Calculo de perdidas en pretensado
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Fig I II III TOTAL Ai 2100 3600 1500 7200 Xi 35 35 35 Yi 15 90 165 AiXi 73500 126000 52500 252000 AiYi 31500 324000 247500 603000 Ixi 157500 4320000 112500 4590000 Iyi 857500 270000 312500 1440000 Dxi 68.75 6.25 81.25 Dyi 0 0 0 AiDxi2 9925781.25 140625 9902343.75 19968750 AiDyi2 0 0 0 0 PERDIDA 85% δCM δa = 34.41 δa = -95.06 δi = -85.13 δi = 82.71 PERDIDA 15% δCV δa = -6.07 δa = -22.05 δi = 15.02 δi = 19.18 6) VIGA EN SERVICIO S/CV (CM + CABLE + PERDIDA 15%) δa = -60.65 δi = -2.42
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Ejercicios de perdidas
Transcript of Calculo de perdidas en pretensado
Fig I II III TOTAL Ai 2100 3600 1500 7200Xi 35 35 35Yi 15 90 165
AiXi 73500 126000 52500 252000AiYi 31500 324000 247500 603000Ixi 157500 4320000 112500 4590000Iyi 857500 270000 312500 1440000Dxi 68.75 6.25 81.25Dyi 0 0 0
AiDxi2 9925781.25 140625 9902343.75 19968750AiDyi2 0 0 0 0
PERDIDA 85% δCM δa = 34.41 δa = -95.06δi = -85.13 δi = 82.71
PERDIDA 15% δCV δa = -6.07 δa = -22.05δi = 15.02 δi = 19.18
6) VIGA EN SERVICIO S/CV (CM + CABLE + PERDIDA 15%)δa = -60.65δi = -2.42
Ix = 24558750 COMBINACIONESIy = 1440000 1) CM + CABLE (PERDIDA 85%)
δa = -60.65W(i) = 293238.8059702 δi = -2.42
W(a) = 255155.84415582) CM + CABLE (PERDIDA 85%) + CV
Mcv = 56250 δa = -82.70Mcm = 242550 δi = 16.76
e = 76.75 3) CM + CABLEδa = -54.58 <
CABLE δi = -17.44 < δa = 40.48δi = -100.16 4) CM + CABLE + PERDIDA 15%
δa = -60.65 < δi = -2.42 <
5) CM + CABLE + PERDIDA 15% + CVδa = -82.70 < δi = 16.76 <
VIGA EN SERVICIO S/CV (CM + CABLE + PERDIDA 15%) 7) VIGA EN SERVICIO C/CV (CM + CABLE + PERDIDA 15% + CV)δa = -82.70δi = 16.76
CM + CABLE (PERDIDA 85%)
CM + CABLE (PERDIDA 85%) + CV
CHEQUEO275
OK275
CM + CABLE + PERDIDA 15%200
OK200
CM + CABLE + PERDIDA 15% + CV25 NO CUMPLE25 OK
VIGA EN SERVICIO C/CV (CM + CABLE + PERDIDA 15% + CV)
Fig I II III TOTAL Ai 2100 3600 1500 7200Xi 35 35 35Yi 15 90 165
AiXi 73500 126000 52500 252000AiYi 31500 324000 247500 603000Ixi 157500 4320000 112500 4590000Iyi 857500 270000 312500 1440000Dxi 68.75 6.25 81.25Dyi 0 0 0
AiDxi2 9925781.25 140625 9902343.75 19968750AiDyi2 0 0 0 0
PERDIDA 85% δCM δa = 35.12625973 δa = -82.7141548δi = -103.801821 δi = 95.05955108
PERDIDA 15% δCV δa = -6.19875172 δa = -19.1823179δi = 18.31796839 δi = 22.04535044
6) VIGA EN SERVICIO S/CV (CM + CABLE + PERDIDA 15%)δa = -47.5878951δi = -8.74226981
Ix = 24558750 COMBINACIONESIy = 1440000 1) CM + CABLE (PERDIDA 85%)
δa = -47.5878951W(i) = 255155.8442 δi = -8.74226981
W(a) = 293238.8062) CM + CABLE (PERDIDA 85%) + CV
Mcv = 56250 δa = -66.770213Mcm = 242550 δi = 13.30308062
e = 89.2 3) CM + CABLEδa = -41.3891434 <
CABLE δi = -27.0602382 < δa = 41.32501145δi = -122.119789 4) CM + CABLE + PERDIDA 15%
δa = -47.5878951 < δi = -8.74226981 <
