Equations for Biosolid Mechanics Final Exam

Equations for Biosolid Mechanics Final Exam - Equations for...

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Unformatted text preview: Equations for Biosolid Mechanics (BME 240) Final Exam Spring 2007 α σ α α σ α σ σ 2 2 sin cos sin 2 cos yy xy xx xx + + = ′ α σ α α σ α σ σ 2 2 cos cos sin 2 sin yy xy xx yy +- = ′ yx xy xx yy xy σ α σ α σ σ σ ′ = +- = ′ 2 cos 2 sin 2 2 2 min max/ 1 2 2 ) xy yy xx yy xx xx σ σ σ σ σ σ σ + - ± + = ′ ≡ 2 2 min max/ 2 2 2 ) xy yy xx yy xx yy σ σ σ σ σ σ σ + - ± + = ′ ≡ 2 2 ) 2 1 2 2 min max/ σ σ σ σ σ σ τ- ± = + - ± = ′ ≡ xy yy xx xy m ( 29 - =- yy xx xy p σ σ σ α 2 tan 2 1 1 = + ∂ ∂ + ∂ ∂ + ∂ ∂ x zx yx xx g z y x ρ σ σ σ = + ∂ ∂ + ∂ ∂ + ∂ ∂ y zy yy xy g z y x ρ σ σ σ = + ∂ ∂ + ∂ ∂ + ∂ ∂ z zz yz xz g z y x ρ σ σ σ 1 = +- + ∂ ∂ + ∂ ∂ + ∂ ∂ r rr zr r rr g r z r r ρ σ σ σ θ σ σ θθ θ 2 1 = + + ∂ ∂ + ∂ ∂ + ∂ ∂ θ θ θ θθ...
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This note was uploaded on 11/03/2009 for the course BMEN 206 taught by Professor Moreno during the Spring '07 term at Texas A&M.

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Equations for Biosolid Mechanics Final Exam - Equations for...

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