viga conjugada ej 8.11

1
P2 P1 b a x a b P1 P2 E I LT L1 x1 ∆x ∆x acum. M1/EI AREA AREA 2X/3 X/3 GIRO 1 DEFLEXION 1 L2 x2 ∆x ∆x acum. M2/EI AREA AREA 2X/3 X/3 GIRO 2 DEFLEXION 2 x GIRO DEFLEXION - 3 2 135 90 138000000 0.00083 6.00 6.00 - 0.25 6.00 - 0.02122 - 4.00 2.00 0.02122 0.08486 3.00 - - 3.00 - 0.00354 - 2.00 1.00 0.00354 0.01768 - 0.02475 0.10254 0.25 3 2 135 90 138000000 0.00083 6.00 6.00 0.25 0.25 5.75 0.00029 0.02033 0.00085 3.83 1.92 0.02118 0.07956 3.00 - - 3.00 - 0.00354 - 2.00 1.00 0.00354 0.01680 0.25 0.02471 0.09636 0.50 3 2 135 90 138000000 0.00083 6.00 6.00 0.50 0.25 5.50 0.00059 0.01945 0.00162 3.67 1.83 0.02107 0.07428 3.00 - - 3.00 - 0.00354 - 2.00 1.00 0.00354 0.01591 0.50 0.02460 0.09019 0.75 3 2 135 90 138000000 0.00083 6.00 6.00 0.75 0.25 5.25 0.00088 0.01856 0.00232 3.50 1.75 0.02088 0.06903 3.00 - - 3.00 - 0.00354 - 2.00 1.00 0.00354 0.01503 0.75 0.02442 0.08406 1.00 3 2 135 90 138000000 0.00083 6.00 6.00 1.00 0.25 5.00 0.00118 0.01768 0.00295 3.33 1.67 0.02063 0.06384 3.00 - - 3.00 - 0.00354 - 2.00 1.00 0.00354 0.01414 1.00 0.02416 0.07799 1.25 3 2 135 90 138000000 0.00083 6.00 6.00 1.25 0.25 4.75 0.00147 0.01680 0.00350 3.17 1.58 0.02029 0.05873 3.00 - - 3.00 - 0.00354 - 2.00 1.00 0.00354 0.01326 1.25 0.02383 0.07199 1.50 3 2 135 90 138000000 0.00083 6.00 6.00 1.50 0.25 4.50 0.00177 0.01591 0.00398 3.00 1.50 0.01989 0.05370 3.00 - - 3.00 - 0.00354 - 2.00 1.00 0.00354 0.01238 1.50 0.02343 0.06608 1.75 3 2 135 90 138000000 0.00083 6.00 6.00 1.75 0.25 4.25 0.00206 0.01503 0.00438 2.83 1.42 0.01941 0.04879 3.00 - - 3.00 - 0.00354 - 2.00 1.00 0.00354 0.01149 1.75 0.02295 0.06028 2.00 3 2 135 90 138000000 0.00083 6.00 6.00 2.00 0.25 4.00 0.00236 0.01414 0.00471 2.67 1.33 0.01886 0.04400 3.00 - - 3.00 - 0.00354 - 2.00 1.00 0.00354 0.01061 2.00 0.02239 0.05461 2.25 3 2 135 90 138000000 0.00083 6.00 6.00 2.25 0.25 3.75 0.00265 0.01326 0.00497 2.50 1.25 0.01823 0.03936 3.00 - - 3.00 - 0.00354 - 2.00 1.00 0.00354 0.00972 2.25 0.02177 0.04909 2.50 3 2 135 90 138000000 0.00083 6.00 6.00 2.50 0.25 3.50 0.00295 0.01238 0.00516 2.33 1.17 0.01753 0.03489 3.00 - - 3.00 - 0.00354 - 2.00 1.00 0.00354 0.00884 2.50 0.02107 0.04373 2.75 3 2 135 90 138000000 0.00083 6.00 6.00 2.75 0.25 3.25 0.00324 0.01149 0.00527 2.17 1.08 0.01676 0.03060 3.00 - - 3.00 - 0.00354 - 2.00 1.00 0.00354 0.00796 2.75 0.02029 0.03856 3.00 3 2 135 90 138000000 0.00083 6.00 6.00 3.00 0.25 3.00 0.00354 0.01061 0.00530 2.00 1.00 0.01591 0.02652 3.00 - 0.25 3.00 - 0.00354 - 2.00 1.00 0.00354 0.00707 3.00 0.01945 0.03359 3.25 3 2 135 90 138000000 0.00083 6.00 6.00 3.25 0.25 2.75 0.00383 0.00972 0.00527 1.83 0.92 0.01499 0.02265 3.00 0.25 0.25 2.75 0.00020 0.00324 0.00027 1.83 0.92 0.00351 0.00619 3.25 0.01850 0.02884 3.50 3 2 135 90 138000000 0.00083 6.00 6.00 3.50 0.25 2.50 0.00413 0.00884 0.00516 1.67 0.83 0.01400 0.01903 3.00 0.50 0.25 2.50 0.00039 0.00295 0.00049 1.67 0.83 0.00344 0.00532 3.50 0.01743 0.02435 3.75 3 2 135 90 138000000 0.00083 6.00 6.00 3.75 0.25 2.25 0.00442 0.00796 