Mechanics Of Materials - Formulas And Problems:... < Free Access >

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:

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: 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. τ=VQIttau equals the fraction with numerator cap V

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 calculate the total elongation.