This physics problem tests your understanding of fundamental physical laws and their applications. The step-by-step solution below breaks down the problem using relevant equations and physical reasoning.
ScanSolve AI Answer
Step 1: Identify the given parameters and the condition. The inner diameter of the boiler is D = 1 m, so the inner radius is r = (D)/(2) = 0.5 m. The internal pressure is p = 400 kPa = 400 × 10^3 Pa. The condition is that the maximum in-plane shear stress at point 'a' is zero. This implies that the two principal normal stresses in the plane are equal. Step 2: Determine the stresses acting on the boiler wall. We assume the boiler can be analyzed using thin-walled pressure vessel theory, as the thickness is not provided and often cancels out in