Question

The distribution of stresses in a thick spherical shell are:

• A. Parabolic in nature
• B. Uniform in nature
• C. Cubic in nature
• D. Hyperbolic in nature

Answer 1

Answer:

C. Cubic in nature

Thick spherical shells have cubic stress distribution, with maximum stress at the inner surface. Pressure distribution is given by $P_{x} = - a + \frac{2b}{x ^ 3}$ where a and b are constants, and stress distribution is given by $( \sigma_n )_x = a + \frac{b}{x ^ 3}$ At $x = R_{i}$ (inner radius), Internal pressure, $P_{i} = P$ and at $x = R_{o}$ (outer radius), $P_o = 0.$

The distribution of stresses in a thick spherical shell are: Cubic in nature