSPG Job Control Results only composite profile composite profile US processing 0 5 processing report intermediate points Title allows 3 lines of file description and title information The Results radio button indicates the output data presented in the output file created by solving the model Reporting of intermediate points in the output file can be toggled on or off Link Element Data Dialog 23 WSPG Documenta
93. plot of watersurface and channel geometry 5 1 Element Description The channel conduit or natural river system to be analyzed is subdivided into elements as stated in Section 3 3 1 The Program internally numbers the elements beginning with the System Outlet SO as number 1 Each successive element is numbered continuing upstream to the System Headworks SH The maximum number of elements permissable by the program is 200 5 1 1 Boundary Lines Refer to Figure 5 1 All elements are bounded on the upstream end by Section l and the downstream end by Section 2 except System Outlet SO and System Headworks SH which only have Section l The user inputs data such as base width conduit height etc for Section l of every element The data for Section 2 for every element is taken by the program from the upstream Section l of the adjacent downstream element Elements may have considerable length between Section l and Section 2 as in a reach element or may have a zero length as in a bridge entrance element L length of element X number of the element under consideration X l adjacent upstream element 1 adjacent downstream element 5 1 2 System Outlet SO Refer to Figure 5 2 The system outlet is the downstream terminus of a channel X is equal to one 1 can be any element except System Headworks SH Note the element length is zero 5 1 3 System Headworks SH Refer to Figure 5 3 The system headworks is the upstream t
94. pths Critical depth is computed for every section for the given Q utilizing the Specific Energy Equation Normal depth is computed in every reach element on a positive slope for the specified Q The velocity head Hy is computed using the mean velocity of the section This may not be accurate in the case of a complex section such as one with shallow flow in the horizontal overbank area where velocity distribution is not uniform If the program is to be used in this situation the user should be aware that same error may be introduced in the results check on the magnitude of the error can be made by the user utilizing the parabolic method to determine specific energy see Appendix 3 3 7 Watersurface Stages The lower stage w s profile begins at the system headworks and ends at the system outlet The computation will proceed downstream in every consecutive element as long as energy is available to maintain flow in the supercritical stage When energy becomes expended at any point in an element the lower stage profile will be discontinued from that point to the downstream end of that element Then computation will resume in the next element with a critical depth control until the system outlet is analyzed The upper stage W S profile begins at the system outlet and ends at the headworks Computation proceeds upstream in every element as long as the water surface at the downstream end of any two adjacent points can support
95. riction slope to 0 0 WARNING 31 Not used WARNING 32 Warning Known depth equaled normal depth in Bernoulli computation for reach x WARNING 33 Upper and lower limits in Bernoulli computation are the same WARNING 34 The target value in the Bernoulli computation is not between the bounds WARNING 35 Not used WARNING 36 D S processing stopped in junction x because critical momentum is greater than maximum momentum WARNING 36 Not used WARNING 37 Not used WARNING 38 U S processing stopped in junction x because the downstream momentum is less than maximum momentum WARNING 39 Internal error during U S processing of transition x Pressure detected but computed depth is less than maximum flow depth Processing proceeds with less than pressure flow depth WARNING 40 Not used WARNING 41 Steep reach in U S processing detected in which water depth would drop below critical depth U S processing stopped WARNING 42 Not used WARNING 43 Not used 46 Warning Messages WARNING 44 Jump location in reach x cannot be computed WARNING 45 One of the elevations of junction s x laterals is less than the U S elevation WARNING 46 Channel of junction x defined by an irregular point set WARNING 47 Junction x has a different channel than its direct downstream element WARNING 48 Manning s n for pipe flow of element x not in recommended range 0 010 0 015 WARNING 49 Manning s n f
