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its very messed towards the end.but up to losses is pretty solidused Veron Marshall for many formulas
Citation preview
AB +VEn= 0.8235294118 hbt 1360
hct 1955Area eff area yb Ay A(Y-y)
Slab 582000 479294.1 1632.5 782447647.06 190073283867Beam 455399 455399 569 259122031 85683317136overlap -13500 -11117.65 1335 -14842058.82 -1227184701
1023899 1026727619
comp yb yt Icomp1002.763 952.237404 393189416303
Zbb 177855888 10^6 357.237404Ztb -127939317 10^6Ztc -412911123 10^6 791Zbc 392106185 10^6
prestressedftt 0.001 E 34 Gpafct -0.0225 fci 45 Mpafts 0 fcu 50 Mpafcs -0.0165
1 1/Pt<= 0.00167435542 1/Pt<= -9.663224E-053 1/Pt<= -0.00011185174 1/Pt>= -0.0005679834
X1 Y1e= 600 1 1/Pt= -0.0019015576
600 2 1/Pt= -0.000245088600 3 1/Pt= 0.0001270294600 4 1/Pt= -0.0014405745
1Selected e 300 pt=
4300 pt=
6.35E+10BC +ve
n= 0.8235294118 hbt 1360hct 1955
Area eff area yb Ay A(Y-y)^2Slab 582000 479294.1 1632.5 782447647.06 190073283867Beam 455399 455399 569 259122031 85683317136overlap -13500 -11117.65 1335 -14842058.82 -1227184701
1023899 923575.5 1026727619
comp yb yt Icomp1002.763 806.237404 393189416303
Zbb 177855888 10^6 177.8559 357.237404Ztb -127939317 10^6 -127.9393Ztc -487684414 10^6 -487.6844Zbc 392106185 10^6 392.1062
prestressedftt 0.001 E 34 Gpafct -0.0225 fci 45 Mpafts 0 fcu 50 Mpafcs -0.0165
1 1/Pt<= 0.00045969712 1/Pt<= -8.707988E-053 1/Pt<= -0.00034940994 1/Pt>= -0.0001312981
X1 Y1e= 600 1 1/Pt= -0.0005220758
600 2 1/Pt= -0.0002208604600 3 1/Pt= 0.0003968231600 4 1/Pt= -0.0003330109
1Selected e 400 pt=
4400 pt=
6.35E+10
MB + 39.85 39850 midMB - -631.59 -631590
I Mbs+ 91.67 91670 mid mid +17460000000 Mbs- -1452.84 -1452840 AB +
101200000000 Ztb/Ab ftt*Ztb-Mb0 ML + 950 950000 mid -280.938951 -167789.31732
ML - -3100 -3100000Zbb/Ab fct*Zbb-Mb390.5495785 -4041607.46924
N (Ztb/Ab) fcs*Ztb-Mbs-ML(Ztb/Ztc)Assume N= 0.76 -280.938951 1908899.837352
Zbb/Ab ftsZbb-Mbs-ML(Zbb/Zbc)390.5495785 -522581.573095
in situE 28 Gpafcu 30 Mpa
+ -5.96E-06 e+ -2.47E-07 e+ 3.981E-07 e+ -1.45E-06 e
X2 Y2e= 0 1 1/Pt= 0.001674355
0 2 1/Pt= -9.6632E-050 3 1/Pt= -0.000111850 4 1/Pt= -0.00056798
Must input as positive-8802.73256764 kN 4500 Selected prerstress
-995.739269676 kN
0 100 200 300 400 500 600 700
-0.0025
-0.002
-0.0015
-0.001
-0.0005
0
0.0005
0.001
0.0015
0.002
1234
MB + 483.2 483200 midMB - -966.35 -966350
I Mbs+ 1111.45 1111450 mid mid +17460000000 Mbs- -2222.9 -2222900 BC
101200000000 Ztb/Ab ftt*Ztb-Mb0 ML + 2927 2927000 mid -280.938951 -611139.31732
ML - -3100 -3100000Zbb/Ab fct*Zbb-Mb390.5495785 -4484957.46924
N (Ztb/Ab) fcs*Ztb-Mbs-ML(Ztb/Ztc)Assume N= 0.82 -280.938951 659311.4876808
Zbb/Ab ftsZbb-Mbs-ML(Zbb/Zbc)390.5495785 -2439111.23626
in situE 28 Gpafcu 30 Mpa
+ -1.64E-06 e+ -2.23E-07 e+ 1.244E-06 e+ -3.36E-07 e
X2 Y2e= 0 1 1/Pt= 0.000459697
0 2 1/Pt= -8.708E-050 3 1/Pt= -0.000349410 4 1/Pt= -0.0001313
0 100 200 300 400 500 600 700
-0.0006
-0.0004
-0.0002
0
0.0002
0.0004
0.0006
1234
0 100 200 300 400 500 600 700
-0.0025
-0.002
-0.0015
-0.001
-0.0005
0
0.0005
0.001
0.0015
0.002
1234
Must input as positive-5132.99120202 kN 4500 Selected prerstress
-3762.60512761 kN
0 100 200 300 400 500 600 700
-0.0006
-0.0004
-0.0002
0
0.0002
0.0004
0.0006
1234
1 1/Pt<= 0.00167436 + -5.959854989E-06 e
2 1/Pt<= -9.6632E-05 + -2.474263044E-07 e
fcs*Ztb-Mbs-ML(Ztb/Ztc)3 1/Pt<= -0.00011185 + 3.9813508552E-07 e check for 3
ftsZbb-Mbs-ML(Zbb/Zbc)4 1/Pt>= -0.00056798 + -1.454318405E-06 e check for 4
Y X1 -0.00190156 600
0.00167436 0
2 -0.00024509 600-9.6632E-05 0
3 0.00012703 600-0.00011185 0
4 -0.00144057 600-0.00056798 0
0 100 200 300 400 500 600 700
-0.0025
-0.002
-0.0015
-0.001
-0.0005
0
0.0005
0.001
0.0015
0.002
1234
1 1/Pt<= 0.0004597 + -1.636288112E-06 e
2 1/Pt<= -8.708E-05 + -2.229675547E-07 e
fcs*Ztb-Mbs-ML(Ztb/Ztc)3 1/Pt<= -0.00034941 + 1.2437216935E-06 e check for 3
ftsZbb-Mbs-ML(Zbb/Zbc)4 1/Pt>= -0.0001313 + -3.361880294E-07 e check for 4
Y X1 -0.00052208 600
0.0004597 0
2 -0.00022086 600-8.708E-05 0
3 0.00039682 600-0.00034941 0
4 -0.00033301 600-0.0001313 0
0 100 200 300 400 500 600 700
-0.0006
-0.0004
-0.0002
0
0.0002
0.0004
0.0006
1234
0 100 200 300 400 500 600 700
-0.0025
-0.002
-0.0015
-0.001
-0.0005
0
0.0005
0.001
0.0015
0.002
1234
0 100 200 300 400 500 600 700
-0.0006
-0.0004
-0.0002
0
0.0002
0.0004
0.0006
1234
Select inequality< >
1 2fcs*Ztb Mbs+Ml(Ztb/Ztc)2110998.73578 202098.898426 1
fts*Zbb Mbs+ML(Zbb/Zcb)0 522581.573095 2
0 100 200 300 400 500 600 700
-0.0025
-0.002
-0.0015
-0.001
-0.0005
0
0.0005
0.001
0.0015
0.002
1234
Select inequality< >
1 2fcs*Ztb Mbs+Ml(Ztb/Ztc)2110998.73578 1451687.2481 1
fts*Zbb Mbs+ML(Zbb/Zcb)0 2439111.23626 2
0 100 200 300 400 500 600 700
-0.0006
-0.0004
-0.0002
0
0.0002
0.0004
0.0006
1234
0 100 200 300 400 500 600 700
-0.0025
-0.002
-0.0015
-0.001
-0.0005
0
0.0005
0.001
0.0015
0.002
1234
0 100 200 300 400 500 600 700
-0.0006
-0.0004
-0.0002
0
0.0002
0.0004
0.0006
1234
AB -VEn= 0.823529 hbt 1360
hct 1955Area eff area yb Ay A(Y-y)
Slab 582000 479294.1 1632.5 7.82E+08 1.901E+11Beam 455399 455399 569 2.59E+08 8.568E+10overlap -13500 -11117.65 1335-14842059 -1.23E+09
1023899 1.03E+09
comp yb yt Icomp1002.763 806.2374 3.932E+11
Zbb 177855887.522 10^6 357.2374Ztb -127939317.32 10^6Ztc -487684414.454 10^6Zbc 392106185.342 10^6Ztcb -1100638992
prestressedftt 0.001 E 34 Gpafct -0.0225 fci 45 Mpafts 0 fcu 50 Mpafcs -0.0165
1 1/Pt<= -8E-052 1/Pt<= 0.00048253 1/Pt<= -5.441E-054 1/Pt>= 0.0001038
X1 Y1e= -375 1 1/Pt= 9.089E-05
-375 2 1/Pt= 0.0012237-375 3 1/Pt= 6.179E-05-375 4 1/Pt= 0.0002633
1340 Selected e -320 pt=
0 100 200 300 400 500 600 700
-0.0025
-0.002
-0.0015
-0.001
-0.0005
0
0.0005
0.001
0.0015
0.002
1234
BC -VEn= 0.823529 hbt 1360
hct 1955Area eff area yb Ay A(Y-y)
Slab 582000 479294.1 1632.5 7.82E+08 1.901E+11Beam 455399 455399 569 2.59E+08 8.568E+10overlap -13500 -11117.65 1335-14842059 -1.23E+09
1023899 1.03E+09
comp yb yt Icomp1002.763 806.2374 3.932E+11
Zbb 177855887.522 10^6 357.2374Ztb -127939317.32 10^6Ztc -487684414.454 10^6Zbc 392106185.342 10^6
prestressedftt 0.001 E 34 Gpafct -0.0225 fci 45 Mpafts 0 fcu 50 Mpafcs -0.0165
1 1/Pt<= -7.307E-052 1/Pt<= 0.00034133 1/Pt<= -4.489E-054 1/Pt>= 8.071E-05
X1 Y1e= -375 1 1/Pt= 8.298E-05
-375 2 1/Pt= 0.0008657-375 3 1/Pt= 5.098E-05-375 4 1/Pt= 0.0002047
0 100 200 300 400 500 600 700
-0.0006
-0.0004
-0.0002
0
0.0002
0.0004
0.0006
1234
0 100 200 300 400 500 600 700
-0.0025
-0.002
-0.0015
-0.001
-0.0005
0
0.0005
0.001
0.0015
0.002
1234
1340 Selected e -320 pt=
0 100 200 300 400 500 600 700
-0.0006
-0.0004
-0.0002
0
0.0002
0.0004
0.0006
1234
MB + 39.85 39850 midMB - -631.59 -631590
I Mbs+ 91.67 91670 mid mid +17460000000 Mbs- -1452.84 -1452840 BA -
101200000000 Ztb/Ab fct*Ztb-Mb0 ML + 950 950000 mid -280.939 3510224.6397 1
ML - -3100 -3100000Zbb/Ab ftt*Zbb-Mb390.5496 809445.88752 2
N (Ztb/Ab) fts*Ztb-Mbs-ML(Ztb/Ztc)Assume N= 0.76 -280.939 3924185.6675 3
Zbb/Ab fcsZbb-Mbs-ML(Zbb/Zbc)390.5496 2858972.5017 4
in situE 28 Gpafcu 30 Mpa
+ 2.849E-07 e+ 1.235E-06 e+ 1.937E-07 e+ 2.658E-07 e
X2 Y2e= 200 1 1/Pt= -8E-05
200 2 1/Pt= 0.000482200 3 1/Pt= -5.44E-05200 4 1/Pt= 0.000104
Must input as positive-5841.233346909 kN 4500 Selected prerstress11473.43335228
-8592.22419509553321.45139053
-500 -400 -300 -200 -100 0 100 200 300
-0.0002
0
0.0002
0.0004
0.0006
0.0008
0.001
0.0012
0.0014
1234
MB + 483.2 483200 midMB - -966.35 -966350
I Mbs+ 1111.45 1111450 mid mid +17460000000 Mbs- -2222.9 -2222900 BC -V
101200000000 Ztb/Ab fct*Ztb-Mb0 ML + 2927 2927000 mid -280.939 3844984.6397 1
ML - -3100 -3100000Zbb/Ab ftt*Zbb-Mb390.5496 1144205.8875 2
N (Ztb/Ab) fts*Ztb-Mbs-ML(Ztb/Ztc)Assume N= 0.75 -280.939 4694245.6675 3
Zbb/Ab fcsZbb-Mbs-ML(Zbb/Zbc)390.5496 3629032.5017 4
in situE 28 Gpafcu 30 Mpa
+ 2.601E-07 e+ 8.74E-07 e+ 1.598E-07 e+ 2.067E-07 e
X2 Y2e= 200 1 1/Pt= -7.31E-05
200 2 1/Pt= 0.000341200 3 1/Pt= -4.49E-05200 4 1/Pt= 8.071E-05
-500 -400 -300 -200 -100 0 100 200 300
-0.0002
0
0.0002
0.0004
0.0006
0.0008
0.001
1234
-500 -400 -300 -200 -100 0 100 200 300
-0.0002
0
0.0002
0.0004
0.0006
0.0008
0.001
0.0012
0.0014
1234
Must input as positive-6398.294924421 kN 4500 Selected prerstress16218.46524165
-10415.35785541 -500 -400 -300 -200 -100 0 100 200 300
-0.0002
0
0.0002
0.0004
0.0006
0.0008
0.001
1234
1/Pt<= -8.0034465E-05 + 2.8488205E-07 e
1/Pt<= 0.00048249004 + 1.235413E-06 e <1
fts*Ztb1/Pt<= -5.4409659E-05 + 1.9367075E-07 e check for 3 2110998.74
fcs*Zbb1/Pt>= 0.0001038197 + 2.6582977E-07 e check for 4 0
Y X1 9.08947665E-05 -375
-8.0034465E-05 200
2 0.00122373786 -3750.00048249004 200
3 6.17927942E-05 -375-5.4409659E-05 200
4 0.00026331757 -3750.0001038197 200
-500 -400 -300 -200 -100 0 100 200 300
-0.0002
0
0.0002
0.0004
0.0006
0.0008
0.001
0.0012
0.0014
1234
1/Pt<= -7.3066339E-05 + 2.6007906E-07 e
1/Pt<= 0.00034132806 + 8.7396858E-07 e <1
fts*Ztb1/Pt<= -4.4885638E-05 + 1.5977008E-07 e check for 3 2110998.74
fcs*Zbb1/Pt>= 8.07135741E-05 + 2.0666665E-07 e check for 4 0
Y X1 8.29810985E-05 -375
-7.3066339E-05 200
2 0.00086570921 -3750.00034132806 200
3 5.09764089E-05 -375-4.4885638E-05 200
4 0.00020471357 -3758.07135741E-05 200
-500 -400 -300 -200 -100 0 100 200 300
-0.0002
0
0.0002
0.0004
0.0006
0.0008
0.001
1234
-500 -400 -300 -200 -100 0 100 200 300
-0.0002
0
0.0002
0.0004
0.0006
0.0008
0.001
0.0012
0.0014
1234
-500 -400 -300 -200 -100 0 100 200 300
-0.0002
0
0.0002
0.0004
0.0006
0.0008
0.001
1234
Select inequality>
2Mbs+Ml(Ztb/Ztc)
-1813186.9 1
Mbs+ML(Zbb/Zcb)-2858972.5 1
-500 -400 -300 -200 -100 0 100 200 300
-0.0002
0
0.0002
0.0004
0.0006
0.0008
0.001
0.0012
0.0014
1234
Select inequality>
2Mbs+Ml(Ztb/Ztc)
-2583246.9 1
Mbs+ML(Zbb/Zcb)-3629032.5 1
-500 -400 -300 -200 -100 0 100 200 300
-0.0002
0
0.0002
0.0004
0.0006
0.0008
0.001
1234
-500 -400 -300 -200 -100 0 100 200 300
-0.0002
0
0.0002
0.0004
0.0006
0.0008
0.001
0.0012
0.0014
1234
-500 -400 -300 -200 -100 0 100 200 300
-0.0002
0
0.0002
0.0004
0.0006
0.0008
0.001
1234
Zbb 177855888 ftt 1 aZtb -127939317 fct -22.5 ftop,b pt/a pt*ec/ZtbZtc -412911123 fts 0 -10.15027 7.22596Zbc 392106185 fcs -16.5
fbot,b pt/Ab Pt*e/ZbbAb 455399 -10.15027 -5.197941P -4622.422 bN 0.76 ftop,b P1/Ab P1e/Ztbe 200 -9.076538 6.461573nc 0.8235294
fbot,b P1/Ab P1e/Zbba at transfer -9.076538 -4.648085b just before slab cast cc After Slab ftop,b P1/Ab P1e/Ztbd After long time -9.076538 6.461573e After long time +ML
ftop,b P1/Ab P1e/ZbbMB + 39.85 39850 mid -9.076538 -4.648085MB - -631.59 -631590 d
0 0 ftop,b P2/Ab P2e/ZtbMbs+ 91.67 91670 mid -7.475089 5.321504Mbs- -1452.84 -1452840
0 0 ftop,b P2/Ab P2e/ZbbML + 950 950000 mid -7.475089 -3.827985ML - -3100 -3100000 ept= -4622.422 ftop,s (ML/Ztc)*nftop,bP1 -4133.4461 -1.894725P2 -4133.4461P3 -3404.1481 fbot,s (ML/Ztb)*nfbot,bP3 -3404.1481 -0.710817
POSTIVE MOMENTZbb 177855888 ftt 1 aZtb -127939317 fct -22.5 ftop,b pt/a pt*ec/ZtbZtc -487684414 fts 0 -9.368075 13.33824Zbc 392106185 fcs -16.5
fbot,b pt/Ab Pt*e/ZbbAb 455399 -9.368075 -9.594761P -4266.212 b
N 0.82 ftop,b P1/Ab P1e/Ztbe 400 -9.037933 12.86818nc 0.8235294
fbot,b P1/Ab P1e/Zbba at transfer -9.037933 -9.256631b just before slab cc After Slab ftop,b P1/Ab P1e/Ztbd After long time -9.037933 12.86818e After long time +ML
ftop,b P1/Ab P1e/ZbbMB + 483.2 483200 mid -9.037933 -9.256631MB - -966.35 -966350 d
ftop,b P2/Ab P2e/ZtbMbs+ 1111.45 1111450 mid -7.496016 10.6728Mbs- -2222.9 -2222900
ftop,b P2/Ab P2e/ZbbML + 2927 2927000 mid -7.496016 -7.677402ML - -3100 -3100000 e
ftop,s (ML/Ztc)*nftop,bpt= -4266.212 -4.942685p1 -4115.8656p1 -4115.8656 fbot,s (ML/Ztb)*nfbot,bp2 -3413.678 -2.190065p2 -3413.678
<0
>-16.5
Differential Shrinkage
Assuming 6 month gap between precasts beams and slab casting
so can ass 60% of shrinkage and creep already taken place Af= 568500ecr= 0.000033 nc= 0.823529esh= -0.00025 Aft= 468176.5bcc= 1.6 assumed
between 1.5 2.5
Assume remain creep occures at stresses time slab is cast
Case c AB+ AB- BC+ BC-stresses Ftb -3.331476231 -8.821145 -4.85707394 -8.452532718632
Fbb -13.209205 -9.872571 -12.0454029 -10.13772946804
ecrtop -4.39755E-05 -0.000116 -6.4113E-05 -0.000111573432ecrbot -0.000174362 -0.00013 -0.000159 -0.000133818029
total strainecr+0.4esh
etb= ecrtop+0.4eshebb= ecrbot+0.4esh
etb= -0.000143975 -0.000216 -0.00016411 -0.000211573432ebb=0.4* -0.000274362 -0.00023 -0.000259 -0.000233818029
curvature kb= 1/hb * (ebb-etb)kb= -9.58721E-08 -1.02E-08 -6.9769E-08 -1.63563214E-08
Mcur= -kb*Ec,b*IbMcb= 32.98766299 3.5113423 24.00614325 5.62788306432eave, b= -0.000209168 -0.000223 -0.00021156 -0.00022269573ediff= esf-eave,bediff= -4.08315E-05 -2.662E-05 -3.8444E-05 -2.73042696E-05
ten F F= -ediff*Ec,f*AfF= 649.955879 423.76064 611.946071 434.629362983
Mc= F*(|ytc|-hf/c)-Mcb
Mc= 390.9378723 272.88119 375.1279735 277.8536443696
reductio factor= (1-e^-bc)/bcc rdf 0.4988
AB length(m) Mb Mbs ML Pt P1 P20 0 0 0 -4729.725 -4077.491 3483.858
1.35 30.3 69.718479 -266.772898 -4708.669947967 -4089.795 3482.5212.7 39.85 91.658529 -536.882991 -4687.614895935 -4095.967 3456.114
4.05 28.61 65.82015 -810.33028 -4666.559843902 -4106.608 3436.2645.4 -3.389 -7.796659 -1087.11476 -4645.50479187 -4113.196 3393.732
6.75 -56.16 -129.1919 -1367.23644 -4622.421970221 -4133.446 3404.1488.1 -129.7 -298.3656 -1650.69532 -4597.716932878 -4167.08 3472.319
9.45 -224.02 -515.3177 -1937.49139 -4573.011895536 -4206.882 3576.4410.8 -339.1 -780.0482 -2227.62466 -4548.306858193 -4241.52 3650.798
12.15 -474.97 -1092.557 -2521.09512 -4521.1441275 -4257.473 3668.50113.5 -631.6 -1452.844 -2817.90272 -4474.31985 -4295.63 3701.565
BC length(m_ Mb Mbs ML0 -631.6 -1452.844 -2817.90272 -4474.31985 -4295.63 3701.5653 -203.5 -468.097 -987.220467 -4417.56315 -4309.455 3702.5346 122 280.70525 502.783308 -4379.72535 -4278.859 3683.1219 344.9 793.56312 1652.10861 -4341.88755 -4221.86 3599.714
12 465.3 1070.4766 2460.755438 -4304.04975 -4163.059 3488.59615 483 1111.4457 2927.811544 -4266.21195 -4115.866 3413.67818 398.4 916.47043 2622.691885 -4229.55658125 -4086.071 3392.91621 211.08 485.55076 1977.30329 -4192.9012125 -4069.409 3420.32824 -78.8 -181.3133 991.236221 -4156.24584375 -4053.716 3448.71427 -471.3 -1084.122 -335.509321 -4119.590475 -4016.056 3434.47430 -966.35 -2222.87 -2002.92696 -4067.892882039 -3956.164 3420.503
ZbbMb/Ztb Ztb-0.311476 -3.235784 Ztc
AB POSITIVE ZbcMb/Zbb0.224058 -15.12415 Ab
PMb/Ztb N-0.311476 -2.92644 e
ncMb/Zbb0.224058 -13.50056 a
bMbs/Ztb c-0.716512 -3.331476 d
eMbs/Zbb0.515417 -13.2092 MB +
MB -Mbs/Ztb-0.716512 -2.870096 Mbs+
Mbs-Mbs/Zbb0.515417 -10.78766 ML +
ML -P2/Ab P2e/Ztb Mbs/Ztb MLYtb/Ic pt=-7.475089 5.321504 -0.7165115613 -0.863134966944 -3.733231 p1
p1P2/Ab P2e/Zbb Mbs/Zbb MLYbb/Ic p2-7.475089 -3.827985 0.51541729249 2.4228130937862 -8.364843 p2
ZbbMb/Ztb Ztb-3.776791 0.19337 Ztc
BC POSITIVE ZbcMb/Zbb2.716806 -16.24603 Ab
P
Mb/Ztb N-3.776791 0.053457 e
ncMb/Zbb2.716806 -15.57776 a
bMbs/Ztb c-8.687322 -4.857074 d
eMbs/Zbb6.249161 -12.0454 MB +
MB -Mbs/Ztb-8.687322 -5.510534 Mbs+
Mbs-Mbs/Zbb6.249161 -8.924257 ML +
ML -P2/Ab P2e/Ztb Mbs/Ztb MLYtb/Ic-7.496016 10.6728 -8.6873216403 -2.659364261309 -8.169898 pt=
p1P2/Ab P2e/Zbb Mbs/Zbb MLYbb/Ic p1-7.496016 -7.677402 6.24916057312 7.464814658434 -1.459443 p2
p2
568.5
468.1765
AB+ AB- BC+ BC-F/Aft 1.3882711325241 0.90513 1.307084 0.928345
ftop,s = -F/Ac 1.1432821091375 0.745401 1.076422 0.76452+Mc*ytop,c/Ic -0.946784550225 -0.660872 -0.908496 -0.672914
