Problem $3$

$[20$ Credits$]$

An external couple $($moment$)$ of $50kNm$ is applied at joint $B$ of the following frame. Calculate:

a$)$ the Distribution Factors for the $2$ members connected at $B$

b$)$ the End$-$Moments of the members

c$)$ the rotation of joint $B,{}_B,$ due to the given loading.

Given:

Modulus of elasticity: $E=30$GPa, Moment of inertia $I=400{10}^{6}m{m}^4.$

Problem $4$

$[40$ Credits$]$

Using any of the two Displacements Methods $($Slope$-$deflection or Cross$),$ calculate the endmoments and end$-$forces of the members of the following beam and draw the Shear force $(V)$ and Bending Moment $($M$)$ diagrams. Note that the support at B is subjected to a vertical settlement of $10mm.$

$E=80$GPa

$I=40{10}^{6}m{m}^4$

GOOD LUCK!