96. s All elements are bounded on the upstream end by Section 1 and the downstream end by Section 2 except System Outlet SO and System Headworks SH which only have Section 1 The user inputs data such as base width conduit height etc for Section 1 of every element The data for Section 2 for every element is taken by the program from the upstream Section 1 of the adjacent downstream element Elements may have considerable length between Section 1 and Section 2 as in a reach element or may have a zero length as in a bridge entrance element L length of element X number of the element under consideration X 1 adjacent upstream element X 1 adjacent downstream element WSPG Documentation ELEMENT BOUNDARY LINES 796 of wall or E M System Outlet SO The system outlet is the downstream terminus of a channel X is equal to one 1 can be any element except a System Headworks SH Element Description SYSTEM OUTLET on HGL WS a I M Si 1 J eee ee OE a S Ue G M Dialog Box System Outlet System Headworks SH The system headworks is the upstream terminus of a channel Element X 1 can be any element except a system outlet WSPG Documentation SYSTEM HEADWORKS ELEVATION FIG 5 3 Dialog Box System Headworks Reach R The reach element is a length of channel drain or natural river with a constant invert slope
97. s SH Element X 1 can be any other element except a System Outlet SO 1 1 I qw o e ELEVATION JUNCTION S de Bex S FIG 5 5 sect 3 K Lateral ore PLAN Dialog Box Join Transition Structure TS A transition structure is a gradual expansion or contraction from Section 1 to Section 2 The length L may be any positive number Element X 1 may be any element except a system outlet SO Element X 1 may be any element except a system headworks SH 12 Element Description TRANSITION Nj T V i 5 JUL ee Se DIT 5 4 uu FIG 5 6 ELEVATION PLAN Dialog Box Transition Bridge Entrance BE A bridge entrance is an element used where flow enters from an element without piers into an element with piers A bridge entrance is considered to have a zero length element even though the bridge pier nose may have a minor length The user should supply the pier area reduction factor Value must be between 0 and 1 The program uses a default value of 1 0 See Hydraulic Handbooks for typical values Element X 1 may be a SO R JX JO or TS Element X 1 may be an R JX JO TS or SH It is noted that neither Section 1 nor 2 can be a pipe 13 WSPG Documentation BRIDGE ENTRANCE ELEVATION Dialog Box Bridge Entrance Bridge Exit BX The bridge exit is also considered to have a zero length ele
98. struction in wall entrance x detected Abnormal stop of computation Abnormal stop during U S processing of element x Water elevation too high for maximum channel 51 WSPG Documentation ERROR 71 processing ERROR 72 ERROR 73 ERROR 74 ERROR 75 ERROR 76 ERROR 77 ERROR 78 found ERROR 79 ERROR 80 ERROR 81 ERROR 82 ERROR 83 52 Couldn t solve quadratic equation when determining end of pressure flow in reach x during U S Abnormal stop during U S processing of reach water depth is too high for reach with non positive slope There was neither a D S processing nor an U S processing for element x Reading the old WSPG data file format failed Junction Join x has a lateral with invalid internal channel number Junction Join x has a lateral whose invert elevation is less than the D S invert elevation There were errors when validating the input data Please correct the above errors first Error when validating x A valid channel description for the direct downstream element could not be Cannot open error log file No system outlet detected Channel x not found Channel ID x defined multiple times Error in computation Pier width exceeds top flow width for channel x Wetted area set to 0 0 Index B Basic Theory Boundary Lines Bridge Entrance Bridge Entrance BE Bridge Exit Bridge Exit BX Channel Section Description Chann
99. super critical subcritical or pressure flow in any sequence The program will also analyze natural river channels although the principle use of the program is intended for determining profiles in improved flood control systems General Program Description 3 2 Basic Theory The camputational procedure is based on Solving Bernoulli s equation for the total energy at each section and Manning s formula for friction loss between the sections in a reach The open channel flow procedure utilizes the standard step method Confluences and bridge piers are analyzed using pressure and momemtum theory The program uses basic mathematical and hydraulic principles to calculate all such data as cross sectional area wetted perimeter normal depth critical depth pressure and momentun 3 3 Computational Procedure 3 3 1 Input Preparation The channel or conduit system is initially subdivided into the following elements system outlet reach transition confluence junction bridge exit bridge entrance wall entrance sudden contraction wall exit sudden expansion and system headworks Each element is internally assigned a number The input data must consist of a minimum of three elements system outlet System headwork and any other element and is limited to a maximum of 200 elements A greater number of elements will require a breakup into two or more systems 3 3 2 Flow Rates The starting flow rate Q at the upstream terminus of a sys