0.00497 1.50 0.75 0.01293 0.01566 3.00 0.75 0.25 2.25 0.00059 0.00265 0.00066 1.50 0.75 0.00331 0.00448 3.75 0.01624 0.02014 4.00 3 2 135 90 138000000 0.00083 6.00 6.00 4.00 0.25 2.00 0.00471 0.00707 0.00471 1.33 0.67 0.01179 0.01257 3.00 1.00 0.25 2.00 0.00079 0.00236 0.00079 1.33 0.67 0.00314 0.00367 4.00 0.01493 0.01624 4.25 3 2 135 90 138000000 0.00083 6.00 6.00 4.25 0.25 1.75 0.00501 0.00619 0.00438 1.17 0.58 0.01057 0.00978 3.00 1.25 0.25 1.75 0.00098 0.00206 0.00086 1.17 0.58 0.00292 0.00291 4.25 0.01349 0.01268 4.50 3 2 135 90 138000000 0.00083 6.00 6.00 4.50 0.25 1.50 0.00530 0.00530 0.00398 1.00 0.50 0.00928 0.00729 3.00 1.50 0.25 1.50 0.00118 0.00177 0.00088 1.00 0.50 0.00265 0.00221 4.50 0.01193 0.00950 4.75 3 2 135 90 138000000 0.00083 6.00 6.00 4.75 0.25 1.25 0.00560 0.00442 0.00350 0.83 0.42 0.00792 0.00514 3.00 1.75 0.25 1.25 0.00138 0.00147 0.00086 0.83 0.42 0.00233 0.00159 4.75 0.01025 0.00673 5.00 3 2 135 90 138000000 0.00083 6.00 6.00 5.00 0.25 1.00 0.00589 0.00354 0.00295 0.67 0.33 0.00648 0.00334 3.00 2.00 0.25 1.00 0.00157 0.00118 0.00079 0.67 0.33 0.00196 0.00105 5.00 0.00845 0.00439 5.25 3 2 135 90 138000000 0.00083 6.00 6.00 5.25 0.25 0.75 0.00619 0.00265 0.00232 0.50 0.25 0.00497 0.00191 3.00 2.25 0.25 0.75 0.00177 0.00088 0.00066 0.50 0.25 0.00155 0.00061 5.25 0.00652 0.00251 5.50 3 2 135 90 138000000 0.00083 6.00 6.00 5.50 0.25 0.50 0.00648 0.00177 0.00162 0.33 0.17 0.00339 0.00086 3.00 2.50 0.25 0.50 0.00196 0.00059 0.00049 0.33 0.17 0.00108 0.00028 5.50 0.00447 0.00114 5.75 3 2 135 90 138000000 0.00083 6.00 6.00 5.75 0.25 0.25 0.00678 0.00088 0.00085 0.17 0.08 0.00173 0.00022 3.00 2.75 0.25 0.25 0.00216 0.00029 0.00027 0.17 0.08 0.00056 0.00007 5.75 0.00230 0.00029 6.00 3 2 135 90 138000000 0.00083 6.00 6.00 6.00 0.00707 - - - - - - 3.00 3.00 0.00236 - - - - - - 6.00 - -

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8.11P2P1baxabcP1P2P3EILTL1x1xx acum.M1/EIAREAAREA2X/3X/3GIRO 1DEFLEXION 1L2x2xx acum.M2/EIAREAAREA2X/3X/3GIRO 2DEFLEXION 2xGIRODEFLEXION0.03201359001380000000.000836.006.000.00.256.000.00.021220.04.002.000.021220.084863.000.00.03.000.00.003540.02.001.000.003540.017680.00.024750.102540.253201359001380000000.000836.006.000.250.255.750.000290.020330.000853.831.920.021180.079563.000.00.03.000.00.003540.02.001.000.003540.016800.250.024710.096360.503201359001380000000.000836.006.000.500.255.500.000590.019450.001623.671.830.021070.074283.000.00.03.000.00.003540.02.001.000.003540.015910.500.024600.090190.753201359001380000000.000836.006.000.750.255.250.000880.018560.002323.501.750.020880.069033.000.00.03.000.00.003540.02.001.000.003540.015030.750.024420.084061.003201359001380000000.000836.006.001.000.255.000.001180.017680.002953.331.670.020630.063843.000.00.03.000.00.003540.02.001.000.003540.014141.000.024160.077991.253201359001380000000.000836.006.001.250.254.750.001470.016800.003503.171.580.020290.058733.000.00.03.000.00.003540.02.001.000.003540.013261.250.023830.071991.503201359001380000000.000836.006.001.500.254.500.001770.015