A beam of length $8\text{ m}$ is simply supported at its ends and car…

Previous year question for MECHANICS OF SOLIDS.

Question

A beam of length $8\text{ m}$ is simply supported at its ends and carries two point loads of $36\text{ kN}$ and $46\text{ kN}$ at a distance of $1.5\text{ m}$ and $4\text{ m}$ from the left support. Find :

(i) Deflection under each load

(ii) Maximum deflection

(iii) The point at which maximum deflection occurs, given $\text{E} : 2 \times 10^5\text{ N/mm}^2$ and $\text{I} : 85 \times 10^6\text{ mm}^4$. Use Macaulay's method. [20]

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