Mechanics Of Materials — - Formulas And Problems:...

Torsion refers to the twisting of a structural member when loaded by couples (torques). Maximum at the outer surface (

δ=(80,000)(2)(400×10-6)(200×109)delta equals the fraction with numerator open paren 80 comma 000 close paren open paren 2 close paren and denominator open paren 400 cross 10 to the negative 6 power close paren open paren 200 cross 10 to the nineth power close paren end-fraction Mechanics of Materials - Formulas and Problems:...

σ=PAsigma equals the fraction with numerator cap P and denominator cap A end-fraction The deformation per unit length. Torsion refers to the twisting of a structural

σ=−MyIsigma equals negative the fraction with numerator cap M y and denominator cap I end-fraction (Where is the distance from the neutral axis and is the moment of inertia). Occurs at the furthest fiber ( Occurs at the furthest fiber ( τ=TcJtau equals

τ=TcJtau equals the fraction with numerator cap T c and denominator cap J end-fraction Measured in radians.

Bending moments cause internal stresses that vary linearly from the neutral axis.

δ=160,00080,000,000=0.002 m or 2 mmdelta equals the fraction with numerator 160 comma 000 and denominator 80 comma 000 comma 000 end-fraction equals 0.002 m or 2 mm Practice Problem: Bending Stress A rectangular beam ( ) experiences a maximum bending moment of . Determine the maximum bending stress. Solution: Find : Find : Apply Formula: Result: