# Homework_3 - AE 321 Homework 3 Due in class on September 20...

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1 AE 321 Homework 3 Due in class on September 20 1. Find the components of the traction on planes whose normal vector have components n 1 = 12 , n 2 = n 3 = 0 , and n 1 = n 2 =− n 3 = 0 for the following states of stress: (a) σ 11 = 12 = 21 = 0 13 = 31 = 0 22 = σσ 23 = 32 = 0 33 = (b) 11 = 12 = 21 = 13 = 31 = 0 22 = 23 = 32 = 0 33 = 0 2. The state of stress at a point P in a material is given by: 20 2 1 21 5 2 3 ij kPa    (a) Compute the components of traction on the plane passing through P whose outward normal vector ± n makes equal angles with the coordinate axes. (b) Compute the normal and tangential components of traction on this plane. 3. The state of stress at a point is given by ij . A plane is defined by the direction cosines of the normal (1/2, 1/2, 1/ 2). Under what conditions will the traction vector on this plane be parallel to the x 2 axis and have a unit magnitude?

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Homework_3 - AE 321 Homework 3 Due in class on September 20...

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