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asst1A08Solution

# asst1A08Solution - CEE 379 Assignment 1 Autumn 2008 Due...

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CEE 379 Assignment 1 Autumn 2008 Due October 1, 2008 The first two problems in this assignment are intended to give you an opportunity to brush up on some of your statics and mechanics of materials basics. We will be building on these basics later in the quarter. The third problem is based on the material we are discussing this first week, with the addition of at least a small amount of quasi-realistic engineering context. 1. Determine the axial force in each member of the truss shown. 15.0 ft 15.0 ft 10.0 ft 10.0 ft 18.0 k 18.0 k 18.0 k 153.0 k 153.0 k 54.0 k 18.0 k 18.0 k 18.0 k 54.0 k 36.0 k 54.0 k 36.0 k 81.0 k 54.0 k 81.0 k 54.0 k 18.0 k 18.0 k 18.0 k 18.0 k 18.0 k 18.0 k 72.0 k 72.0 k 18.0 k 18.0 k 72.0 k 72.0 k 153.0 k 153.0 k 18.0 k 18.0 k 36.0 k 36.0 k 2. Construct moment and shear diagrams for the beam shown. 10.0 ft 14.0 ft 0.50 k/ft 25 k' 1.8 k 5.0 k 1

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CEE 379 2 3. Consider the two models of the simple structure shown below: 12.0 ft 8.0 ft 20.0 ft E a ,A a E b ,A b E c ,A c k c k a k b u 2 u 3 1 2 3 Model 1 Model 2 The first model is relatively complex, but the second model can be treated by hand relatively easily. Your job is to generate a solution for the second model, which will be used subsequently to check some computer-generated results for the first model. (a) Determine expressions for the spring stiffnesses, k a , k b , and k c , in terms of the physical parameters indicated for Model 1. k a = A a E a L a = 20in 2 × 29000ksi 144in = 4027 . 8k / in k b = A b E b L b = 10in 2 × 29000ksi 96in = 3020 . 8k / in k c = A c E c L c = 20in 2 × 10000ksi 240in = 416 . 67k / in
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asst1A08Solution - CEE 379 Assignment 1 Autumn 2008 Due...

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