formula_for_civl112

formula_for_civl112 - Normal Stress and Strain The...

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Unformatted text preview: Normal Stress and Strain The expression for normal stresses: A P = σ where P = Applied load (tension or compression) A = Cross section area The expression for normal strain: L δ ε = • Tensile strain → “+” • Compressive strain → “- ” • Strain is dimensionless (no units). Sometime the strain is expressed as percent (%) The expression for Poisson’s ratio ( ν ): ε ε ν ′- =- = strain axial strain lateral Shear Stress and Strain The expression for average bearing stress: b b b A F = σ where F b = Total bearing force, A b = Bearing area The expression for average shear stress: A V a ver = τ where V = Total shear force A = Cross section on which the shear force acts The expression for Hooke’s law in shear: γ τ γ τ = ⇒ = G G where τ = Shear stress, γ = Shear strain G = Shear modulus of elasticity or modulus of rigidity. Axial Loaded Members spring is linearly elastic , then the expressions for: Load ⇒ δ k P = Elongation ⇒ P f = δ Where k = Stiffness of a spring or spring constant...
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formula_for_civl112 - Normal Stress and Strain The...

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