Question

Two beams are connected by a linear spring as shown in the following figure. For a load P as shown in the figure, the percentage of the applied load P carried by the spring is.
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• A. 25

Answer 1

The correct option is A 25
Compression of spring $=\frac{(P-R)L^3}{3EI}-\frac{R{L}^3}{3EI}=\frac{R}{K_s}$
$=\frac{(P-R)L^3}{3EI}-\frac{R{L}^3}{3EI}=\frac{RX\left(2L^3\right)}{3EI}$
$(P-R-R=2R)$
$P=4R$
$R=\frac{P}{4}$
% force carried by spring = 25%