Unformatted text preview: [ σ X ij ] = T 2 1 2 2 1 2 where T is a constant in some appropriate set of units. Calculate T such that there will be a tractionfree plane through the point, and determine the orientation (i.e., the normal vector) of this plane. Problem 5 A solid slab occupies the regiona < x 1 < a,a < x 2 < a,h < x 3 < h, and has the stress distribution σ 11 =p ( x 2 1x 2 2 ) a 2 , σ 22 = p ( x 2 1x 2 2 ) a 2 , σ 12 = 2 px 1 x 2 a 2 , σ 13 = σ 23 = σ 33 = 0 . a. Examine whether there are any body forces within the slab. b. Calculate the resultant tractions acting on the faces x 1 = ± a, x 2 = ± a . 1...
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 Fall '04
 Klug
 Force, stress tensor, following vector identities, normal vector, ijk pqk, surface traction vector

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