HW2 - AE 321 Homework #2 Due: Wednesday September 17, 2008...

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AE 321 – Homework #2 Due: Wednesday September 17, 2008 Chapter 2: Traction and Stress 1. Find the components of the traction on planes defined by n 1 = 12 , n 2 = n 3 = 0 and n 1 = n 2 = ± n 3 = 0 for the following states of stress: (a) ± 11 = ±± = 21 = 0 13 = 31 = 0 22 = 23 = 32 = 0 33 = (b) = = = = = 0 = = = 0 = 0 2. The state of stress at a point P in a material is given by: ij [] = 20 2 1 2 ² 15 2 3 ³ ´ µ µ · ¸ ¸ 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
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HW2 - AE 321 Homework #2 Due: Wednesday September 17, 2008...

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