sum -0.701795526838 -0.501143 -0.677834 -0.509088sum *nc*rdf -0.288281089589 -0.205858 -0.278438 -0.209121
AB+ AB- BC+ BC-fbot,s= = F/Aft 1.6616582903709 1.14602 1.388931 1.52509
-F/Ac 1.3684244744231 0.943781 1.143826 1.255957+Mc*ybot,c/Ic -0.3551917342 -0.24793 -0.340827 -0.252448
sum -0.061957918252 -0.045691 -0.095722 0.016686*nc*rdf -0.025450854985 -0.018769 -0.03932 0.006854
AB+ AB- BC+ BC-ftop,b = Mcb*ytb/Ib -0.257838353974 -0.027445 -0.187637 -0.043989
-F/Ac 1.1432821091375 0.745401 1.076422 0.76452+Mc*ytop,c/Ic -0.3551917342 -0.24793 -0.340827 -0.252448
SUM -1.756312197311 -1.020776 -1.604887 -1.060956*rdf -0.876048524019 -0.509163 -0.800517 -0.529205
AB+ AB- BC+ BC-fbot,b = Mcb*ybb/Ib 0.2578383539739 0.027445 0.187637 0.043989
-F/Ac 1.1432821091375 0.745401 1.076422 0.76452+Mc*yb,c/Ic 0.3551917341997 0.24793 0.340827 0.252448
.SUM -0.530252020964 -0.470026 -0.547958 -0.468083*rdf -0.264489708057 -0.234449 -0.273321 -0.23348
e0
119.8125209.25247.61295.04
292.25239.24136.01-17.44
-219.56-320
e-320-173
84.25268
378.25415
378.25268
84.25-173-320
1.78E+08 ftt 1 a-1.28E+08 fct -22.5 ftop,b pt/a pt*ec/Ztb Mb/Ztb-4.13E+08 fts 0 -9.825054 -11.19111 4.936637 -16.079523.92E+08 fcs -16.5 AB NEGATIVE
fbot,b pt/Ab Pt*e/Zbb Mb/Zbb455399 -9.825054 8.050239 -3.551133 -5.325949
-4474.32 b0.76 ftop,b P1/Ab P1e/Ztb Mb/Ztb-320 -9.432673 -10.74417 4.936637 -15.2402
0.823529fbot,b P1/Ab P1e/Zbb Mb/Zbb
at transfer -9.432673 7.728738 -3.551133 -5.255068just before slab cAfter Slab ftop,b P1/Ab P1e/Ztb Mbs/ZtbAfter long time -9.432673 -10.74417 11.3557 -8.821145After long time +ML
ftop,b P1/Ab P1e/Zbb Mbs/Zbb39.85 39850 mid -9.432673 7.728738 -8.168636 -9.872571
-631.59 -631590 dftop,b P2/Ab P2e/Ztb Mbs/Ztb
91.67 91670 mid -8.17964 -9.316917 11.3557 -6.140861-1452.84 -1452840
ftop,b P2/Ab P2e/Zbb Mbs/Zbb950 950000 mid -8.17964 6.702055 -8.168636 -9.646221
-3100 -3100000 e-4474.32 ftop,s (ML/Ztc)*nftop,b P2/Ab P2e/Ztb Mbs/Ztb-4295.63 6.182786 -8.17964 -9.316917 11.3557-4295.63
-3725 fbot,s (ML/Ztb)*nfbot,b P2/Ab P2e/Zbb Mbs/Zbb-3725 -2.319508 -8.17964 6.702055 -8.168636
1.78E+08 ftt 1 a-1.28E+08 fct -22.5 ftop,b pt/a pt*ec/Ztb Mb/Ztb-4.88E+08 fts 0 -9.825054 -11.19111 7.55319 -13.462973.92E+08 fcs -16.5 BC NEGATIVE
fbot,b pt/Ab Pt*e/Zbb Mb/Zbb455399 -9.825054 8.050239 -5.433332 -7.208147
-4474.32 b
0.82 ftop,b P1/Ab P1e/Ztb Mb/Ztb-320 -9.432673 -10.74417 7.55319 -12.62365
0.823529fbot,b P1/Ab P1e/Zbb Mb/Zbb
at transfer -9.432673 7.728738 -5.433332 -7.137267just before slab cAfter Slab ftop,b P1/Ab P1e/Ztb Mbs/ZtbAfter long time -9.432673 -10.74417 11.72431 -8.452533After long time +ML
ftop,b P1/Ab P1e/Zbb Mbs/Zbb483.2 483200 mid -9.432673 7.728738 -8.433794 -10.13773
-966.35 -966350 dftop,b P2/Ab P2e/Ztb Mbs/Ztb
1111.45 1111450 mid -8.128179 -9.258301 11.72431 -5.662171-2222 -2222000
ftop,b P2/Ab P2e/Zbb Mbs/Zbb2927 2927000 mid -8.128179 6.65989 -8.433794 -9.902083
-3100 -3100000 eftop,s (ML/Ztc)*nftop,b P2/Ab P2e/Ztb Mbs/Ztb
-4474.32 5.234822 -8.128179 -9.258301 11.72431-4295.63-4295.63 fbot,s (ML/Ztb)*nfbot,b P2/Ab P2e/Zbb Mbs/Zbb
-3701.565 2.319508 -8.128179 6.65989 -8.433794-3701.565
<0
>-16.5
0
Must check by hand!!!!!!!!!!!!!!
LinPro 2.7.5File: C:\Users\CHRIS\Documents\linpro\Prestressed concrete project.alnUnits: kN-m
AB NEGATIVE ____________________________________________________________________________Load Case: CASE1 Displacements of joints in global CS Joint X Y phi 0 0.000000 0.000000 0.029086 1 0.000000 0.000000 -0.192630 2 0.000000 0.000000 0.000004 3 0.000000 0.000000 0.192624 4 0.000000 0.000000 -0.029080 Reactions in global CS Joint Rx Ry M 0 3.742167 69.469315 0.000000 1 -2.844902 651.835032 0.000000 2 -1.786040 837.269329 0.000000 3 -2.932734 651.567952 0.000000 4 3.821509 69.258372 0.000000 Displacements (global CS) and forces (local CS) on members ends
MLYtb/Ic Memb: 06.054572 -0.08629 Joint X Y phi
0 0.000000 0.000000 0.029086MLYbb/Ic 1 0.000000 0.000000 -0.192630-6.375824 -16.02204 Axial Shear Moment
0 -6.156998 -69.297049 0.000000 1 6.149546 284.188791 -1452.843645 Memb: 1 Joint X Y phi 1 0.000000 0.000000 -0.192630 2 0.000000 0.000000 0.000004 Axial Shear Moment 1 -13.754995 -367.348011 -1452.843645 2 13.738171 418.171006 -2222.870106 Memb: 2 Joint X Y phi 2 0.000000 0.000000 0.000004 3 0.000000 0.000000 0.192624
BC NEGATIVE Axial Shear Moment 2 -13.623995 -418.652998 -2222.870106 3 13.607647 366.875128 -1452.813607 Memb: 3
Joint X Y phi 3 0.000000 0.000000 0.192624 4 0.000000 0.000000 -0.029080 Axial Shear Moment 3 -6.287997 -284.397793 -1452.813607 4 6.280061 69.078846 0.000000 Displacements and forces along members in local CS Memb: 0 d(x) X Y phi 0.000 0.000000 0.000000 0.029086 1.351 -0.000004 0.040531 0.031709 2.702 -0.000007 0.087060 0.037428 4.052 -0.000009 0.141588 0.043015 5.403 -0.000010 0.201758 0.045243 6.754 -0.000010 0.260854 0.040886 8.105 -0.000010 0.307799 0.026716 9.456 -0.000009 0.327160 -0.000493
MLYtb/Ic 10.807 -0.000007 0.299142 -0.0439702.271408 -3.390764 12.157 -0.000004 0.199592 -0.106939
13.508 0.000000 0.000000 -0.192630MLYbb/Ic d(x) Axial Shear Moment-6.375824 -16.27791 0.000 -6.156998 -69.297049 0.000000
1.351 -4.925598 -33.927049 69.718479 2.702 -3.694198 1.442951 91.658529 4.052 -2.462798 36.812951 65.820150 5.403 -1.231398 72.182951 -7.796659 6.754 0.000002 107.552951 -129.191896 8.105 1.231402 142.922951 -298.365563 9.456 2.462802 178.292951 -515.317659 10.807 3.694202 213.662951 -780.048184 12.157 4.925602 249.032951 -1092.557138 13.508 6.149546 284.188791 -1452.843645 Memb: 1 d(x) X Y phi 0.000 0.000000 0.000000 -0.192630 3.002 -0.000019 -0.827158 -0.333837 6.004 -0.000033 -1.874076 -0.344949 9.006 -0.000043 -2.803381 -0.261379 12.007 -0.000050 -3.384003 -0.118539 15.009 -0.000052 -3.491180 0.048156 18.011 -0.000050 -3.106453 0.203294 21.013 -0.000043 -2.317667 0.311461 24.015 -0.000033 -1.318974 0.337244 27.017 -0.000019 -0.410832 0.245230 30.018 0.000000 0.000000 0.000004 d(x) Axial Shear Moment 0.000 -13.754995 -367.348011 -1452.843645
3.002 -11.003995 -288.748011 -468.097008 6.004 -8.252995 -210.148011 280.705246 9.006 -5.501995 -131.548011 793.563116 12.007 -2.750995 -52.948011 1070.476603 15.009 0.000005 25.651989 1111.445707 18.011 2.751005 104.251989 916.470427 21.013 5.502005 182.851989 485.550764 24.015 8.253005 261.451989 -181.313282 27.017 11.004005 340.051989 -1084.121712 30.018 13.738171 418.171006 -2222.870107 Memb: 2 d(x) X Y phi 0.000 0.000000 0.000000 0.000004 3.002 -0.000018 -0.410797 -0.245219 6.004 -0.000033 -1.318895 -0.337234 9.005 -0.000043 -2.317547 -0.311453 12.007 -0.000049 -3.106306 -0.203290 15.009 -0.000051 -3.491024 -0.048157 18.011 -0.000049 -3.383858 0.118534 21.013 -0.000043 -2.803263 0.261370 24.014 -0.000033 -1.873999 0.344939 27.016 -0.000018 -0.827125 0.333828 30.018 0.000000 0.000000 0.192624 d(x) Axial Shear Moment 0.000 -13.623995 -418.652998 -2222.870106 3.002 -10.899195 -340.052998 -1084.127470 6.004 -8.174395 -261.452998 -181.326480 9.005 -5.449595 -182.852998 485.532862 12.007 -2.724795 -104.252998 916.450557 15.009 0.000005 -25.652998 1111.426606 18.011 2.724805 52.947002 1070.461007 21.013 5.449605 131.547002 793.553761 24.014 8.174405 210.147002 280.704868 27.016 10.899205 288.747002 -468.085672 30.018 13.607647 366.875128 -1452.813607 Memb: 3 d(x) X Y phi 0.000 0.000000 0.000000 0.192624 1.351 -0.000004 0.199590 0.106934 2.702 -0.000007 0.299135 0.043965 4.053 -0.000009 0.327148 0.000490 5.403 -0.000010 0.307784 -0.026718 6.754 -0.000011 0.260836 -0.040886 8.105 -0.000010 0.201740 -0.045242 9.456 -0.000009 0.141571 -0.043012 10.807 -0.000007 0.087047 -0.037423 12.158 -0.000004 0.040524 -0.031703 13.509 0.000000 0.000000 -0.029080
d(x) Axial Shear Moment 0.000 -6.287997 -284.397793 -1452.813606 1.351 -5.030397 -249.027793 -1092.523813 2.702 -3.772797 -213.657793 -780.013693
4.053 -2.515197 -178.287793 -515.283245 5.403 -1.257597 -142.917793 -298.332471 6.754 0.000003 -107.547793 -129.161369 8.105 1.257603 -72.177793 -7.769940 9.456 2.515203 -36.807793 65.841816 10.807 3.772803 -1.437793 91.673899 12.158 5.030403 33.932207 69.726310 13.509 6.280061 69.078846 0.000000 ____________________________________________________________________________Load Case: CASE2 Displacements of joints in global CS Joint X Y phi 0 0.000000 0.000000 0.000000 1 0.000000 0.000000 0.000000 2 0.000000 0.000000 0.000000 3 0.000000 0.000000 0.000000 4 0.000000 0.000000 0.000000 Reactions in global CS Joint Rx Ry M 0 0.000000 0.000000 0.000000 1 0.000000 0.000000 0.000000 2 0.000000 0.000000 0.000000 3 0.000000 0.000000 0.000000 4 0.000000 0.000000 0.000000 Displacements (global CS) and forces (local CS) on members ends Memb: 0 Joint X Y phi 0 0.000000 0.000000 0.000000 1 0.000000 0.000000 0.000000 Axial Shear Moment 0 0.000000 0.000000 0.000000 1 0.000000 0.000000 0.000000 Memb: 1 Joint X Y phi 1 0.000000 0.000000 0.000000 2 0.000000 0.000000 0.000000 Axial Shear Moment 1 0.000000 0.000000 0.000000 2 0.000000 0.000000 0.000000
Memb: 2 Joint X Y phi 2 0.000000 0.000000 0.000000 3 0.000000 0.000000 0.000000 Axial Shear Moment 2 0.000000 0.000000 0.000000 3 0.000000 0.000000 0.000000 Memb: 3 Joint X Y phi 3 0.000000 0.000000 0.000000 4 0.000000 0.000000 0.000000 Axial Shear Moment 3 0.000000 0.000000 0.000000 4 0.000000 0.000000 0.000000 Displacements and forces along members in local CS Memb: 0 d(x) X Y phi 0.000 0.000000 0.000000 0.000000 1.351 0.000000 0.000000 0.000000 2.702 0.000000 0.000000 0.000000 4.052 0.000000 0.000000 0.000000 5.403 0.000000 0.000000 0.000000 6.754 0.000000 0.000000 0.000000 8.105 0.000000 0.000000 0.000000 9.456 0.000000 0.000000 0.000000 10.807 0.000000 0.000000 0.000000 12.157 0.000000 0.000000 0.000000 13.508 0.000000 0.000000 0.000000 d(x) Axial Shear Moment 0.000 0.000000 0.000000 0.000000 1.351 0.000000 0.000000 0.000000 2.702 0.000000 0.000000 0.000000 4.052 0.000000 0.000000 0.000000 5.403 0.000000 0.000000 0.000000 6.754 0.000000 0.000000 0.000000 8.105 0.000000 0.000000 0.000000 9.456 0.000000 0.000000 0.000000 10.807 0.000000 0.000000 0.000000 12.157 0.000000 0.000000 0.000000 13.508 0.000000 0.000000 0.000000 Memb: 1 d(x) X Y phi 0.000 0.000000 0.000000 0.000000 3.002 0.000000 0.000000 0.000000 6.004 0.000000 0.000000 0.000000 9.006 0.000000 0.000000 0.000000 12.007 0.000000 0.000000 0.000000
15.009 0.000000 0.000000 0.000000 18.011 0.000000 0.000000 0.000000 21.013 0.000000 0.000000 0.000000 24.015 0.000000 0.000000 0.000000 27.017 0.000000 0.000000 0.000000 30.018 0.000000 0.000000 0.000000 d(x) Axial Shear Moment 0.000 0.000000 0.000000 0.000000 3.002 0.000000 0.000000 0.000000 6.004 0.000000 0.000000 0.000000 9.006 0.000000 0.000000 0.000000 12.007 0.000000 0.000000 0.000000 15.009 0.000000 0.000000 0.000000 18.011 0.000000 0.000000 0.000000 21.013 0.000000 0.000000 0.000000 24.015 0.000000 0.000000 0.000000 27.017 0.000000 0.000000 0.000000 30.018 0.000000 0.000000 0.000000 Memb: 2 d(x) X Y phi 0.000 0.000000 0.000000 0.000000 3.002 0.000000 0.000000 0.000000 6.004 0.000000 0.000000 0.000000 9.005 0.000000 0.000000 0.000000 12.007 0.000000 0.000000 0.000000 15.009 0.000000 0.000000 0.000000 18.011 0.000000 0.000000 0.000000 21.013 0.000000 0.000000 0.000000 24.014 0.000000 0.000000 0.000000 27.016 0.000000 0.000000 0.000000 30.018 0.000000 0.000000 0.000000 d(x) Axial Shear Moment 0.000 0.000000 0.000000 0.000000 3.002 0.000000 0.000000 0.000000 6.004 0.000000 0.000000 0.000000 9.005 0.000000 0.000000 0.000000 12.007 0.000000 0.000000 0.000000 15.009 0.000000 0.000000 0.000000 18.011 0.000000 0.000000 0.000000 21.013 0.000000 0.000000 0.000000 24.014 0.000000 0.000000 0.000000 27.016 0.000000 0.000000 0.000000 30.018 0.000000 0.000000 0.000000 Memb: 3 d(x) X Y phi 0.000 0.000000 0.000000 0.000000 1.351 0.000000 0.000000 0.000000 2.702 0.000000 0.000000 0.000000
4.053 0.000000 0.000000 0.000000 5.403 0.000000 0.000000 0.000000 6.754 0.000000 0.000000 0.000000 8.105 0.000000 0.000000 0.000000 9.456 0.000000 0.000000 0.000000 10.807 0.000000 0.000000 0.000000 12.158 0.000000 0.000000 0.000000 13.509 0.000000 0.000000 0.000000 d(x) Axial Shear Moment 0.000 0.000000 0.000000 0.000000 1.351 0.000000 0.000000 0.000000 2.702 0.000000 0.000000 0.000000 4.053 0.000000 0.000000 0.000000 5.403 0.000000 0.000000 0.000000 6.754 0.000000 0.000000 0.000000 8.105 0.000000 0.000000 0.000000 9.456 0.000000 0.000000 0.000000 10.807 0.000000 0.000000 0.000000 12.158 0.000000 0.000000 0.000000 13.509 0.000000 0.000000 0.000000
File: C:\Users\CHRIS\Documents\linpro\Prestressed concrete project.aln
____________________________________________________________________________
1 -2.844902 651.835032 0.000000 2 -1.786040 837.269329 0.000000 3 -2.932734 651.567952 0.000000
Displacements (global CS) and forces (local CS) on members ends
1 6.149546 284.188791 -1452.843645
1 -13.754995 -367.348011 -1452.843645 2 13.738171 418.171006 -2222.870106
2 -13.623995 -418.652998 -2222.870106 3 13.607647 366.875128 -1452.813607
3 -6.287997 -284.397793 -1452.813607
0.000 0.000000 0.000000 0.029086 1.351 -0.000004 0.040531 0.031709 2.702 -0.000007 0.087060 0.037428 4.052 -0.000009 0.141588 0.043015 5.403 -0.000010 0.201758 0.045243 6.754 -0.000010 0.260854 0.040886 8.105 -0.000010 0.307799 0.026716 9.456 -0.000009 0.327160 -0.000493 10.807 -0.000007 0.299142 -0.043970 12.157 -0.000004 0.199592 -0.106939 13.508 0.000000 0.000000 -0.192630
0.000 -6.156998 -69.297049 0.000000 1.351 -4.925598 -33.927049 69.718479 2.702 -3.694198 1.442951 91.658529 4.052 -2.462798 36.812951 65.820150 5.403 -1.231398 72.182951 -7.796659 6.754 0.000002 107.552951 -129.191896 8.105 1.231402 142.922951 -298.365563 9.456 2.462802 178.292951 -515.317659 10.807 3.694202 213.662951 -780.048184 12.157 4.925602 249.032951 -1092.557138 13.508 6.149546 284.188791 -1452.843645
0.000 0.000000 0.000000 -0.192630 3.002 -0.000019 -0.827158 -0.333837 6.004 -0.000033 -1.874076 -0.344949 9.006 -0.000043 -2.803381 -0.261379 12.007 -0.000050 -3.384003 -0.118539 15.009 -0.000052 -3.491180 0.048156 18.011 -0.000050 -3.106453 0.203294 21.013 -0.000043 -2.317667 0.311461 24.015 -0.000033 -1.318974 0.337244 27.017 -0.000019 -0.410832 0.245230 30.018 0.000000 0.000000 0.000004
0.000 -13.754995 -367.348011 -1452.843645
3.002 -11.003995 -288.748011 -468.097008 6.004 -8.252995 -210.148011 280.705246 9.006 -5.501995 -131.548011 793.563116 12.007 -2.750995 -52.948011 1070.476603 15.009 0.000005 25.651989 1111.445707 18.011 2.751005 104.251989 916.470427 21.013 5.502005 182.851989 485.550764 24.015 8.253005 261.451989 -181.313282 27.017 11.004005 340.051989 -1084.121712 30.018 13.738171 418.171006 -2222.870107
0.000 0.000000 0.000000 0.000004 3.002 -0.000018 -0.410797 -0.245219 6.004 -0.000033 -1.318895 -0.337234 9.005 -0.000043 -2.317547 -0.311453 12.007 -0.000049 -3.106306 -0.203290 15.009 -0.000051 -3.491024 -0.048157 18.011 -0.000049 -3.383858 0.118534 21.013 -0.000043 -2.803263 0.261370 24.014 -0.000033 -1.873999 0.344939 27.016 -0.000018 -0.827125 0.333828 30.018 0.000000 0.000000 0.192624
0.000 -13.623995 -418.652998 -2222.870106 3.002 -10.899195 -340.052998 -1084.127470 6.004 -8.174395 -261.452998 -181.326480 9.005 -5.449595 -182.852998 485.532862 12.007 -2.724795 -104.252998 916.450557 15.009 0.000005 -25.652998 1111.426606 18.011 2.724805 52.947002 1070.461007 21.013 5.449605 131.547002 793.553761 24.014 8.174405 210.147002 280.704868 27.016 10.899205 288.747002 -468.085672 30.018 13.607647 366.875128 -1452.813607
