The general expressions for the two direct stress components of a plane stress field have the form: 011 022 = ax + bxx2 + cx₁x² + dx kx3 + lxx₂+mx₁x² + nx = where a, b, c, d, k, l, m, n are constants. Determine the necessary relationship for these constants if the stress distribution is to be compatible. For the special case where a = c = d = k = m =0, determine expressions for the compatible stress components σ11, 022, and 012

Understanding Business
12th Edition
ISBN:9781259929434
Author:William Nickels
Publisher:William Nickels
Chapter1: Taking Risks And Making Profits Within The Dynamic Business Environment
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The general expressions for the two direct stress components of a plane stress field have the
form:
011
022
=
ax + bxx2 + cx₁x² + dx
kx3 + lxx₂+mx₁x² + nx
=
where a, b, c, d, k, l, m, n are constants. Determine the necessary relationship for these constants
if the stress distribution is to be compatible. For the special case where a = c = d = k = m =0,
determine expressions for the compatible stress components σ11, 022, and 012
Transcribed Image Text:The general expressions for the two direct stress components of a plane stress field have the form: 011 022 = ax + bxx2 + cx₁x² + dx kx3 + lxx₂+mx₁x² + nx = where a, b, c, d, k, l, m, n are constants. Determine the necessary relationship for these constants if the stress distribution is to be compatible. For the special case where a = c = d = k = m =0, determine expressions for the compatible stress components σ11, 022, and 012
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