AE 321 – Homework #5
Due: Not Graded. Do NOT hand in.
Chapters 1, 2, 3: Practice for Exam
1. (Old exam question)
A thin plate shaped as shown is loaded by an external traction P as
illustrated in the diagram below. Assume that the plate is thin enough for
±
3i
= 0 to be valid.
(a) What are the boundary conditions (i.e., stress in terms of applied traction) on the four
sides of this plate?
(b) Assume that the stress state satisfying all boundary conditions is also the internal stress
state of the object. Show that this stress state satisfies equilibrium (assuming no body forces).
(c) Find the maximum shear stress in the plate. In which plane(s) does this maximum shear
stress act (draw a sketch)?
±
A
B
C
D
P
x
2
x
1
P
P
P
E

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