0.000 0.000000 0.000000 0.192624 1.351 -0.000004 0.199590 0.106934 2.702 -0.000007 0.299135 0.043965 4.053 -0.000009 0.327148 0.000490 5.403 -0.000010 0.307784 -0.026718 6.754 -0.000011 0.260836 -0.040886 8.105 -0.000010 0.201740 -0.045242 9.456 -0.000009 0.141571 -0.043012 10.807 -0.000007 0.087047 -0.037423 12.158 -0.000004 0.040524 -0.031703 13.509 0.000000 0.000000 -0.029080
0.000 -6.287997 -284.397793 -1452.813606 1.351 -5.030397 -249.027793 -1092.523813 2.702 -3.772797 -213.657793 -780.013693
5.403 -1.257597 -142.917793 -298.332471 6.754 0.000003 -107.547793 -129.161369 8.105 1.257603 -72.177793 -7.769940 9.456 2.515203 -36.807793 65.841816 10.807 3.772803 -1.437793 91.673899 12.158 5.030403 33.932207 69.726310 13.509 6.280061 69.078846 0.000000
____________________________________________________________________________
Displacements (global CS) and forces (local CS) on members ends
0.000 0.000000 0.000000 0.000000 1.351 0.000000 0.000000 0.000000 2.702 0.000000 0.000000 0.000000 4.052 0.000000 0.000000 0.000000 5.403 0.000000 0.000000 0.000000 6.754 0.000000 0.000000 0.000000 8.105 0.000000 0.000000 0.000000 9.456 0.000000 0.000000 0.000000 10.807 0.000000 0.000000 0.000000 12.157 0.000000 0.000000 0.000000 13.508 0.000000 0.000000 0.000000
0.000 0.000000 0.000000 0.000000 1.351 0.000000 0.000000 0.000000 2.702 0.000000 0.000000 0.000000 4.052 0.000000 0.000000 0.000000 5.403 0.000000 0.000000 0.000000 6.754 0.000000 0.000000 0.000000 8.105 0.000000 0.000000 0.000000 9.456 0.000000 0.000000 0.000000 10.807 0.000000 0.000000 0.000000 12.157 0.000000 0.000000 0.000000 13.508 0.000000 0.000000 0.000000
0.000 0.000000 0.000000 0.000000 3.002 0.000000 0.000000 0.000000 6.004 0.000000 0.000000 0.000000 9.006 0.000000 0.000000 0.000000 12.007 0.000000 0.000000 0.000000
15.009 0.000000 0.000000 0.000000 18.011 0.000000 0.000000 0.000000 21.013 0.000000 0.000000 0.000000 24.015 0.000000 0.000000 0.000000 27.017 0.000000 0.000000 0.000000 30.018 0.000000 0.000000 0.000000
0.000 0.000000 0.000000 0.000000 3.002 0.000000 0.000000 0.000000 6.004 0.000000 0.000000 0.000000 9.006 0.000000 0.000000 0.000000 12.007 0.000000 0.000000 0.000000 15.009 0.000000 0.000000 0.000000 18.011 0.000000 0.000000 0.000000 21.013 0.000000 0.000000 0.000000 24.015 0.000000 0.000000 0.000000 27.017 0.000000 0.000000 0.000000 30.018 0.000000 0.000000 0.000000
0.000 0.000000 0.000000 0.000000 3.002 0.000000 0.000000 0.000000 6.004 0.000000 0.000000 0.000000 9.005 0.000000 0.000000 0.000000 12.007 0.000000 0.000000 0.000000 15.009 0.000000 0.000000 0.000000 18.011 0.000000 0.000000 0.000000 21.013 0.000000 0.000000 0.000000 24.014 0.000000 0.000000 0.000000 27.016 0.000000 0.000000 0.000000 30.018 0.000000 0.000000 0.000000
0.000 0.000000 0.000000 0.000000 3.002 0.000000 0.000000 0.000000 6.004 0.000000 0.000000 0.000000 9.005 0.000000 0.000000 0.000000 12.007 0.000000 0.000000 0.000000 15.009 0.000000 0.000000 0.000000 18.011 0.000000 0.000000 0.000000 21.013 0.000000 0.000000 0.000000 24.014 0.000000 0.000000 0.000000 27.016 0.000000 0.000000 0.000000 30.018 0.000000 0.000000 0.000000
0.000 0.000000 0.000000 0.000000 1.351 0.000000 0.000000 0.000000 2.702 0.000000 0.000000 0.000000
4.053 0.000000 0.000000 0.000000 5.403 0.000000 0.000000 0.000000 6.754 0.000000 0.000000 0.000000 8.105 0.000000 0.000000 0.000000 9.456 0.000000 0.000000 0.000000 10.807 0.000000 0.000000 0.000000 12.158 0.000000 0.000000 0.000000 13.509 0.000000 0.000000 0.000000
0.000 0.000000 0.000000 0.000000 1.351 0.000000 0.000000 0.000000 2.702 0.000000 0.000000 0.000000 4.053 0.000000 0.000000 0.000000 5.403 0.000000 0.000000 0.000000 6.754 0.000000 0.000000 0.000000 8.105 0.000000 0.000000 0.000000 9.456 0.000000 0.000000 0.000000 10.807 0.000000 0.000000 0.000000 12.158 0.000000 0.000000 0.000000 13.509 0.000000 0.000000 0.000000
-2500000
-1500000
-2500000
e Cable profileAB Assume all parobolasL= 13.5 Beam AB e2*(b1-b2)/(a1*L)^2b1= 0 Section 1 2 e= -0.008333 x^2b2= -0.8823529
6 a1= 0.4444444 2 3 X= e2*((1-b1)/(1-a1)*(1-a1-a2))1.5 a2= 0.1111111 X= -1.377
X/L^2e1= 0 2 3 e23= -0.007556 x^2e3= 0.3e2= -0.34 3 4 X= e2*(-(1-b2)/(a2*(1-a1)
10.368e4= -0.212 X/L^2
3 4 e= 0.056889 x^2
Equivalent Loads p= -4500
UDL 1 2 = 75 M at 1 0
2 3 = 128
3 4= -512 M at 4 1530 kn/m
for the neg short as well
e
+ e2*(2(b2-b1)/(a1*L)) + e2*b1+ 0.1 x + 0
e2*((1-b1)/(1-a1)*(1-a1-a2))3
+ (-2Xa1/L) + X*a1^2 + e2*b2+ 0.090667 x -0.272 + 0.3
e2*(-(1-b2)/(a2*(1-a1)
+ (-2*X/L) + X + e2+ -1.536 x + 10.368 + -0.34
Equivalent Loads
UDL
MB + 39.85 39850 midMB - -631.59 -631590 Cable Zone
177.85589 ZbbMbs+ 91.67 91670 mid -127.9393 ZtbMbs- -1452.84 -1452840 -412.9111 Ztc
392.10619 ZbcML + 950 950000 midML - -3100 -3100000 ftt
fctftsfcs
BC
AB
Mb d(x) Axial Shear Moment 0.000 -2.676649 -30.125702 0.000000 MB 1.351 -2.141319 -14.749202 30.308911 d(x) Axial Shear Moment 2.702 -1.605989 0.627298 39.846971 0.000 -5.979748 -159.698238 -631.598821 4.052 -1.070659 16.003798 28.614180 3.002 -4.783798 -125.528238 -203.497134
5.403 -0.535329 31.380298 -3.389463 6.004 -3.587848 -91.358238 122.031784 6.754 0.000001 46.756798 -56.163958 9.006 -2.391898 -57.188238 344.987935 8.105 0.535331 62.133298 -129.709304 12.007 -1.195948 -23.018238 465.371317 9.456 1.070661 77.509798 -224.025501 15.009 0.000002 11.151762 483.181931 10.807 1.605991 92.886298 -339.112550 18.011 1.195952 45.321762 398.419777 12.157 2.141321 108.262798 -474.970450 21.013 2.391902 79.491762 211.084855 13.508 2.673410 123.546196 -631.598821 24.015 3.587852 113.661762 -78.822835
27.017 4.783802 147.831762 -471.303294Mbs 30.018 5.972434 181.792662 -966.354600 d(x) Axial Shear Moment 0.000 -6.156998 -69.297049 0.000000 1.351 -4.925598 -33.927049 69.718479 Mbs 2.702 -3.694198 1.442951 91.658529 d(x) Axial Shear Moment 4.052 -2.462798 36.812951 65.820150 0.000 -13.754995 -367.348011 -1452.843645 5.403 -1.231398 72.182951 -7.796659 3.002 -11.003995 -288.748011 -468.097008 6.754 0.000002 107.552951 -129.191896 6.004 -8.252995 -210.148011 280.705246 8.105 1.231402 142.922951 -298.365563 9.006 -5.501995 -131.548011 793.563116 9.456 2.462802 178.292951 -515.317659 12.007 -2.750995 -52.948011 1070.476603 10.807 3.694202 213.662951 -780.048184 15.009 0.000005 25.651989 1111.445707 12.157 4.925602 249.032951 -1092.557138 18.011 2.751005 104.251989 916.470427 13.508 6.149546 284.188791 -1452.843645 21.013 5.502005 182.851989 485.550764
24.015 8.253005 261.451989 -181.313282Ml 27.017 11.004005 340.051989 -1084.121712 d(x) Axial Shear Moment 30.018 13.738171 418.171006 -2222.870107 0.000 -0.430050 196.254654 0.000000 1.351 -0.344040 198.725154 -266.772898 ML 2.702 -0.258030 201.195654 -536.882991 d(x) Axial Shear Moment 4.052 -0.172020 203.666154 -810.330280 0.000 -22.380742 -666.598995 -2817.902717 5.403 -0.086010 206.136654 -1087.114764 3.002 -18.408592 -553.108995 -987.220467 6.754 0.000000 208.607154 -1367.236444 6.004 -14.436442 -439.618995 502.783308 8.105 0.086010 211.077654 -1650.695320 9.006 -10.464292 -326.128995 1652.108610 9.456 0.172020 213.548154 -1937.491391 12.007 -6.492142 -212.638995 2460.755438 10.807 0.258030 216.018654 -2227.624658 15.000 -2.532145 -99.496239 2927.811544 12.157 0.344040 218.489154 -2521.095121 18.011 6.489074 158.252886 2622.691885 13.508 0.429529 220.944696 -2817.902718 21.013 10.461224 271.742886 1977.303290
24.015 14.433374 385.232886 991.236221for the neg short as well 27.017 18.405524 498.722886 -335.509321
30.018 22.353367 611.518397 -2002.926959
Cable profileBCL= 30 Beam BC e1*(2b1-2)/a1 +b1= -1.220588 Section 1 2 e= 0.016777778 x^2 +b2=a1= 0.1 2 3 X= e1*(2*(1-b1)/(0.5-a1))a2= 0 -3.775
X/L^2 +e1= -0.34 2 3 e= -0.00419444 x^2 +e3= 0.415e2= -0.34 3 4 X= e1*(2b1-2)/a1L^2
0.016777778e4= -0.189 X +
3 4 e= 1.8642E-05 x^2 +
Equivalent Loads p= -4500
1 2 = -151 M at 1 -1530
2 3 = 37.75
3 4 = -151 M at 4 1530
Cable Zone MB + 483.2 483200177855888 10^6 Ztbc -1100638992 MB - -966.35 -966350
-127939317 10^6 Zbbc 392106185.3-412911123 10^6 Mbs+ 1111.45 1111450392106185 10^6 Mbs- -2222.9 -2222900
1 ML + 2927 2927000-22.5 ML - -3100 -3100000
0-16.5
length(m_ Mb Mbs ML BC (ftt/Pt-1/Ab)*Ztb0 -631.6 -1452.844 -2817.90272 0 e<=3 -203.5 -468.097 -987.220467 3 e<=6 122 280.70525 502.783308 6 e<=9 344.9 793.56312 1652.10861 9 e<=
12 465.3 1070.4766 2460.755438 12 e<=15 483 1111.4457 2927.811544 15 e<=18 398.4 916.47043 2622.691885 18 e<=21 211.08 485.55076 1977.30329 21 e<=24 -78.8 -181.3133 991.236221 24 e<=27 -471.3 -1084.122 -335.509321 27 e<=30 -966.35 -2222.87 -2002.92696 30 e<=
3(fcs/nPt-1/Ab)*Ztb
0 e>= -336.31214143 e>= -336.3121414
0.4535911 6 e>= -336.31214149 e>= -336.3121414
12 e>= -336.312141415 e>= -336.312141418 e>= -336.312141421 e>= -336.312141424 e>= -336.312141427 e>= -336.312141430 e>= -336.3121414
length(m) Mb Mbs ML AB (ftt/Pt-1/Ab)*Ztb0 0 0 0 0 e<=
1.35 30.3 69.718479 -266.772898 1.35 e<=2.7 39.85 91.658529 -536.882991 2.7 e<=
4.05 28.61 65.82015 -810.33028 4.05 e<=5.4 -3.389 -7.796659 -1087.11476 5.4 e<=
6.75 -56.16 -129.1919 -1367.23644 6.75 e<=8.1 -129.7 -298.3656 -1650.69532 8.1 e<=
9.45 -224.02 -515.3177 -1937.49139 9.45 e<=10.8 -339.1 -780.0482 -2227.62466 10.8 e<=
12.15 -474.97 -1092.557 -2521.09512 12.15 e<=13.5 -631.6 -1452.844 -2817.90272 13.5 e<=
3(fcs/nPt-1/Ab)*Ztb
0 e>= -336.31214141.35 e>= -336.3121414
2.7 e>= -336.31214144.05 e>= -336.3121414
5.4 e>= -336.31214146.75 e>= -336.3121414
8.1 e>= -336.31214149.45 e>= -336.312141410.8 e>= -336.3121414
12.15 e>= -336.312141413.5 e>= -336.3121414
d(x) Axial Shear Moment 0.000 -5.979748 -159.698238 -631.598821 3.002 -4.783798 -125.528238 -203.497134
6.004 -3.587848 -91.358238 122.031784 9.006 -2.391898 -57.188238 344.987935 12.007 -1.195948 -23.018238 465.371317 15.009 0.000002 11.151762 483.181931 18.011 1.195952 45.321762 398.419777 21.013 2.391902 79.491762 211.084855 24.015 3.587852 113.661762 -78.822835 27.017 4.783802 147.831762 -471.303294 30.018 5.972434 181.792662 -966.354600
d(x) Axial Shear Moment 0.000 -13.754995 -367.348011 -1452.843645 3.002 -11.003995 -288.748011 -468.097008 6.004 -8.252995 -210.148011 280.705246 9.006 -5.501995 -131.548011 793.563116 12.007 -2.750995 -52.948011 1070.476603 15.009 0.000005 25.651989 1111.445707 18.011 2.751005 104.251989 916.470427 21.013 5.502005 182.851989 485.550764 24.015 8.253005 261.451989 -181.313282 27.017 11.004005 340.051989 -1084.121712 30.018 13.738171 418.171006 -2222.870107
d(x) Axial Shear Moment 0.000 -22.380742 -666.598995 -2817.902717 3.002 -18.408592 -553.108995 -987.220467 6.004 -14.436442 -439.618995 502.783308 9.006 -10.464292 -326.128995 1652.108610 12.007 -6.492142 -212.638995 2460.755438 15.000 -2.532145 -99.496239 2927.811544 18.011 6.489074 158.252886 2622.691885 21.013 10.461224 271.742886 1977.303290 24.015 14.433374 385.232886 991.236221 27.017 18.405524 498.722886 -335.509321 30.018 22.353367 611.518397 -2002.926959
0 2 4 6 8 10 12 14 16
-400
-200
0
200
400
600
800
1000
Bottom LimitTop LimitLimit
e1-0.34
X(-1)/L + X/4 + e1*b10.125833 x + -0.94375 + 0.415
X(-2)L^2 + XL^2 e1-0.001119 x + 0.016777778 + -0.34
Pt= -4500000Ab 455399N 0.76
1(ftt/Pt-1/Ab)*Ztb - Mb/Pt
309.3699 - 140.3555556 = 169.0144 0309.3699 - 45.22222222 = 264.1477 3309.3699 - -27.1111111 = 336.481 6309.3699 - -76.6444444 = 386.0144 9309.3699 - -103.4 = 412.7699 12309.3699 - -107.333333 = 416.7032 15309.3699 - -88.5333333 = 397.9032 18309.3699 - -46.9066667 = 356.2766 21309.3699 - 17.51111111 = 291.8588 24309.3699 - 104.7333333 = 204.6366 27309.3699 - 214.7444444 = 94.62547 30
4- 1/nPt * Mbs+ML*(Ztb/Ztcb) (fts/NPt-1/Ab)- -2.923976608E-07 * -1780399322 = -856.8967 0 e>= -390.5496- -2.923976608E-07 * -582852449 = -506.7368 3 -390.5496- -2.923976608E-07 * 339149253 = -237.1457 6 -390.5496- -2.923976608E-07 * 985605783 = -48.12332 9 -390.5496- -2.923976608E-07 * 1356517142 = 60.3303 12 -390.5496- -2.923976608E-07 * 1451777290 = 88.18414 15 -390.5496- -2.923976608E-07 * 1221334612 = 20.80324 18 -390.5496- -2.923976608E-07 * 715394368 = -127.1325 21 -390.5496- -2.923976608E-07 * -66091046.2 = -355.637 24 -390.5496- -2.923976608E-07 * -1123121633 = -664.7103 27 -390.5496- -2.923976608E-07 * -2455692224 = -1054.351 30 -390.5496
1(ftt/Pt-1/Ab)*Ztb - Mb/Pt
309.3699 - 0 = 309.3699 0309.3699 - -6.73333333 = 316.1032 1.35309.3699 - -8.85555556 = 318.2255 2.7309.3699 - -6.35777778 = 315.7277 4.05309.3699 - 0.753111111 = 308.6168 5.4309.3699 - 12.48 = 296.8899 6.75309.3699 - 28.82222222 = 280.5477 8.1309.3699 - 49.78222222 = 259.5877 9.45309.3699 - 75.35555556 = 234.0144 10.8309.3699 - 105.5488889 = 203.821 12.15309.3699 - 140.3555556 = 169.0144 13.5
4- 1/nPt * Mbs+ML*(Ztb/Ztcb) (fts/NPt-1/Ab)- -2.923976608E-07 * 0 = -336.3121 0 e>= -390.5496- -2.923976608E-07 * 38708545 = -324.9939 1.35 -390.5496- -2.923976608E-07 * 29250742.39 = -327.7593 2.7 -390.5496- -2.923976608E-07 * -28373408.1 = -344.6085 4.05 -390.5496- -2.923976608E-07 * -134163907 = -375.5414 5.4 -390.5496- -2.923976608E-07 * -288120753 = -420.558 6.75 -390.5496- -2.923976608E-07 * -490243948 = -479.6583 8.1 -390.5496- -2.923976608E-07 * -740533491 = -552.8424 9.45 -390.5496- -2.923976608E-07 * -1038989381 = -640.1102 10.8 -390.5496- -2.923976608E-07 * -1385611619 = -741.4617 12.15 -390.5496- -2.923976608E-07 * -1780399322 = -856.8967 13.5 -390.5496
0 2 4 6 8 10 12 14 16
-400
-200
0
200
400
600
800
1000
Bottom LimitTop LimitLimit
diff= -1.034025
2(fct/Pt-1/Ab)*Zbb - Mb/Pt
e<= 498.7299 - 140.35555555556 = 358.3743e<= 498.7299 - 45.222222222222 = 453.5076e<= 498.7299 - -27.11111111111 = 525.841e<= 498.7299 - -76.64444444444 = 575.3743e<= 498.7299 - -103.4 = 602.1299e<= 498.7299 - -107.3333333333 = 606.0632e<= 498.7299 - -88.53333333333 = 587.2632e<= 498.7299 - -46.90666666667 = 545.6365e<= 498.7299 - 17.511111111111 = 481.2187e<= 498.7299 - 104.73333333333 = 393.9965e<= 498.7299 - 214.74444444444 = 283.9854
0 5 10 15 20 25 30 35
-600
-400
-200
0
200
400
600
800
1000
1200
Bottom limitTop LimitLimit
(fts/NPt-1/Ab) - 1/nPt * Mbs+ML*(Zbb/Zbcb)- -2.923976608E-07 * -2731019321.433 = -1189.093- -2.923976608E-07 * -915891454.765 = -658.3541- -2.923976608E-07 * 508763294.60662 = -241.7884- -2.923976608E-07 * 1542944926.5886 = 60.60391- -2.923976608E-07 * 2186653441.7275 = 248.8228- -2.923976608E-07 * 2439475052.4224 = 322.7472- -2.923976608E-07 * 2106100201.6414 = 225.2692- -2.923976608E-07 * 1382437996.8213 = 13.67206- -2.923976608E-07 * 268302675.15794 = -312.0985- -2.923976608E-07 * -1236305763.895 = -752.0425- -2.923976608E-07 * -3131380001.787 = -1306.158
2(fct/Pt-1/Ab)*Zbb - Mb/Pt
e<= 498.7299 - 0 = 498.7299e<= 498.7299 - -6.733333333333 = 505.4632e<= 498.7299 - -8.855555555556 = 507.5854e<= 498.7299 - -6.357777777778 = 505.0876e<= 498.7299 - 0.7531111111111 = 497.9767e<= 498.7299 - 12.48 = 486.2499e<= 498.7299 - 28.822222222222 = 469.9076e<= 498.7299 - 49.782222222222 = 448.9476e<= 498.7299 - 75.355555555556 = 423.3743e<= 498.7299 - 105.54888888889 = 393.181e<= 498.7299 - 140.35555555556 = 358.3743
(fts/NPt-1/Ab) - 1/nPt * Mbs+ML*(Zbb/Zbcb)- -2.923976608E-07 * 0 = -390.5496- -2.923976608E-07 * -51287341.14352 = -405.5459- -2.923976608E-07 * -151866833.3367 = -434.9551- -2.923976608E-07 * -301738477.0331 = -478.7772- -2.923976608E-07 * -500902272.7792 = -537.0122- -2.923976608E-07 * -749358219.0285 = -609.6602- -2.923976608E-07 * -1047106317.781 = -696.721- -2.923976608E-07 * -1394146567.583 = -798.1948- -2.923976608E-07 * -1790478968.889 = -914.0814- -2.923976608E-07 * -2236103521.698 = -1044.381- -2.923976608E-07 * -2731019321.887 = -1189.093
