A simply supported beam of span $L$ carries a concentrated load $W$ at mid-span. If the width $b$ of the beam is constant

and its depth is varying throughout the span, then what should be its mid-span depth, when design stress is $f$ ?

- 1
  
  $\frac{\sqrt{6 W L}}{b f}$
- 2
  
  $\frac{6 W L}{b f}$
- 3
  
  $\frac{\sqrt{3 W L}}{2 b f}$
- 4
  
  $\frac{3 W L}{2 b f}$

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