100. t 20181 nis n Seclion at the D S end of the system Description Card identification characters A reference station from which the U S end of all elements are measured Invert elev at the system outlet A number assigned on Form No used at the U S end of this element 2 lo identify specific section The W S HWGL elevation control at the SO 0 0 unless given otherwise If the W S clev control is less than Inv t 1 DC the programi will set the control elevation equal to Inv 1 1 DC Legend NN Req d Data YYY Y Y Optional Data S LUG ANGELES COUNTY FLOOD CONTROL DISTRICT Pago OL Date HYDRAULIC ANALYSIS COMPUTER PROGRAM 9 F0515 FORM NO 1 Project ZNOSI SECT 3 8 FLEV AT RADIUS OF FROM TONM NO 2 8Q AND OR 8 CURVE I Reach Chan Type 1 2 or 5 Card Col Variable Description 1 or 2 h C ard identification character 4 12 Sta Slation at the U S end 13 19 Inv 1 Invert clevalion at the U S end of this Clement to ol Pr Aes ihe 20 22 Cross Sect nunber assigned on Worm No 2 to ideutify the specific Ident No Section used at the U S end of this clement 29 32 Manning s n H left blank program uses 014 56 62 Radius of curve Radius of curvature necessary to comple super elev Beginning and end of curve must coincide with beginning and end of reach Legend
101. tatic Pressure Flow rate Radius of pipe Hydraulic radius Radius of curve on horizontal alignment Friction slope energy loss per foot Critical slope slope at critical depth Invert slope Super elevation Station Velocity Wetted perimeter Water Surface or Hydraulic Grade Line Elevation Left side slope Right side slope 91 These variables may have one of two suffixes 1 Identifies the variable at the upstream end of an element 2 Identifies the variable at the downstream end of an element Example V1 is velocity at the upstream end V2 is velocity at the downstream end Throughout this program U S is the upstream end D S is the downstream end 92 12 2 IRREGULAR SECTION DEFINITIONS Points i X Y from i 1 to i n in counter clockwise direction 3 lt lt 99 define an irregular cross section X coordinate of point i Y i Y coordinate of point i Y p S 4 coordinate base of pier from P 1 to P n given from left to right 05 gt 10 Xi X i 1 AY i Yi 1 Ymin The least Y i i Y i Ymin subtract Ymin from every Y i on file Y P Y P Ymin subtract Ymin from every Y P on file Ymax Maximum open flow depth in a cross section All points whose 1 gt Ymax will be dropped from file Y D Depth of flow in a section part full or under pressure DH Ymax 10 in an open top section DH Ymax in a covered section Point iBEG X Y Contact Po
102. tem is specified Q card The flow rate Q is increased at the desired locations by specifying lateral inflow rates on the JX cards The flow rate can be reduced by using a negative lateral Q this reduction is intended to account for channel storage If it is used in cases where the channel or conduit branches it should be understcod no loss is computed 3 3 3 Multiple Profiles To obtain additional watersurface or Pressure gradient profiles for different flow rates in the system additional Q cards may be supplied The only limitation on the number of profiles that may be run at one time is the limit on the program execution time which is set by the computer center 3 3 4 Manning s n The program uses the Manning formula for the friction loss in all types of conduits or natural channels The program can only take one n value per element however the n value can change at subsequent elements If a section has a lining composed of different roughness coefficients a composite based on anticipated depth of flow should be hand computed If value is not specified with the input data the program uses value of 014 3 3 5 Water Surface Controls Water surface controls at the downstream terminus System Outlet 5 0 or the upstream terminus System Headworks S H are optional input values If water surface controls are not given the program will use critical depth controls 3 3 6 Critical and Normal De
103. the moving mass of water to flow at the critical or subcritical depth Otherwise computation will be discontinued from the downstream point to the upstream end of that element Then computation will resume at the downstream end of the next element with critical depth control provided no depth less than critical depth has been computed at that point on the lower stage profile Then computation will proceed until the system headworks is analyzed Note that if the computed depth of flow in any open section exceeds the given section height the program will assume an additional 10 feet of vertical wall except for Channel Type 1 see Figure 6 1 where the side slopes are extended outward until the 10 feet vertical height is reached The jump routine begins at the system outlet and ends at the headworks It searches the lower stage and the upper stage profiles for points of equal energy If a jump is encountered it will be approximately located and data on either the upper stage or lower stage not consistent with the greater energy theory will be deleted from every element The final profile will be a composite of upper stage and lower stage with hydraulic jumps in between 4 1 Data Processing System Description All programs are written in FORTAN IV compiled using the IBM FORTRAN H compiler executing an IBM 370 158 using OS VS2 MVS The system requires the use of an input media such as a card reader temporary disk storage and a printer
