ComprobaciÃ³n de las barras metÃ¡licas

Un factor menor que 1.0 indica seguridad en la barra

Num	L(m)	Perfil	Acero	N(N)	My(N*m)	Mz(N*m)	Qy(N)	Qz(N)	T(N*m)	Von Mises(Pa)	FS
1	0.5	RECTANGULAR-80-40-3	A52	-5.921e+004	0	1231	3306	0	-0	2.334e+008	0.662
2	0.5	RECTANGULAR-80-40-3	A52	-5.921e+004	0	1231	-3306	0	-0	2.334e+008	0.662
3	0.5	RECTANGULAR-80-40-3	A52	-4.978e+004	0	-387.8	-1374	0	-0	1.212e+008	0.344
4	0.5	RECTANGULAR-80-40-3	A52	-2.957e+004	0	-272.2	-914.3	0	-0	7.687e+007	0.218
5	0.5	RECTANGULAR-80-40-3	A52	-1.973e+004	0	-2.814e-012	-1.021e-011	0	-0	3.021e+007	0.0856
6	0.5	RECTANGULAR-80-40-3	A52	-2.957e+004	0	272.2	914.3	0	-0	7.687e+007	0.218
7	0.5	RECTANGULAR-80-40-3	A52	-4.978e+004	0	387.8	1374	0	-0	1.212e+008	0.344
8	1	IPN-100	A52	-1.023e+005	0	1541	1.001e+004	0	0	4.124e+008	1.17
9	1	IPN-100	A52	-1.621e+005	0	1784	1.037e+004	0	0	5.186e+008	1.47
10	1	IPN-100	A52	-1.824e+005	0	1649	1.014e+004	0	0	5.101e+008	1.45
11	1	IPN-100	A52	-1.824e+005	0	1649	-1.014e+004	0	0	5.101e+008	1.45
12	1	IPN-100	A52	-1.023e+005	0	1541	-1.001e+004	0	0	4.124e+008	1.17
13	1	IPN-100	A52	-1.621e+005	0	1784	-1.037e+004	0	0	5.186e+008	1.47
14	1.118	RECTANGULAR-80-40-3	A52	1.106e+005	0	310.7	-292.6	0	-0	2.054e+008	0.582
15	1.118	RECTANGULAR-80-40-3	A52	6.54e+004	0	174.3	193.6	0	-0	1.204e+008	0.341
16	1.118	RECTANGULAR-80-40-3	A52	1.106e+005	0	-310.7	292.6	0	-0	2.054e+008	0.582
17	1.118	RECTANGULAR-80-40-3	A52	6.54e+004	0	-174.3	-193.6	0	-0	1.204e+008	0.341
18	1.118	RECTANGULAR-80-40-3	A52	2.173e+004	0	-164	-101	0	-0	5.231e+007	0.148
19	1.118	RECTANGULAR-80-40-3	A52	2.173e+004	0	-164	101	0	-0	5.231e+007	0.148
20	1	IPN-100	A52	3306	0	-422.2	791.1	0	-0	8.964e+007	0.254
21	1	IPN-100	A52	1.037e+005	0	171.5	206.7	0	-0	1.33e+008	0.377
22	1	IPN-100	A52	1.63e+005	0	127.9	54.29	0	-0	1.8e+008	0.51
23	1	IPN-100	A52	1.63e+005	0	127.9	-54.29	0	-0	1.8e+008	0.51
24	1	IPN-100	A52	1.037e+005	0	171.5	-206.7	0	-0	1.33e+008	0.377
25	1	IPN-100	A52	3306	0	-422.2	-791.1	0	-0	8.964e+007	0.254
26	0.5	RECTANGULAR-80-40-3	A52	-6e+004	0	4.547e-013	-1.819e-012	0	-0	9.188e+007	0.26
27	0.5	RECTANGULAR-80-40-3	A52	-6e+004	0	0	0	0	-0	9.188e+007	0.26
28	0.5	RECTANGULAR-80-40-3	A52	-5e+004	0	4.547e-013	-1.819e-012	0	-0	7.657e+007	0.217
29	0.5	RECTANGULAR-80-40-3	A52	-3e+004	0	0	0	0	-0	4.594e+007	0.13
30	0.5	RECTANGULAR-80-40-3	A52	-2e+004	0	5.414e-014	-3.442e-013	0	-0	3.063e+007	0.0868
31	0.5	RECTANGULAR-80-40-3	A52	-3e+004	0	0	0	0	-0	4.594e+007	0.13
32	0.5	RECTANGULAR-80-40-3	A52	-5e+004	0	-4.547e-013	1.819e-012	0	-0	7.657e+007	0.217
33	1	IPN-100	A52	-1e+005	0	-2500	1e+004	0	0	6.066e+008	1.72
34	1	IPN-100	A52	-1.6e+005	0	-2500	-1e+004	0	0	6.632e+008	1.88
35	1	IPN-100	A52	-1.8e+005	0	-2500	-1e+004	0	0	6.821e+008	1.93
36	1	IPN-100	A52	-1.8e+005	0	-2500	-1e+004	0	0	6.821e+008	1.93
37	1	IPN-100	A52	-1e+005	0	-2500	-1e+004	0	0	6.066e+008	1.72
38	1	IPN-100	A52	-1.6e+005	0	-2500	-1e+004	0	0	6.632e+008	1.88
39	1.118	RECTANGULAR-80-40-3	A52	1.118e+005	0	-4.067e-013	-4.547e-013	0	-0	1.712e+008	0.485
40	1.118	RECTANGULAR-80-40-3	A52	6.708e+004	0	-2.274e-013	2.274e-013	0	-0	1.027e+008	0.291
41	1.118	RECTANGULAR-80-40-3	A52	1.118e+005	0	4.547e-013	0	0	-0	1.712e+008	0.485
42	1.118	RECTANGULAR-80-40-3	A52	6.708e+004	0	-4.59e-013	-6.821e-013	0	-0	1.027e+008	0.291
43	1.118	RECTANGULAR-80-40-3	A52	2.236e+004	0	7.626e-013	6.821e-013	0	-0	3.424e+007	0.0971
44	1.118	RECTANGULAR-80-40-3	A52	2.236e+004	0	-3.411e-013	2.274e-013	0	-0	3.424e+007	0.0971
45	1	IPN-100	A52	-4.88e-010	0	-2.274e-013	4.547e-013	0	-0	5.069e-007	1.44e-015
46	1	IPN-100	A52	1e+005	0	4.547e-013	-9.095e-013	0	-0	9.434e+007	0.267
47	1	IPN-100	A52	1.6e+005	0	5.173e-013	1.023e-012	0	-0	1.509e+008	0.428
48	1	IPN-100	A52	1.6e+005	0	4.547e-013	-9.095e-013	0	-0	1.509e+008	0.428
49	1	IPN-100	A52	1e+005	0	-4.547e-013	9.095e-013	0	-0	9.434e+007	0.267
50	1	IPN-100	A52	-0	0	2.274e-013	0	0	-0	4.659e-008	1.32e-016

