7
Momento no topo 6 Tf.m Carga centrada 30 Tf EI 1000 Tf.m² Comprimento 4 m Precisão 1E-22 Iteração 0 0.000000 0.000000 0.048000 6.000000 1 0.360000 0.007680 0.055680 7.670400 2 0.417600 0.008909 0.056909 7.707264 3 0.426816 0.009105 0.057105 7.713162 4 0.428291 0.009137 0.057137 7.714106 5 0.428526 0.009142 0.057142 7.714257 6 0.428564 0.009143 0.057143 7.714281 7 0.428570 0.009143 0.057143 7.714285 8 0.428571 0.009143 0.057143 7.714286 9 0.428571 0.009143 0.057143 7.714286 10 0.428571 0.009143 0.057143 7.714286 11 0.428571 0.009143 0.057143 7.714286 12 0.428571 0.009143 0.057143 7.714286 13 0.428571 0.009143 0.057143 7.714286 14 0.428571 0.009143 0.057143 7.714286 15 0.428571 0.009143 0.057143 7.714286 16 0.428571 0.009143 0.057143 7.714286 17 0.428571 0.009143 0.057143 7.714286 18 0.428571 0.009143 0.057143 7.714286 0 0.000000 0.000000 0.000000 0.000000 0 0.000000 0.000000 0.000000 0.000000 0 0.000000 0.000000 0.000000 0.000000 0 0.000000 0.000000 0.000000 0.000000 0 0.000000 0.000000 0.000000 0.000000 0 0.000000 0.000000 0.000000 0.000000 HF=(P*ai-1)/L∆ai=(Hi*L³)/(3EI) ai = a0 + ∆ai Mi = M0 + P*ai Hf P M P L Hf M

Pdelta Renato

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DESCRIPTION

cálculo de momento de segunda ordem por p delta

Citation preview

Exemplo 01

Momento no topo6Tf.mCarga centrada30TfEI1000Tf.mComprimento4mPreciso0

IteraoHF=(P*ai-1)/Lai=(Hi*L)/(3EI)ai = a0 + aiMi = M0 + P*ai00.0000000.0000000.0480006.00000010.3600000.0076800.0556807.67040020.4176000.0089090.0569097.70726430.4268160.0091050.0571057.71316240.4282910.0091370.0571377.71410650.4285260.0091420.0571427.71425760.4285640.0091430.0571437.71428170.4285700.0091430.0571437.71428580.4285710.0091430.0571437.71428690.4285710.0091430.0571437.714286100.4285710.0091430.0571437.714286110.4285710.0091430.0571437.714286120.4285710.0091430.0571437.714286130.4285710.0091430.0571437.714286140.4285710.0091430.0571437.714286150.4285710.0091430.0571437.714286160.4285710.0091430.0571437.714286170.4285710.0091430.0571437.714286180.4285710.0091430.0571437.714286190.4285710.0091430.0571437.71428600.0000000.0000000.0000000.00000000.0000000.0000000.0000000.00000000.0000000.0000000.0000000.00000000.0000000.0000000.0000000.00000000.0000000.0000000.0000000.000000

M

Exemplo 02

Horizontal no topo1.5TfCarga centrada30TfEI1000Tf.mComprimento4mPreciso0

IteraoHF=(P*ai-1)/Lai=(Hi*L)/(3EI)ai = a0 + aiMi = M0 + P*ai00.0000000.0000000.0320006.00000010.2400000.0051200.0371207.11360020.2784000.0059390.0379397.13817630.2845440.0060700.0380707.14210840.2855270.0060910.0380917.14273750.2856840.0060950.0380957.14283860.2857090.0060950.0380957.14285470.2857140.0060950.0380957.14285780.2857140.0060950.0380957.14285790.2857140.0060950.0380957.142857100.2857140.0060950.0380957.142857110.2857140.0060950.0380957.142857120.2857140.0060950.0380957.142857130.2857140.0060950.0380957.142857140.2857140.0060950.0380957.142857150.2857140.0060950.0380957.142857160.2857140.0060950.0380957.142857170.2857140.0060950.0380957.142857180.2857140.0060950.0380957.142857190.2857140.0060950.0380957.14285700.0000000.0000000.0000000.00000000.0000000.0000000.0000000.00000000.0000000.0000000.0000000.00000000.0000000.0000000.0000000.00000000.0000000.0000000.0000000.000000