0 2 4 6 8 10 12 14 16
-400
-200
0
200
400
600
800
1000
Bottom LimitTop LimitLimit
diff= 1.034025
Bottom limit Plot data
0 169.0144 -169.01443 264.1477 -264.14776 336.481 -336.4819 386.0144 -386.0144
12 412.7699 -412.769915 416.7032 -416.703218 397.9032 -397.903221 356.2766 -356.276624 291.8588 -291.858827 204.6366 -204.636630 94.62547 -94.62547
0 5 10 15 20 25 30 35
-600
-400
-200
0
200
400
600
800
1000
1200
Bottom limitTop LimitLimit
Top Plot Data beam limit0 -856.8967 856.8967 325 03 -506.7368 506.7368 325 0 325 36 -237.1457 237.1457 237.1457 30 325 69 60.60391 -60.60391 -60.60391 9
12 248.8228 -248.8228 -248.8228 1215 322.7472 -322.7472 -322.7472 1518 225.2692 -225.2692 -225.2692 1821 13.67206 -13.67206 -13.67206 2124 -312.0985 312.0985 312.0985 2427 -664.7103 664.7103 325 2730 -1054.351 1054.351 325 30
Bottom limit Plot data
0 309.3699 -309.36991.35 316.1032 -316.1032
2.7 318.2255 -318.22554.05 315.7277 -315.7277
5.4 308.6168 -308.61686.75 296.8899 -296.8899
8.1 280.5477 -280.54779.45 259.5877 -259.587710.8 234.0144 -234.0144
12.15 203.821 -203.82113.5 169.0144 -169.0144
Top Plot Data beam limit0 -336.3121 336.3121 325 0
1.35 -324.9939 324.9939 324.9939 0 325 1.352.7 -327.7593 327.7593 325 13.5 325 2.7
4.05 -344.6085 344.6085 325 4.055.4 -375.5414 375.5414 325 5.4
6.75 -420.558 420.558 325 6.758.1 -479.6583 479.6583 325 8.1
9.45 -552.8424 552.8424 325 9.4510.8 -640.1102 640.1102 325 10.8
12.15 -741.4617 741.4617 325 12.1513.5 -856.8967 856.8967 325 13.5
0 5 10 15 20 25 30 35
-600
-400
-200
0
200
400
600
800
1000
1200
Bottom limitTop LimitLimit
e Cable profileAB Assume all parobolasL= 13.5 Beam AB e2*(b1-b2)/(a1*L)^2b1= 0 Section 1 2 e12= -0.0083333 x^2b2= -0.9375
6 a1= 0.444444 2 3 X= e2*((1-b1)/(1-a1)*(1-a1-a2))1.5 a2= 0.111111 X= -2.511
X/L^2e1= 0 2 3 e23= -0.0137778 x^2e3= 0.3e2= -0.32 3 4 X= e2*(-(1-b2)/(a2*(1-a1)
10.044e4= -0.196 X/L^2
3 4 e34= 0.05511111 x^2
Equivalent Loads p= -4500
UDL 1 2 = 0.052083 Pe2 75 M at 1 0 75
2 3 = 0.086111 Pe2 124
3 4= -0.344444 Pe2 M at 4 1440 kn/m -496
FEM Mba +ve
Mba= -B1*a1^2 - b2* (3-3a2+a2^2)+a1(2-a2) +Mba= 0 - 0.878906 * 3.51851851852 +
MOMENT DISTRIBUTION
FEM BA 0.3441 pe BC -1.378125 pe
k= 0.222222 0.066667MOM A b b C C dDF 0.769231 0.230769 0.2307692 0.76923076923fem 0.3441 -1.378125 1.378125 -0.34409963349
0.795404 0.238621 -0.238621 -0.79540412809Mom 1.139504 -1.139504 pe 1.1395038 -1.13950376157 pe
Friction losses Assume greased strands running in plastic sleevesu= 0.05K= 0.0025
AB
1 2 e12= -0.008333 x^2 + 0.1 x +2 3 e23= -0.013778 x^2 + 0.1653333 x -0.4963 4 e34= 0.055111 x^2 + -1.488 x + 10.044
1st derivative
e12'= -0.016667 x + 0.1 e'(0)= 0.1e23'= -0.027556 x + 0.1653333 e'(12)= -0.1653333e34'= 0.110222 x + -1.488
deg radTan^-1(e'(0))= 5.71059 0.099669
Øc Tan^-1(e'(12))= -9.7037 -0.169362
P2=P1e^-(ua+Ks)Seg 1 2 Seg 2 3P1=Pj P1=P at 2 0.98021P2=P at 2 P2=P at 3x'= 6 m e= 2.7182818 x'= 6a=|0-ØA| 0.0996686 rad a=|Øc-0| 0.16936
equ Pb=Pj*e^-(ua+kx') equ
P at 2= 0.980215 Pj P at 3=A B
1 2 3 4 5 6 71 0.9802149 0.957479 0.945852 0.9397188 0.93408516202 0.90194138 0.8709
4730 4636.4166 4528.876 4473.878 4418.223 4266.1827 4119.37466145 4068.1294 4119.371 2 3 4 5 6 7 8 71 0.9802149 0.957479 0.945852 0.934085 0.9019414 0.87090373392 0.86006964 0.87090 6 12 13.5 16.5 28.5 40.5 43.5 46.5
ØA
0 10 20 30 40 50 60 70 80 90 1003600
3800
4000
4200
4400
4600
4800
Friction lossAnchorage draw
Average Value of P for Span AB and DE0.909863
Average Value of P for Span BC and DE 0.89175 must include the 17 bla blka bla not complete
Elastic Shortening of concrtet
Tension in sequence therefore
Losses in p0.5*n*fcon=modular ratiofco= stress in concreteat level of of tendon
fco= (fpt/ n+(A/Aps*(1+e^/r^)) -Mbe/Ib r=(Ib/Ab)^0.5
AB length(m) Mb Mbs ML e fco Change=nfco0 0 0 0 0 9.95 28.53
1.35 30.3 69.71848 -266.7729 119.8125 10.53 30.22.7 39.85 91.65853 -536.883 209.25 11.73 33.64
4.05 28.61 65.82015 -810.3303 247.61 12.48 35.795.4 -3.389 -7.796659 -1087.115 295.04 13.64 39.11
6.75 -56.16 -129.1919 -1367.236 292.25 13.72 39.348.1 -129.7 -298.3656 -1650.695 239.24 12.69 36.39
9.45 -224.02 -515.3177 -1937.491 136.01 11.04 31.6610.8 -339.1 -780.0482 -2227.625 -17.44 9.91 28.42
12.15 -474.97 -1092.557 -2521.095 -219.56 10.97 31.4613.5 -631.6 -1452.844 -2817.903 -320 12.27 35.19
AVE= 33.6118182Loss= 2.46240426 2.46fco Change=nfco
BC Mb Mbs e13.5 -631.6 -1452.844 -320 12.27 35.1916.5 -203.5 -468.097 -173 10.88 31.219.5 122 280.7052 84.25 10.15 29.1122.5 344.9 793.5631 268 12.08 34.6425.5 465.3 1070.477 378.25 14.19 40.6928.5 483 1111.446 415 15.13 43.3931.5 398.4 916.4704 378.25 14.44 41.4134.5 211.08 485.5508 268 12.43 35.6437.5 -78.8 -181.3133 84.25 10.32 29.5940.5 -471.3 -1084.122 -173 10.42 29.88
0 10 20 30 40 50 60 70 80 90 1003600
3800
4000
4200
4400
4600
4800
Friction lossAnchorage draw
43.5 -966.35 -2222.87 -320 11.21 32.15AVE= 34.8081818Loss= 2.55004995 2.55
Elastic Short 2.505
Long term losses Assume inland areaes= 0.00025 Ep= 195000
Shrinkage= es*Ep 48.75 N/mm^2 3.57142857143 Shrikage 3.57
Relaxation= Rf*RV*fpi= 51.1875 N/mm^2 Relaxation= 3.75
Rf=1.5 1.5RV=2.5 0.025
Creep
AB length(m) Mb Mbs e Pt fc,cgs= Pt/A0 0 0 0 -4630.87 -10.169
1.35 30.3 69.71848 119.8125 -4625.08 -10.1562.7 39.85 91.65853 209.25 -4613.16 -10.13
4.05 28.61 65.82015 247.61 -4605.71 -10.1145.4 -3.389 -7.796659 295.04 -4594.21 -10.088
6.75 -56.16 -129.1919 292.25 -4593.41 -10.0878.1 -129.7 -298.3656 239.24 -4603.63 -10.109
9.45 -224.02 -515.3177 136.01 -4620.02 -10.14510.8 -339.1 -780.0482 -17.44 -4631.25 -10.17
12.15 -474.97 -1092.557 -219.56 -4620.72 -10.14713.5 -631.6 -1452.844 -320 -4607.79 -10.118
BC 0 Mb Mbs e Pt13.5 -631.6 -1452.844 -320 -4607.79 -10.11816.5 -203.5 -468.097 -173 -4621.62 -10.14919.5 122 280.7052 84.25 -4628.86 -10.16422.5 344.9 793.5631 268 -4609.7 -10.12225.5 465.3 1070.477 378.25 -4588.73 -10.07628.5 483 1111.446 415 -4579.38 -10.05631.5 398.4 916.4704 378.25 -4586.24 -10.07134.5 211.08 485.5508 268 -4606.23 -10.11537.5 -78.8 -181.3133 84.25 -4627.2 -10.16140.5 -471.3 -1084.122 -173 -4626.19 -10.15943.5 -966.35 -2222.87 -320 -4618.33 -10.141
Total Loss by ES+Creep+ Shrink+RelaxES Creep Shirk Relax
AB length(m) fpt tot fse=0 28.53 -71.38511 -48.75 -51.1875 1336.47 -199.85261 1165.15
1.35 30.2 -75.32195 -48.75 -51.1875 1334.8 -205.45945 1159.542.7 33.64 -84.72422 -48.75 -51.1875 1331.36 -218.30172 1146.7
4.05 35.79 -93.52417 -48.75 -51.1875 1329.21 -229.25167 1135.755.4 39.11 -107.6999 -48.75 -51.1875 1325.89 -246.74744 1118.25
6.75 39.34 -110.5381 -48.75 -51.1875 1325.66 -249.81562 1115.188.1 36.39 -100.5707 -48.75 -51.1875 1328.61 -236.89823 1128.1
9.45 31.66 -82.00818 -48.75 -51.1875 1333.34 -213.60568 1151.3910.8 28.42 -70.545 -48.75 -51.1875 1336.58 -198.9025 1166.1
12.15 31.46 -70.04019 -48.75 -51.1875 1333.54 -201.43769 1163.5613.5 35.19 -71.50989 -48.75 -51.1875 1329.81 -206.63739 1158.36
BC0 13.5 35.19 -71.50989 -48.75 -51.1875 1329.81 -206.63739 1158.363 16.5 31.2 -75.22004 -48.75 -51.1875 1333.8 -206.35754 1158.646 19.5 29.11 -71.99276 -48.75 -51.1875 1335.89 -201.04026 11649 22.5 34.64 -79.61412 -48.75 -51.1875 1330.36 -214.19162 1150.81
12 25.5 40.69 -94.71281 -48.75 -51.1875 1324.31 -235.34031 1129.6615 28.5 43.39 -102.714 -48.75 -51.1875 1321.61 -246.04154 111918 31.5 41.41 -100.1073 -48.75 -51.1875 1323.59 -241.45485 1123.5521 34.5 35.64 -87.38745 -48.75 -51.1875 1329.36 -222.96495 114224 37.5 29.59 -74.66649 -48.75 -51.1875 1335.41 -204.19399 1160.8127 40.5 29.88 -67.90731 -48.75 -51.1875 1335.12 -197.72481 1167.2830 43.5 32.15 -54.65447 -48.75 -51.1875 1332.85 -186.74197 1178.26
A Just at Transfer B & C Just after TransferPJ= 4729.725AB length(m) Fr %Loss Pj' fps Fr+An P
0 1 4729.725 1365 0 0.883 4176.351.35 0.995548 4708.67 1358.924 1.35 0.886825 4194.44
2.7 0.991097 4687.615 1352.847 2.7 0.89065 4212.534.05 0.986645 4666.56 1346.771 4.05 0.894475 4230.62
5.4 0.982193 4645.505 1340.694 5.4 0.8983 4248.716.75 0.977313 4622.422 1334.032 6.75 0.90275 4269.76
8.1 0.97209 4597.717 1326.902 8.1 0.9077 4293.179.45 0.966866 4573.012 1319.773 9.45 0.91265 4316.5810.8 0.961643 4548.307 1312.643 10.8 0.9176 4340
12.15 0.9559 4521.144 1304.803 12.15 0.9232 4366.4813.5 0.946 4474.32 1291.29 13.5 0.934 4417.56
BC 00 13.5 0.946 4474.32 1291.29 13.5 0.934 4417.563 16.5 0.934 4417.563 1274.91 16.5 0.934 4417.56
6 19.5 0.926 4379.725 1263.99 19.5 0.926 4379.739 22.5 0.918 4341.888 1253.07 22.5 0.918 4341.89
12 25.5 0.91 4304.05 1242.15 25.5 0.91 430415 28.5 0.902 4266.212 1231.23 28.5 0.902 4266.2118 31.5 0.89425 4229.557 1220.651 31.5 0.89425 4229.5621 34.5 0.8865 4192.901 1210.073 34.5 0.8865 4192.924 37.5 0.87875 4156.246 1199.494 37.5 0.87875 4156.2527 40.5 0.871 4119.59 1188.915 40.5 0.871 4119.5930 43.5 0.86007 4067.893 1173.995 43.5 0.86 4067.56
+ e2*(2(b2-b1)/(a1*L)) + e2*b1+ 0.1 x + 0
e2*((1-b1)/(1-a1)*(1-a1-a2))
+ (-2Xa1/L) + X*a1^2 + e2*b2+ 0.16533 x -0.496 + 0.3
e2*(-(1-b2)/(a2*(1-a1)
+ (-2*X/L) + X + e2+ -1.488 x + 10.044 + -0.32
kN/m
kN/m
kN/m
(1+a1-a2)^- a2(2-a1) = /41.777778 - 0.0617283951 = -0.3441 Pe2
Mba= -0.3441 Pe2
CB 1.37813
+ 0.3 -0.196+ -0.32 9.724
Seg 3 4Pj P1=P at 3 0.957479 Pj
P2= P at 4m x' 1.5 mrad a=|0-Øc| 0.169362 radp at 3= (p at 2)* e^-(ua+kx') equ P at 4= P at 3* e^-(ua+kx')
0.957479 Pj P at 4= 0.945852 PjC D
8 7 6 5 4 30.86007 0.8709 0.901941 0.93408516 0.945852 0.957479
4266.183 4418.22 4473.8781214 4528.88 4636.417 47306 5 4 3 2 1
0.901941 0.93409 0.9458516113 0.95748 0.980215 158.5 70.5 73.5 75 81 87
0 10 20 30 40 50 60 70 80 90 1003600
3800
4000
4200
4400
4600
4800
Friction lossAnchorage draw
0 - 6
dont deleteBC length(m_ Mb Mbs ML e
pt= -4500 0 0 -631.6 -1452.844 -2817.903 -0.32n= 5.73529 0 3 -203.5 -468.097 -987.2205 -0.173Ab= 455399 0 6 122 280.7052 502.7833 0.08425Aps= 3465 0 9 344.9 793.5631 1652.109 0.268Ib= 1E+11 0 12 465.3 1070.477 2460.755 0.37825fPj 1365 0 15 483 1111.446 2927.812 0.415r= 471.405 0 18 398.4 916.4704 2622.692 0.37825
0 21 211.08 485.5508 1977.303 0.2680 24 -78.8 -181.3133 991.2362 0.08425
fpt= Pt 0 27 -471.3 -1084.122 -335.5093 -0.1731336.47 -4630.9 0 30 -966.35 -2222.87 -2002.927 -0.32
1334.8 -4625.11331.36 -4613.21329.21 -4605.71325.89 -4594.21325.66 -4593.41328.61 -4603.61333.34 -46201336.58 -4631.31333.54 -4620.71329.81 -4607.8
%
1329.81 -4607.81333.8 -4621.6
1335.89 -4628.91330.36 -4609.71324.31 -4588.71321.61 -4579.41323.59 -4586.21329.36 -4606.21335.41 -4627.21335.12 -4626.2
0 10 20 30 40 50 60 70 80 90 1003600
3800
4000
4200
4400
4600
4800
Friction lossAnchorage draw
1332.85 -4618.3
%
%
%
%
+ Pte^2/I + Mbs*e/I = fc,cgs fc,max Pt/A +0 0 -10.168819 -10.169
-0.6561 0.08254 = -10.729623 -10.156-1.9959 0.18952 = -11.936355 -10.13-2.7903 0.16104 = -12.742836 -10.114-3.9518 -0.0227 = -14.062823 -10.088-3.8767 -0.3731 = -14.336362 -10.087-2.6037 -0.7053 = -13.418028 -10.109-0.8445 -0.6926 = -11.682077 -10.145-0.0139 0.13443 = -10.049145 -10.17-2.2011 2.37037 = -9.9772356 -10.147-4.6624 4.59397 = -10.186594 -10.118
-4.6624 4.59397 = -10.186594 -10.118-1.3668 0.80021 = -10.715105 -10.149-0.3247 0.23369 = -10.255379 -10.164-3.2716 2.10153 = -11.292413 -10.122-6.4874 4.00106 = -12.562608 -10.076-7.7933 4.55781 = -13.291265 -10.056-6.4839 3.42544 = -13.129241 -10.071-3.2691 1.28585 = -12.098016 -10.115-0.3245 -0.1509 = -10.636252 -10.161-1.3682 1.85329 = -9.6734058 -10.159-4.6731 7.02884 = -7.7855372 -10.141
P directly after transfer friction anPt Pe= n=fse/fPt Pj % loss fric only Change in Pj4630.869 4037.24 87.18096109 4729.73 4729.725 0 -159.74934625.082 4017.81 86.869983979 4729.73 4708.67 -6.08 -159.74934613.162 3973.31 86.129843394 4729.73 4687.615 -12.15 -159.74934605.713 3935.37 85.445364891 4729.73 4666.56 -18.23 -159.74934594.209 3874.75 84.339768665 4729.73 4645.505 -24.31 -159.74934593.412 3864.11 84.122955799 4729.73 4622.422 -30.97 -135.4224603.634 3908.87 84.908420998 4729.73 4597.717 -38.1 -135.4224620.023 3989.58 86.354142268 4729.73 4573.012 -45.23 -135.422
4631.25 4040.53 87.244871273 4729.73 4548.307 -52.36 -135.4224620.716 4031.74 87.253648617 4729.73 4521.144 -60.2 -90.750724607.792 4013.73 87.10737701 4729.73 4474.32 -73.71 -90.750724611.499 3965 85.977637689
4607.792 4013.73 87.10737701 4729.73 4474.32 -73.71 -89.973754621.617 4014.7 86.867781106 4729.73 4417.563 -90.09 -89.973754628.859 4033.12 87.129908959 4729.73 4379.725 -101.01 -133.854609.697 3987.55 86.503531237 4729.73 4341.888 -111.93 -133.854588.734 3914.27 85.3017566 4729.73 4304.05 -122.85 -133.854579.379 3877.19 84.666312984 4729.73 4266.212 -133.77 -133.854586.239 3893.08 84.886192108 4729.73 4229.557 -144.35 -176.21644606.232 3957.15 85.908636652 4729.73 4192.901 -154.93 -176.21644627.196 4022.19 86.925064924 4729.73 4156.246 -165.51 -176.21644626.191 4044.61 87.428485191 4729.73 4119.59 -176.09 -176.21644618.325 4082.66 88.401397647 4729.73 4067.893 -191 -191.00494609.115 3985.48 86.466040402
Just after Transfer D & E After Long term Losses
ES Lpes P1= Creep Shirk Relax Sum1205.295 28.53 1176.765 4077.49 0 -71.38511 -48.75 -51.188 -171.32261210.516 30.2 1180.316125 4089.8 1.35 -75.32195 -48.75 -51.188 -175.25951215.737 33.64 1182.09725 4096 2.7 -84.72422 -48.75 -51.188 -184.66171220.958 35.79 1185.168375 4106.61 4.05 -93.52417 -48.75 -51.188 -193.4617
1226.18 39.11 1187.0695 4113.2 5.4 -107.6999 -48.75 -51.188 -207.63741232.254 39.34 1192.91375 4133.45 6.75 -110.5381 -48.75 -51.188 -210.47561239.011 36.39 1202.6205 4167.08 8.1 -100.5707 -48.75 -51.188 -200.50821245.767 31.66 1214.10725 4206.88 9.45 -82.00818 -48.75 -51.188 -181.94571252.524 28.42 1224.104 4241.52 10.8 -70.545 -48.75 -51.188 -170.48251260.168 31.46 1228.708 4257.47 12.15 -70.04019 -48.75 -51.188 -169.9777
1274.91 35.19 1239.72 4295.63 13.5 -71.50989 -48.75 -51.188 -171.44740
1274.91 35.19 1239.72 4295.63 13.5 -71.50989 -48.75 -51.188 -171.44741274.91 31.2 1243.71 4309.46 16.5 -75.22004 -48.75 -51.188 -175.1575
1263.99 29.11 1234.88 4278.86 19.5 -71.99276 -48.75 -51.188 -171.93031253.07 34.64 1218.43 4221.86 22.5 -79.61412 -48.75 -51.188 -179.55161242.15 40.69 1201.46 4163.06 25.5 -94.71281 -48.75 -51.188 -194.65031231.23 43.39 1187.84 4115.87 28.5 -102.714 -48.75 -51.188 -202.6515
1220.651 41.41 1179.24125 4086.07 31.5 -100.1073 -48.75 -51.188 -200.04481210.073 35.64 1174.4325 4069.41 34.5 -87.38745 -48.75 -51.188 -187.32491199.494 29.59 1169.90375 4053.72 37.5 -74.66649 -48.75 -51.188 -174.6041188.915 29.88 1159.035 4016.06 40.5 -67.90731 -48.75 -51.188 -167.8448
1173.9 32.15 1141.75 3956.16 43.5 -54.65447 -48.75 -51.188 -154.592
e e AB0 0
ft limit= 1.6970562748 119.8125 119.813209.25 209.25247.61 247.61295.04 295.04292.25 292.25239.24 239.24136.01 136.01-17.44 -17.44
-219.56 -219.56-320 -320
0 BC0 -3200 -173
e 84.25-320 268-173 378.25
84.25 415268 378.25
378.25 268415 84.25
378.25 -173268 -320
84.25-173-320
e Cable profileBCL= 30 Beam BC e1*(2b1-2)/a1L^2b1= -1.2969 Section 1 2 e= 0.01633333b2=
12 a1= 0.1 2 3 X= e1*(2*(1-b1)/(0.5-a1))3 a2= 0 -3.675
X/L^2e1= -0.32 2 3 e= -0.0040833e3= 0.415e2= -0.32 3 4 X= e1*(2b1-2)/a1L^2
0.01633333e4= -0.173 X/L
3 4 e= 1.8148E-05
Equivalent Loads p= -4500
UDL 1 2 = -0.1021 Pe1 M at 1 -1440
