# GATE Papers >> Mechanical >> 2016 >> Question No 245

Question No. 245
A beam of length L is carrying a uniformly distributed load w per unit length. The flexural rigidity of the beam is EI. The reaction at the simple support at the right end is

##### Answer : (B) $\frac{3wL}{8}$

Solution of Question No 245 of GATE 2016 Mechanical Paper

$\begin{array}{l}{\mathrm\delta}_\mathrm B=0=\frac{\mathrm{wL}^4}{8\mathrm{EI}}-\frac{{\mathrm R}_1\mathrm L^3}{3\mathrm{EI}}\\\frac{\mathrm{wL}^4}{8\mathrm{EI}}=\frac{{\mathrm R}_1\mathrm L^3}{3\mathrm{EI}}\\{\mathrm R}_1=\frac{3\mathrm{wL}}8\end{array}$

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