Problem 2. A simply supported plate is loaded under its own weight (body force f₁ = -pg ). The plate has unit thickness in the z-direction and is considered to be thin. The stress state is known to be of the form: 2 3 σ × = [c + b(x² − Ľ²)]y − — by ³ σ yy = (-ay + by³)/3 Tx = (ax-bxy²) τ xy 3 Find the constants a, b and c. 2h

Elements Of Electromagnetics
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Author:Sadiku, Matthew N. O.
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Problem 2. A simply supported plate is loaded under its own weight (body force f₁ = -pg ). The
plate has unit thickness in the z-direction and is considered to be thin. The stress state is known to
be of the form:
2 3
σ × = [c + b(x² − Ľ²)]y − — by ³
σ
yy
= (-ay + by³)/3
Tx = (ax-bxy²)
τ
xy
3
Find the constants a, b and c.
2h
Transcribed Image Text:Problem 2. A simply supported plate is loaded under its own weight (body force f₁ = -pg ). The plate has unit thickness in the z-direction and is considered to be thin. The stress state is known to be of the form: 2 3 σ × = [c + b(x² − Ľ²)]y − — by ³ σ yy = (-ay + by³)/3 Tx = (ax-bxy²) τ xy 3 Find the constants a, b and c. 2h
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