Question

A short pipe of 2 m diameter is subjected to an axial force of 10 MN (10000000 N). Using a safety factor 2 and a yield stress 500 MPa, calculate the required thickness on the basis of von-Mises criterion.

Answer 1

The question asks for the calculation of pipe thickness based on von-Mises criterion, considering axial force, safety factor, and yield stress.

Step-by-step explanation:

The question involves using the von-Mises criterion for determining the required thickness of a pipe that can safely withstand a given axial force, taking into account the yield stress and a safety factor.

Step-by-Step Calculation:

1. Convert the yield stress to N/m²: 500 MPa = 500 x 10&sup6; N/m².
2. Calculate the reduced stress using von-Mises criterion which is σ = F/A, where F is the force and A is the projected area.
3. Apply the safety factor to determine the maximum allowable stress: σ_allowable = Yield Stress / Safety Factor.
4. Calculate the minimum wall thickness (t) based on the allowable stress and the diameter of the pipe (d): t ≥ (F / (π × d × σ_allowable)).

By substituting the given values, we can calculate the required thickness.