Question

For the arrangement shown below a moment of 100 t-m is acting at the common joint 'O'

The moment induced in member OB is _____t-m.
[Assume EI to be constant for all members]

• A. 24.74

Answer 1

The correct option is A 24.74
Relative stiffness of each member
$K_{OA}=I/1$
$K_{OB}=I/2$
$K_{OC}=I/3$

$K_{OD}=\frac{3}{4}.\frac{I}{4}=\frac{3I}{16}$

$SK=\frac{97I}{48}$

$DistributionfactorofOB=\frac{1}{2}\times \frac{48}{97}=\frac{24}{97}$

$M_{OB}=\frac{24}{97}\times 100=24.74tm$