DISTORTIONS AND STRESSES OF PARABOLOIDAL SURFACE STRUCTURES. PART 2. THE MEMBRANE BEHAVIOR
Abstract
The paraboloidal shell will, under the proper circumstances, prefer to carry the applied loads by the development of the force resultants N rather than by the development of the transverse shear resultants Q and the bending moment resultants, M . Such behavior is commonly called membrane behavior although the term "Momentless" behavior is the more connotative. The membrane or momentless behavior will be the dominant mode of behavior when either the bending moments induced by the loads are negligibly small or whenever the flexural (bending) rigidity of the shell is sufficiently small so that the shell will deform without inducing appreciable bending moments. In this chapter, various solutions of the membrane equations as written in terms of the polar parameters will be presented. The so-called membrane equations are easily obtained by omitting the M , Q , and k terms from the equations which have been derived in the previous sections.
Document Details
- Document Type
- Technical Report
- Publication Date
- Jan 04, 1963
- Accession Number
- AD0296491
Entities
People
- Frederic Y.m. Wan
- James W. Mar
Organizations
- Massachusetts Institute of Technology