The flexure of a prism with cross-section bounded by a cardioid

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Abstract

This paper contains the first solution in finite terms of de Saint Venant’s flexure problem for a prism with cross-section of uniaxial symmetry. We take rectangular axes O ( xyz ), such that the generators of the cylindrical surface of the prism are parallel to O z , which passes through the centroids of the cross-sections. Let us suppose that the load is applied at the end z = 0 in the negative direction of the axis of y . Then apart from rigid body displacements, the displacements are given by u = - W/EI σxyz - τyz , v = W/EI {½ σz ( x 2 - y 2 ) - 1/6 z 3 } + τzx , w = W/EI { X + ½ yz 2 - x 2 y } + ½ ϕ .

Publisher

The Royal Society

Subject

Pharmacology (medical)

Cited by 1 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. iii. Elasticity;Reports on Progress in Physics;1938-01-01

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