e structur as

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cicio de 2 pisos y 2 vanos, con cargas re 2 T/m 2 Tn k= 2 k= 2 k= 2 k= 2 k= 2 4m 3 T/m 3 Tn k= 2 k= 2 k= 3 k= 2 k= 3 5m 8m 10 m Rigideces 3.5 4.5 3.5 Ԑkc2 1.5 0.8 1.5 1.5 1 1.5 Ԑkc1 2 1.5 2 1 0.8 1 2 7 1.5 7.5 2 7 2 1 2 2 1 2 3 2 3 2 1 1.5 3 2 3 Momentos de Emp 10.67 6 -16.67 10.67 -11 17 -16.7 0 0 0 16 9 -25

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Ejercicio de 2 pisos y 2 vanos, con cargas repartidas en las vigas2T/m2Tnk= 2 k=1.5k=2 k= 1.5 k=2 4m3T/m3Tnk= 2 k= 2k=3 k= 2 k=3 5m8m 10 mRigideces3.5 4.5 3.5kc21.5 0.75 1.5 1.5 1 1.5 kc12 1.5 21 0.75 12 7 1.5 7.5 2 72 1 2 2 1 23 2 32 1 1.53 2 3Momentos de Empotramiento10.667 6 -16.66710.67 -1117 -16.670 0 016 9 -2500 16 -1625 -250 0 00 0 0Metodo de TakabeyaTakabeyaSIGUE -1.333 SIGUE 4.762-3.048 -1.458 3.783-2.3323 -0.2143 -0.16667 -0.1667 -0.2143G F E-0.28571 1.455 -0.1667 -0.28570.8565-0.545 -0.409 -0.545-0.14286 -0.1 -0.1429-2.286 -0.1429 -0.13333 -0.1333 -0.1429-2.3617 B-1.2 !-1.557SIGUE -0.21429 3.125 -0.1333 SIGUE -0.21432.8522-0.5625 -0.375 -0.5625SIGUE -1.458 SIGUE 3.783-2.3323 -1.5839 3.844-2.474 -0.2143 -0.16667 -0.1667 -0.2143G F E-0.28571 1.4545 -0.1667 -0.28571.8386-0.54545 -0.4091 -0.5455 "0= _ "0= _ "0= _ "0= _ "0= _ "0= _ "1= _# 1"0=# 2"0=# 1"1=# 2"1= "1= _ "1= _ "1= _ "1= _ "1= _ "1= _ "1= _ "2= _# 2"0=# 2"2= "2= _ "1= _ "2= _-0.14286 -0.1 -0.1429-2.3617 -0.1429 -0.13333 -0.1333 -0.1429-2.7541 B-1.557 !-1.703SIGUE -0.21429 3.125 -0.1333 SIGUE -0.21433.6488-0.5625 -0.375 -0.5625SIGUE -1.5839 SIGUE 3.844-2.474 -1.6451 3.8-2.554 -0.2143 -0.16667 -0.1667 -0.2143G F E-0.28571 1.4545 -0.1667 -0.28572.3544-0.54545 -0.4091 -0.5455-0.14286 -0.1 -0.1429-2.7541 -0.1429 -0.13333 -0.1333 -0.1429-2.8953 B-1.703 !-1.7281SIGUE -0.21429 3.125 -0.1333 SIGUE -0.21434.0754-0.5625 -0.375 -0.5625SIGUE -1.6451 SIGUE 3.8-2.554 -1.6747 3.78-2.597 -0.2143 -0.16667 -0.1667 -0.2143G F E-0.28571 1.4545 -0.1667 -0.28572.6094 "1= _ "1= _ "1= _# 1"0=# 2"0=# 1"2=# 2"2= "2= _ "2= _ "2= _ "2= _ "2= _ "2= _ "2= _ "2= _ "3= _# 1"0=# 2"0=# 1"3=# 2"3= "3= _ "3= _ "3= _ "2= _ "3= _ "3= _ "3= _ "3= _ "4= _# 2"0=# 2"4= "4= _ "3= _ "4= _-0.54545 -0.4091 -0.5455-0.14286 -0.1 -0.1429-2.8953 -0.1429 -0.13333 -0.1333 -0.1429-2.954 B-1.7281 !