HM

Exemplo 03

q0.75Tf/mCarga centrada30TfEI1000Tf.mComprimento4mPreciso0

IteraoHF=(P*ai-1)/Lai=(Hi*L)/(3EI)ai = a0 + aiMi = M0 + P*ai00.0000000.0000000.0240006.00000010.1800000.0038400.0278406.83520020.2088000.0044540.0284546.85363230.2134080.0045530.0285536.85658140.2141450.0045680.0285686.85705350.2142630.0045710.0285716.85712860.2142820.0045710.0285716.85714170.2142850.0045710.0285716.85714280.2142860.0045710.0285716.85714390.2142860.0045710.0285716.857143100.2142860.0045710.0285716.857143110.2142860.0045710.0285716.857143120.2142860.0045710.0285716.857143130.2142860.0045710.0285716.857143140.2142860.0045710.0285716.857143150.2142860.0045710.0285716.857143160.2142860.0045710.0285716.857143170.2142860.0045710.0285716.857143180.2142860.0045710.0285716.857143190.2142860.0045710.0285716.85714300.0000000.0000000.0000000.00000000.0000000.0000000.0000000.00000000.0000000.0000000.0000000.00000000.0000000.0000000.0000000.00000000.0000000.0000000.0000000.000000

qM

Exemplo 04

Momento topo6Tf.mCarga centrada30TfEI1000Tf.mComprimento8mPreciso0

IteraoHFs=(P*ai-1)/LHFi=(P*ai-1)/Lai=((HFs+HFi)*L)/(48EI)ai = a0 + aiMi = M0 + P*ai00.0000000.0000000.0000000.0480006.00000010.3600000.3600000.0076800.0556807.67040020.4176000.4176000.0089090.0569097.70726430.4268160.4268160.0091050.0571057.71316240.4282910.4282910.0091370.0571377.71410650.4285260.4285260.0091420.0571427.71425760.4285640.4285640.0091430.0571437.71428170.4285700.4285700.0091430.0571437.71428580.4285710.4285710.0091430.0571437.71428690.4285710.4285710.0091430.0571437.714286100.4285710.4285710.0091430.0571437.714286110.4285710.4285710.0091430.0571437.714286120.4285710.4285710.0091430.0571437.714286130.4285710.4285710.0091430.0571437.714286140.4285710.4285710.0091430.0571437.714286150.4285710.4285710.0091430.0571437.714286160.4285710.4285710.0091430.0571437.714286170.4285710.4285710.0091430.0571437.714286180.4285710.4285710.0091430.0571437.714286190.4285710.4285710.0091430.0571437.71428600.0000000.0000000.0000000.0000000.00000000.0000000.0000000.0000000.0000000.00000000.0000000.0000000.0000000.0000000.00000000.0000000.0000000.0000000.0000000.00000000.0000000.0000000.0000000.0000000.000000

HfsHfsMM

Exemplo 05

Fora no eixo3TfCarga centrada30TfEI1000Tf.mComprimento8mPreciso0

IteraoHFs=(P*ai-1)/LHFi=(P*ai-1)/Lai=((HFs+HFi)*L)/(48EI)ai = a0 + aiMi = M0 + P*ai00.0000000.0000000.0000000.0320006.00000010.2400000.2400000.0051200.0371207.11360020.2784000.2784000.0059390.0379397.13817630.2845440.2845440.0060700.0380707.14210840.2855270.2855270.0060910.0380917.14273750.2856840.2856840.0060950.0380957.14283860.2857090.2857090.0060950.0380957.14285470.2857140.2857140.0060950.0380957.14285780.2857140.2857140.0060950.0380957.14285790.2857140.2857140.0060950.0380957.142857100.2857140.2857140.0060950.0380957.142857110.2857140.2857140.0060950.0380957.142857120.2857140.2857140.0060950.0380957.142857130.2857140.2857140.0060950.0380957.142857140.2857140.2857140.0060950.0380957.142857150.2857140.2857140.0060950.0380957.142857160.2857140.2857140.0060950.0380957.142857170.2857140.2857140.0060950.0380957.142857180.2857140.2857140.0060950.0380957.142857190.2857140.2857140.0060950.0380957.14285700.0000000.0000000.0000000.0000000.00000000.0000000.0000000.0000000.0000000.00000000.0000000.0000000.0000000.0000000.00000000.0000000.0000000.0000000.0000000.00000000.0000000.0000000.0000000.0000000.000000