5) CM + CABLE + PERDIDA 15% + CVδa = -66.770213 < δi = 13.30308062 <
VIGA EN SERVICIO S/CV (CM + CABLE + PERDIDA 15%) 7) VIGA EN SERVICIO C/CV (CM + CABLE + PERDIDA 15% + CV)δa = -66.770213δi = 13.30308062
CM + CABLE (PERDIDA 85%)
CM + CABLE (PERDIDA 85%) + CV
CHEQUEO275
OK275
CM + CABLE + PERDIDA 15%200
OK200
CM + CABLE + PERDIDA 15% + CV25 NO CUMPLE25 OK
VIGA EN SERVICIO C/CV (CM + CABLE + PERDIDA 15% + CV)
Fig I II III TOTAL Ai 2100 3600 1500 7200Xi 35 35 35Yi 15 90 165
AiXi 73500 126000 52500 252000AiYi 31500 324000 247500 603000Ixi 157500 4320000 112500 4590000Iyi 857500 270000 312500 1440000Dxi 68.75 6.25 81.25Dyi 0 0 0
AiDxi2 9925781.25 140625 9902343.75 19968750AiDyi2 0 0 0 0
PERDIDA 85% δCM δa = 26.10417621 δa = -82.7141548δi = -85.131954 δi = 82.71415483
PERDIDA 15% δCV δa = -4.60661933 δa = -19.1823179δi = 15.023286 δi = 19.18231791
6) VIGA EN SERVICIO S/CV (CM + CABLE + PERDIDA 15%)δa = -56.6099786δi = -2.41779916
Ix = 24558750 COMBINACIONESIy = 1440000 1) CM + CABLE (PERDIDA 85%)
δa = -56.6099786W(i) = 293238.806 δi = -2.41779916
W(a) = 293238.8062) CM + CABLE (PERDIDA 85%) + CV
Mcv = 56250 δa = -75.7922965Mcm = 242550 δi = 16.76451876
e = 76.75 3) CM + CABLEδa = -52.0033593 <
CABLE δi = -17.4410852 < δa = 30.71079554δi = -100.15524 4) CM + CABLE + PERDIDA 15%
δa = -56.6099786 < δi = -2.41779916 <
5) CM + CABLE + PERDIDA 15% + CVδa = -75.7922965 < δi = 16.76451876 <
VIGA EN SERVICIO S/CV (CM + CABLE + PERDIDA 15%) 7) VIGA EN SERVICIO C/CV (CM + CABLE + PERDIDA 15% + CV)δa = -75.7922965δi = 16.76451876
CM + CABLE (PERDIDA 85%)
CM + CABLE (PERDIDA 85%) + CV
CHEQUEO275
OK275
CM + CABLE + PERDIDA 15%200
OK200
CM + CABLE + PERDIDA 15% + CV25 NO CUMPLE25 OK
VIGA EN SERVICIO C/CV (CM + CABLE + PERDIDA 15% + CV)
Fig I II III TOTAL Ai 2100 3600 1500 7200Xi 35 35 35Yi 15 90 165
AiXi 73500 126000 52500 252000AiYi 31500 324000 247500 603000Ixi 157500 4320000 112500 4590000Iyi 857500 270000 312500 1440000Dxi 68.75 6.25 81.25Dyi 0 0 0
AiDxi2 9925781.25 140625 9902343.75 19968750AiDyi2 0 0 0 0
PERDIDA 85% δCM δa = 44.73545198 δa = -95.0101695δi = -103.76323 δi = 95.01016949
PERDIDA 15% δCV δa = -7.89449153 δa = -22.0338983δi = 18.31115819 δi = 22.03389831
6) VIGA EN SERVICIO S/CV (CM + CABLE + PERDIDA 15%)δa = -50.2747175δi = -8.75306026
Ix = 24558750 COMBINACIONESIy = 1440000 1) CM + CABLE (PERDIDA 85%)
δa = -50.2747175W(i) = 255288.4615 δi = -8.75306026
W(a) = 255288.46152) CM + CABLE (PERDIDA 85%) + CV
Mcv = 56250 δa = -72.3086158Mcm = 242550 δi = 13.28083804
e = 89.2 3) CM + CABLEδa = -42.380226 <
CABLE δi = -27.0642185 < δa = 52.6299435δi = -122.074388 4) CM + CABLE + PERDIDA 15%
δa = -50.2747175 < δi = -8.75306026 <
5) CM + CABLE + PERDIDA 15% + CVδa = -72.3086158 < δi = 13.28083804 <
