Nodes X Y Fixed nodes X Y1 1.5 0 1 1 12 1.5 3 2 0 03 0 3 3 0 04 3.5 3 4 0 0

Beam1 Beam2E 2.10E+05 Mpa EA 0.0236 m2 AI 0.0108 m4 IL 3 m Langle 90 º angle

1.5707963268 radNodes 1 2 Nodes

K11 local K11 local1652 0 0 3024

0 1007.9999997 1512 00 1511.9999996 3023.999999 0

K12 local K12 local-1652 0 0 -3024

0 -1008 1512 00 -1512 1512 0

K21 local K21 local-1652 0 0 -3024

0 -1008 -1512 00 1511.9999996 1512 0

K22 local K22 local1652 0 0 3024

0 1007.9999997 -1512 00 -1512 3023.999999 0

L L0 1 0 -1

-1 0 0 00 0 1 0

Lt Lt

0 -1 0 -11 0 0 00 0 1 0

K11 global K11 global1008 0 -1512 3024

0 1652 0 0-1512 0 3023.999999 0

K12 global K12 global-1008 0 -1512 -3024

0 -1652 0 01512 0 1512 0

K21 global K21 global-1008 0 1512 -3024

0 -1652 0 0-1512 0 1512 0

K22 global K22 global1008 0 1512 3024

0 1652 0 01512 0 3023.999999 0

Ke11008 0 -1512 -1008 0 -1512 0

0 1652 0 0 -1652 0 0-1512 0 3023.999999 1512 0 1512 0-1008 0 1512 1008 0 1512 0

0 -1652 0 0 1652 0 0-1512 0 1512 1512 0 3023.999999 0

0 0 0 0 0 0 00 0 0 0 0 0 00 0 0 0 0 0 00 0 0 0 0 0 00 0 0 0 0 0 00 0 0 0 0 0 0

Ke20 0 0 0 0 0 00 0 0 0 0 0 00 0 0 0 0 0 00 0 0 3024 0 0 -30240 0 0 0 8536.8888878 -6402.66667 00 0 0 0 -6402.6666659 6402.666666 00 0 0 -3024 0 0 30240 0 0 0 -8536.8888878 6402.666666 0

0 0 0 0 -6402.6666659 3201.333333 00 0 0 0 0 0 00 0 0 0 0 0 00 0 0 0 0 0 0

Ke30 0 0 0 0 0 00 0 0 0 0 0 00 0 0 0 0 0 00 0 0 2268 0 0 00 0 0 0 3601.4999995 3601.5 00 0 0 0 3601.4999995 4801.999999 00 0 0 0 0 0 00 0 0 0 0 0 00 0 0 0 0 0 00 0 0 -2268 0 0 00 0 0 0 -3601.4999995 -3601.5 00 0 0 0 3601.4999995 2401 0

K global*D=F1008 0 -1512 -1008 0 -1512 0

0 1652 0 0 -1652 0 0-1512 0 3023.999999 1512 0 1512 0-1008 0 1512 6300 0 1512 -3024

0 -1652 0 0 13790.388887 -2801.16667 0-1512 0 1512 1512 -2801.1666663 14228.66666 0

0 0 0 -3024 0 0 30240 0 0 0 -8536.8888878 6402.666666 00 0 0 0 -6402.6666659 3201.333333 00 0 0 -2268 0 0 00 0 0 0 -3601.4999995 -3601.5 00 0 0 0 3601.4999995 2401 0

Transformation1.00E+99 0 0 0 0 0 0

0 1.00E+99 0 0 0 0 00 0 1.00E+99 0 0 0 0

-1008 0 1512 6300 0 1512 -30240 -1652 0 0 13790.388887 -2801.16667 0

-1512 0 1512 1512 -2801.1666663 14228.66666 00 0 0 -3024 0 0 30240 0 0 0 -8536.8888878 6402.666666 00 0 0 0 -6402.6666659 3201.333333 00 0 0 -2268 0 0 00 0 0 0 -3601.4999995 -3601.5 00 0 0 0 3601.4999995 2401 0