-1.7421SIGUE -0.21429 3.125 -0.1333 SIGUE -0.21434.2419-0.5625 -0.375 -0.5625SIGUE -1.6747 SIGUE 3.78-2.597 -1.6886 3.771-2.6176 -0.2143 -0.16667 -0.1667 -0.2143G F E-0.28571 1.4545 -0.1667 -0.28572.7296-0.54545 -0.4091 -0.5455-0.14286 -0.1 -0.1429-2.954 -0.1429 -0.13333 -0.1333 -0.1429-2.9801 B-1.7421 !-1.7494SIGUE -0.21429 3.125 -0.1333 SIGUE -0.21434.3171-0.5625 -0.375 -0.5625SIGUE -1.6886 SIGUE 3.771-2.6176 -1.6949 3.766-2.6271 -0.2143 -0.16667 -0.1667 -0.2143G F E-0.28571 1.4545 -0.1667 -0.2857 "3= _ "3= _ "3= _# 1"0=# 2"0=# 1"4=# 2"4= "4= _ "4= _ "4= _ "4= _ "4= _ "4= _ "4= _ "4= _ "5= _# 1"0=# 2"0=# 1"5=# 2"5= "5= _ "5= _ "5= _ "4= _ "5= _ "5= _ "5= _ "5= _ "6= _# 2"0= "6= _ "5= _ "6= _2.7851-0.54545 -0.4091 -0.5455-0.14286 -0.1 -0.1429-2.9801 -0.1429 -0.13333 -0.1333 -0.1429-2.992 B-1.7494 !-1.7528SIGUE -0.21429 3.125 -0.1333 SIGUE -0.21434.3514-0.5625 -0.375 -0.5625SIGUE -1.6949 SIGUE 3.766-2.6271 -1.6978 3.764-2.6314 -0.2143 -0.16667 -0.1667 -0.2143G F E-0.28571 1.4545 -0.1667 -0.28572.8105-0.54545 -0.4091 -0.5455-0.14286 -0.1 -0.1429-2.992 -0.1429 -0.13333 -0.1333 -0.1429-2.9974 B-1.7528 !-1.7544SIGUE -0.21429 3.125 -0.1333 SIGUE -0.21434.367-0.5625 -0.375 -0.5625SIGUE -1.6978 SIGUE 3.764-2.6314 -1.6992 3.763-2.6334 -0.2143 -0.16667 -0.1667 -0.2143G F E "5= _ "5= _ "5= _# 1"0=# 2"0=# 1"6=# 2"6= "6= _ "6= _ "6= _ "6= _ "6= _ "6= _ "6= _ "6= _ "7= _# 1"0=# 2"0=# 1"7=# 2"7= "7= _ "7= _ "7= _ "6= _ "7= _ "7= _ "7= _ "7= _ "8= _ "8= _ "7= _ "8= _-0.28571 1.4545 -0.1667 -0.28572.8222-0.54545 -0.4091 -0.5455-0.14286 -0.1 -0.1429-2.9974 -0.1429 -0.13333 -0.1333 -0.1429-3 B-1.7544 !-1.7551SIGUE -0.21429 3.125 -0.1333 SIGUE -0.21434.3741-0.5625 -0.375 -0.5625SIGUE -1.6992 SIGUE 3.763-2.6334 -1.6998 3.763-2.6343 -0.2143 -0.16667 -0.1667 -0.2143G F E-0.28571 1.4545 -0.1667 -0.28572.8275-0.54545 -0.4091 -0.5455-0.14286 -0.1 -0.1429-3 -0.1429 -0.13333 -0.1333 -0.1429-3.0009 B-1.7551 !-1.7555SIGUE -0.21429 3.125 -0.1333 SIGUE -0.21434.3773-0.5625 -0.375 -0.5625SIGUE -1.6998 SIGUE 3.763-2.6343 -1.7001 3.763-2.6347 -0.2143 -0.16667 -0.1667 -0.2143G F E "7= _ "7= _ "7= _# 1"0=# 2"0=# 1"8=# 2"8= "8= _ "8= _ "8= _ "8= _ "8= _ "8= _ "8= _ "8= _ "9= _# 1"0=# 2"0=# 1"9=# 2"9= "9= _ "9= _ "9= _ "8= _ "9= _ "9= _ "9= _ "9= _ "10= _ "10= _ "9= _ "10= _-0.28571 1.4545 -0.1667 -0.28572.8299-0.54545 -0.4091 -0.5455-0.14286 -0.1 -0.1429-3.0009 -0.1429 -0.13333 -0.1333 -0.1429-3.0015 B-1.7555 !