HfsHfsMH

Exerccio a

Fi1i = Fi1o+Hs*(Ls^3-3*Ls*Lt^2+2*Lt^3)/(6*EI)Carga 10.8TfFs1i =Fs1o+Hs*(Lt^3)/(3*EI)Carga 20.4TfFi2i =Fi2o+(Hi-Hs)*(Li^3)/(3*EI)Carga centrada30EFs2i =Fs2o+((Hi-Hs)*(Li^3))/(3*EI)+Ls*(((Hi-Hs)*Li^2)/(2*EI))EI1000Tf.mLs1mLi3mPreciso0.0000001Ltotal4m

IteraoHs=(P*ai-1)/L1Hi=(P*as-1)/L2Fi1iFs1iFi2iFs2iFiFsaibiMB = M0 + P*Fs00.00000000.00000000.01080000.01706670.00360000.00540000.01440000.02246670.00806670.01440004.400000010.24200000.14400000.01406700.02222930.00271800.00407700.01678500.02630630.00952130.01678505.189190020.28564000.16785000.01465610.02316030.00253990.00380980.01719600.02697020.00977410.01719605.209104730.29322380.17196030.01475850.02332210.00250860.00376290.01726710.02708510.00981790.01726715.212551540.29453700.17267150.01477620.02335010.00250320.00375480.01727950.02710490.00982550.01727955.213148250.29476440.17279460.01477930.02335500.00250230.00375340.01728160.02710840.00982680.01728165.213251460.29480370.17281590.01477990.02335580.00250210.00375320.01728200.02710900.00982700.01728205.213269370.29481050.17281960.01477990.02335600.00250210.00375310.01728200.02710910.00982710.01728205.213272480.29481170.17282020.01478000.02335600.00250210.00375310.01728200.02710910.00982710.01728205.213272990.29481190.17282030.01478000.02335600.00250210.00375310.01728200.02710910.00982710.01728205.213273000.00000000.00000000.00000000.00000000.00000000.00000000.00000000.00000000.00000000.00000000.000000000.00000000.00000000.00000000.00000000.00000000.00000000.00000000.00000000.00000000.00000000.000000000.00000000.00000000.00000000.00000000.00000000.00000000.00000000.00000000.00000000.00000000.000000000.00000000.00000000.00000000.00000000.00000000.00000000.00000000.00000000.00000000.00000000.000000000.00000000.00000000.00000000.00000000.00000000.00000000.00000000.00000000.00000000.00000000.000000000.00000000.00000000.00000000.00000000.00000000.00000000.00000000.00000000.00000000.00000000.000000000.00000000.00000000.00000000.00000000.00000000.00000000.00000000.00000000.00000000.00000000.000000000.00000000.00000000.00000000.00000000.00000000.00000000.00000000.00000000.00000000.00000000.000000000.00000000.00000000.00000000.00000000.00000000.00000000.00000000.00000000.00000000.00000000.000000000.00000000.00000000.00000000.00000000.00000000.00000000.00000000.00000000.00000000.00000000.000000000.00000000.00000000.00000000.00000000.00000000.00000000.00000000.00000000.00000000.00000000.000000000.00000000.00000000.00000000.00000000.00000000.00000000.00000000.00000000.00000000.00000000.000000000.00000000.00000000.00000000.00000000.00000000.00000000.00000000.00000000.00000000.00000000.000000000.00000000.00000000.00000000.00000000.00000000.00000000.00000000.00000000.00000000.00000000.000000000.00000000.00000000.00000000.00000000.00000000.00000000.00000000.00000000.00000000.00000000.00000000.00000000.00000000.0000000

