A simply supported beam of span / carries over its full span a load varying linearly from zero at either end to w/unit length at midspan. The maximum bending moment occurs at

- 1
  
  $q u a r t e r p o i n t s a n d i s e q u a l t o \frac{w l^{2}}{8}$
- 2
  
  $q u a r t e r p o i n t s a n d i s e q u a l t o \frac{w l^{2}}{12}$
- 3
  
  $m i d s p a n a n d i s e q u a l t o \frac{w l^{2}}{8}$
- 4
  
  $m i d s p a n a n d i s e q u a l t o \frac{w l^{2}}{12}$

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