VIGA EN SERVICIO S/CV (CM + CABLE + PERDIDA 15%) 7) VIGA EN SERVICIO C/CV (CM + CABLE + PERDIDA 15% + CV)δa = -72.3086158δi = 13.28083804
CM + CABLE (PERDIDA 85%)
CM + CABLE (PERDIDA 85%) + CV
CHEQUEO275
OK275
CM + CABLE + PERDIDA 15%200
OK200
CM + CABLE + PERDIDA 15% + CV25 NO CUMPLE25 OK
VIGA EN SERVICIO C/CV (CM + CABLE + PERDIDA 15% + CV)
Fig I II III TOTAL Ai 2100 3600 1500 7200Xi 35 35 35Yi 15 90 165
AiXi 73500 126000 52500 252000AiYi 31500 324000 247500 603000Ixi 157500 4320000 112500 4590000Iyi 857500 270000 312500 1440000Dxi 68.75 6.25 81.25Dyi 0 0 0
AiDxi2 9925781.25 140625 9902343.75 19968750AiDyi2 0 0 0 0
PERDIDA 85% δCM δa = 312.4855324 δa = -508.615196δi = -327.097801 δi = 442.5612745
PERDIDA 15% δCV δa = -55.1445057 δa = -117.953431δi = 57.72314134 δi = 102.6348039
6) VIGA EN SERVICIO S/CV (CM + CABLE + PERDIDA 15%)δa = -196.129664δi = 115.4634736
Ix = 24558750 COMBINACIONESIy = 1440000 1) CM + CABLE (PERDIDA 85%)
δa = -196.129664W(i) = 54805.97015 δi = 115.4634736
W(a) = 47688.311692) CM + CABLE (PERDIDA 85%) + CV
Mcv = 56250 δa = -314.083095Mcm = 242550 δi = 218.0982775
e = 76.75 3) CM + CABLEδa = -140.985158 <
CABLE δi = 57.74033224 < δa = 367.6300381δi = -384.820942 4) CM + CABLE + PERDIDA 15%
δa = -196.129664 < δi = 115.4634736 <
5) CM + CABLE + PERDIDA 15% + CVδa = -314.083095 < δi = 218.0982775 <
VIGA EN SERVICIO S/CV (CM + CABLE + PERDIDA 15%) 7) VIGA EN SERVICIO C/CV (CM + CABLE + PERDIDA 15% + CV)δa = -314.083095δi = 218.0982775
CM + CABLE (PERDIDA 85%)
CM + CABLE (PERDIDA 85%) + CV
CHEQUEO275
OK275
CM + CABLE + PERDIDA 15%200
OK200
CM + CABLE + PERDIDA 15% + CV25
NO CUMPLE25
VIGA EN SERVICIO C/CV (CM + CABLE + PERDIDA 15% + CV)
Fig I II III TOTAL Ai 2100 3600 1500 7200Xi 35 35 35Yi 15 90 165
AiXi 73500 126000 52500 252000AiYi 31500 324000 247500 603000Ixi 157500 4320000 112500 4590000Iyi 857500 270000 312500 1440000Dxi 68.75 6.25 81.25Dyi 0 0 0
AiDxi2 9925781.25 140625 9902343.75 19968750AiDyi2 0 0 0 0
PERDIDA 85% δCM δa = 316.3425926 δa = -442.561275δi = -426.990741 δi = 508.6151961
PERDIDA 15% δCV δa = -55.8251634 δa = -102.634804δi = 75.35130719 δi = 117.9534314
6) VIGA EN SERVICIO S/CV (CM + CABLE + PERDIDA 15%)δa = -126.218682δi = 81.62445534
Ix = 24558750 COMBINACIONESIy = 1440000 1) CM + CABLE (PERDIDA 85%)
δa = -126.218682W(i) = 47688.31169 δi = 81.62445534
W(a) = 54805.970152) CM + CABLE (PERDIDA 85%) + CV
Mcv = 56250 δa = -228.853486Mcm = 242550 δi = 199.5778867
e = 89.2 3) CM + CABLEδa = -70.3935185 <
CABLE δi = 6.273148148 < δa = 372.167756δi = -502.342048 4) CM + CABLE + PERDIDA 15%
δa = -126.218682 < δi = 81.62445534 <
5) CM + CABLE + PERDIDA 15% + CVδa = -228.853486 < δi = 199.5778867 <
VIGA EN SERVICIO S/CV (CM + CABLE + PERDIDA 15%) 7) VIGA EN SERVICIO C/CV (CM + CABLE + PERDIDA 15% + CV)δa = -228.853486δi = 199.5778867
CM + CABLE (PERDIDA 85%)
CM + CABLE (PERDIDA 85%) + CV
CHEQUEO275
