Formula - Formula Sheet avg = N A Lf Lo =-Lo =-Lo avg = V A...

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Formula Sheet σ avg N A = τ V A = σ ij F j A i ---------    A i 0 lim = ε L f L o L o ----------------- = ε δ L o ----- = ε u B u A x B x A ------------------ = γπ 2 ⁄α = ε xx x d d u x () = ε σ νσ yy σ zz + [] E = γ xy τ G = G E 21 ν + -------------------- = σ ε νε + E 1 ν 2 = ε ν 1 ν ----------- ε ε + = x d d u N EA ------- = u 2 u 1 N x 2 x 1 -------------------------- = δ N L -------- = σ N A ---- = x d d φ T GJ ------ = φ 2 φ 1 T x 2 x 1 = τ x θ T ρ J = M z EI x 2 2 d d v = σ M z y I ---------- = τ xs V y Q z I t -------------- = σ M y z I = τ V z Q y I t = V y V = x d d V p = x d d M z V = V 2 V 1 px d x 1 x 2 + = M 2 M 1 V x d x 1 x 2 + = σ nn σ θ 2 cos σ θ 2 sin 2 τ θθ cos sin ++ = τ nt σ sin cos σ cos sin τ θ 2 cos θ 2 sin = 2 θ p tan 2 τ σ σ --------------------------- = σ 12 , σ σ + 2 ---------------------------- σ σ 2 ----------------------- 2 τ 2 + ± = τ max σ 1 σ 2 2 σ 2 σ 3 2 σ 3 σ 1 2 ,, = ε ε θ 2 cos ε θ 2 sin γ θ sin θ cos = γ 2 ε θ sin θ cos 2 ε θ sin θ cos γ θ 2 cos θ 2 sin = 2 θ p tan γ ε ε ------------------------- = ε , ε ε + 2 ε ε 2 --------------------- 2 γ 2 2 + ± = γ 2 ε 1 ε 2 2 --------------- ε 2 ε 3 2 ε 3 ε 1 2 = P Cr π 2 L 2 = η C 4r 3 π = I 1 12 ab 3 = I 1 4 π r 4 = J 1
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This note was uploaded on 04/20/2009 for the course ENGINEERIN mechanical taught by Professor None during the Spring '07 term at Oxford University.

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