Equivalent Bending Moment Research Articles

A Note on the Buckling of Struts

SummaryInvariably the texts in elasticity and strength of materials derive the stability criteria for struts by first setting up the beam bending moment equation. Together with suitable boundary conditions this equation is then solved as an eigenvalue problem for non-zero solutions. It is indicated here that in general this procedure is too limited, both physically and mathematically, and that in some cases the correct approach yields additional results which normally would not become evident by employing the classical method.

XXVII.—On the Effect of Internal Friction in Cases of Compound Stress

SummaryThe minimum resistance to deformation, and the inclination of the surfaces of sliding, are given for any system of stress in a body, supposing internal friction to be operative.The effect of internal friction in various cases of combined loading, and the value of the coefficient have been calculated from experimental data. The results do not allow of a definite value being assigned to μ for steel.Certain differences in the behaviour of ductile and of brittle bodies, when loaded, are pointed out.An expression for the equivalent bending moment of a shaft submitted to simultaneous bending and twisting, when internal friction is allowed for, is given.