Your tasks for the hand calculation part are to:

Use the principle of superposition to analyze the structure with two cases: one with an

artificial joint $($Case I: no sidesway$)$ and the other without the artifical joint $($Case II: sidesway$)$

$(6$ marks$)$

Solve the structure in Case I with the artificial joint $($no sidesway$)$ and determine the reaction

force at the artificial joint, $R$

$(20$ marks$)$

Solve the structure in Case II without the artificial joint $($sidesway$)$ and determine the reaction

force at the artificial joint, $R^{\text{'}}$

$(20$ marks$)$

Determine $\frac{R}{R^{\text{'}}},$ complete the superposition, and calculate the final end moment for all the

joints.

$(7$ marks$)$

You are encouraged to use Excel for the hand calculation.