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For a thin plate with no body forces, a plane state of stress exists where o, = ay³ + bx³y o, = dy³ – e = fxy² + gx³y – h — сх T. xy - | where a, b, c, d, e, ƒ, g, and h are constants. What are the constraints on the con- stants such that the stress field satisfies both equilibrium and compatibility?

For a thin plate with no body forces, a plane state of stress exists where o, = ay³ + bx³y o, = dy³ – e = fxy² + gx³y – h — сх T. xy - | where a, b, c, d, e, ƒ, g, and h are constants. What are the constraints on the con- stants such that the stress field satisfies both equilibrium and compatibility?

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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For a thin plate with no body forces, a plane state of stress exists where ay + bx²y – cx dy - e Txy = fxy + gx*y – h where a, b, c, d, e, f, g, and h are constants. What are the constraints on the con- stants such that the stress field satisfies both equilibrium and compatibility?
Transcribed Image Text:For a thin plate with no body forces, a plane state of stress exists where ay + bx²y – cx dy - e Txy = fxy + gx*y – h where a, b, c, d, e, f, g, and h are constants. What are the constraints on the con- stants such that the stress field satisfies both equilibrium and compatibility?
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