A laboratory vane shear test apparatus is used to determine the shear strength of a clay sample and only one end of the vane takes part is shearing the soil. If T = applied torque, H = height of vane and D = diameter of the vane, then the shear strength of the clay is given by

- 1
  
  $\frac{T}{{πD}^{2} (H + \frac{D}{6})}$
- 2
  
  $\frac{T}{{πD}^{2} (\frac{H}{2} + \frac{D}{6})}$
- 3
  
  $\frac{T}{{πD}^{2} (H + \frac{D}{12})}$
- 4
  
  $\frac{T}{{πD}^{2} (\frac{H}{2} + \frac{D}{12})}$

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