A simply supported beam of constant width and varying depth and uniform strength is subjected to a central concentrated

load. The depth of the beam $d_{x}$ at a distance $x$ from one of the supports is proportional to

- 1
  
  $x^{\frac{1}{2}}$
- 2
  
  $x^{\frac{1}{3}}$
- 3
  
  $x$
- 4
  
  $x^{2}$

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