104. the input Height value the program will assume vertical walls extend from the ends of the cross section indicating depth has exceeded the channel height If piers are present it is assumed that piers have infinite height Trapezoidal Rectangular Closed 39 WSPG Documentation WSPG Channel Type Channel type Trapezoidal Rectangular Closed Trap Open Rect Open _ Trap IRect Closed Pipe Irregular Channel Right side iy 1 i 0 0 i width z Left side of piers E Height slope 0 0 r n 0 0 1 gp 1 Invert i i cross 4 0 0 Base width 0 0 Number of Piers is optional however if greater than 0 then a value for the Average width of piers must be input If the computed water depth is greater than the input Height value the program will assume vertical walls extend from the ends of the cross section indicating depth has exceeded the channel height If piers are present it is assumed that piers have infinite height Pipe 40 Data Input Descriptions WSPG Channel Type Channel type Pipe v Trap Open Rect Open Trap Rect Closed Irregular Channel Circular pipe diameter is input in feet Irregular 41 WSPG Documentation WSPG Channel Type Channel type Irregular Trap Open Rect Open Trap Rect Closed
105. tion Element Data Element type Reach Link Invert Elevation Upstream Link Ground Elevation Upstream Link Length _ Channel Group Angle Point Closed Channels Angle of Curvature Closed Channels Radius of Curvature Open Channels Number of Manholes 1 Element Data dialog allows selection of element type from down list and allows the user to input data associated with that element Data input requirements vary based on the element selected For reference a quick view of the results for the selected element is displayed in the Element Data dialog after the WSPG model has been solved The arrows progress the selection either upstream or downstream in the stream network Station data can only be input at the System Outlet The program automatically calculates stations for the remainder of the system based on the length of each subsequent element Element data represent the upstream end of the element Node Invert Elevation is the elevation of the element at the upstream end of the element Node Ground Elevation is the elevation at which the element is assumed to no longer contain the flow Channel Group is used to select the channel type types 1 6 Reach 24 Data Input Descriptions Element Data Link Invert Elevation Upstream Link Ground Elevation Upstream Link Length Maningsn Channel Group Pipe j
106. to be read SECTION NUMBER IS INVALID OR MISSING MUST BE BETWEEN 1 AND 200 CODE XXX ISECT XXX NO PTS XXX The section number given is in error CODE is the card code ISECT is the invatid section no and NO PTS is the number of points Correct the invalid cross section points card and resubmit END OF FILE BEFORE ALL POINTS WERE READ ON LAST CROSS SECTION The last input card was read before all the points indicated to exist in the current cross section were read Supply the remaining cross section points cards to complete the section or correct the number of points indicated to define the section END FILE ON CROSS SECTION POINTS The last cross section points card was read and processing in this program is completed NO CHANNEL DEFINITION RECORD FOR THIS SECTION CODE GOING ON TO NEXT CROSS SECTION SECT XXX There was no channel definition or an invalid channel definition was given at the corresponding section number so no processing is done on these cross section points 8 MISSING NUMBER OF POINTS FOR CODE FOR SECTION The first card to describe the cross section points of a section did not have the number of points value to indicate how many points are to be read to describe the channel Make sure this is supposed to be the first card of the section points and supply the number of points value for the section if it is not supposed to be the first card of the section points put the cards in their
107. vation S E Super elevation is computed in curving channels as follows CHAN TYPE 1 Trap Sect Subcritical flow S E 1 15 HV r b D ZL ZR Supercritical flow S E 2 6 HV r b D ZL ZR CHAN TYPE 2 Rect Sect Subcritical flow S E HV b r Supercritical flow S E 2 HV b r 101 12 4 3 TRANSITION ANALYSIS If V2 is greater than V1 then Ht 0 1 HV2 HV1 otherwise Ht 0 2 HV1 HV2 12 4 4 JUNCTION ANALYSIS Q2 V2 Q1 V1 Q3 V3 COSO3 1 g 1 A ave AL Sf av where A ave 1 A2 2 and D1 H D2 HJ AY HVl 102 CLASS 4 578721 c SISATYNY 2 b 3 LONGITUDINAL PROFILE PRESSURE MOMENTUM CURVES GENERAL MOMENTUM FOVATION 4 ay A7 0 P gt e us 7 up one m m NOTATIONS Pem Curves wpafroen 100460 dewatwoon of bridge respectively 0 050 3 dopiho lasida end of bridge rospoctivelp 4 Dep Critical bridge W Chenao width Ae 1 Hydrostatic pressure in unobstructed chanel w Hydroutete preswre of bridge pers 44 064 PIER g CNANNEL 3 1 Ag Aree of unobstructed chonas le eg ft Aree of bridge piers in vo ff Q Diechorge 6 70 6

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