Question

Which one of the following gives the distribution factors for members AB and AD of box section shown in the given figure?

• A. 0.67 and 0.33
• B. 0.33 and 0.67
• C. zero and 1
• D. 0.5 and 0.5

Answer 1

The correct option is A 0.67 and 0.33

Relative stiffness

$K_{AB}=\frac{EI}{2.5};K_{AD}=\frac{EI}{5}$

Distribution factors

$D_{AB}=\frac{K_{AB}}{K_{AB}+K_{AD}}=0.67$

$D_{AD}=\frac{K_{AD}}{K_{AB}+K_{AD}}=0.33$