If the stress distribution in the rectangular plate shown in the figure can be given by the Airy stress function P = pr³y+ qry³, where p, q are constants, then, (a) Verify whether the given stress function satisfies the compatibility conditions for plane stress problem. (b) Determine the stresses oz, Oy and Try. (c) Sketch the boundary stresses on the plate. (d) Find the resultant normal and shearing boundary forces along the right and bottom edges of the plate. y a

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter8: Applications Of Plane Stress (pressure Vessels, Beams, And Combined Loadings)
Section: Chapter Questions
Problem 8.5.16P: A sign is supported by a pipe (see figure) having an outer diameter 110 mm and inner diameter 90 mm....
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If the stress distribution in the rectangular plate shown in the figure can be given by the Airy
stress function P = pr³y+qxy°, where p, q are constants, then,
(a) Verify whether the given stress function satisfies the compatibility conditions for plane
stress problem.
(b) Determine the stresses oz, Oy and Try.
(c) Sketch the boundary stresses on the plate.
(d) Find the resultant normal and shearing boundary forces along the right and bottom edges
of the plate.
y
a
Transcribed Image Text:If the stress distribution in the rectangular plate shown in the figure can be given by the Airy stress function P = pr³y+qxy°, where p, q are constants, then, (a) Verify whether the given stress function satisfies the compatibility conditions for plane stress problem. (b) Determine the stresses oz, Oy and Try. (c) Sketch the boundary stresses on the plate. (d) Find the resultant normal and shearing boundary forces along the right and bottom edges of the plate. y a
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