Note: For all problems, USE MOMENT DISTRBUTION METHOD. You are asked to sketch a final bending moment diagram. You may skip the shear force diagram if you wish.

SHOW $($HAND SOLUTION$)$ TWO ITERATIONS FOR CASE $2,$ USE THE MATLAB PROGRAM PROVIDED FOR COMPLETE ITERATIONS OF BOTH CASE $1$ AND CASE $2$

HW$08-01$

Analyze the moments in the frame shown below using moment distribution, and then sketch the final bending moment diagram. EI is constant throughout the frame. A and D are pinned connections. Approach: Analyze the moments for two cases. Case $1$: Frame is fixed against sway. Case $2$: Reaction force from Case $1$ is applied as a lateral load. The final answer is the superposition of the two cases. Answer to check: $M_{BA}=104k-$ft counter$-$clockwise

Hand solutions must demonstrate at least the following with necessary sketches:

Calculations of fixed$-$end moments

Calculations of stiffness factors

Calculations of distribution factors

Determination of carry$-$over factors

Calculations of support reactions for both Case $1$ and Case $2$

Summary of computed end moments for both Case $1$ and Case $2,$ preferably shown on a sketch of the frame