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The planar structure RST shown in the figure is roller-supported at $\mathrm{S}$ and pin-supported at R. Members RS and ST have uniform flexural rigidity (EI) and $S$ is a rigid joint. Consider only bending deformation and neglect effects of self-weight and axial stiffening.

When the structure is subjected to a concentrated horizontal load $P$ at the end $\mathrm{T}$, the magnitude of rotation at the support $\mathrm{R},$ is

(A) $\frac{P L^{3}}{12 E I}$
(B) $\frac{P L^{2}}{12 E I}$
(C) $\frac{P L^{2}}{6 E I}$
(D) $\frac{P L}{6 E I}$


Question ID - 157345 | Toppr Answer

The planar structure RST shown in the figure is roller-supported at $\mathrm{S}$ and pin-supported at R. Members RS and ST have uniform flexural rigidity (EI) and $S$ is a rigid joint. Consider only bending deformation and neglect effects of self-weight and axial stiffening.

When the structure is subjected to a concentrated horizontal load $P$ at the end $\mathrm{T}$, the magnitude of rotation at the support $\mathrm{R},$ is

(A) $\frac{P L^{3}}{12 E I}$
(B) $\frac{P L^{2}}{12 E I}$
(C) $\frac{P L^{2}}{6 E I}$
(D) $\frac{P L}{6 E I}$

1 Answer - 5876 Votes

3537

Answer Key : (B) -

$\frac{P L^{2}}{12 E I}$



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