Equations1 - Solids Equations Fall 2009 Test1 Axial = P A =...

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Solids Equations, Fall 2009 Test1 KML 9/10/09 Axial: A P = σ L L δ = ε E A L P = δ L E A k = ε = σ E - ax lat ε ε = ν Average stress A V = τ A P = σ b b A P = σ Factor of safety stress ctual a stress failure n = Thermal: T L L th α = δ Constrained: T E th α = σ 0 L L R th = δ + δ T )d (1 d th α ν + = δ Torsion: p max I r T = τ ρ = τ p I T p I G L T = φ L r max φ = γ γ = τ G L GI k p T = Solid shaft: 2 r 32 d I 4 4 p π = π = 3 max d T 16 π = τ Annulus: ( 29 4 i 4 o p d d 32 I - π = Power: P = T ϖ ϖ = 2 π f 30 RPM π = ϖ 5252 RPM lbs) ft (T hp P = Turn over for stress concentration charts _____________________________________________________________________________
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Test1 Summary of Topics: Stresses in structures: axial, bearing, pin shear, hole stress, stress concentrations, etc. Axial loading: single member, multi-member, deflections, stress, strain, lateral contraction (using Poisson’s ratio), statically determinate or indeterminate
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