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