Midterm 2_Equations

Midterm 2_Equations - τ xy sin(2 θ τ x y =-σ x-σ y 2...

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MEC85 / CEC30 Midterm II Equation Sheet Chapter 8: Concept of Stress Hooke’s Law for Elastic Materials: σ = Chapter 11: Pure Bending σ = My I σ x = P A - M z y I z + M y z I y Chapter 12: Analysis and Design of Beams for Bending - w = dV dx V = dM dx Chapter 13: Shearing Stresses in Beams q = Δ H Δ x = V Q I τ = V Q It Q = A ¯ y Chapter 14: Transformation of Stress σ x 0 = σ x + σ y 2 + σ x - σ y 2 cos(2 θ ) +
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Unformatted text preview: τ xy sin(2 θ ) τ x y =-σ x-σ y 2 sin(2 θ ) + τ xy cos(2 θ ) σ y = σ x + σ y 2-σ x-σ y 2 cos(2 θ )-τ xy sin(2 θ ) Moments of Inertia Parallel Axis Theorem: I = I centroid + A ¯ y 2 I x = 1 12 bh 3 I y = 1 12 hb 3 I x = I y = 1 64 πd 4 = 1 4 πr 4 1...
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