Limit loads for tubes under internal pressure, bending moment, axial force and torsion☆

Abstract Under certain simplifying assumptions as commonly made in design practice, expressions are derived for the loads to cause complete yielding of thin and thick-walled tubes under internal pressure, bending moment, axial force and torque. The analyses have been done, using the Tresca yield criterion, on the basis of statically admissible stress distributions, which give conservative results. Results are presented as charts which give the limit loads for a wide range of conditions.