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Show that the following function may be used as an Airy stress function + = Ax? + Br?y + Cry

Show that the following function may be used as an Airy stress function + = Ax? + Br?y + Cry

Structural Analysis
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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Show that the following function may be used as an Airy stress function + = Ar + Br²y + Cxy Evaluate A, B and C for the rectangle shown in Figure Q3: (1) there are no external loads for any kind applied along KN; (2) along KL there is a uniform normal load p; (3) and along MN there is no normal load; (4) along KL, LM and MN there are shear stresses (but none along KN). Make a neat sketch of the stresses along the boundary KLMN. N M Thickness=1 p per unit length a
Transcribed Image Text:Show that the following function may be used as an Airy stress function + = Ar + Br²y + Cxy Evaluate A, B and C for the rectangle shown in Figure Q3: (1) there are no external loads for any kind applied along KN; (2) along KL there is a uniform normal load p; (3) and along MN there is no normal load; (4) along KL, LM and MN there are shear stresses (but none along KN). Make a neat sketch of the stresses along the boundary KLMN. N M Thickness=1 p per unit length a
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