Question

A simply supported beam of span L and depth d carries a central a load w. The ratio of maximum deflection to maximum bending stress is $\frac{L^2}{kEd},$ then the value of k is _____.

• A. 6

Answer 1

The correct option is A 6
where, d = depth of beam and B = width of beam [Assume]

$\frac{{\delta }_{max}}{{\sigma }_{max}}=\frac{W{L}^3/48EI}{\left[\right(WL/4\left)/Z\right]}=\frac{W{L}^3/48EI}{\left[\right(WL/4\left)/I\right]\frac{d}{2}}$
$=\frac{L^2}{kEd}$

So k = 6