homework problem set # 8

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CE 371.02 – Structural Analysis I
Homework #8
due 31 October 2008, Friday, 11:30am
A. Reading assignment:
1. Read Chapter 10 Sections 1 through 5.
Aside: You are not responsible from Section 10-3. It talks about “virtual work” method –a very
neat method to find deflections in structures. If you want to learn it “formally” you need to take
CE474. However, you are welcome to study it (Chapter 9) on your own now.
2. Start reading Chapter 11.
B. Problem assignments:
29. Using the conjugate-beam method, determine the slope and deflection at C. E and I are
constant over the length of the member.
30. Using the conjugate-beam method, determine the slope at A and B, and deflection at C. E and I
are constant over the length of the member.
31. Using the moment-area theorems, determine the slope just to the left and just to the right of the
hinge at B. Also determine the deflection at D. Assume the beam is fixed at A and that C is a
roller. E and I are constant over the length of the structure.
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32. Use the conjugate-beam method and determine the value of a so that the slope at A is equal to
zero. EI is constant.
33. Determine the slope at B and the displacement at C. IAB = IDE = 400 in4, IBD = 800 in4,
E = 29,000 ksi. Use the conjugate-beam method.
34. Determine the slope at the end C of the beam. E = 200 GPa, I = 70,000,000 mm4.
Assume B is a roller and A is a pin. Use the conjugate-beam method.
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