K(-1)*F=D

1.00E-99 0 0 0 0 0 00 1E-99 0 0 0 0 00 0 1.00E-99 0 0 0 0

1E-99 0 -3E-99 0.003968254 0 -0.00198413 0.0039682540 1E-99 0 0 0.0006053269 0 00 0 1E-99 -0.00198413 0 0.001322751 -0.00198413

1E-99 0 -3E-99 0.003968254 0 -0.00198413 0.0042989420 1E-99 -1.5E-99 0.00297619 0.0006053269 -0.00198413 0.002976190 0 1E-99 -0.00198413 0 0.001322751 -0.00198413

1E-99 0 -3E-99 0.003968254 0 -0.00198413 0.0039682540 1E-99 2E-99 -0.00396825 0.0006053269 0.002645503 -0.003968250 0 1E-99 -0.00198413 0 0.001322751 -0.00198413

K*D=F1.01E+03 0 -1512 -1008 0 -1512 0

0 1652 0 0 -1652 0 0-1512 0 3.02E+03 1512 0 1512 0-1008 0 1512 6300 0 1512 -3024

0 -1652 0 0 13790.388887 -2801.16667 0-1512 0 1512 1512 -2801.1666663 14228.66666 0

0 0 0 -3024 0 0 30240 0 0 0 -8536.8888878 6402.666666 00 0 0 0 -6402.6666659 3201.333333 00 0 0 -2268 0 0 00 0 0 0 -3601.4999995 -3601.5 00 0 0 0 3601.4999995 2401 0

Local DisplacementsBeam 1 Beam 2Node 1 2 Node 2 3ux 0 1.736111112 ux 1.736111112 1.736111112uy 0 -0.30266344 uy -0.30266344 1.385218348o 0 -1.14087302 o -1.14087302 -1.11744528ux loc 0 -0.30266344 ux loc -1.73611111 -1.73611111uy loc 0 -1.73611111 uy loc 0.302663438 -1.38521835o loc 0 -1.14087302 o loc -1.14087302 -1.11744528

Rotation1000

Beam32.10E+05 Mpa E 2.10E+05

0.0216 m2 A 0.02160.011433333 m4 I 0.011433333

1.5 m L 2180 º angle 0

3.141592654 rad 02 3 Nodes 2

K11 local0 0 2268 0

8536.888888 6402.666666 0 3601.56402.666666 6402.666666 0 3601.5

K12 local0 0 -2268 0

-8536.88889 6402.666666 0 -3601.5-6402.66667 3201.333333 0 -3601.5

K21 local0 0 -2268 0

-8536.88889 -6402.66667 0 -3601.56402.666666 3201.333333 0 3601.5

K22 local0 0 2268 0

8536.888888 -6402.66667 0 3601.5-6402.66667 6402.666666 0 -3601.5

L0 0 1 0

-1 0 0 10 1 0 0

Lt

0 0 1 0-1 0 0 10 1 0 0

K11 global0 0 2268 0

8536.888888 -6402.66667 0 3601.5-6402.66667 6402.666666 0 3601.5

K12 global0 0 -2268 0

-8536.88889 -6402.66667 0 -3601.56402.666666 3201.333333 0 -3601.5

K21 global0 0 -2268 0

-8536.88889 6402.666666 0 -3601.5-6402.66667 3201.333333 0 3601.5

K22 global0 0 2268 0

8536.888888 6402.666666 0 3601.56402.666666 6402.666666 0 -3601.5

0 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 0

0 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 0

-8536.88889 -6402.66667 0 0 06402.666666 3201.333333 0 0 0

0 0 0 0 08536.888888 6402.666666 0 0 0

6402.666666 6402.666666 0 0 00 0 0 0 00 0 0 0 00 0 0 0 0

0 0 0 0 00 0 0 0 00 0 0 0 00 0 -2268 0 00 0 0 -3601.5 3601.50 0 0 -3601.5 24010 0 0 0 00 0 0 0 00 0 0 0 00 0 2268 0 00 0 0 3601.5 -3601.50 0 0 -3601.5 4801.999999