2 3 = 0.02552 Pe1
3 4 = -0.1021 Pe1 M at 4 1440
FEM Mbc=Mcb
Mbc= -ve
2*(1-B1)(1-a1)/3Mbc = 1.378125
Mbc = -1.378125 Pe1 Mcb = 1.378125
Friction losses Assume greased strands running in plastic sleevesu= 0.05K= 0.0025
BC
1 2 e= 0.01633 x^2 + -0.322 3 e= -0.0041 x^2 + 0.1225 x +3 4 e= 2E-05 x^2 + -0.001089 x +
1st derivative
0 - 3 e12'= 0.03267 x 3 -- 27 e23'= -0.0082 x + 0.1225 e'(3)= 0.098 27 -- 30 e34'= 4E-05 x + -0.001089
deg radTan^-1(e'(3))= 5.7503003 0.10036
Øc Tan^-1(e'(27))= 5.7503 0.10036Tan^-1(e'(14.648))= 0.37413 0.0375
Seg 1 2 Seg P1=P at 4 0.945851611 P1=P at 2P2=P at 5 P2=P at 3x'= 3 m e= 2.718282 x'=a=|0-ØA| 0.100361674 rad a=|Øc-0|
e^-(ua+kx') equ P at 5= P at 4* e^-(ua+kx')
P at 5= 0.93409 PjE
2 1 Simplified method0.98021 1
u= 0.05 Change Po= 2pLas p=K= 0.0025 Area ABD= pLas^2
p=Anchorage loss= pLas^2/Aps*Ep
Las= (q*Aps*Ep/p) Las=
dp at Las dP at5 dP at 4 dP at 3 dP at 2 dP at 1 P at as=x -1.852045481 -1.852 3 1.5 6 6a 0.062861669 0.06286 0.1693615 0.16936 0.099669 0P 0 0 0 0
0 0 0 00.93961 0.933516 0.92218 0.90079 0.88296760.93961 0.933516 0.92218 0.90079 0.8829676
14.648 13.5 12 6 04444.35 4415.5305 4361.91 4260.736 4176.4366
ØA
0 10 20 30 40 50 60 70 80 90 1003600
3800
4000
4200
4400
4600
4800
Friction lossAnchorage draw
1 2 3 4 5 6 7 80 6 12 13.5 16.5 28.5 40.5 43.5
0.882968 0.90079 0.922179581 0.93352 0.9340852 0.90194 0.870904 0.8600696
dont deleteBC length(mMb Mbs ML e
0 0 -631.6 -1452.84 -2817.903 -0.320 3 -203.5 -468.097 -987.2205 -0.1730 6 122 280.705 502.7833 0.084250 9 344.9 793.563 1652.109 0.2680 12 465.3 1070.48 2460.755 0.378250 15 483 1111.45 2927.812 0.4150 18 398.4 916.47 2622.692 0.378250 21 211.08 485.551 1977.303 0.2680 24 -78.8 -181.313 991.2362 0.084250 27 -471.3 -1084.12 -335.5093 -0.1730 30 -966.35 -2222.87 -2002.927 -0.32
0 10 20 30 40 50 60 70 80 90 1003600
3800
4000
4200
4400
4600
4800
Friction lossAnchorage draw
y= 3 // 2 xy= 1.5 X
when less than 1/3 use 36*10^-6dsfbh if greater. Multiply by factor interpolated between 1 and 1.25 between 1/3 and 1/2
Pte/Zbb + Mb/Zbb = fc,max fc,max/fci Factor F ec=F*fc,gcs0 0 -10.169 0.22597 1 0.000036 -0.0003661
-3.1157 0.17036 = -13.101 0.29114 1 0.000036 -0.0003863-5.4274 0.22406 = -15.333 0.34074 1.011111 3.64E-05 -0.0004345
-6.412 0.16086 = -16.365 0.36366 1.045492 3.764E-05 -0.0004796-7.6212 -0.01905 = -17.729 0.39397 1.090953 3.927E-05 -0.0005523-7.5478 -0.31576 = -17.95 0.39889 1.098338 3.954E-05 -0.0005669-6.1925 -0.72924 = -17.031 0.37846 1.067691 3.844E-05 -0.0005157
-3.533 -1.25956 = -14.938 0.33195 1 0.000036 -0.00042060.45413 -1.9066 = -11.622 0.25827 1 0.000036 -0.0003618
5.7042 -2.67053 = -7.1129 0.15806 1 0.000036 -0.00035928.29038 -3.55119 = -5.3789 0.11953 1 0.000036 -0.0003667
8.29038 -3.55119 = -5.3789 0.11953 1 0.000036 -0.00036674.49544 -1.14418 = -6.7973 0.15105 1 0.000036 -0.0003857-2.1927 0.68595 = -11.671 0.25936 1 0.000036 -0.0003692-6.9461 1.93921 = -15.129 0.3362 1.004306 3.616E-05 -0.0004083
-9.759 2.61616 = -17.219 0.38265 1.073969 3.866E-05 -0.0004857-10.685 2.71568 = -18.025 0.40056 1.100846 3.963E-05 -0.0005267-9.7537 2.24002 = -17.584 0.39077 1.086149 3.91E-05 -0.0005134-6.9408 1.1868 = -15.869 0.35264 1.028958 3.704E-05 -0.0004481-2.1919 -0.44306 = -12.796 0.28435 1 0.000036 -0.00038294.49988 -2.6499 = -8.3086 0.18463 1 0.000036 -0.00034828.30934 -5.43333 = -7.2653 0.16145 1 0.000036 -0.0002803
Losses by friction and anchorage drawin Total change fPt N=fse/fpt Pft=fric adn fft 0.99016 0.87181 4077.337 0.880469250.88297 1176.721 0.9868 0.8687 4071.551 0.88031970.88297 1175.051 0.97874 0.8613 4059.631 0.880010470.88297 1171.611 0.97117 0.85445 4052.181 0.879816380.88297 1169.461 0.95893 0.8434 4040.678 0.879515440.88297 1166.141 0.93694 0.84123 4124.175 0.897845630.90079 1190.238 0.94545 0.84908 4134.397 0.898072450.90079 1193.188 0.96116 0.86354 4150.786 0.898434040.90079 1197.918 0.97081 0.87245 4162.013 0.898680240.90079 1201.158 0.93625 0.87254 4306.265 0.931947510.93352 1242.789 0.93487 0.87107 4293.34 0.931756630.93352 1239.059 0.86 4139.502
0.9
0.93429 0.87107 4296.033 0.93234090.93409 1239.836 0.93151 0.86868 4309.858 0.932543290.93409 1243.826 0.96832 0.8713 4165.069 0.899804610.90194 1202.04 0.9618 0.86504 4145.907 0.899388120.90194 1196.51 0.94893 0.85302 4124.944 0.898928490.90194 1190.46 0.94207 0.84666 4115.588 0.8987220.90194 1187.76 0.97923 0.84886 3975.65 0.86686481
0.8709 1147.374 0.99037 0.85909 3995.643 0.867442680.8709 1153.144 1.00139 0.86925 4016.606 0.868043220.8709 1159.194 1.00722 0.87428 4015.601 0.868014560.8709 1158.904 1.03189 0.88401 3956.493 0.85669435
0.86007 1141.845 0.96563 0.97 0.86 4101.5810.89
fps P21005.44 3483.858 0.73659 x1005.06 3482.521 0.7396 0997.436 3456.114 0.73729 6991.707 3436.264 0.73636 12979.432 3393.732 0.73054 13.5982.438 3404.148 0.73644 14.6481002.11 3472.319 0.75523 16.51032.16 3576.44 0.78208 28.51053.62 3650.798 0.80267 40.51058.73 3668.501 0.81141 43.51068.27 3701.565 0.82729 0.763226307
1068.27 3701.565 0.827291068.55 3702.534 0.83814
1062.95 3683.121 0.840951038.88 3599.714 0.829071006.81 3488.596 0.81054985.188 3413.678 0.80017979.196 3392.916 0.80219987.108 3420.328 0.81574
995.3 3448.714 0.82977991.19 3434.474 0.83369
987.158 3420.503 0.84085 0.824399678
Pe/Ab + Pe*eybc/Ib + MD*ybc/Ib fx M00 7.650122
1.35 7.647187 -1.788411717 -0.298827 5.5599492.7 7.5892 -3.099739004 -0.392866 4.096595
4.05 7.545611 -3.646920176 -0.282118 3.6165735.4 7.452217 -4.291706762 0.033418 3.193928
6.75 7.475089 -4.264170424 0.5537412 3.764668.1 7.624784 -3.560614862 1.278852 5.343021
9.45 7.85342 -2.084938994 2.2087503 7.97723210.8 8.016703 0.272901505 3.343436 11.63304
12.15 8.055574 3.452338669 4.6829093 16.1908213.5 8.128179 5.076996893 6.2271663 19.43234
13.5 8.128179 5.076996893 6.2271663 19.4323416.5 8.130308 2.745470485 2.0063535 12.8821319.5 8.087679 -1.330017838 -1.203156 5.55450522.5 7.904527 -4.134988703 -3.401364 0.36817425.5 7.660525 -5.655892554 -4.588268 -2.58363528.5 7.496016 -6.07214646 -4.763869 -3.3431.5 7.450424 -5.500771067 -3.928168 -1.97851534.5 7.510617 -3.92892822 -2.081164 1.50052637.5 7.57295 -1.245370673 0.7771435 7.10472240.5 7.541681 2.5467008 4.6467534 14.7351443.5 7.511001 4.691497466 9.5276473 21.73015
0000
e1*(2b1-2)/a1L^2 + e1x^2 + -0.32
e1*(2*(1-b1)/(0.5-a1))
+ X(-1)/L + X/4 + e1*b1x^2 + 0.1225 x + -0.91875 + 0.415
e1*(2b1-2)/a1L^2
+ X(-2)/L + X e1x^2 + -0.001089 x + 0.016333 + -0.32
-130.6667
32.666667
-130.6667
Pe1
-0.91875 + 0.415 -0.503750.0163333 + -0.32 -0.303667
e'(15) 0.0375e'(27) -0.098 e'(16.5)= 0.098
2 3 Seg 3 40.9340852 Pj P1=P at 3 0.901941 Pj
P2= P at 412 m x' 12 m
0.1003617 rad a=|0-Øc| 0.100362 radequ p at 6= (p at 5)* e^-(ua+kx') equ P at 4=
P at 6= 0.901941 Pj P at 7= 0.870903733923
Anchrage Seating Loss(Pj-P2)/L
Inital Las = 16.82718.894488 P2=P1e^-(ua+Ks)
Tan^-1(e'(0))=14.647955 0.882968 Ølas Tan^-1(e'(6))=
alas=ØA-Ølas =0.9354752 4424.54
Pas=Pj*e^-(ua+KLas)P1=PasP2=P0x'=Las = Po=Pas*e^-(ua+KLas)
ØA
+ 0.5+ 0.5
if greater. Multiply by factor interpolated between 1 and 1.25 between 1/3 and 1/2
change=ec*Ep-71.38511 5.341318-75.32195 5.518092-84.72422 6.206902-93.52417 6.851587-107.6999 7.890106-110.5381 8.098031-100.5707 7.367819-82.00818 6.007925
-70.545 5.168132-70.04019 5.13115-71.50989 5.23882
6.256353
-71.50989 5.23882-75.22004 5.510625-71.99276 5.274195-79.61412 5.832536-94.71281 6.938667
-102.714 7.524838-100.1073 7.333872-87.38745 6.402011-74.66649 5.470073-67.90731 4.974894-54.65447 4.003991
0.99016480.98680040.97873660.97117270.95893450.93694230.94545180.96116290.97081110.93625070.9348726
0.96
0.93428680.93151470.96832030.96180420.94892710.94207460.97923220.9903667
1.0013911.00722371.0318896
0.97 LOSSES!!!!!!!!!!!!!!
Fr Fr+An mF CF mFA CAF1 0.883 -0.003298 1 0.002833 0.883
0.9802149 0.9 -0.003869 1.00343 0.003667 0.8780.957 0.922 -0.007333 1.045 0.008 0.8260.946 0.934 -0.004 1 0.004355 0.8752020905920.939 0.939 4441.212 -0.0027 0.9785464362850.934 0.934 -0.002667 0.978 -0.002667 0.9780.902 0.902 -0.002583 0.975625 -0.002583 0.9756250.871 0.871 -0.003667 1.0195 -0.003667 1.0195
0.86 0.86
Qc 56900000000Ic 393189416302.9
tl VL Shear from Live tl=VlQc/Icb0 201.1 0.029102
1.35 201.1 0.0291022.7 201.1 0.029102
4.05 201.1 0.0291025.4 201.1 0.029102
6.75 201.1 0.0291028.1 201.1 0.029102
9.45 201.1 0.02910210.8 201.1 0.029102
12.15 201.1 0.02910213.5 201.1 0.02910213.5 -640.94 -0.09275316.5 -424.94 -0.06149519.5 -316.9 -0.0458622.5 -208.9 -0.03023125.5 -101.2 -0.01464528.5 42.97 0.00621831.5 150.97 0.02184734.5 258.9 0.03746637.5 366.9 0.05309640.5 474.9 0.06872543.5 582.3 0.08426743.5 -214.6 -0.03105646.5 -166.1 -0.02403749.5 -117.5 -0.01700452.5 -68 -0.00984155.5 -20 -0.00289458.5 28.3 0.00409561.5 76.9 0.01112964.5 125.5 0.01816267.5 174.1 0.02519570.5 222.7 0.03222873.5 271.1 0.039232
73.5 -74.3 -0.01075274.85 -74.3 -0.010752
76.2 -74.3 -0.01075277.55 -74.3 -0.010752
78.9 -74.3 -0.01075280.25 -74.3 -0.010752
81.6 -74.3 -0.01075282.95 -74.3 -0.010752
84.3 -74.3 -0.01075285.65 -74.3 -0.010752
87 -74.3 -0.0107520 0
Seg 3 4P1=P at 3 0.870904 PjP2= P at 4x' 3 ma=|0-Øc| 0.100362 rad
P at 3* e^-(ua+kx') equ P at 4= P at 3* e^-(ua+kx')
Pj P at 7= 0.86007 Pj
Ep= 195000 Gpam p= 4729.725
.deg rad
5.71059 0.099669 3 4-0.85937 -0.014999 e'(Las) -0.0149210.114667
Pas=Pj*e^-(ua+KLas) PaS= 4508.958Pas-Po= 210.4619
Po=Pas*e^-(ua+KLas) Po= 4298.497
1 2 3 4 5 6 7 8
0 6 12 13.5 16.5 28.5 40.5 43.5 Fr and Dr0.882968 0.90079 0.92218 0.933516 0.934085 0.901941 0.870904 0.86007
1 2 3 4 5 6 7 8 FR0 6 12 13.5 16.5 28.5 40.5 43.51 0.980215 0.957479 0.945852 0.934085 0.901941 0.870904 0.86007
0.939608 0.933516 0.92218 0.90079 0.88296814.64 13.5 12 6 0
201.0949
d(x) Axial Shear Moment 0.000 0.000000 201.094868 0.000000 0.675 0.000000 201.094868 -135.821274 1.351 0.000000 201.094868 -271.642547 2.026 0.000000 201.094868 -407.463821 2.702 0.000000 201.094868 -543.285094 3.377 0.000000 201.094868 -679.106368 4.052 0.000000 201.094868 -814.927641 4.728 0.000000 201.094868 -950.748915 5.403 0.000000 201.094868 -1086.570188 6.079 0.000000 201.094868 -1222.391462 6.754 0.000000 201.094868 -1358.212736 7.429 0.000000 201.094868 -1494.034009 8.105 0.000000 201.094868 -1629.855283 8.780 0.000000 201.094868 -1765.676556 9.456 0.000000 201.094868 -1901.497830 10.131 0.000000 201.094868 -2037.319103 10.807 0.000000 201.094868 -2173.140377 11.482 0.000000 201.094868 -2308.961650 12.157 0.000000 201.094868 -2444.782924 12.833 0.000000 201.094868 -2580.604197 13.508 0.000000 201.094868 -2716.425471 Memb: 1 d(x) X Y phi 0.000 0.000000 0.000000 -0.611566 1.501 -0.000015 -1.053218 -0.780339 3.002 -0.000029 -2.309375 -0.883001 4.503 -0.000042 -3.673809 -0.925633 6.004 -0.000053 -5.060986 -0.914319 7.505 -0.000063 -6.394498 -0.855140 9.006 -0.000071 -7.607072 -0.754179 10.506 -0.000078 -8.640560 -0.617519 12.007 -0.000083 -9.445945 -0.451241 13.508 -0.000087 -9.983338 -0.261429 15.000 -0.000090 -10.221477 -0.055474 15.000 -0.000090 -10.221477 -0.055474 15.009 -0.000090 -10.221981 -0.054165 16.510 -0.000087 -10.144374 0.156265 18.011 -0.000083 -9.758365 0.355772
19.512 -0.000078 -9.084912 0.538274 21.013 -0.000071 -8.154105 0.697689 22.514 -0.000063 -7.005159 0.827933 24.015 -0.000053 -5.686421 0.922926 25.516 -0.000042 -4.255367 0.976583 27.017 -0.000029 -2.778601 0.982823 28.517 -0.000015 -1.331857 0.935564 30.018 0.000000 0.000000 0.828722 d(x) Axial Shear Moment 0.000 -21.419992 -640.940718 -2716.425470 1.501 -19.529992 -586.940718 -1794.950507 3.002 -17.639992 -532.940718 -954.525142 4.503 -15.749992 -478.940718 -195.149374 6.004 -13.859992 -424.940718 483.176797 7.505 -11.969992 -370.940718 1080.453370 9.006 -10.079992 -316.940718 1596.680347 10.506 -8.189992 -262.940718 2031.857725 12.007 -6.299992 -208.940718 2385.985507 13.508 -4.409992 -154.940718 2659.063691 15.000 -2.531558 -101.271165 2850.163651 15.000 2.505358 42.640716 2850.163651 15.009 2.516924 42.971163 2849.770492 16.510 4.406924 96.971163 2744.749482 18.011 6.296924 150.971163 2558.678874 19.512 8.186924 204.971163 2291.558669 21.013 10.076924 258.971163 1943.388867 22.514 11.966924 312.971163 1514.169467 24.015 13.856924 366.971163 1003.900470 25.516 15.746924 420.971163 412.581875 27.017 17.636924 474.971163 -259.786316 28.517 19.526924 528.971163 -1013.204105 30.018 21.393793 582.310270 -1847.665421 Memb: 2 d(x) X Y phi 0.000 0.000000 0.000000 0.828722 1.501 0.000000 1.141867 0.694248 3.002 0.000000 2.088182 0.568142 4.503 0.000000 2.851502 0.450403 6.004 0.000000 3.444389 0.341033 7.505 0.000000 3.879402 0.240030 9.005 0.000000 4.169099 0.147395 10.506 0.000000 4.326040 0.063128 12.007 0.000000 4.362784 -0.012771 13.508 0.000000 4.291891 -0.080302 15.009 0.000000 4.125921 -0.139465 16.510 0.000000 3.877432 -0.190260 18.011 0.000000 3.558984 -0.232688 19.512 0.000000 3.183137 -0.266747
21.013 0.000000 2.762449 -0.292439 22.514 0.000000 2.309480 -0.309762 24.014 0.000000 1.836789 -0.318718 25.515 0.000000 1.356937 -0.319306 27.016 0.000000 0.882482 -0.311526 28.517 0.000000 0.425983 -0.295379 30.018 0.000000 0.000000 -0.270863 d(x) Axial Shear Moment 0.000 0.000000 -74.291959 -1847.665421 1.501 0.000000 -74.291959 -1736.160540 3.002 0.000000 -74.291959 -1624.655660 4.503 0.000000 -74.291959 -1513.150779 6.004 0.000000 -74.291959 -1401.645899 7.505 0.000000 -74.291959 -1290.141018 9.005 0.000000 -74.291959 -1178.636138 10.506 0.000000 -74.291959 -1067.131258 12.007 0.000000 -74.291959 -955.626377 13.508 0.000000 -74.291959 -844.121497 15.009 0.000000 -74.291959 -732.616616 16.510 0.000000 -74.291959 -621.111736 18.011 0.000000 -74.291959 -509.606855 19.512 0.000000 -74.291959 -398.101975 21.013 0.000000 -74.291959 -286.597095 22.514 0.000000 -74.291959 -175.092214 24.014 0.000000 -74.291959 -63.587334 25.515 0.000000 -74.291959 47.917547 27.016 0.000000 -74.291959 159.422427 28.517 0.000000 -74.291959 270.927308 30.018 0.000000 -74.291959 382.432188 Memb: 3 d(x) X Y phi 0.000 0.000000 0.000000 -0.270863 0.675 -0.000003 -0.178051 -0.255591 1.351 -0.000005 -0.344289 -0.235977 2.026 -0.000007 -0.495968 -0.212575 2.702 -0.000009 -0.630718 -0.185938 3.377 -0.000011 -0.746539 -0.156621 4.053 -0.000012 -0.841811 -0.125178 4.728 -0.000013 -0.915283 -0.092164 5.403 -0.000014 -0.966082 -0.058133 6.079 -0.000014 -0.993708 -0.023640 6.754 -0.000015 -0.998036 0.010763 7.430 -0.000014 -0.979315 0.044519 8.105 -0.000014 -0.938168 0.077076 8.781 -0.000013 -0.875592 0.107878 9.456 -0.000012 -0.792960 0.136371 10.131 -0.000011 -0.692019 0.162002 10.807 -0.000009 -0.574888 0.184216
11.482 -0.000007 -0.444065 0.202458 12.158 -0.000005 -0.302417 0.216174 12.833 -0.000003 -0.153189 0.224810 13.509 0.000000 0.000000 0.227812 d(x) Axial Shear Moment 0.000 -8.639997 -214.689482 382.432188 0.675 -7.775997 -190.389482 519.232728 1.351 -6.911997 -166.089482 639.620404 2.026 -6.047997 -141.789482 743.595214 2.702 -5.183997 -117.489482 831.157160 3.377 -4.319997 -93.189482 902.306241 4.053 -3.455997 -68.889482 957.042457 4.728 -2.591997 -44.589482 995.365809 5.403 -1.727997 -20.289482 1017.276296 6.079 -0.863997 4.010518 1022.773918 6.754 0.000003 28.310518 1011.858676 7.430 0.864003 52.610518 984.530568 8.105 1.728003 76.910518 940.789596 8.781 2.592003 101.210518 880.635760 9.456 3.456003 125.510518 804.069058 10.131 4.320003 149.810518 711.089492 10.807 5.184003 174.110518 601.697061 11.482 6.048003 198.410518 475.891766 12.158 6.912003 222.710518 333.673605 12.833 7.776003 247.010518 175.042580 13.509 8.629091 271.003609 0.000000
