Test: Thin & Thick Cylinders - 1 - Civil Engineering (CE) MCQ

A thin cylindrical shell of internal diameter D and thickness 't' is subjected to internal pressure ‘p’. The change in diameter is given by

A thin cylinder of thickness ‘t’, width ‘b’ and internal radius ‘r’ is subjected to a pressure ‘p’ on the entire internal surface. What is the change in radius of the cylinder? (μ is the Poisson’s ratio and E is the modulus of elasticity)?

Auto-frettage is the method of

Circumferential stress in a cylindrical steel boiler shell under internal pressure is 80 MPa. Young’s modulus of elasticity and Poisson's ratio are respectively 2 x 10⁵ MPa and 0.28. The magnitude of circumferential strain in the boiler shell will be

Hoop stress and longitudinal stress in a boiler shell under internal pressure are 100 MN/m² and 50 MN/m²respectively. Young’s modulus of elasticity and Poisson’s ratio of the shell material are 200 GN/m² and 0.3 respectively. The hoop strain in boiler shell is

A steel hub of 100 mm internal diameter and uniform thickness of 10 mm was heated to a temperature of 300°C to shrink-fit it on a shaft. On cooling a crack developed parallel to the direction of the length of the hub. Consider the following factors in this regard:
1. Tensile hoop stress
2. Tensile radial stress
3. Compressive hoop stress
4. Compressive radial stress

The cause of failure is attributed to 

A thin cylinder of unit length, thickness ‘t’ and radius ‘r’ is subjected to internal pressure ‘p’. What is the circumferential stress?