Comentarios

No se ha considerado anÃ¡lisis P-DELTA. Por tanto el factor de resistencia No incluye efectos de segundo orden
El lÃmite de resistencia considerado para los aceros es de:

A37	A42	A52
2.35e+008Pa	2.55e+008Pa	3.53e+008Pa

Un factor menor que 1.0 indica seguridad en la barra

CÃ¡lculo de una barra. Elemento 1 Perfil RECTANGULAR-80-40-3

A=0.000653m²

Iy=5.1e-007m⁴

Iz=1.72e-007m⁴

Wy=Iy/Zg=1.28e-005m³

Wz=Iz/Yg=8.62e-006m³

Aty=0.00024m²

Atz=0.00048m²

s_x=N/A+My/Wy+Mz/Wz=-5.92e+004/0.000653+0/1.28e-005+1.23e+003/8.62e-006 (N/m^2)=2.33e+008Pa

t_y=Qy/Aty=1.38e+007Pa

t_z=Qz/Atz=0Pa

s_{von mises,1}=s_x=2.33e+008Pa

s_{von mises,2}=(3.0Â·t_y²)^1/2=2.39e+007Pa

s_{von mises,3}=(3.0Â·t_z²)^1/2=0Pa

s_{von mises,max}=2.33e+008Pa < 3.53e+008Pa CUMPLE