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

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

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Question

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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