x q m0
0.6751.351
End Zone Details
LinPro 2.7.5File: C:\Users\CHRIS\Documents\linpro\Prestressed concrete project.alnUnits: kN-m ____________________________________________________________________________Load Case: CASE1 Displacements of joints in global CS Joint X Y phi 0 0.000000 0.000000 0.305783 1 0.000000 0.000000 -0.611566 2 0.000000 0.000000 0.828722 3 0.000000 0.000000 -0.270863 4 0.000000 0.000000 0.227812 Reactions in global CS Joint Rx Ry M 0 6.996842 -200.973108 0.000000 1 -8.009155 842.270851 0.000000 2 -1.561595 656.949615 0.000000 3 3.579865 140.613554 0.000000 4 -1.005957 271.139088 0.000000 Displacements (global CS) and forces (local CS) on members ends Memb: 0 Joint X Y phi 0 0.000000 0.000000 0.305783 1 0.000000 0.000000 -0.611566 Axial Shear Moment 0 0.000000 201.094868 0.000000 1 0.000000 201.094868 -2716.425471 Displacements and forces along members in local CS Memb: 0 d(x) X Y phi 0.000 0.000000 0.000000 0.305783 1.351 0.000000 0.408927 0.296610 2.702 0.000000 0.793070 0.269089 4.052 0.000000 1.127646 0.223222 5.403 0.000000 1.387872 0.159007 6.754 0.000000 1.548964 0.076446 8.105 0.000000 1.586140 -0.024463 9.456 0.000000 1.474614 -0.143718 10.807 0.000000 1.189605 -0.281320 12.157 0.000000 0.706328 -0.437270 13.508 0.000000 0.000000 -0.611566 d(x) Axial Shear Moment
0 10 20 30 40 50 60 70 80 90 100
-4000
-3000
-2000
-1000
0
1000
2000
3000
4000
momQ
0.000 0.000000 201.094868 0.000000 1.351 0.000000 201.094868 -271.642547 2.702 0.000000 201.094868 -543.285094 4.052 0.000000 201.094868 -814.927641 5.403 0.000000 201.094868 -1086.570188 6.754 0.000000 201.094868 -1358.212736 8.105 0.000000 201.094868 -1629.855283 9.456 0.000000 201.094868 -1901.497830 10.807 0.000000 201.094868 -2173.140377 12.157 0.000000 201.094868 -2444.782924 13.508 0.000000 201.094868 -2716.425471 Memb: 1 d(x) X Y phi 0.000 0.000000 0.000000 -0.611566 3.002 -0.000029 -2.309375 -0.883001 6.004 -0.000053 -5.060986 -0.914319 9.006 -0.000071 -7.607072 -0.754179 12.007 -0.000083 -9.445945 -0.451241 15.000 -0.000090 -10.221477 -0.055474 15.000 -0.000090 -10.221477 -0.055474 15.009 -0.000090 -10.221981 -0.054165 18.011 -0.000083 -9.758365 0.355772 21.013 -0.000071 -8.154105 0.697689 24.015 -0.000053 -5.686421 0.922926 27.017 -0.000029 -2.778601 0.982823 30.018 0.000000 0.000000 0.828722 d(x) Axial Shear Moment 0.000 -21.419992 -640.940718 -2716.425470 3.002 -17.639992 -532.940718 -954.525142 6.004 -13.859992 -424.940718 483.176797 9.006 -10.079992 -316.940718 1596.680347 12.007 -6.299992 -208.940718 2385.985507 15.000 -2.531558 -101.271165 2850.163651 15.000 2.505358 42.640716 2850.163651 15.009 2.516924 42.971163 2849.770492 18.011 6.296924 150.971163 2558.678874 21.013 10.076924 258.971163 1943.388867 24.015 13.856924 366.971163 1003.900470 27.017 17.636924 474.971163 -259.786316 30.018 21.393793 582.310270 -1847.665421 Memb: 2 d(x) X Y phi 0.000 0.000000 0.000000 0.828722 3.002 0.000000 2.088182 0.568142 6.004 0.000000 3.444389 0.341033 9.005 0.000000 4.169099 0.147395 12.007 0.000000 4.362784 -0.012771 15.009 0.000000 4.125921 -0.139465
18.011 0.000000 3.558984 -0.232688 21.013 0.000000 2.762449 -0.292439 24.014 0.000000 1.836789 -0.318718 27.016 0.000000 0.882482 -0.311526 30.018 0.000000 0.000000 -0.270863 d(x) Axial Shear Moment 0.000 0.000000 -74.291959 -1847.665421 3.002 0.000000 -74.291959 -1624.655660 6.004 0.000000 -74.291959 -1401.645899 9.005 0.000000 -74.291959 -1178.636138 12.007 0.000000 -74.291959 -955.626377 15.009 0.000000 -74.291959 -732.616616 18.011 0.000000 -74.291959 -509.606855 21.013 0.000000 -74.291959 -286.597095 24.014 0.000000 -74.291959 -63.587334 27.016 0.000000 -74.291959 159.422427 30.018 0.000000 -74.291959 382.432188 Memb: 3 d(x) X Y phi 0.000 0.000000 0.000000 -0.270863 1.351 -0.000005 -0.344289 -0.235977 2.702 -0.000009 -0.630718 -0.185938 4.053 -0.000012 -0.841811 -0.125178 5.403 -0.000014 -0.966082 -0.058133 6.754 -0.000015 -0.998036 0.010763 8.105 -0.000014 -0.938168 0.077076 9.456 -0.000012 -0.792960 0.136371 10.807 -0.000009 -0.574888 0.184216 12.158 -0.000005 -0.302417 0.216174 13.509 0.000000 0.000000 0.227812 d(x) Axial Shear Moment 0.000 -8.639997 -214.689482 382.432188 1.351 -6.911997 -166.089482 639.620404 2.702 -5.183997 -117.489482 831.157160 4.053 -3.455997 -68.889482 957.042457 5.403 -1.727997 -20.289482 1017.276296 6.754 0.000003 28.310518 1011.858676 8.105 1.728003 76.910518 940.789596 9.456 3.456003 125.510518 804.069058 10.807 5.184003 174.110518 601.697061 12.158 6.912003 222.710518 333.673605 13.509 8.629091 271.003609 0.000000 ____________________________________________________________________________Load Case: CASE2 Displacements of joints in global CS
Joint X Y phi 0 0.000000 0.000000 0.000000 1 0.000000 0.000000 0.000000 2 0.000000 0.000000 0.000000 3 0.000000 0.000000 0.000000 4 0.000000 0.000000 0.000000 Reactions in global CS Joint Rx Ry M 0 0.000000 0.000000 0.000000 1 0.000000 0.000000 0.000000 2 0.000000 0.000000 0.000000 3 0.000000 0.000000 0.000000 4 0.000000 0.000000 0.000000 Displacements (global CS) and forces (local CS) on members ends Memb: 0 Joint X Y phi 0 0.000000 0.000000 0.000000 1 0.000000 0.000000 0.000000 Axial Shear Moment 0 0.000000 0.000000 0.000000 1 0.000000 0.000000 0.000000 Displacements and forces along members in local CS Memb: 0 d(x) X Y phi 0.000 0.000000 0.000000 0.000000 1.351 0.000000 0.000000 0.000000 2.702 0.000000 0.000000 0.000000 4.052 0.000000 0.000000 0.000000 5.403 0.000000 0.000000 0.000000 6.754 0.000000 0.000000 0.000000 8.105 0.000000 0.000000 0.000000 9.456 0.000000 0.000000 0.000000 10.807 0.000000 0.000000 0.000000 12.157 0.000000 0.000000 0.000000 13.508 0.000000 0.000000 0.000000 d(x) Axial Shear Moment 0.000 0.000000 0.000000 0.000000 1.351 0.000000 0.000000 0.000000 2.702 0.000000 0.000000 0.000000 4.052 0.000000 0.000000 0.000000 5.403 0.000000 0.000000 0.000000 6.754 0.000000 0.000000 0.000000 8.105 0.000000 0.000000 0.000000 9.456 0.000000 0.000000 0.000000 10.807 0.000000 0.000000 0.000000
12.157 0.000000 0.000000 0.000000 13.508 0.000000 0.000000 0.000000 Memb: 1 d(x) X Y phi 0.000 0.000000 0.000000 0.000000 3.002 0.000000 0.000000 0.000000 6.004 0.000000 0.000000 0.000000 9.006 0.000000 0.000000 0.000000 12.007 0.000000 0.000000 0.000000 15.000 0.000000 0.000000 0.000000 15.000 0.000000 0.000000 0.000000 15.009 0.000000 0.000000 0.000000 18.011 0.000000 0.000000 0.000000 21.013 0.000000 0.000000 0.000000 24.015 0.000000 0.000000 0.000000 27.017 0.000000 0.000000 0.000000 30.018 0.000000 0.000000 0.000000 d(x) Axial Shear Moment 0.000 0.000000 0.000000 0.000000 3.002 0.000000 0.000000 0.000000 6.004 0.000000 0.000000 0.000000 9.006 0.000000 0.000000 0.000000 12.007 0.000000 0.000000 0.000000 15.000 0.000000 0.000000 0.000000 15.000 0.000000 0.000000 0.000000 15.009 0.000000 0.000000 0.000000 18.011 0.000000 0.000000 0.000000 21.013 0.000000 0.000000 0.000000 24.015 0.000000 0.000000 0.000000 27.017 0.000000 0.000000 0.000000 30.018 0.000000 0.000000 0.000000 Memb: 2 d(x) X Y phi 0.000 0.000000 0.000000 0.000000 3.002 0.000000 0.000000 0.000000 6.004 0.000000 0.000000 0.000000 9.005 0.000000 0.000000 0.000000 12.007 0.000000 0.000000 0.000000 15.009 0.000000 0.000000 0.000000 18.011 0.000000 0.000000 0.000000 21.013 0.000000 0.000000 0.000000 24.014 0.000000 0.000000 0.000000 27.016 0.000000 0.000000 0.000000 30.018 0.000000 0.000000 0.000000 d(x) Axial Shear Moment 0.000 0.000000 0.000000 0.000000 3.002 0.000000 0.000000 0.000000 6.004 0.000000 0.000000 0.000000
9.005 0.000000 0.000000 0.000000 12.007 0.000000 0.000000 0.000000 15.009 0.000000 0.000000 0.000000 18.011 0.000000 0.000000 0.000000 21.013 0.000000 0.000000 0.000000 24.014 0.000000 0.000000 0.000000 27.016 0.000000 0.000000 0.000000 30.018 0.000000 0.000000 0.000000 Memb: 3 d(x) X Y phi 0.000 0.000000 0.000000 0.000000 1.351 0.000000 0.000000 0.000000 2.702 0.000000 0.000000 0.000000 4.053 0.000000 0.000000 0.000000 5.403 0.000000 0.000000 0.000000 6.754 0.000000 0.000000 0.000000 8.105 0.000000 0.000000 0.000000 9.456 0.000000 0.000000 0.000000 10.807 0.000000 0.000000 0.000000 12.158 0.000000 0.000000 0.000000 13.509 0.000000 0.000000 0.000000 d(x) Axial Shear Moment 0.000 0.000000 0.000000 0.000000 1.351 0.000000 0.000000 0.000000 2.702 0.000000 0.000000 0.000000 4.053 0.000000 0.000000 0.000000 5.403 0.000000 0.000000 0.000000 6.754 0.000000 0.000000 0.000000 8.105 0.000000 0.000000 0.000000 9.456 0.000000 0.000000 0.000000 10.807 0.000000 0.000000 0.000000 12.158 0.000000 0.000000 0.000000 13.509 0.000000 0.000000 0.000000
Shear Mom
0 10 20 30 40 50 60 70 80 90 100
-4000
-3000
-2000
-1000
0
1000
2000
3000
4000
momQ
0 201.1 01.35 201.1 -266.7729
2.7 201.1 -536.8834.05 201.1 -810.3303
5.4 201.1 -1087.1156.75 201.1 -1367.236
8.1 201.1 -1650.6959.45 201.1 -1937.491 fc,cgs= Pt/A + Pte^2/I +10.8 201.1 -2227.625 -10.16882 0
12.15 201.1 -2521.095 -10.1561 -0.65605913.5 201.1 -2817.903 -10.12993 -1.99594713.5 -640.94 -2817.903 -10.11357 -2.7903116.5 -424.94 -987.2205 -10.08832 -3.95177419.5 -316.9 502.7833 -10.08656 -3.87671422.5 -208.9 1652.109 -10.109 -2.60367925.5 -101.2 2460.755 -10.14499 -0.8445128.5 42.97 2927.812 -10.16965 -0.01391931.5 150.97 2622.692 -10.14653 -2.20107934.5 258.9 1977.303 -10.11814 -4.66242837.5 366.9 991.236240.5 474.9 -335.509343.5 582.3 -2002.92743.5 -214.6 382.446.5 -166.1 639.6 -10.11814 -4.66242849.5 -117.5 832.1 -10.14851 -1.36680352.5 -68 957.04 -10.16441 -0.32466355.5 -20 1017 -10.12233 -3.27161258.5 28.3 1011 -10.07628 -6.48738861.5 76.9 940.7 -10.05575 -7.79331764.5 125.5 804 -10.07082 -6.48386867.5 174.1 607.9 -10.11471 -3.26914970.5 222.7 333.67 -10.16076 -0.32454773.5 271.1 0 -10.15854 -1.36815573.5 -74.3 -1847 -10.14128 -4.673093
74.85 -74.3 -162476.2 -74.3 1401
77.55 -74.3 117878.9 -74.3 955
80.25 -74.3 73281.6 -74.3 509
82.95 -74.3 28684.3 -74.3 63
85.65 -74.3 15987 -74.3 382
AB
fc,cgs-10.16882-10.81216-12.12588-12.90388-14.04009-13.96328-12.71268
-10.9895-10.18357-12.34761-14.78057
-14.78057-11.51531-10.48907-13.39394-16.56367-17.84907-16.55468-13.38386-10.48531
-11.5267-14.81438
prestressed CON in situ Pre SteelE 34 Gpa E 28 Gpa E 195 Gpafci 45 Mpa fcu 30 Mpa fpu 1820 Mpafcu 50 Mpa Aps= 3465 mm^2
intial guessp= -4500 kN fps= 0.7fpu
1274
ABMid Span AB AB+ MB + 39.85 4.8E+07 mide 300 MB - -631.59 -8E+08
Mbs+ 91.67 1.1E+08 midMbs- -1452.84 -2E+09
ML + 950 1.5E+09 midML - -3100 -5E+09
M+ 1041.67 1630 midM- -7E+09 end
Assmue Z= 1500h= 1955fse 970nh M+/fps*z Ac'= -Apsfps/0.45*fcu
0.0008529587 mm^2 0.048296 mm^2
Zbb 1.78E+08Ztb -1.28E+08Ztc -4E+08Zbc 3.79E+08
BC
MB + 483.2 579840MB - -966.35 -1159620
Mbs+ 1111.45 1333740Mbs- -2222.9 -2667480
ML + 2927 4683200ML - -3100 -4960000
6016.94
LinPro 2.7.5 SecondaryFile: Units: kN-m ____________________________________________________________________________Load Case: CASE1 Displacements of joints in global CS Joint X Y phi 0 0.000000 0.000000 -0.879534 1 0.000000 0.000000 0.880782 Reactions in global CS Joint Rx Ry M 0 0.000000 32.094126 0.000000 1 0.000000 32.185874 0.000000 Displacements (global CS) and forces (local CS) on members ends Memb: 0 Joint X Y phi 0 0.000000 0.000000 -0.879534 1 0.000000 0.000000 0.880782 Axial Shear Moment 0 -1.120766 -32.074551 0.000000 1 1.123970 32.166243 0.000000 Displacements and forces along members in local CS Memb: 0 d(x) X Y phi 0.000 0.000000 0.000000 -0.879534 4.353 -0.000002 -3.806265 -0.864342 8.705 -0.000005 -7.480281 -0.818767 13.058 -0.000007 -10.889798 -0.742808 13.500 -0.000008 -11.216077 -0.733394 13.500 -0.000008 -11.216077 -0.733394 17.411 -0.000008 -13.916723 -0.647324 21.763 -0.000008 -16.519887 -0.548223 26.116 -0.000008 -18.684131 -0.445645 30.469 -0.000009 -20.394314 -0.339587 34.821 -0.000009 -21.635297 -0.230052 39.174 -0.000009 -22.391940 -0.117038 43.500 -0.000009 -22.649079 -0.001267 43.500 -0.000009 -22.649079 -0.001267 43.527 -0.000009 -22.649103 -0.000546 47.879 -0.000009 -22.396717 0.115951 52.232 -0.000009 -21.644628 0.229062 56.585 -0.000009 -20.407571 0.338788
60.937 -0.000008 -18.700282 0.445129 65.290 -0.000008 -16.537495 0.548085 69.642 -0.000008 -13.933945 0.647655 73.500 -0.000008 -11.270002 0.733069 73.500 -0.000008 -11.270002 0.733069 73.995 -0.000007 -10.904397 0.743665 78.348 -0.000005 -7.490643 0.819841 82.700 -0.000002 -3.811635 0.865547 87.053 0.000000 0.000000 0.880782 d(x) Axial Shear Moment 0.000 -1.120766 -32.074551 0.000000 4.353 -1.120766 -32.074551 139.609448 8.705 -1.120766 -32.074551 279.218896 13.058 -1.120766 -32.074551 418.828343 13.500 -1.120766 -32.074551 433.006434 13.500 -0.128305 -3.671885 433.006434 17.411 -0.128305 -3.671885 447.365779 21.763 -0.128305 -3.671885 463.348226 26.116 -0.128305 -3.671885 479.330674 30.469 -0.128305 -3.671885 495.313122 34.821 -0.128305 -3.671885 511.295570 39.174 -0.128305 -3.671885 527.278017 43.500 -0.128305 -3.671885 543.162983 43.500 0.124874 3.573693 543.162983 43.527 0.124874 3.573693 543.068108 47.879 0.124874 3.573693 527.513056 52.232 0.124874 3.573693 511.958004 56.585 0.124874 3.573693 496.402951 60.937 0.124874 3.573693 480.847899 65.290 0.124874 3.573693 465.292847 69.642 0.124874 3.573693 449.737795 73.500 0.124874 3.573693 435.952192 73.500 1.123970 32.166243 435.952192 73.995 1.123970 32.166243 420.025657 78.348 1.123970 32.166243 280.017104 82.700 1.123970 32.166243 140.008552 87.053 1.123970 32.166243 0.000000
LinPro 2.7.5File: Units: kN-m ____________________________________________________________________________Load Case: CASE1 Displacements of joints in global CS Joint X Y phi 0 0.000000 0.000000 0.989686 1 0.000000 0.000000 -1.031931 Reactions in global CS Joint Rx Ry M 0 0.000000 -446.238703 0.000000 1 0.000000 -447.761197 0.000000 Displacements (global CS) and forces (local CS) on members ends Memb: 0 Joint X Y phi 0 0.000000 0.000000 0.989686 1 0.000000 0.000000 -1.031931 Axial Shear Moment 0 15.583198 445.966528 0.000000 1 -15.636366 -447.488093 0.000000 Displacements and forces along members in local CS Memb: 0 d(x) X Y phi 0.000 0.000000 0.000000 0.989686 4.353 0.000022 4.057344 0.829967 8.705 0.000015 7.066490 0.565582 13.058 -0.000027 9.460852 0.628243 13.500 -0.000028 9.746147 0.662773 13.500 -0.000028 9.746147 0.662773 17.411 -0.000009 12.870615 0.899089 21.763 0.000016 16.772670 0.841247 26.116 0.000029 19.847982 0.544963 30.469 0.000030 21.394992 0.164762 34.821 0.000018 21.384734 -0.144831 39.174 -0.000006 20.460838 -0.229291 43.527 -0.000028 19.906597 0.022385 47.879 -0.000006 20.647337 0.268610 52.232 0.000019 21.721870 0.174475 56.585 0.000031 21.838108 -0.145790 60.937 0.000030 20.350324 -0.536631 65.290 0.000017 17.289866 -0.842492