0 0 0 0 0 00 0 0 0 0 00 0 0 0 0 00 0 -2268 0 0 ux2

-8536.88889 -6402.66667 0 -3601.5 3601.5 uy26402.666666 3201.333333 0 -3601.5 2401 * o2

0 0 0 0 0 ux38536.888888 6402.666666 0 0 0 uy36402.666666 6402.666666 0 0 0 3

0 0 2268 0 0 ux40 0 0 3601.5 -3601.5 uy40 0 0 -3601.5 4801.999999 o4

0 0 0 0 0 00 0 0 0 0 00 0 0 0 0 00 0 -2268 0 0 ux2

-8536.88889 -6402.66667 0 -3601.5 3601.5 uy26402.666666 3201.333333 0 -3601.5 2401 * o2

0 0 0 0 0 ux38536.888888 6402.666666 0 0 0 uy36402.666666 6402.666666 0 0 0 3

0 0 2268 0 0 ux40 0 0 3601.5 -3601.5 uy40 0 0 -3601.5 4801.999999 o4

0 0 0 0 0 00 0 0 0 0 00 0 0 0 0 0

0.00297619 -0.00198413 0.003968254 -0.00396825 -0.00198413 00.000605327 0 0 0.000605327 0 0-0.00198413 0.001322751 -0.00198413 0.002645503 0.001322751 * 00.00297619 -0.00198413 0.003968254 -0.00396825 -0.00198413 0

0.004050072 -0.00245268 0.00297619 -0.00336293 -0.00198413 -50-0.00245268 0.001947491 -0.00198413 0.002645503 0.001322751 00.00297619 -0.00198413 0.004409171 -0.00396825 -0.00198413 25

-0.00336293 0.002645503 -0.00396825 0.007006981 0.003478489 -450-0.00198413 0.001322751 -0.00198413 0.003478489 0.002155738 0

0 0 0 0 0 00 0 0 0 0 00 0 0 0 0 00 0 -2268 0 0 1.736111112

-8536.88889 -6402.66667 0 -3601.5 3601.5 -0.302663446402.666666 3201.333333 0 -3601.5 2401 * -1.14087302

0 0 0 0 0 1.7361111128536.888888 6402.666666 0 0 0 1.3852183486402.666666 6402.666666 0 0 0 -1.11744528

0 0 2268 0 0 1.7471340390 0 0 3601.5 -3601.5 -3.084201220 0 0 -3601.5 4801.999999 -1.51571683

Beam 1 Stress pilarNode 2 4 21.43644068ux 1.736111112 1.747134039uy -0.30266344 -3.08420122o -1.14087302 -1.51571683ux loc 1.736111112 1.747134039uy loc -0.30266344 -3.08420122o loc -1.14087302 -1.51571683

Mpam2m4mºrad

4

03601.5

4802

03601.5

2401

0-3601.5

2401

0-3601.5

4802

001

001

03601.5

4802

03601.5

2401

0-3601.5

2401

0-3601.5

4802

Rx1Ry1M1

00

= 00

-500

25-450

0

Rx1Ry1M1

00

= 00

-500

25-450

0

00 mm0 mm

1.736111112 mm-0.30266344 mm

= -1.14087302 mm1.736111112 mm1.385218348 mm-1.11744528 mm1.747134039 mm-3.08420122 mm-1.51571683 mm

-25500900

00

= 00

-500

25-450

0

Mpa

Nodes X Y Fixed nodes X Y1 1.5 0 1 1 12 1.5 3 2 0 03 0 3 3 0 04 3.5 3 4 0 0

0.01080.003172391

Beam1 1080000 Beam2E 2.10E+05 Mpa EA 0.0236 m2 AI 0.0013695867 m4 IL 3 m Langle 90 º angle