Nome: Renato Encinas Lopes

MLsPPPbiBLs

Exerccio b

Carga 10.8TfCarga 20.4TfFi1i =Fi1o+(Hs+Hm)*(0,8625/100)Carga centrada30EFs1i =Fs1o+(Hs+Hm)*(0,9375/100)EI1000Tf.mFi2i =Fi2o+(Hi-Hm)*(0,9375/100)Ls3mFs2i =Fs20+(Hi-Hm)*(0,8625/100)Lm2mLi3mPreciso0.00001Ltotal8m

IteraoHs=(P*ai-1)/L1Hm=(P*ai-1)/L1Hi=(P*as-1)/L2Fi1iFs1iFi2iFs2iFiFsaibiciMd Mc 00.000000.000000.000000.006900.007500.003750.003450.010650.010950.010950.010650.000301.950001.6500010.109500.004500.106500.007880.008570.004710.004330.012590.012900.012900.012590.000312.278501.9695020.128990.004640.125900.008050.008750.004890.004500.012940.013250.013250.012940.000312.336962.0276930.132490.004640.129390.008080.008790.004920.004530.013000.013310.013310.013000.000312.347462.0381840.133120.004640.130020.008090.008790.004930.004530.013010.013320.013320.013010.000312.349352.0400750.133230.004640.130140.008090.008790.004930.004530.013020.013320.013320.013020.000312.349692.0404160.133250.004640.130160.008090.008790.004930.004530.013020.013330.013330.013020.000312.349752.0404770.133250.004640.130160.008090.008790.004930.004530.013020.013330.013330.013020.000312.349762.0404880.133250.004640.130160.008090.008790.004930.004530.013020.013330.013330.013020.000312.349762.0404800.00000000.00000000.00000000.000000.000000.00000000.000000.00000000.00000000.00000000.00000000.00000000.000000.0000000.00000000.00000000.00000000.000000.000000.00000000.000000.00000000.00000000.00000000.00000000.00000000.000000.0000000.00000000.00000000.00000000.000000.000000.00000000.000000.00000000.00000000.00000000.00000000.00000000.000000.0000000.00000000.00000000.00000000.000000.000000.00000000.000000.00000000.00000000.00000000.00000000.00000000.000000.0000000.00000000.00000000.00000000.000000.000000.00000000.000000.00000000.00000000.00000000.00000000.00000000.000000.0000000.00000000.00000000.00000000.000000.000000.00000000.000000.00000000.00000000.00000000.00000000.00000000.000000.0000000.00000000.00000000.00000000.000000.000000.00000000.000000.00000000.00000000.00000000.00000000.00000000.000000.0000000.00000000.00000000.00000000.000000.000000.00000000.000000.00000000.00000000.00000000.00000000.00000000.000000.0000000.00000000.00000000.00000000.000000.000000.00000000.000000.00000000.00000000.00000000.00000000.00000000.000000.0000000.00000000.00000000.00000000.000000.000000.00000000.000000.00000000.00000000.00000000.00000000.00000000.000000.0000000.00000000.00000000.00000000.000000.000000.00000000.000000.00000000.00000000.00000000.00000000.00000000.000000.0000000.00000000.00000000.00000000.000000.000000.00000000.000000.00000000.00000000.00000000.00000000.00000000.000000.0000000.00000000.00000000.00000000.000000.000000.00000000.000000.00000000.00000000.00000000.00000000.00000000.000000.0000000.00000000.00000000.00000000.000000.000000.00000000.000000.00000000.00000000.00000000.00000000.00000000.000000.0000000.00000000.00000000.00000000.000000.000000.00000000.000000.00000000.00000000.00000000.00000000.00000000.000000.0000000.00000000.00000000.00000000.000000.000000.00000000.000000.00000000.00000000.00000000.00000000.00000000.000000.00000

Nome: Renato Encinas Lopes

MLsH1PPPPPaibiciHmDC


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