69.642 -0.000009 13.365163 -0.907817 73.995 -0.000026 9.903030 -0.644533 78.348 0.000016 7.403754 -0.596946 82.700 0.000022 4.237493 -0.869629 87.053 0.000000 0.000000 -1.031931 d(x) Axial Shear Moment 0.000 15.583198 445.966528 0.000000 4.353 4.183198 119.716528 -1231.111541 8.705 -12.223855 -349.827430 -848.342182 13.058 -8.034795 -229.943154 1528.161012 13.500 -0.131349 -3.759003 1579.813341 13.500 -0.131346 -3.758903 1579.813341 17.411 14.495468 414.837403 518.707025 21.763 8.795468 251.712403 -931.923589 26.116 3.095468 88.587403 -1672.527384 30.469 -2.604532 -74.537597 -1703.104361 34.821 -8.304532 -237.662597 -1023.654521 39.174 -14.004532 -400.787597 365.822137 43.527 0.218173 6.243774 1602.522738 47.879 14.079323 402.927980 325.235813 52.232 8.341323 238.715480 -1071.190436 56.585 2.603323 74.502980 -1752.856355 60.937 -3.134677 -89.709520 -1719.761943 65.290 -8.872677 -253.922020 -971.907202 69.642 -14.610677 -418.134520 490.707869 73.995 8.930974 255.590387 1471.682791 78.348 11.933351 341.513666 -903.661379 82.700 -4.375430 -125.217898 -1254.951440 87.053 -15.636366 -447.488093 0.000007
____________________________________________________________________________
Displacements (global CS) and forces (local CS) on members ends
Ult shear
LinPro 2.7.5File: C:\Users\CHRIS\Documents\linpro\Prestressed concrete project.alnUnits: kN-m ____________________________________________________________________________Load Case: CASE1 Displacements of joints in global CS Joint X Y phi 0 0.000000 0.000000 0.504428 1 0.000000 0.000000 -1.079011 2 0.000000 0.000000 1.325958 3 0.000000 0.000000 -0.332878 4 0.000000 0.000000 0.349327 Reactions in global CS Joint Rx Ry M 0 13.147443 -285.310960 0.000000 1 -14.298991 1687.732022 0.000000 2 -3.430429 1487.969449 0.000000 3 4.197614 564.940995 0.000000 4 0.384363 469.958494 0.000000 Displacements (global CS) and forces (local CS) on members ends Memb: 0 Joint X Y phi 0 0.000000 0.000000 0.504428 1 0.000000 0.000000 -1.079011 Axial Shear Moment 0 -3.212449 285.595657 0.000000 1 3.208561 470.028917 -5104.310243 Memb: 1 Joint X Y phi 1 0.000000 0.000000 -1.079011 2 0.000000 0.000000 1.325958 Axial Shear Moment 1 -41.448734 -1217.171077 -5104.310243 2 41.398037 1149.879548 -4116.059877 Memb: 2 Joint X Y phi 2 0.000000 0.000000 1.325958 3 0.000000 0.000000 -0.332878 Axial Shear Moment 2 -7.108397 -337.301733 -4116.059877 3 7.099868 72.552064 -146.122316
0 10 20 30 40 50 60 70 80 90 100
-500
-400
-300
-200
-100
0
100
200
300
400
cgs,e
cgs,e
Memb: 3 Joint X Y phi 3 0.000000 0.000000 -0.332878 4 0.000000 0.000000 0.349327 Axial Shear Moment 3 -17.104793 -491.889348 -146.122316 4 17.083203 469.648057 0.000000 Displacements and forces along members in local CS Memb: 0 d(x) X Y phi 0.000 0.000000 0.000000 0.504428 1.351 -0.000002 0.675430 0.491120 2.702 -0.000003 1.314336 0.450071 4.052 -0.000005 1.878108 0.379598 5.403 -0.000005 2.325864 0.278017 6.754 -0.000005 2.614445 0.143646 8.105 -0.000005 2.698419 -0.025201 9.456 -0.000005 2.530080 -0.230206 10.807 -0.000003 2.059446 -0.473054 12.157 -0.000002 1.234263 -0.755428 13.508 0.000000 0.000000 -1.079011
Memb: 1 d(x) X Y phi 0.000 0.000000 0.000000 -1.079011 3.002 -0.000057 -4.126575 -1.586983 6.004 -0.000102 -9.075387 -1.642889 9.006 -0.000136 -13.633995 -1.343062 12.007 -0.000159 -16.879135 -0.783834 15.000 -0.000171 -18.176137 -0.063899 15.000 -0.000171 -18.176137 -0.063899 15.009 -0.000171 -18.176713 -0.061538 18.011 -0.000159 -17.234193 0.675305 21.013 -0.000136 -14.255824 1.278809 24.015 -0.000102 -9.786456 1.652640 27.017 -0.000057 -4.660115 1.700467
30.018 0.000000 0.000000 1.325958
Memb: 2 d(x) X Y phi 0.000 0.000000 0.000000 1.325958 3.002 -0.000010 3.126755 0.781082 6.004 -0.000017 4.822882 0.369699 9.005 -0.000022 5.461364 0.073330 12.007 -0.000026 5.359722 -0.126501 15.009 -0.000027 4.780012 -0.248270 18.011 -0.000026 3.928828 -0.310454 21.013 -0.000022 2.957299 -0.331531 24.014 -0.000017 1.961093 -0.329976 27.016 -0.000010 0.980414 -0.324266 30.018 0.000000 0.000000 -0.332878
Memb: 3 d(x) X Y phi 0.000 0.000000 0.000000 -0.332878 1.351 -0.000010 -0.446725 -0.321770 2.702 -0.000018 -0.853073 -0.274561 4.053 -0.000024 -1.176206 -0.200030 5.403 -0.000028 -1.385144 -0.106954 6.754 -0.000029 -1.460766 -0.004112
8.105 -0.000028 -1.395809 0.099716 9.456 -0.000024 -1.194870 0.195753 10.807 -0.000018 -0.874404 0.275219 12.158 -0.000010 -0.462723 0.329337 13.509 0.000000 0.000000 0.349327
____________________________________________________________________________Load Case: CASE2 Displacements of joints in global CS Joint X Y phi 0 0.000000 0.000000 0.000000 1 0.000000 0.000000 0.000000 2 0.000000 0.000000 0.000000 3 0.000000 0.000000 0.000000 4 0.000000 0.000000 0.000000 Reactions in global CS Joint Rx Ry M 0 0.000000 0.000000 0.000000 1 0.000000 0.000000 0.000000 2 0.000000 0.000000 0.000000 3 0.000000 0.000000 0.000000 4 0.000000 0.000000 0.000000 Displacements (global CS) and forces (local CS) on members ends Memb: 0 Joint X Y phi 0 0.000000 0.000000 0.000000 1 0.000000 0.000000 0.000000 Axial Shear Moment 0 0.000000 0.000000 0.000000 1 0.000000 0.000000 0.000000 Memb: 1 Joint X Y phi
1 0.000000 0.000000 0.000000 2 0.000000 0.000000 0.000000 Axial Shear Moment 1 0.000000 0.000000 0.000000 2 0.000000 0.000000 0.000000 Memb: 2 Joint X Y phi 2 0.000000 0.000000 0.000000 3 0.000000 0.000000 0.000000 Axial Shear Moment 2 0.000000 0.000000 0.000000 3 0.000000 0.000000 0.000000 Memb: 3 Joint X Y phi 3 0.000000 0.000000 0.000000 4 0.000000 0.000000 0.000000 Axial Shear Moment 3 0.000000 0.000000 0.000000 4 0.000000 0.000000 0.000000 Displacements and forces along members in local CS Memb: 0 d(x) X Y phi 0.000 0.000000 0.000000 0.000000 1.351 0.000000 0.000000 0.000000 2.702 0.000000 0.000000 0.000000 4.052 0.000000 0.000000 0.000000 5.403 0.000000 0.000000 0.000000 6.754 0.000000 0.000000 0.000000 8.105 0.000000 0.000000 0.000000 9.456 0.000000 0.000000 0.000000 10.807 0.000000 0.000000 0.000000 12.157 0.000000 0.000000 0.000000 13.508 0.000000 0.000000 0.000000 d(x) Axial Shear Moment 0.000 0.000000 0.000000 0.000000 1.351 0.000000 0.000000 0.000000 2.702 0.000000 0.000000 0.000000 4.052 0.000000 0.000000 0.000000 5.403 0.000000 0.000000 0.000000 6.754 0.000000 0.000000 0.000000 8.105 0.000000 0.000000 0.000000 9.456 0.000000 0.000000 0.000000 10.807 0.000000 0.000000 0.000000 12.157 0.000000 0.000000 0.000000 13.508 0.000000 0.000000 0.000000 Memb: 1 d(x) X Y phi
0.000 0.000000 0.000000 0.000000 3.002 0.000000 0.000000 0.000000 6.004 0.000000 0.000000 0.000000 9.006 0.000000 0.000000 0.000000 12.007 0.000000 0.000000 0.000000 15.000 0.000000 0.000000 0.000000 15.000 0.000000 0.000000 0.000000 15.009 0.000000 0.000000 0.000000 18.011 0.000000 0.000000 0.000000 21.013 0.000000 0.000000 0.000000 24.015 0.000000 0.000000 0.000000 27.017 0.000000 0.000000 0.000000 30.018 0.000000 0.000000 0.000000 d(x) Axial Shear Moment 0.000 0.000000 0.000000 0.000000 3.002 0.000000 0.000000 0.000000 6.004 0.000000 0.000000 0.000000 9.006 0.000000 0.000000 0.000000 12.007 0.000000 0.000000 0.000000 15.000 0.000000 0.000000 0.000000 15.000 0.000000 0.000000 0.000000 15.009 0.000000 0.000000 0.000000 18.011 0.000000 0.000000 0.000000 21.013 0.000000 0.000000 0.000000 24.015 0.000000 0.000000 0.000000 27.017 0.000000 0.000000 0.000000 30.018 0.000000 0.000000 0.000000 Memb: 2 d(x) X Y phi 0.000 0.000000 0.000000 0.000000 3.002 0.000000 0.000000 0.000000 6.004 0.000000 0.000000 0.000000 9.005 0.000000 0.000000 0.000000 12.007 0.000000 0.000000 0.000000 15.009 0.000000 0.000000 0.000000 18.011 0.000000 0.000000 0.000000 21.013 0.000000 0.000000 0.000000 24.014 0.000000 0.000000 0.000000 27.016 0.000000 0.000000 0.000000 30.018 0.000000 0.000000 0.000000 d(x) Axial Shear Moment 0.000 0.000000 0.000000 0.000000 3.002 0.000000 0.000000 0.000000 6.004 0.000000 0.000000 0.000000 9.005 0.000000 0.000000 0.000000 12.007 0.000000 0.000000 0.000000 15.009 0.000000 0.000000 0.000000 18.011 0.000000 0.000000 0.000000
21.013 0.000000 0.000000 0.000000 24.014 0.000000 0.000000 0.000000 27.016 0.000000 0.000000 0.000000 30.018 0.000000 0.000000 0.000000 Memb: 3 d(x) X Y phi 0.000 0.000000 0.000000 0.000000 1.351 0.000000 0.000000 0.000000 2.702 0.000000 0.000000 0.000000 4.053 0.000000 0.000000 0.000000 5.403 0.000000 0.000000 0.000000 6.754 0.000000 0.000000 0.000000 8.105 0.000000 0.000000 0.000000 9.456 0.000000 0.000000 0.000000 10.807 0.000000 0.000000 0.000000 12.158 0.000000 0.000000 0.000000 13.509 0.000000 0.000000 0.000000 d(x) Axial Shear Moment 0.000 0.000000 0.000000 0.000000 1.351 0.000000 0.000000 0.000000 2.702 0.000000 0.000000 0.000000 4.053 0.000000 0.000000 0.000000 5.403 0.000000 0.000000 0.000000 6.754 0.000000 0.000000 0.000000 8.105 0.000000 0.000000 0.000000 9.456 0.000000 0.000000 0.000000 10.807 0.000000 0.000000 0.000000 12.158 0.000000 0.000000 0.000000 13.509 0.000000 0.000000 0.000000 ____________________________________________________________________________Load Combination: COMB1 = 1.20xCASE1 + 1.60xCASE2 Displacements of joints in global CS Joint X Y phi 0 0.000000 0.000000 0.605314 1 0.000000 0.000000 -1.294814 2 0.000000 0.000000 1.591149 3 0.000000 0.000000 -0.399453 4 0.000000 0.000000 0.419192 Reactions in global CS Joint Rx Ry M 0 15.776932 -342.373151 0.000000 1 -17.158790 2025.278426 0.000000 2 -4.116515 1785.563339 0.000000 3 5.037137 677.929194 0.000000
4 0.461236 563.950192 0.000000 Displacements (global CS) and forces (local CS) on members ends Memb: 0 Joint X Y phi 0 0.000000 0.000000 0.605314 1 0.000000 0.000000 -1.294814 Axial Shear Moment 0 -3.854939 342.714788 0.000000 1 3.850273 564.034701 -6125.172291 Memb: 1 Joint X Y phi 1 0.000000 0.000000 -1.294814 2 0.000000 0.000000 1.591149 Axial Shear Moment 1 -49.738481 -1460.605293 -6125.172291 2 49.677645 1379.855458 -4939.271853 Memb: 2 Joint X Y phi 2 0.000000 0.000000 1.591149 3 0.000000 0.000000 -0.399453 Axial Shear Moment 2 -8.530077 -404.762080 -4939.271853 3 8.519841 87.062477 -175.346779 Memb: 3 Joint X Y phi 3 0.000000 0.000000 -0.399453 4 0.000000 0.000000 0.419192 Axial Shear Moment 3 -20.525752 -590.267218 -175.346779 4 20.499844 563.577669 0.000000 Displacements and forces along members in local CS Memb: 0 d(x) X Y phi 0.000 0.000000 0.000000 0.605314 1.351 -0.000002 0.810516 0.589344 2.702 -0.000004 1.577203 0.540085 4.052 -0.000005 2.253730 0.455517 5.403 -0.000006 2.791037 0.333621 6.754 -0.000007 3.137334 0.172375 8.105 -0.000006 3.238103 -0.030241 9.456 -0.000005 3.036096 -0.276248 10.807 -0.000004 2.471336 -0.567665 12.157 -0.000002 1.481116 -0.906513 13.508 0.000000 0.000000 -1.294814 d(x) Axial Shear Moment 0.000 -3.854939 342.714788 0.000000
1.351 -3.083951 364.860188 -477.902472 2.702 -2.312963 387.005588 -985.719346 4.052 -1.541975 409.150988 -1523.450624 5.403 -0.770987 431.296388 -2091.096303 6.754 0.000001 453.441788 -2688.656386 8.105 0.770989 475.587188 -3316.130871 9.456 1.541977 497.732588 -3973.519760 10.807 2.312965 519.877988 -4660.823050 12.157 3.083953 542.023388 -5378.040744 13.508 3.850273 564.034701 -6125.172292 Memb: 1 d(x) X Y phi 0.000 0.000000 0.000000 -1.294814 3.002 -0.000068 -4.951890 -1.904380 6.004 -0.000122 -10.890464 -1.971467 9.006 -0.000163 -16.360794 -1.611675 12.007 -0.000191 -20.254962 -0.940601 15.000 -0.000205 -21.811364 -0.076679 15.000 -0.000205 -21.811364 -0.076679 15.009 -0.000205 -21.812056 -0.073846 18.011 -0.000191 -20.681032 0.810366 21.013 -0.000163 -17.106988 1.534570 24.015 -0.000122 -11.743747 1.983168 27.017 -0.000068 -5.592138 2.040561 30.018 0.000000 0.000000 1.591149 d(x) Axial Shear Moment 0.000 -49.738481 -1460.605292 -6125.172290 3.002 -40.758461 -1204.033292 -2125.767025 6.004 -31.778441 -947.461292 1103.450933 9.006 -22.798421 -690.889292 3562.481584 12.007 -13.818401 -434.317292 5251.324929 15.000 -4.865857 -178.530323 6168.344826 15.000 4.805021 97.780488 6168.344826 15.009 4.832497 98.565519 6167.443138 18.011 13.812517 355.137519 5486.471869 21.013 22.792537 611.709519 4035.313293 24.015 31.772557 868.281519 1813.967410 27.017 40.752577 1124.853519 -1177.565779 30.018 49.677645 1379.855458 -4939.271854 Memb: 2 d(x) X Y phi 0.000 0.000000 0.000000 1.591149 3.002 -0.000012 3.752106 0.937299 6.004 -0.000020 5.787458 0.443639 9.005 -0.000027 6.553637 0.087996 12.007 -0.000031 6.431666 -0.151801 15.009 -0.000032 5.736014 -0.297924 18.011 -0.000031 4.714593 -0.372545
21.013 -0.000027 3.548759 -0.397837 24.014 -0.000020 2.353312 -0.395971 27.016 -0.000012 1.176496 -0.389119 30.018 0.000000 0.000000 -0.399453 d(x) Axial Shear Moment 0.000 -8.530077 -404.762080 -4939.271853 3.002 -6.824061 -355.550080 -3798.118524 6.004 -5.118045 -306.338080 -2804.689881 9.005 -3.412029 -257.126080 -1958.985924 12.007 -1.706013 -207.914080 -1261.006654 15.009 0.000003 -158.702080 -710.752070 18.011 1.706019 -109.490080 -308.222172 21.013 3.412035 -60.278080 -53.416960 24.014 5.118051 -11.066080 53.663566 27.016 6.824067 38.145920 13.019405 30.018 8.519841 87.062477 -175.346780 Memb: 3 d(x) X Y phi 0.000 0.000000 0.000000 -0.399453 1.351 -0.000012 -0.536070 -0.386124 2.702 -0.000022 -1.023687 -0.329474 4.053 -0.000029 -1.411447 -0.240036 5.403 -0.000033 -1.662172 -0.128344 6.754 -0.000035 -1.752919 -0.004935 8.105 -0.000033 -1.674971 0.119659 9.456 -0.000029 -1.433844 0.234903 10.807 -0.000022 -1.049285 0.330263 12.158 -0.000012 -0.555268 0.395204 13.509 0.000000 0.000000 0.419192 d(x) Axial Shear Moment 0.000 -20.525752 -590.267218 -175.346779 1.351 -16.420600 -474.809818 544.034509 2.702 -12.315448 -359.352418 1107.449815 4.053 -8.210296 -243.895018 1514.899138 5.403 -4.105144 -128.437618 1766.382479 6.754 0.000008 -12.980218 1861.899837 8.105 4.105160 102.477182 1801.451213 9.456 8.210312 217.934582 1585.036606 10.807 12.315464 333.391982 1212.656016 12.158 16.420616 448.849382 684.309444 13.509 20.499844 563.577669 -0.000001
LinPro 2.7.5File: C:\Users\CHRIS\Documents\linpro\Prestressed concrete project.aln 0 0 0Units: kN-m -119.8125 119.8125 1.35 -209.25 209.25 2.7 -247.61 247.61 4.05_____________________________________________________________ -295.04 295.04 5.4Load Case: CASE1 -292.25 292.25 6.75 -239.24 239.24 8.1Displacements of joints in global CS -136.01 136.01 9.45 Joint X Y phi 17.44 -17.44 10.8 0 0.000000 0.000000 0.504428 219.56 -219.56 12.15 1 0.000000 0.000000 -1.079011 320 -320 13.5 2 0.000000 0.000000 1.325958 173 -173 16.5 3 0.000000 0.000000 -0.332878 -84.25 84.25 19.5 4 0.000000 0.000000 0.349327 -268 268 22.5 -378.25 378.25 25.5Reactions in global CS -415 415 28.5 Joint Rx Ry M -378.25 378.25 31.5 0 13.147443 -285.310960 0.000000 -268 268 34.5 1 -14.298991 1687.732022 0.000000 -84.25 84.25 37.5 2 -3.430429 1487.969449 0.000000 173 -173 40.5 3 4.197614 564.940995 0.000000 320 -320 43.5 4 0.384363 469.958494 0.000000 173 -84.25Displacements (global CS) and forces (local CS) on members ends -268 Memb: 0 -378.25 Joint X Y phi -415 0 0.000000 0.000000 0.504428 -378.25 0 1 0.000000 0.000000 -1.079011 -268 0 43.5 Axial Shear Moment -84.25 0 43.5 0 -3.212449 285.595657 0.000000 173 46.5 1 3.208561 470.028917 -5104.310243 320 49.5 Memb: 1 219.56 52.5 Joint X Y phi 17.44 55.5 1 0.000000 0.000000 -1.079011 -136.01 58.5 2 0.000000 0.000000 1.325958 -239.24 61.5 Axial Shear Moment -292.25 64.5 1 -41.448734 -1217.171077 -5104.310243 -295.04 67.5 2 41.398037 1149.879548 -4116.059877 -247.61 70.5 Memb: 2 -209.25 73.5 Joint X Y phi -119.8125 73.5 2 0.000000 0.000000 1.325958 0 74.85 3 0.000000 0.000000 -0.332878 76.2 Axial Shear Moment 77.55 2 -7.108397 -337.301733 -4116.059877 78.9 3 7.099868 72.552064 -146.122316 80.25 Memb: 3 81.6 Joint X Y phi 82.95
0 10 20 30 40 50 60 70 80 90 100
-500
-400
-300
-200
-100
0
100
200
300
400
cgs,e
cgs,e
