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Expo de cross
1.
METODO DE CROSS Integrante
: Cristian Gershon
2.
3.
Secciones de columna
Secciones de viga Fórmula para la inercia I = B*H3/12
4.
Dje =KJE /(KJE+KJK+KJB+KJI) K
= I/L Ejemplo
5.
Formula para la
viga Formula para el voladizo Momentos de Empotramiento Perfecto M = WL2/12 M = WL2/2
6.
7.
𝑀𝑚𝑎𝑥 = 𝑊𝐿2 8 − 𝑀1 +
𝑀2 2 𝑀𝑚𝑎𝑥1 = 0.24 ∗ 3.132 8 − 0.16553 + 0.1953 2 = 0.113492 𝑀𝑚𝑎𝑥2 = 0.24 ∗ 3.132 8 − 0.18243 + 0.25485 2 = 0.075267 𝑀𝑚𝑎𝑥3 = 0.6 ∗ 3.132 8 − 0.39069 + 0.48325 2 = 0.2977975 𝑀𝑚𝑎𝑥4 = 0.6 ∗ 3.132 8 − 0.45223 + 0.67778 2 = 0.1697625 𝑀𝑚𝑎𝑥1 𝑀𝑚𝑎𝑥2 𝑀𝑚𝑎𝑥3 𝑀𝑚𝑎𝑥4
8.
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
9.
Reacciones en columnas 0.16553 0.23571 R= 0.16553+0.23571 3.1 R=0.1294 -0.01287 -0.01894 R= −0.01287−0.01894 3.1 R=-0.0103 0.27435 0.38977 R= 0.27435+0.38977 3.1 R=0.2142 c b i j d e 0.1507 0.07535 R= 0.1507+0.07535 4.1 R=0.0551 -0.01248 -0.00624 R= −0.01248−0.00624 4.1 R=-0.0046 0.25076 0.12538 R= 0.25076+0.12538 4.1 b a j k e f R=0.0917
10.
Reacciones en vigas W=0.24 L=3.13m 0.1953-0.16553 𝑀𝑖
= −0.16553 + 0.1953 − 0.24 ∗ 3.132 2 𝑀𝑖 = −1.145858 𝑅 𝑐 = −1.145858 3.13 𝑅 𝑐 = −0.3661 𝑀𝑖 = −0.16553 + 0.1953 + 0.24 ∗ 3.132 2 𝑀𝑖 = 1.205398 𝑅 𝑐 = 1.205398 3.13 𝑅 𝑐 = 0.3851 c i W=0.24 L=3.13m 0.25485-0.18243 𝑀 𝑑 = −0.18243 + 0.25485 − 0.24 ∗ 3.132 2 𝑀 𝑑 = −1.103208 𝑅𝑖 = −1.103208 3.13 𝑅𝑖 = −0.3525 i d 𝑀𝑖 = −0.18243 + 0.25485 + 0.24 ∗ 3.132 2 𝑀𝑖 = 1.248048 𝑅 𝑑 = 1.248048 3.13 𝑅 𝑑 = 0.3987
11.
Reacciones en vigas W=0.6 L=3.13m 0.48325-0.39069 𝑀𝑗
= −0.39069 + 0.48325 − 0.6 ∗ 3.132 2 𝑀𝑗 = −2.84651 𝑅 𝑏 = −2.84651 3.13 𝑅 𝑏 = −0.9094 𝑀 𝑏 = −0.39069 + 0.48325 + 0.6 ∗ 3.132 2 𝑀 𝑏 = 3.0316 𝑅𝑗 = 3.0316 3.13 𝑅𝑗 = 0.9686 b j W=0.6 L=3.13m 0.67778-0.45223 𝑀𝑒 = −0.45223 + 0.67778 − 0.6 ∗ 3.132 2 𝑀𝑒 = −2.71352 𝑅𝑗 = −2.71352 3.13 𝑅𝑗 = −0.8669 j e 𝑀𝑗 = −0.45223 + 0.67778 + 0.6 ∗ 3.132 2 𝑀𝑗 = 3.16462 𝑅 𝑒 = 3.16462 3.13 𝑅 𝑒 = 1.0111
12.
Reacciones en voladizos W=0.24 L=2.1md
g 𝑅 𝑑 = −0.24 ∗ 2.1 𝑅 𝑑 = −0.504 W=0.6 L=2.1me h 𝑅 𝑒 = −0.6 ∗ 2.1 𝑅 𝑒 = −1.26
13.
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
14.
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
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