910.003983.001.500.019890.053703.000.00.03.000.00.003540.02.001.000.003540.012381.500.023430.066081.753201359001380000000.000836.006.001.750.254.250.002060.015030.004382.831.420.019410.048793.000.00.03.000.00.003540.02.001.000.003540.011491.750.022950.060282.003201359001380000000.000836.006.002.000.254.000.002360.014140.004712.671.330.018860.044003.000.00.03.000.00.003540.02.001.000.003540.010612.000.022390.054612.253201359001380000000.000836.006.002.250.253.750.002650.013260.004972.501.250.018230.039363.000.00.03.000.00.003540.02.001.000.003540.009722.250.021770.049092.503201359001380000000.000836.006.002.500.253.500.002950.012380.005162.331.170.017530.034893.000.00.03.000.00.003540.02.001.000.003540.008842.500.021070.043732.753201359001380000000.000836.006.002.750.253.250.003240.011490.005272.171.080.016760.030603.000.00.03.000.00.003540.02.001.000.003540.007962.750.020290.038563.003201359001380000000.000836.006.003.000.253.000.003540.010610.005302.001.000.015910.026523.000.00.253.000.00.003540.02.001.000.003540.007073.000.019450.033593.253201359001380000000.000836.006.003.250.252.750.003830.009720.005271.830.920.014990.022653.000.250.252.750.000200.003240.000271.830.920.003510.006193.250.018500.028843.503201359001380000000.000836.006.003.500.252.500.004130.008840.005161.670.830.014000.019033.000.500.252.500.000390.002950.000491.670.830.003440.005323.500.017430.024353.753201359001380000000.000836.006.003.750.252.250.004420.007960.004971.500.750.012930.015663.000.750.252.250.000590.002650.000661.500.750.003310.004483.750.016240.020144.003201359001380000000.000836.006.004.000.252.000.004710.007070.004711.330.670.011790.012573.001.000.252.000.000790.002360.000791.330.670.003140.003674.000.014930.016244.253201359001380000000.000836.006.004.250.251.750.005010.006190.004381.170.580.010570.009783.001.250.251.750.000980.002060.000861.170.580.002920.002914.250.013490.012684.503201359001380000000.000836.006.004.500.251.500.005300.005300.003981.000.500.009280.007293.001.500.251.500.001180.001770.000881.000.500.002650.002214.500.011930.009504.753201359001380000000.000836.006.004.750.251.250.005600.004420.003500.830.420.007920.005143.001.750.251.250.001380.001470.000860.830.420.002330.001594.750.010250.006735.003201359001380000000.000836.006.005.000.251.000.005890.003540.002950.670.330.006480.003343.002.000.251.000.001570.001180.000790.670.330.001960.001055.000.008450.004395.253201359001380000000.000836.006.005.250.250.750.006190.002650.002320.500.250.004970.001913.002.250.250.750.001770.000880.000660.500.250.001550.000615.250.006520.002515.503201359001380000000.000836.006.005.500.250.500.006480.001770.001620.330.170.003390.000863.002.500.250.500.001960.000590.000490.330.170.001080.000285.500.004470.001145.753201359001380000000.000836.006.005.750.250.250.006780.000880.000850.170.080.001730.000223.002.750.250.250.002160.000290.000270.170.080.000560.000075.750.002300.000296.003201359001380000000.000836.006.006.000.007070.00.00.00.00.00.03.003.000.002360.00.00.00.00.00.06.000.00.0