Determine whether the following stress functions satisfy the conditions of compatibility for a two-dimensional problem: $₁ = ax² + bxy + cy² $₂ = ax³ + bx²y + cxy² + dy³ Фг Here a, b, c, and d are constants. Also obtain the stress fields that arise from Þ₁ and Þ₂. (a) (b)

Structural Analysis
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Author:KASSIMALI, Aslam.
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Chapter2: Loads On Structures
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Determine whether the following stress
functions satisfy the conditions of
compatibility for a two-dimensional
problem:
$₁ = ax² + bxy + cy²
$₂ = ax³ + bx²y + cxy² + dy³
Фг
Here a, b, c, and d are constants. Also
obtain the stress fields that arise from
Þ₁ and Þ₂.
(a)
(b)
Transcribed Image Text:Determine whether the following stress functions satisfy the conditions of compatibility for a two-dimensional problem: $₁ = ax² + bxy + cy² $₂ = ax³ + bx²y + cxy² + dy³ Фг Here a, b, c, and d are constants. Also obtain the stress fields that arise from Þ₁ and Þ₂. (a) (b)
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