-1.7556SIGUE -0.21429 3.125 -0.1333 SIGUE -0.21434.3788-0.5625 -0.375 -0.5625SIGUE -1.7001 SIGUE 3.763-2.6347 -1.7002 3.763-2.6349 -0.2143 -0.16667 -0.1667 -0.2143G F E-0.28571 1.4545 -0.1667 -0.28572.831-0.54545 -0.4091 -0.5455-0.14286 -0.1 -0.1429-3.0015 -0.1429 -0.13333 -0.1333 -0.1429-3.0017 B-1.7556 !-1.7557SIGUE -0.21429 3.125 -0.1333 SIGUE -0.21434.3795-0.5625 -0.375 -0.5625SIGUE -1.7002 SIGUE 3.763-2.6349 -1.7002 3.763 "9= _ "9= _ "9= _# 1"0=# 2"0=#1 "10=#2 "10= "10= _ "10= _ "10= _ "10= _ "10= _ "10= _ "10= _ "10= _ "11= _# 1"0=# 2"0=#1 "11=#2 "11= "11= _ "11= _ "11= _ "10= _ "11= _ "11= _ "11= _ "11= _ "12= _ "11= _ "12= _-2.635 -0.2143 -0.16667 -0.1667 -0.2143G F E-0.28571 1.4545 -0.1667 -0.28572.8315-0.54545 -0.4091 -0.5455-0.14286 -0.1 -0.1429-3.0017 -0.1429 -0.13333 -0.1333 -0.1429-3.0018 B-1.7557 !-1.7557SIGUE -0.21429 3.125 -0.1333 SIGUE -0.21434.3798-0.5625 -0.375 -0.5625FI$ -1.7 FI$ 3.763-2.635 -1.7 3.763-2.635 -0.2143 -0.16667 -0.1667 -0.2143G F E-0.28571 1.4545 -0.1667 -0.28572.832-0.54545 -0.4091 -0.5455-0.14286 -0.1 -0.1429-3.002 -0.1429 -0.13333 -0.1333 -0.1429-3.002 B-1.756 !-1.756FI$ -0.21429 3.125 -0.1333 FI$ -0.21434.38-0.5625 -0.375 -0.5625Calculo de Maney "11= _ "11= _ "11= _# 1"0=# 2"0=#1 "12=#2 "12= "12= _ "12= _ "12= _ "12= _ "12= _ "12= _ "12= _ "12= _ "12= _ "13= _# 1"0=# 2"0=#1 "13=#2 "13= "13= _ "13= _ "13= _ "12= _ "13= _ "13= _10.6667 -10.667 16.6667-3.9525 -2.55 -2.55-1.275 -1.9763 2.8225.4! "#5.#! #$.!!0 0-5.27 -2.55-3.002 -1.3172.832 2.124"5.44 "#.%40 0-6.004 16 -16 -2.634 25-2.635 -6.004 -3.512 -1.275 -3.5122.832 -1.756 -3.002 2.124 1.941"5.&'% &.24 "22.5#4 "#.%&5 2.42!0 0-9.006 -3.5120 06.57 4.38"2.4$ '.&$&0 00 0-4.503 -1.7566.57 4.382.'$% 2.$24Cambio de (ignos"5.4! "#5.#! "#$.!!-5.44 1.743-1.7855.&'% "&.24 "22.5#4 "2.42!-2.436 -0.868-2.067 2.624Ejercicio de 2 pisos y 2 vanos, con cargas repartidas en las vigasS1= 5S2= 25.58 3.125 1.4545Momentos de Empotramiento# 1"0=# 2"0=Metodo de Takabeya#ra )teraci*nSIGUEE!B G F&'IE$(& )*n*c*a+ 4.762 3.571 -1.2 -2.286 -3.048 -1.333'a,= 4.762 -.). 0 -0.540.13330.4354 0 0-I)I -1.0203 0 0 00.67480.2595-/)/ 0 0 -0.32910.22240.2856 -0.6304-*)* 0.2856 0.17140.3048 0 00.3887-.0. 