1.5707963268 radNodes 1 2 Nodes

K11 local K11 local1652 0 0 3.02E+03

0 127.82808889 191.7421333 00 191.74213333 383.4842667 0

K12 local K12 local-1652 0 0 -3024

0 -127.82808889 191.7421333 00 -191.74213333 191.7421333 0

K21 local K21 local-1652 0 0 -3024

0 -127.82808889 -191.742133 00 191.74213333 191.7421333 0

K22 local K22 local1652 0 0 3024

0 127.82808889 -191.742133 00 -191.74213333 383.4842667 0

L L0 1 0 -1

-1 0 0 00 0 1 0

Lt Lt

0 -1 0 -11 0 0 00 0 1 0

K11 global K11 global127.82808889 0 -191.742133 3024

0 1652 0 0-191.7421333 0 383.4842667 0

K12 global K12 global-127.8280889 0 -191.742133 -3024

0 -1652 0 0191.74213333 0 191.7421333 0

K21 global K21 global-127.8280889 0 191.7421333 -3024

0 -1652 0 0-191.7421333 0 191.7421333 0

K22 global K22 global127.82808889 0 191.7421333 3024

0 1652 0 0191.74213333 0 383.4842667 0

Ke1127.82808889 0 -191.742133 -127.828089 0 -191.742133 0

0 1652 0 0 -1652 0 0-191.7421333 0 383.4842667 191.7421333 0 191.7421333 0-127.8280889 0 191.7421333 127.8280889 0 191.7421333 0

0 -1652 0 0 1652 0 0-191.7421333 0 191.7421333 191.7421333 0 383.4842667 0

0 0 0 0 0 0 00 0 0 0 0 0 00 0 0 0 0 0 00 0 0 0 0 0 00 0 0 0 0 0 00 0 0 0 0 0 0

Ke20 0 0 0 0 0 00 0 0 0 0 0 00 0 0 0 0 0 00 0 0 3024 0 0 -30240 0 0 0 1102.3189333 -826.7392 00 0 0 0 -826.7392 826.7392 00 0 0 -3024 0 0 30240 0 0 0 -1102.3189333 826.7392 0

0 0 0 0 -826.7392 413.3696 00 0 0 0 0 0 00 0 0 0 0 0 00 0 0 0 0 0 0

Ke30 0 0 0 0 0 00 0 0 0 0 0 00 0 0 0 0 0 00 0 0 2268 0 0 00 0 0 0 465.0408 465.0408 00 0 0 0 465.0408 620.0544 00 0 0 0 0 0 00 0 0 0 0 0 00 0 0 0 0 0 00 0 0 -2268 0 0 00 0 0 0 -465.0408 -465.0408 00 0 0 0 465.0408 310.0272 0

K global*D=F127.82808889 0 -191.742133 -127.828089 0 -191.742133 0

0 1652 0 0 -1652 0 0-191.7421333 0 383.4842667 191.7421333 0 191.7421333 0-127.8280889 0 191.7421333 5419.828089 0 191.7421333 -3024

0 -1652 0 0 3219.3597333 -361.6984 0-191.7421333 0 191.7421333 191.7421333 -361.6984 1830.277867 0

0 0 0 -3024 0 0 30240 0 0 0 -1102.3189333 826.7392 00 0 0 0 -826.7392 413.3696 00 0 0 -2268 0 0 00 0 0 0 -465.0408 -465.0408 00 0 0 0 465.0408 310.0272 0

Transformation1.00E+99 0 0 0 0 0 0

0 1.00E+99 0 0 0 0 00 0 1.00E+99 0 0 0 0

-127.8280889 0 191.7421333 5419.828089 0 191.7421333 -30240 -1652 0 0 3219.3597333 -361.6984 0

-191.7421333 0 191.7421333 191.7421333 -361.6984 1830.277867 00 0 0 -3024 0 0 30240 0 0 0 -1102.3189333 826.7392 00 0 0 0 -826.7392 413.3696 00 0 0 -2268 0 0 00 0 0 0 -465.0408 -465.0408 00 0 0 0 465.0408 310.0272 0

