Question

Consider the diagram below. If support B sinks by 5 mm, then slope of beam at support B will be$\times {10}^{-4}$ radian.

• A. 7.5

Answer 1

The correct option is A 7.5

$\because M_{BA}=FE{M}_{BA}+\frac{2EI}{l}({\theta }_A+2{\theta }_B-\frac{3\delta }{l})$
$FE{M}_{BA}=0;{\theta }_A=0$ [Fixed support]
$M_{BA}=0+\frac{2EI}{l}(0+2{\theta }_B)-\frac{6EI\delta }{l^2}$
$M_{BA}=0;\left[hingedsupport\right]{\theta }_B=\frac{3}{2}\left(\frac{\delta }{l}\right)$
$=\frac{3}{2}\times \frac{5\times {10}^{-3}}{10}=7.5\times {10}^{-4}\text{radian}$