2.11 The stress function = Ax + Bxy + Cy provides the direct and shear stresses in a thin rectangularplate. One corner, which lies at the origin, is position- and direction-fixed. Show that the displacementsfor the diagonally opposite corner (a, b) are: u = 2a(C - v A)/E, v = 2b(A v C)/E.

The given stress function is,ϕ=Ax2+Bxy+Cy2A,b are,u=2aC-vAEv=2BA-vCE

2.11 The stress function = Ax + Bxy + Cy provides the direct and shear stresses in a thin rectangular plate. One cormer, which lies at the origin, is position- and direction-fixed. Show that the displacements for the diagonally opposite corner (a, b) are: u = 2a(C - v A)/E, v = 2b(A - v C)/E.

2.11 The stress function = Ax + Bxy + Cy provides the direct and shear stresses in a thin rectangular plate. One cormer, which lies at the origin, is position- and direction-fixed. Show that the displacements for the diagonally opposite corner (a, b) are: u = 2a(C - v A)/E, v = 2b(A - v C)/E.

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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