Expo de cross
15
METODO DE CROSS Integrante : Cristian Gershon
Transcript of Expo de cross
METODO DE CROSSIntegrante : Cristian Gershon
Secciones de columna Secciones de viga
Fórmula para la inercia
I = B*H3/12
Dje =KJE /(KJE+KJK+KJB+KJI)
K = I/L
Ejemplo
Formula para la viga Formula para el voladizo
Momentos de Empotramiento Perfecto
M = WL2/12 M = WL2/2
𝑀𝑚𝑎𝑥=𝑊 𝐿28
−𝑀 1+𝑀 22
Determinación de los momentos máximos
𝑀𝑚𝑎𝑥1=0.24∗3.132
8− 0.16553+0.1953
2=0.113492
𝑀𝑚𝑎𝑥 2=0.24∗3.132
8− 0.18243+0.25485
2=0.075267
𝑀𝑚𝑎𝑥 3=0.6∗3.132
8− 0.39069+0.48325
2=0.2977975
𝑀𝑚𝑎𝑥 4= 0.6∗3.132
8− 0.45223+0.67778
2=0.1697625
𝑀𝑚𝑎𝑥1 2
3 4
0.07535 -0.00624 0.12538
0.1507
0.23571-0.01894
-0.01248
0.25076 0.38977
0.16553-0.01287
0.27435
-0.16553 0.1953 -0.18243 0.25485 -0.5292
-1.323-0.45223 0.67778-0.39069
0.48325
0.113492
0.075267
0.2977975
0.1697625
Reacciones en columnas
0.16553
0.23571
R=
R=
-0.01287
-0.01894
R=
R=-0.0103
0.27435
0.38977
R=
R=2142
c
b
i
j
d
e
0.1507
0.07535
R=
R=0551
-0.01248
-0.00624
R=
R=-0.0046
0.25076
0.12538
R=b
a
j
k
e
fR=0.0917
Reacciones en vigas
W=0.24
L=3.13m
0.1953-0.16553
𝑀 𝑖=−0.16553+0.1953−0.24∗3.132
2
𝑀 𝑖=−1.145858
𝑅𝑐=−1.1458583.13
𝑅𝑐=−0.3661
𝑀 𝑖=−0.16553+0.1953+0.24∗3.132
2
𝑀 𝑖=1.205398
𝑅𝑐=1.205398 3.13
𝑅𝑐=0.3851
c i
W=0.24
L=3.13m
0.25485-0.18243
𝑀𝑑=−0.18243+0.25485−0.24∗3.132
2
𝑀𝑑=−1.103208
𝑅𝑖=−1.1032083.13
𝑅𝑖=−0.3525
i d
𝑀 𝑖=−0.18243+0.25485+0.24 ∗3.132
2
𝑀 𝑖=1.248048
𝑅𝑑=1.248048 3.13
𝑅𝑑=0.3987
Reacciones en vigas
W=0.6
L=3.13m
0.48325-0.39069
𝑀 𝑗=−0.39069+0.48325−0.6∗3.132
2
𝑀 𝑗=−2.84651
𝑅𝑏=−2.846513.13
𝑅𝑏=−0.9094
𝑀𝑏=−0.3906 9+0.48325+0.6∗3.132
2
𝑀𝑏=3.0316
𝑅 𝑗=3.0316 3.13
𝑅 𝑗=0.9686
b j
W=0.6
L=3.13m
0.67778-0.45223
𝑀 𝑒=−0.45223+0.67778−0.6∗3.132
2
𝑀 𝑒=−2.71352
𝑅 𝑗=−2.713523.13
𝑅 𝑗=−0.8669
j e
𝑀 𝑗=−0.45223+0.67778+0.6∗3.132
2
𝑀 𝑗=3.16462
𝑅𝑒=3.16462 3.13
𝑅𝑒=1.0111
Reacciones en voladizos
W=0.24
L=2.1md g
𝑅𝑑=−0.24∗2.1𝑅𝑑=−0.504
W=0.6
L=2.1me h
𝑅𝑒=−0.6∗2.1𝑅𝑒=−1.26
0.1294
0.0551
-0.0103
-0.0046
0.2142
0.0917
-0.3661
0.3851
-0.3525
0.3987
-0.9094
0.9686
-0.8669
1.0111
-0.504
-1.26
0.1294
0.0551
-0.0103
-0.0046
0.2142
0.0917
-0.3661
0.3851
-0.3525
0.3987
-0.9094
0.9686
-0.8669
1.0111
-0.504
-1.26
0.0563
1.2735
0.0043
2.5736
0.0933
3.1753
0.0551
1.2755
0.0046
2.5731
0.0917
3.1738
0.0068
1.2209
0.0304
2.3087
0.0237
3.4928
