ME383-Exam3-EquationSheet

# ME383-Exam3-EquationSheet - = Mc I = Tr J = P A direct...

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σ = Mc I τ = Tr J = P A direct shear: = P A = 1 2 ( ) 2 + 1 3 ( ) 2 + 2 3 ( ) 2 2 = x 2 + 3 xy 2 ( ) rectangular section: A = bh , I = bh 3 12 , = 3 V 2 A round section: A = π d 2 4 , I = d 4 64 , J = d 4 32 , = 32 M d 3 , = 16 T d 3 , = 4 V 3 A Mohr’s circle: center : c = x + y 2 R = x y 2 2 + xy 2 S e = k a k b k c k d k e k f S e S e = 0.504 S u for steels stress concentration: K f = 1 + q K t 1 ( ) normal stresses: n = S e a normal stresses: Goodman: 1 n = a S e + m S u finite life: S= aN b or N = S a where a = (0.9 S u ) 2 S e and b = 1 3 log 0.9 S u S e shear stresses: Goodman: 1 n = a S se + m S su where S su = 0.67S u surface finish factor: k a = aS ut b Factor a Surface Finish S ut , kpsi S ut , MPa Exponent b Ground 1.34 1.58 -0.085 Machined or cold drawn 2.70 4.51 -0.265

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ME383-Exam3-EquationSheet - = Mc I = Tr J = P A direct...

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