0 -0.122 -0.0857 -0.1224 0 0-I0I -0.2447 -0.611 -0.3803 -0.6112 -0.2447 -0.14283.7826 2.4685 -1.557 -2.3617 -2.3323 -1.4583.5712.4685SIGUE2da )teraci*nSIGUEE!B G F)*n*c*a+ 4.762 3.571 -1.2 -2.286 -3.048 -1.333-.). 0 -0.5490.14580.3332 0 0-I)I -0.7053 0 0 00.78690.2838-/)/ 0 0 -0.29330.24330.3124 -0.6406-*)* 0.3124 0.22240.3149 0 00.4123-.0. 0 -0.263 -0.1839 -0.2627 0 0 "0= _ "1= _-I0I -0.5253 -0.782 -0.4865 -0.7819 -0.5253 -0.30643.8438 2.1998 -1.703 -2.7541 -2.474 -1.58392.46852.1998SIGUEra )teraci*nSIGUEE!B G F)*n*c*a+ 4.762 3.571 -1.2 -2.286 -3.048 -1.333-.). 0 -0.5430.15840.3534 0 0-I)I -0.6285 0 0 00.8272 0.288-/)/ 0 0 -0.27490.24690.3394 -0.6334-*)* 0.3394 0.24330.3672 0 00.4257-.0. 0 -0.336 -0.2354 -0.3363 0 0-I0I -0.6727 -0.873 -0.5434 -0.8733 -0.6727 -0.39243.8002 2.0618 -1.7281 -2.8953 -2.554 -1.64512.19982.0618SIGUE4ta )teraci*nSIGUEE!B G F)*n*c*a+ 4.762 3.571 -1.2 -2.286 -3.048 -1.333-.). 0 -0.540.16450.3649 0 0-I)I -0.5891 0 0 0 0.8440.2904-/)/ 0 0 -0.26620.24890.3525 -0.63-*)* 0.3525 0.2469 0.386 0 00.4328 "1= _ "2= _ "2= _ "3= _-.0. 0 -0.373 -0.2609 -0.3728 0 0-I0I -0.7455 -0.909 -0.5656 -0.909 -0.7455 -0.43493.7799 1.9961 -1.7421 -2.954 -2.597 -1.67472.06181.9961SIGUE5ta )teraci*nSIGUEE!B G F)*n*c*a+ 4.762 3.571 -1.2 -2.286 -3.048 -1.333-.). 0 -0.5390.1675 0.371 0 0-I)I -0.5703 0 0 00.85150.2916-/)/ 0 0 -0.26220.24990.3589 -0.6284-*)* 0.3589 0.24890.3939 0 00.4363-.0. 0 -0.39 -0.273 -0.3899 0 0-I0I -0.7799 -0.925 -0.5756 -0.9251 -0.7799 -0.45493.7706 1.9662 -1.7494 -2.9801 -2.6176 -1.68861.99611.9662SIGUE$ta )teraci*nSIGUEE!B G F)*n*c*a+ 4.762 3.571 -1.2 -2.286 -3.048 -1.333-.). 0 -0.5380.16890.3739 0 0-I)I -0.5618 0 0 00.85480.2921-/)/ 0 0 -0.26030.25040.3618 -0.6277 "3= _ "4= _ "4= _ "5= _-*)* 0.3618 0.24990.3974 0 00.4378-.0. 0 -0.398 -0.2785 -0.3979 0 0-I0I -0.7957 -0.932 -0.5802 -0.9324 -0.7957 -0.46423.7663 1.9526 -1.7528 -2.992 -2.6271 -1.69491.96621.9526SIGUE%ma )teraci*nSIGUEE!B G F)*n*c*a+ 4.762 3.571 -1.2 -2.286 -3.048 -1.333-.). 0 -0.5380.16950.3753 0 0-I)I -0.5579 0 0 00.85640.2924-/)/ 0 0 -0.25950.25060.3632 -0.6274-*)* 0.3632 0.25040.3989 0 00.4386-.0. 0 -0.402 -0.2811 -0.4015 0 0-I0I -0.803 -0.936 -0.5823 -0.9358 -0.803 -0.46843.7643 1.9464 -1.7544 -2.9974 -2.6314 -1.69781.95261.9464SIGUE&va )teraci*nSIGUEE!B G F)*n*c*a+ 4.762 3.571 -1.2 -2.286 -3.048 -1.333-.). 