SemiRigid Portal Frame

Data: Beam: Span(L) Youngs Modulus ,E Moment of Inertia (I) EI/L Lateral Load(P)

= = = = =

2 m 2.00E+08 kN/m2 5.13E-05 m4 5132 kN/m 5 kN

Height(H) Youngs Modulus ,E Moment of Inertia (I) EI/H

= = = =

5 m 2.00E+08 kN/m2 5.13E-05 m4 2052.8 kN/m

Connection Stiffness(K1) Connection Stiffness(K2)

= =

rbc rcb Carry over factor (bc) Carry over factor (cb)

= = = =

0.4 0.4 0.2 0.2

Stiffness Factor(Kbc) Stiffness Factor(Kcb)

= =

6415 6415

Stiffness Factor(Kba) Stiffness Factor(Kcd)

= =

8211.2 8211.2

Carry over factor (ba) Carry over factor (cd)

= =

0.5 0.5

DF(ba) DF(bc) DF(cb) DF(cd)

= = = =

0.56 0.44 0.44 0.56

a b W

= = =

1m 1m 10 kN

M1

=

1.25 KNm

M2

=

-1.25 KNm

Column:

10264 kN/m 10264 kN/m

Beam:

Column:

Distribution Factor:

Fixed End Moment: Point Load:

Without Sway: A AB

Joint Member DF FEM Distr.1 Carry Ovr1 Distr.2 Carry Ovr2 Distr.3

B BA

C BC

0.56 -0.7017544 -0.350877193 -0.0615574 -0.0307787011 -0.0053998 -0.3816558941 -0.7687116

0.44 1.25 -0.5482456 0.1096491 -0.0480917 0.0096183 -0.0042186 0.7687116

CB 0.44 -1.25 0.548246 -0.109649 0.048092 -0.009618 0.004219 -0.768712

Sway: Fixed End Moment: Mab,Mcd,Mba,Mdc

=

A AB

Joint Member DF FEM Distr.1 Carry Ovr1 Distr.2 Carry Ovr2 Distr.3

2463.36 B BA

C BC

0.56 0.44 2463.36 -1382.9389 -1080.4211 -691.4694736842 -216.08421 121.310434 94.773777 60.6552169898 18.954755 -10.641266 -8.3134892 1832.5457433056 1191.09022 -1191.0902 7.5759192131 4.92408079 -4.9240808 7.1942633189 4.1553692 -4.155369

CB 0.44

2463.36

Moment aft Factr Final End Moments Shear Forces:

-1080.421 -216.0842 94.77378 18.95476 -8.313489 -1191.09 -4.924081 -5.69279

QA QD

= =

604.72719 604.72719

R*

=

1209.4544

Factor

=

0.0041341

Sway Displacement

=

0.004134 m

Input Input Input Input Input Input Input K1

K2 C a

b

Input Input

A

Input Input Input

D

C CD 0.56

D DC

0.701754 0.350877 0.061557 0.030779 0.0054 0.768712 0.381656

C CD 0.56 2463.36 -1382.939

D DC 2463.36 -691.4695

121.3104 60.65522 -10.64127 1191.09 1832.546 4.924081 7.575919 5.69279 7.95758