L3_stress

L3_stress - CE 231 Engineering Materials I Fall 2004 Jan...

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Olek, CE 231,Fal 2004 Today’s lecture • Calculation of stresses • Average normal stress • Average shear stress • Allowable stress • Simple connections • Allowable stress/Factor of safety • General state of stress •P l a n e S t r e s s • Stresses on an oblique plane • Introduction to stress transformation Olek, CE 231,Fal 2004 Single and Double Shear V = F F F V = F/2 V = F/2 τ avg = F/A τ avg = F / 2A Single Shear Double Shear A is the cross sectional area of the bolt Curtsey of N. Neithalath Olek, CE 231,Fal 2004 Pure Shear z x y τ zy τ zy τ yz τ yz z y Σ F y = 0, for equilibrium τ τ τ τ τ zy ( x y) – τ zy ( x y) = 0 so, τ zy = τ zy Σ M z = 0, for equilibrium τ zy ( x y) z – τ yz ( x z) y= 0 so, τ zy = τ yz x Curtsey of N. Neithalath
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Olek, CE 231,Fal 2004 Shear Stress - Analysis • Section the member at the point where the average shear stress is to be determined • Draw the free body diagram, ad calculate the internal shear force V acting on the section to keep it in equilibrium • Determine the sectioned area and compute the average shear stress • Shear stress acts in the same direction as shear force V Curtsey of N. Neithalath Olek, CE 231,Fal 2004 Allowable Stresses
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L3_stress - CE 231 Engineering Materials I Fall 2004 Jan...

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