K(-1)*F=D

1.00E-99 0 0 0 0 0 00 1E-99 0 0 0 0 00 0 1.00E-99 0 0 0 0

1E-99 0 -3E-99 0.031292027 0 -0.01564601 0.0312920272.53848E-116 1E-99 0 0 0.0006053269 0 02.25942E-115 0 1E-99 -0.01564601 0 0.010430676 -0.01564601

1E-99 0 -3E-99 0.031292027 0 -0.01564601 0.0316227150 1E-99 -1.5E-99 0.02346902 0.0006053269 -0.01564601 0.023469020 0 1E-99 -0.01564601 0 0.010430676 -0.01564601

1E-99 0 -3E-99 0.031292027 0 -0.01564601 0.0312920270 1E-99 2E-99 -0.03129203 0.0006053269 0.020861351 -0.031292030 0 1E-99 -0.01564601 0 0.010430676 -0.01564601

K*D=F1.28E+02 0 -191.742133 -127.828089 0 -191.742133 0

0 1652 0 0 -1652 0 0-191.7421333 0 3.83E+02 191.7421333 0 191.7421333 0-127.8280889 0 191.7421333 5419.828089 0 191.7421333 -3024

0 -1652 0 0 3219.3597333 -361.6984 0-191.7421333 0 191.7421333 191.7421333 -361.6984 1830.277867 0

0 0 0 -3024 0 0 30240 0 0 0 -1102.3189333 826.7392 00 0 0 0 -826.7392 413.3696 00 0 0 -2268 0 0 00 0 0 0 -465.0408 -465.0408 00 0 0 0 465.0408 310.0272 0

Local DisplacementsBeam 1 Beam 2Node 1 2 Node 2 3ux 0 1.736111112 ux 1.736111112 1.736111112uy 0 -0.30266344 uy -0.30266344 1.385218348o 0 -1.14087302 o -1.14087302 -1.11744528ux loc 0 -0.30266344 ux loc -1.73611111 -1.73611111uy loc 0 -1.73611111 uy loc 0.302663438 -1.38521835o loc 0 -1.14087302 o loc -1.14087302 -1.11744528

Rotation1000

Beam32.10E+05 Mpa E 2.10E+05

0.0216 m2 A 0.02160.00147632 m4 I 0.00147632

1.5 m L 2180 º angle 0

3.141592654 rad 02 3 Nodes 2

K11 local0 0 2268 0

1102.318933 826.7392 0 465.0408826.7392 826.7392 0 465.0408

K12 local0 0 -2268 0

-1102.31893 826.7392 0 -465.0408-826.7392 413.3696 0 -465.0408

K21 local0 0 -2268 0

-1102.31893 -826.7392 0 -465.0408826.7392 413.3696 0 465.0408

K22 local0 0 2268 0

1102.318933 -826.7392 0 465.0408-826.7392 826.7392 0 -465.0408

L0 0 1 0

-1 0 0 10 1 0 0

Lt

0 0 1 0-1 0 0 10 1 0 0

K11 global0 0 2268 0

1102.318933 -826.7392 0 465.0408-826.7392 826.7392 0 465.0408

K12 global0 0 -2268 0

-1102.31893 -826.7392 0 -465.0408826.7392 413.3696 0 -465.0408

K21 global0 0 -2268 0

-1102.31893 826.7392 0 -465.0408-826.7392 413.3696 0 465.0408

K22 global0 0 2268 0

1102.318933 826.7392 0 465.0408826.7392 826.7392 0 -465.0408

0 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 0

0 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 0

-1102.31893 -826.7392 0 0 0826.7392 413.3696 0 0 0

0 0 0 0 01102.318933 826.7392 0 0 0

826.7392 826.7392 0 0 00 0 0 0 00 0 0 0 00 0 0 0 0

0 0 0 0 00 0 0 0 00 0 0 0 00 0 -2268 0 00 0 0 -465.0408 465.04080 0 0 -465.0408 310.02720 0 0 0 00 0 0 0 00 0 0 0 00 0 2268 0 00 0 0 465.0408 -465.04080 0 0 -465.0408 620.0544

