MT-1620 al.2002 Stress and strain From the strain-displacement relation get du d dx dx d x (these become total derivatives as there is no variation of the displacement in y and z) for functional ease write da dx d21 Caution: Rivello uses C1, C2, C3. These are not constants so use f, =f(x)( functions of x) Paul A Lagace @2001 Unit 14-8Unit 14 - 8 Paul A. Lagace © 2001 MIT - 16.20 Fall, 2002 Stress and Strain From the strain-displacement relation, get: ε ∂ ∂ xx u x d u dx y d v dx z d w dx == + −  + −  0 2 2 2 2 (these become total derivatives as there is no variation of the displacement in y and z) for functional ease, write: f d ud x 1 0 = f d v d x 2 2 2 = − f d w d x 3 2 2 = − Caution: Rivello uses C1, C2, C3. These are not constants, so use fi ⇒ fi(x) (functions of x)