τ=VQIttau equals the fraction with numerator cap V cap Q and denominator cap I t end-fraction (Where is the first moment of area and is the thickness at the point of interest). Practice Problem: Axial Loading A steel rod ( ) is 2 meters long and has a cross-sectional area of . If it is subjected to a tensile load of , calculate the total elongation. Solution: Identify Givens: Apply Formula: Calculate:
σ=PAsigma equals the fraction with numerator cap P and denominator cap A end-fraction The deformation per unit length.
τ=TcJtau equals the fraction with numerator cap T c and denominator cap J end-fraction Measured in radians. Mechanics of Materials - Formulas and Problems:...
ϵ=δLepsilon equals the fraction with numerator delta and denominator cap L end-fraction For materials in the elastic region.
The most basic concepts involve forces applied along the longitudinal axis of a member. The internal force per unit area. τ=VQIttau equals the fraction with numerator cap V
σ=Eϵwhere E is Young′s Modulussigma equals cap E epsilon space where cap E is Young prime s Modulus
δ=PLAEdelta equals the fraction with numerator cap P cap L and denominator cap A cap E end-fraction 2. Torsion (Circular Shafts) The most basic concepts involve forces applied along
Torsion refers to the twisting of a structural member when loaded by couples (torques). Maximum at the outer surface (