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PRACTICE / Elastic moduli

A block shifts sideways

An elastic block is 0.10 m tall, has top area 0.020 m² and shear modulus 5 × 10⁶ Pa. A tangential 1000 N force acts on its top while the base is fixed.

Find the top’s sideways displacement.

Organize the givens & assumptions
  • h = 0.10 m
  • A = 0.020 m²
  • G = 5×10⁶ Pa
  • F = 1000 N

Small elastic shear; base fixed, uniform tangential stress on the top and constant shear modulus.

  1. A0.10 m0.10\ \mathrm m
  2. B0.001 m0.001\ \mathrm m
  3. C0.010 m0.010\ \mathrm m
  4. D0.0001 m0.0001\ \mathrm m

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