Section: Solid Mechanics | Marks: 2
A cylinder made of rubber (length = L and diameter = d) is inserted in a rigid container as shown in the figure. The rubber cylinder fits snugly in the rigid container. There is no wall friction. The modulus of elasticity of the rubber is E and its Poisson’s ratio is ν. The cylinder is subjected to a small uniform pressure 𝑝 as shown in the figure. The resulting axial strain (𝜀𝑧𝑧) is
- A. − 𝑝 𝐸
- B. − 𝑝 𝐸(1 −2ν)
- C. − 𝑝 𝐸[(1 + ν)(1 −2ν) (1 −ν) ]
- D. − 𝑝 𝐸[(1 −ν)(1 −2ν) (1 + ν) ]
Answer: C. − 𝑝 𝐸[(1 + ν)(1 −2ν) (1 −ν) ]