3 0.000000 0.000000 -0.332878 84.3 4 0.000000 0.000000 0.349327 85.65 Axial Shear Moment 87 3 -17.104793 -491.889348 -146.122316 4 17.083203 469.648057 0.000000 Displacements and forces along members in local CS Memb: 0 d(x) X Y phi 0.000 0.000000 0.000000 0.504428 1.351 -0.000002 0.675430 0.491120 2.702 -0.000003 1.314336 0.450071 4.052 -0.000005 1.878108 0.379598 5.403 -0.000005 2.325864 0.278017 6.754 -0.000005 2.614445 0.143646 8.105 -0.000005 2.698419 -0.025201 9.456 -0.000005 2.530080 -0.230206 10.807 -0.000003 2.059446 -0.473054 12.157 -0.000002 1.234263 -0.755428 13.508 0.000000 0.000000 -1.079011 d(x) Axial Shear Moment 0.000 -3.212449 285.595657 0.000000 1.351 -2.569959 304.050157 -398.252060 2.702 -1.927469 322.504657 -821.432789 4.052 -1.284979 340.959157 -1269.542186 5.403 -0.642489 359.413657 -1742.580253 6.754 0.000001 377.868157 -2240.546988 8.105 0.642491 396.322657 -2763.442393 9.456 1.284981 414.777157 -3311.266466 10.807 1.927471 433.231657 -3884.019209 12.157 2.569961 451.686157 -4481.700620 13.508 3.208561 470.028917 -5104.310243 Memb: 1 d(x) X Y phi 0.000 0.000000 0.000000 -1.079011 3.002 -0.000057 -4.126575 -1.586983 6.004 -0.000102 -9.075387 -1.642889 9.006 -0.000136 -13.633995 -1.343062 12.007 -0.000159 -16.879135 -0.783834 15.000 -0.000171 -18.176137 -0.063899 15.000 -0.000171 -18.176137 -0.063899 15.009 -0.000171 -18.176713 -0.061538 18.011 -0.000159 -17.234193 0.675305 21.013 -0.000136 -14.255824 1.278809 24.015 -0.000102 -9.786456 1.652640 27.017 -0.000057 -4.660115 1.700467 30.018 0.000000 0.000000 1.325958 d(x) Axial Shear Moment
0.000 -41.448734 -1217.171077 -5104.310241 3.002 -33.965384 -1003.361077 -1771.472521 6.004 -26.482034 -789.551077 919.542444 9.006 -18.998684 -575.741077 2968.734654 12.007 -11.515334 -361.931077 4376.104107 15.000 -4.054881 -148.775269 5140.287355 15.000 4.004184 81.483740 5140.287355 15.009 4.027081 82.137932 5139.535948 18.011 11.510431 295.947932 4572.059891 21.013 18.993781 509.757932 3362.761077 24.015 26.477131 723.567932 1511.639509 27.017 33.960481 937.377932 -981.304816 30.018 41.398037 1149.879548 -4116.059879 Memb: 2 d(x) X Y phi 0.000 0.000000 0.000000 1.325958 3.002 -0.000010 3.126755 0.781082 6.004 -0.000017 4.822882 0.369699 9.005 -0.000022 5.461364 0.073330 12.007 -0.000026 5.359722 -0.126501 15.009 -0.000027 4.780012 -0.248270 18.011 -0.000026 3.928828 -0.310454 21.013 -0.000022 2.957299 -0.331531 24.014 -0.000017 1.961093 -0.329976 27.016 -0.000010 0.980414 -0.324266 30.018 0.000000 0.000000 -0.332878 d(x) Axial Shear Moment 0.000 -7.108397 -337.301733 -4116.059877 -4116.06 3.002 -5.686717 -296.291733 -3165.098770 6.004 -4.265037 -255.281733 -2337.241567 9.005 -2.843357 -214.271733 -1632.488270 12.007 -1.421677 -173.261733 -1050.838878 15.009 0.000003 -132.251733 -592.293391 18.011 1.421683 -91.241733 -256.851810 21.013 2.843363 -50.231733 -44.514133 24.014 4.265043 -9.221733 44.719638 27.016 5.686723 31.788267 10.849504 30.018 7.099868 72.552064 -146.122316 Memb: 3 d(x) X Y phi 0.000 0.000000 0.000000 -0.332878 1.351 -0.000010 -0.446725 -0.321770 2.702 -0.000018 -0.853073 -0.274561 4.053 -0.000024 -1.176206 -0.200030 5.403 -0.000028 -1.385144 -0.106954 6.754 -0.000029 -1.460766 -0.004112 8.105 -0.000028 -1.395809 0.099716 9.456 -0.000024 -1.194870 0.195753
10.807 -0.000018 -0.874404 0.275219 12.158 -0.000010 -0.462723 0.329337 13.509 0.000000 0.000000 0.349327 d(x) Axial Shear Moment 0.000 -17.104793 -491.889348 -146.122316 1.351 -13.683833 -395.674848 453.362091 2.702 -10.262873 -299.460348 922.874846 4.053 -6.841913 -203.245848 1262.415949 5.403 -3.420953 -107.031348 1471.985399 6.754 0.000007 -10.816848 1551.583197 8.105 3.420967 85.397652 1501.209344 9.456 6.841927 181.612152 1320.863838 10.807 10.262887 277.826652 1010.546680 12.158 13.683847 374.041152 570.257870 13.509 17.083203 469.648057 0.000000 ____________________________________________________________________________Load Case: CASE2 Displacements of joints in global CS Joint X Y phi 0 0.000000 0.000000 0.000000 1 0.000000 0.000000 0.000000 2 0.000000 0.000000 0.000000 3 0.000000 0.000000 0.000000 4 0.000000 0.000000 0.000000 Reactions in global CS Joint Rx Ry M 0 0.000000 0.000000 0.000000 1 0.000000 0.000000 0.000000 2 0.000000 0.000000 0.000000 3 0.000000 0.000000 0.000000 4 0.000000 0.000000 0.000000 Displacements (global CS) and forces (local CS) on members ends Memb: 0 Joint X Y phi 0 0.000000 0.000000 0.000000 1 0.000000 0.000000 0.000000 Axial Shear Moment 0 0.000000 0.000000 0.000000 1 0.000000 0.000000 0.000000 Memb: 1 Joint X Y phi 1 0.000000 0.000000 0.000000 2 0.000000 0.000000 0.000000
Axial Shear Moment 1 0.000000 0.000000 0.000000 2 0.000000 0.000000 0.000000 Memb: 2 Joint X Y phi 2 0.000000 0.000000 0.000000 3 0.000000 0.000000 0.000000 Axial Shear Moment 2 0.000000 0.000000 0.000000 3 0.000000 0.000000 0.000000 Memb: 3 Joint X Y phi 3 0.000000 0.000000 0.000000 4 0.000000 0.000000 0.000000 Axial Shear Moment 3 0.000000 0.000000 0.000000 4 0.000000 0.000000 0.000000 Displacements and forces along members in local CS Memb: 0 d(x) X Y phi 0.000 0.000000 0.000000 0.000000 1.351 0.000000 0.000000 0.000000 2.702 0.000000 0.000000 0.000000 4.052 0.000000 0.000000 0.000000 5.403 0.000000 0.000000 0.000000 6.754 0.000000 0.000000 0.000000 8.105 0.000000 0.000000 0.000000 9.456 0.000000 0.000000 0.000000 10.807 0.000000 0.000000 0.000000 12.157 0.000000 0.000000 0.000000 13.508 0.000000 0.000000 0.000000 d(x) Axial Shear Moment 0.000 0.000000 0.000000 0.000000 1.351 0.000000 0.000000 0.000000 2.702 0.000000 0.000000 0.000000 4.052 0.000000 0.000000 0.000000 5.403 0.000000 0.000000 0.000000 6.754 0.000000 0.000000 0.000000 8.105 0.000000 0.000000 0.000000 9.456 0.000000 0.000000 0.000000 10.807 0.000000 0.000000 0.000000 12.157 0.000000 0.000000 0.000000 13.508 0.000000 0.000000 0.000000 Memb: 1 d(x) X Y phi 0.000 0.000000 0.000000 0.000000 3.002 0.000000 0.000000 0.000000
6.004 0.000000 0.000000 0.000000 9.006 0.000000 0.000000 0.000000 12.007 0.000000 0.000000 0.000000 15.000 0.000000 0.000000 0.000000 15.000 0.000000 0.000000 0.000000 15.009 0.000000 0.000000 0.000000 18.011 0.000000 0.000000 0.000000 21.013 0.000000 0.000000 0.000000 24.015 0.000000 0.000000 0.000000 27.017 0.000000 0.000000 0.000000 30.018 0.000000 0.000000 0.000000 d(x) Axial Shear Moment 0.000 0.000000 0.000000 0.000000 3.002 0.000000 0.000000 0.000000 6.004 0.000000 0.000000 0.000000 9.006 0.000000 0.000000 0.000000 12.007 0.000000 0.000000 0.000000 15.000 0.000000 0.000000 0.000000 15.000 0.000000 0.000000 0.000000 15.009 0.000000 0.000000 0.000000 18.011 0.000000 0.000000 0.000000 21.013 0.000000 0.000000 0.000000 24.015 0.000000 0.000000 0.000000 27.017 0.000000 0.000000 0.000000 30.018 0.000000 0.000000 0.000000 Memb: 2 d(x) X Y phi 0.000 0.000000 0.000000 0.000000 3.002 0.000000 0.000000 0.000000 6.004 0.000000 0.000000 0.000000 9.005 0.000000 0.000000 0.000000 12.007 0.000000 0.000000 0.000000 15.009 0.000000 0.000000 0.000000 18.011 0.000000 0.000000 0.000000 21.013 0.000000 0.000000 0.000000 24.014 0.000000 0.000000 0.000000 27.016 0.000000 0.000000 0.000000 30.018 0.000000 0.000000 0.000000 d(x) Axial Shear Moment 0.000 0.000000 0.000000 0.000000 3.002 0.000000 0.000000 0.000000 6.004 0.000000 0.000000 0.000000 9.005 0.000000 0.000000 0.000000 12.007 0.000000 0.000000 0.000000 15.009 0.000000 0.000000 0.000000 18.011 0.000000 0.000000 0.000000 21.013 0.000000 0.000000 0.000000 24.014 0.000000 0.000000 0.000000
27.016 0.000000 0.000000 0.000000 30.018 0.000000 0.000000 0.000000 Memb: 3 d(x) X Y phi 0.000 0.000000 0.000000 0.000000 1.351 0.000000 0.000000 0.000000 2.702 0.000000 0.000000 0.000000 4.053 0.000000 0.000000 0.000000 5.403 0.000000 0.000000 0.000000 6.754 0.000000 0.000000 0.000000 8.105 0.000000 0.000000 0.000000 9.456 0.000000 0.000000 0.000000 10.807 0.000000 0.000000 0.000000 12.158 0.000000 0.000000 0.000000 13.509 0.000000 0.000000 0.000000 d(x) Axial Shear Moment 0.000 0.000000 0.000000 0.000000 1.351 0.000000 0.000000 0.000000 2.702 0.000000 0.000000 0.000000 4.053 0.000000 0.000000 0.000000 5.403 0.000000 0.000000 0.000000 6.754 0.000000 0.000000 0.000000 8.105 0.000000 0.000000 0.000000 9.456 0.000000 0.000000 0.000000 10.807 0.000000 0.000000 0.000000 12.158 0.000000 0.000000 0.000000 13.509 0.000000 0.000000 0.000000 ____________________________________________________________________________Load Combination: COMB1 = 1.20xCASE1 + 1.60xCASE2 Displacements of joints in global CS Joint X Y phi 0 0.000000 0.000000 0.605314 1 0.000000 0.000000 -1.294814 2 0.000000 0.000000 1.591149 3 0.000000 0.000000 -0.399453 4 0.000000 0.000000 0.419192 Reactions in global CS Joint Rx Ry M 0 15.776932 -342.373151 0.000000 1 -17.158790 2025.278426 0.000000 2 -4.116515 1785.563339 0.000000 3 5.037137 677.929194 0.000000 4 0.461236 563.950192 0.000000
Displacements (global CS) and forces (local CS) on members ends Memb: 0 Joint X Y phi 0 0.000000 0.000000 0.605314 1 0.000000 0.000000 -1.294814 Axial Shear Moment 0 -3.854939 342.714788 0.000000 1 3.850273 564.034701 -6125.172291 Memb: 1 Joint X Y phi 1 0.000000 0.000000 -1.294814 2 0.000000 0.000000 1.591149 Axial Shear Moment 1 -49.738481 -1460.605293 -6125.172291 2 49.677645 1379.855458 -4939.271853 Memb: 2 Joint X Y phi 2 0.000000 0.000000 1.591149 3 0.000000 0.000000 -0.399453 Axial Shear Moment 2 -8.530077 -404.762080 -4939.271853 3 8.519841 87.062477 -175.346779 Memb: 3 Joint X Y phi 3 0.000000 0.000000 -0.399453 4 0.000000 0.000000 0.419192 Axial Shear Moment 3 -20.525752 -590.267218 -175.346779 4 20.499844 563.577669 0.000000 Displacements and forces along members in local CS Memb: 0 d(x) X Y phi 0.000 0.000000 0.000000 0.605314 1.351 -0.000002 0.810516 0.589344 2.702 -0.000004 1.577203 0.540085 4.052 -0.000005 2.253730 0.455517 5.403 -0.000006 2.791037 0.333621 6.754 -0.000007 3.137334 0.172375 8.105 -0.000006 3.238103 -0.030241 9.456 -0.000005 3.036096 -0.276248 10.807 -0.000004 2.471336 -0.567665 12.157 -0.000002 1.481116 -0.906513 13.508 0.000000 0.000000 -1.294814 d(x) Axial Shear Moment 0.000 -3.854939 342.714788 0.000000 1.351 -3.083951 364.860188 -477.902472 2.702 -2.312963 387.005588 -985.719346
4.052 -1.541975 409.150988 -1523.450624 5.403 -0.770987 431.296388 -2091.096303 6.754 0.000001 453.441788 -2688.656386 8.105 0.770989 475.587188 -3316.130871 9.456 1.541977 497.732588 -3973.519760 10.807 2.312965 519.877988 -4660.823050 12.157 3.083953 542.023388 -5378.040744 13.508 3.850273 564.034701 -6125.172292 Memb: 1 d(x) X Y phi 0.000 0.000000 0.000000 -1.294814 3.002 -0.000068 -4.951890 -1.904380 6.004 -0.000122 -10.890464 -1.971467 9.006 -0.000163 -16.360794 -1.611675 12.007 -0.000191 -20.254962 -0.940601 15.000 -0.000205 -21.811364 -0.076679 15.000 -0.000205 -21.811364 -0.076679 15.009 -0.000205 -21.812056 -0.073846 18.011 -0.000191 -20.681032 0.810366 21.013 -0.000163 -17.106988 1.534570 24.015 -0.000122 -11.743747 1.983168 27.017 -0.000068 -5.592138 2.040561 30.018 0.000000 0.000000 1.591149 d(x) Axial Shear Moment 0.000 -49.738481 -1460.605292 -6125.172290 3.002 -40.758461 -1204.033292 -2125.767025 6.004 -31.778441 -947.461292 1103.450933 9.006 -22.798421 -690.889292 3562.481584 12.007 -13.818401 -434.317292 5251.324929 15.000 -4.865857 -178.530323 6168.344826 15.000 4.805021 97.780488 6168.344826 15.009 4.832497 98.565519 6167.443138 18.011 13.812517 355.137519 5486.471869 21.013 22.792537 611.709519 4035.313293 24.015 31.772557 868.281519 1813.967410 27.017 40.752577 1124.853519 -1177.565779 30.018 49.677645 1379.855458 -4939.271854 Memb: 2 d(x) X Y phi 0.000 0.000000 0.000000 1.591149 3.002 -0.000012 3.752106 0.937299 6.004 -0.000020 5.787458 0.443639 9.005 -0.000027 6.553637 0.087996 12.007 -0.000031 6.431666 -0.151801 15.009 -0.000032 5.736014 -0.297924 18.011 -0.000031 4.714593 -0.372545 21.013 -0.000027 3.548759 -0.397837 24.014 -0.000020 2.353312 -0.395971
27.016 -0.000012 1.176496 -0.389119 30.018 0.000000 0.000000 -0.399453 d(x) Axial Shear Moment 0.000 -8.530077 -404.762080 -4939.271853 3.002 -6.824061 -355.550080 -3798.118524 6.004 -5.118045 -306.338080 -2804.689881 9.005 -3.412029 -257.126080 -1958.985924 12.007 -1.706013 -207.914080 -1261.006654 15.009 0.000003 -158.702080 -710.752070 18.011 1.706019 -109.490080 -308.222172 21.013 3.412035 -60.278080 -53.416960 24.014 5.118051 -11.066080 53.663566 27.016 6.824067 38.145920 13.019405 30.018 8.519841 87.062477 -175.346780 Memb: 3 d(x) X Y phi 0.000 0.000000 0.000000 -0.399453 1.351 -0.000012 -0.536070 -0.386124 2.702 -0.000022 -1.023687 -0.329474 4.053 -0.000029 -1.411447 -0.240036 5.403 -0.000033 -1.662172 -0.128344 6.754 -0.000035 -1.752919 -0.004935 8.105 -0.000033 -1.674971 0.119659 9.456 -0.000029 -1.433844 0.234903 10.807 -0.000022 -1.049285 0.330263 12.158 -0.000012 -0.555268 0.395204 13.509 0.000000 0.000000 0.419192 d(x) Axial Shear Moment 0.000 -20.525752 -590.267218 -175.346779 1.351 -16.420600 -474.809818 544.034509 2.702 -12.315448 -359.352418 1107.449815 4.053 -8.210296 -243.895018 1514.899138 5.403 -4.105144 -128.437618 1766.382479 6.754 0.000008 -12.980218 1861.899837 8.105 4.105160 102.477182 1801.451213 9.456 8.210312 217.934582 1585.036606 10.807 12.315464 333.391982 1212.656016 12.158 16.420616 448.849382 684.309444 13.509 20.499844 563.577669 -0.000001
Shear m fps M Mo285.059 0 0 -9.881445 0 0 0 C
304.05 -389.25 1.35 -12.91287 -389.25 2496.7548902 0 C322.504 -821.43 2.7 -15.17576 -821.43 2921.1734431 0 C340.955 -1269.54 4.05 -16.14632 -1269.54 3094.0362216 0 C
359 -1742.58 5.4 -17.34636 -1742.58 3308.9970622 0 C344.86 -2240.54 6.75 -17.27577 -2240.54 3279.1561279 0 CC396.32 -2763.44 8.1 -15.93455 -2763.44 3008.4095683 0 C414.77 -3311.266 9.45 -13.32269 -3311.266 2501.7799651 0433.23 -3884.01 10.8 -9.440188 -3884.01 1763.1343948 0451.68 -4481.7 12.15 -4.326273 -4481.7 803.188082 0470.03 -5104.31 13.5 -1.785002 -5104.31 327.95987503 0
-1003.36 -1771.47 16.5 -5.504305 -1771.47 0 0-789.55 919.54 19.5 -12.01309 919.54 2207.174212 0 C-575.74 2968.73 22.5 -16.66222 2968.73 3022.5291955 0 C-361.93 4376.1 25.5 -19.45169 4376.1 3498.3179254 1 C-148.77 5140.28 28.5 -20.38152 5140.28 3633.8760374 1 C
82.13 5140.28 31.5 -19.45169 5140.28 3437.8718274 1 C295.94 4572.05 34.5 -16.66222 4572.05 2918.9735914 1 C509.75 3362.76 37.5 -12.01309 3362.76 2086.4329166 1 C723.56 1511.64 40.5 -5.504305 1511.64 947.7027446 1 C937.37 -981.3 43.5 -1.785002 -981.3 304.64560273 0
46.549.552.555.558.561.5
1149.87 -4116.05 64.5-337.3 -4116.06 67.5
-296.29 -3165.099 70.5-255.28 -2337.242 73.5-214.27 -1632.488 74.85-173.26 -1050.839 76.2-132.25 -592.2934 77.55
-91.24 -256.8518 78.9-50.23 -44.51413 80.25
-9.22 44.71964 81.631.788 10.8495 82.95
72.55 -146.1223 84.3-491.88 -146.1223 85.65-395.67 453.3621 87-299.46 922.8748-203.45 1262.416-107.03 1471.985
-10.81 1551.58385.39 1501.209
181.61 1320.864
0 5 10 15 20 25 30 35 40 45 50
-6000
-4000
-2000
0
2000
4000
6000
mom
0 10 20 30 40 50 60 70 80 90 100
-500
-400
-300
-200
-100
0
100
200
300
400
cgs,e
cgs,e
277.82 1010.547-374.04 570.2579469.64 0
0 5 10 15 20 25 30 35 40 45 50
-6000
-4000
-2000
0
2000
4000
6000
mom
![c Copyright 2015 [Please consult the author] Notice ... · Finite Element Modelling of Lamb Wave Propagation in Prestress concrete and Effect of the Prestress force on the wave’s](https://img.pdfslide.us/doc/110x75/5eac76d3a43df830eb44c797/c-copyright-2015-please-consult-the-author-notice-finite-element-modelling.jpg)