0 -0.5380.16980.3759 0 0-I)I -0.5561 0 0 00.85710.2925 "5= _ "6= _ "6= _ "7= _-/)/ 0 0 -0.25910.25070.3638 -0.6272-*)* 0.3638 0.25060.3996 0 00.4389-.0. 0 -0.403 -0.2822 -0.4032 0 0-I0I -0.8063 -0.937 -0.5832 -0.9373 -0.8063 -0.47043.7634 1.9435 -1.7551 -3 -2.6334 -1.69921.94641.9435SIGUE!na )teraci*nSIGUEE!B G F)*n*c*a+ 4.762 3.571 -1.2 -2.286 -3.048 -1.333-.). 0 -0.5380.16990.3762 0 0-I)I -0.5553 0 0 00.85740.2926-/)/ 0 0 -0.2590.25080.3641 -0.6272-*)* 0.3641 0.2507 0.4 0 00.4391-.0. 0 -0.404 -0.2827 -0.4039 0 0-I0I -0.8079 -0.938 -0.5836 -0.938 -0.8079 -0.47123.763 1.9422 -1.7555 -3.0009 -2.6343 -1.69981.94351.9422SIGUE#'ma )teraci*nSIGUEE!B G F)*n*c*a+ 4.762 3.571 -1.2 -2.286 -3.048 -1.333-.). 0 -0.538 0.170.3763 0 0 "7= _ "8= _ "8= _ "9= _-I)I -0.5549 0 0 00.85760.2926-/)/ 0 0 -0.25890.25080.3642 -0.6271-*)* 0.3642 0.25080.4001 0 00.4391-.0. 0 -0.404 -0.283 -0.4043 0 0-I0I -0.8085 -0.938 -0.5838 -0.9383 -0.8085 -0.47173.7628 1.9417 -1.7556 -3.0015 -2.6347 -1.70011.94221.9417SIGUE##va )teraci*nSIGUEE!B G F)*n*c*a+ 4.762 3.571 -1.2 -2.286 -3.048 -1.333-.). 0 -0.538 0.170.3764 0 0-I)I -0.5548 0 0 00.85760.2926-/)/ 0 0 -0.25890.25080.3643 -0.6271-*)* 0.3643 0.25080.4002 0 00.4392-.0. 0 -0.404 -0.2831 -0.4044 0 0-I0I -0.8089 -0.938 -0.5839 -0.9385 -0.8089 -0.47183.7627 1.9414 -1.7557 -3.0017 -2.6349 -1.70021.94171.9414SIGUE#2va )teraci*nSIGUEE!B G F "9= _ "10= _ "10= _ "11= _)*n*c*a+ 4.762 3.571 -1.2 -2.286 -3.048 -1.333-.). 0 -0.538 0.170.3764 0 0-I)I -0.5547 0 0 00.85770.2926-/)/ 0 0 -0.25880.25080.3643 -0.6271-*)* 0.3643 0.25080.4002 0 00.4392-.0. 0 -0.405 -0.2832 -0.4045 0 0-I0I -0.809 -0.939 -0.584 -0.9385 -0.809 -0.47193.7626 1.9413 -1.7557 -3.0018 -2.635 -1.70021.94141.9413SIGUE#va )teraci*nFI$E!B G F)*n*c*a+ 4.762 3.571 -1.2 -2.286 -3.048 -1.333-.). 0 -0.538 0.170.3764 0 0-I)I -0.5546 0 0 00.85770.2927-/)/ 0 0 -0.25880.25090.3643 -0.6272-*)* 0.3643 0.25090.4003 0 00.4392-.0. 0 -0.405 -0.2832 -0.4046 0 0-I0I -0.8091 -0.939 -0.584 -0.9386 -0.8091 -0.4723.7626 1.9411 -1.7557 -3.0019 -2.6351 -1.70031.9411.941FI$ "11= _ "12= _ "12= _ "13= _-16.675.6445-1.275"#2.07.5261.9412.832#2.2!!0-25 3.8823.882 3.763-1.756 2.832"22.&% #'.4%%05.82306.57#2.!002.91156.57!.4Cambio de (ignos"#2.-12.299"22.&% #'.4%%-12.3939.4815