A vane shear test on a soil sample gives moment of total resistance M. The shear stress failure, 'S' being more or less uniform at top, bottom and surface of cylinder of soil, is given by (where H=height of vane, D=Diameter of vane)

- 1
  
  $S = \frac{2 M}{{πD}^{2} H}$
- 2
  
  $S = \frac{2 M}{{πD}^{2} (H + D)}$
- 3
  
  $S = \frac{2 M}{{πD}^{2} (H + \frac{D}{3})}$
- 4
  
  $S = \frac{2 M}{πDH}$

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