0 0 0 0 0 00 0 0 0 0 00 0 0 0 0 00 0 -2268 0 0 ux2

-1102.31893 -826.7392 0 -465.0408 465.0408 uy2826.7392 413.3696 0 -465.0408 310.0272 * o2

0 0 0 0 0 ux31102.318933 826.7392 0 0 0 uy3

826.7392 826.7392 0 0 0 30 0 2268 0 0 ux40 0 0 465.0408 -465.0408 uy40 0 0 -465.0408 620.0544 o4

0 0 0 0 0 00 0 0 0 0 00 0 0 0 0 00 0 -2268 0 0 ux2

-1102.31893 -826.7392 0 -465.0408 465.0408 uy2826.7392 413.3696 0 -465.0408 310.0272 * o2

0 0 0 0 0 ux31102.318933 826.7392 0 0 0 uy3

826.7392 826.7392 0 0 0 30 0 2268 0 0 ux40 0 0 465.0408 -465.0408 uy40 0 0 -465.0408 620.0544 o4

0 0 0 0 0 00 0 0 0 0 00 0 0 0 0 0

0.02346902 -0.01564601 0.031292027 -0.03129203 -0.01564601 00.000605327 0 0 0.000605327 0 0-0.01564601 0.010430676 -0.01564601 0.020861351 0.010430676 * 00.02346902 -0.01564601 0.031292027 -0.03129203 -0.01564601 0

0.027703061 -0.01927473 0.02346902 -0.0306867 -0.01564601 -50-0.01927473 0.015268961 -0.01564601 0.020861351 0.010430676 00.02346902 -0.01564601 0.031732944 -0.03129203 -0.01564601 25-0.0306867 0.020861351 -0.03129203 0.050929425 0.027312398 -450

-0.01564601 0.010430676 -0.01564601 0.027312398 0.016881723 0

0 0 0 0 0 00 0 0 0 0 00 0 0 0 0 00 0 -2268 0 0 13.69026178

-1102.31893 -826.7392 0 -465.0408 465.0408 -0.30266344826.7392 413.3696 0 -465.0408 310.0272 * -8.99645774

0 0 0 0 0 13.690261781102.318933 826.7392 0 0 0 13.01058748

826.7392 826.7392 0 0 0 -8.815022050 0 2268 0 0 13.701284710 0 0 465.0408 -465.0408 -22.1662070 0 0 -465.0408 620.0544 -11.8994288

Beam 1 Stress pilarNode 2 4 23.15783837ux 1.736111112 1.747134039uy -0.30266344 -3.08420122o -1.14087302 -1.51571683ux loc 1.736111112 1.747134039uy loc -0.30266344 -3.08420122o loc -1.14087302 -1.51571683

Mpam2m4mºrad

4

0465.0408620.0544

0465.0408310.0272

0-465.0408310.0272

0-465.0408620.0544

001

001

0465.0408620.0544

0465.0408310.0272

0-465.0408310.0272

0-465.0408620.0544

Rx1Ry1M1

00

= 00

-500

25-450

0

Rx1Ry1M1

00

= 00

-500

25-450

0

00 mm0 mm

13.69026178 mm-0.30266344 mm

= -8.99645774 mm13.69026178 mm13.01058748 mm-8.81502205 mm13.70128471 mm

-22.166207 mm-11.8994288 mm

-25500900

00

= 00

-500

25-450

0

Mpa

PROCEDIMIENTO CORRECTO Y EJERCICIO BIEN RESUELTOTIENE ERROR EN CÁLCULO INERCIAS (PARÉNTESIS MAL COLOCADOS)LA HOJA NO ESTÁ REFERENCIADA DE MODO QUE, AL CAMBIAR LA INERCIA, NO SE CAMBIA EL CONJUNTO DE CELDAS AFECTADAS

NOTA: 9.0

TIENE ERROR EN CÁLCULO INERCIAS (PARÉNTESIS MAL COLOCADOS)LA HOJA NO ESTÁ REFERENCIADA DE MODO QUE, AL CAMBIAR LA INERCIA, NO SE CAMBIA EL CONJUNTO DE CELDAS AFECTADAS