OK275
CM + CABLE + PERDIDA 15%200
OK200
CM + CABLE + PERDIDA 15% + CV25
NO CUMPLE25
VIGA EN SERVICIO C/CV (CM + CABLE + PERDIDA 15% + CV)
Fig I II III TOTAL Ai 2100 3600 1500 7200Xi 35 35 35Yi 15 90 165
AiXi 73500 126000 52500 252000AiYi 31500 324000 247500 603000Ixi 157500 4320000 112500 4590000Iyi 857500 270000 312500 1440000Dxi 68.75 6.25 81.25Dyi 0 0 0
AiDxi2 9925781.25 140625 9902343.75 19968750AiDyi2 0 0 0 0
PERDIDA 85% δCM δa = 268.0700231 δa = -442.561275δi = -327.097801 δi = 442.5612745
PERDIDA 15% δCV δa = -47.3064747 δa = -102.634804δi = 57.72314134 δi = 102.6348039
6) VIGA EN SERVICIO S/CV (CM + CABLE + PERDIDA 15%)δa = -174.491251δi = 115.4634736
Ix = 24558750 COMBINACIONESIy = 1440000 1) CM + CABLE (PERDIDA 85%)
δa = -174.491251W(i) = 54805.97015 δi = 115.4634736
W(a) = 47688.311692) CM + CABLE (PERDIDA 85%) + CV
Mcv = 56250 δa = -277.126055Mcm = 242550 δi = 218.0982775
e = 76.75 3) CM + CABLEδa = -127.184777 <
CABLE δi = 57.74033224 < δa = 315.3764978δi = -384.820942 4) CM + CABLE + PERDIDA 15%
δa = -174.491251 < δi = 115.4634736 <
5) CM + CABLE + PERDIDA 15% + CVδa = -277.126055 < δi = 218.0982775 <
VIGA EN SERVICIO S/CV (CM + CABLE + PERDIDA 15%) 7) VIGA EN SERVICIO C/CV (CM + CABLE + PERDIDA 15% + CV)δa = -277.126055δi = 218.0982775
CM + CABLE (PERDIDA 85%)
CM + CABLE (PERDIDA 85%) + CV
CHEQUEO275
OK275
CM + CABLE + PERDIDA 15%200
OK200
CM + CABLE + PERDIDA 15% + CV25
NO CUMPLE25
VIGA EN SERVICIO C/CV (CM + CABLE + PERDIDA 15% + CV)
Fig I II III TOTAL Ai 2100 3600 1500 7200Xi 35 35 35Yi 15 90 165
AiXi 73500 126000 52500 252000AiYi 31500 324000 247500 603000Ixi 157500 4320000 112500 4590000Iyi 857500 270000 312500 1440000Dxi 68.75 6.25 81.25Dyi 0 0 0
AiDxi2 9925781.25 140625 9902343.75 19968750AiDyi2 0 0 0 0
PERDIDA 85% δCM δa = 367.962963 δa = -508.615196δi = -426.990741 δi = 508.6151961
PERDIDA 15% δCV δa = -64.9346405 δa = -117.953431δi = 75.35130719 δi = 117.9534314
6) VIGA EN SERVICIO S/CV (CM + CABLE + PERDIDA 15%)δa = -140.652233δi = 81.62445534
Ix = 24558750 COMBINACIONESIy = 1440000 1) CM + CABLE (PERDIDA 85%)
δa = -140.652233W(i) = 47688.31169 δi = 81.62445534
W(a) = 47688.311692) CM + CABLE (PERDIDA 85%) + CV
Mcv = 56250 δa = -258.605664Mcm = 242550 δi = 199.5778867
e = 89.2 3) CM + CABLEδa = -75.7175926 <
CABLE δi = 6.273148148 < δa = 432.8976035δi = -502.342048 4) CM + CABLE + PERDIDA 15%
δa = -140.652233 < δi = 81.62445534 <
5) CM + CABLE + PERDIDA 15% + CVδa = -258.605664 < δi = 199.5778867 <
VIGA EN SERVICIO S/CV (CM + CABLE + PERDIDA 15%) 7) VIGA EN SERVICIO C/CV (CM + CABLE + PERDIDA 15% + CV)δa = -258.605664δi = 199.5778867
CM + CABLE (PERDIDA 85%)
CM + CABLE (PERDIDA 85%) + CV
CHEQUEO275
OK275
CM + CABLE + PERDIDA 15%200
OK200
CM + CABLE + PERDIDA 15% + CV25
NO CUMPLE25
VIGA EN SERVICIO C/CV (CM + CABLE + PERDIDA 15% + CV)
