Exam%201%20Solutions%20%28Fall%202010%29

Exam%201%20Solutions%20%28Fall%202010%29 - Exercise 2 (60...

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EM 319 Mechanics of Solids Fall 2010 Exam #1 September 23 rd 2010, 8:00-9:15 am Closed books, notes and homeworks Name: EID: TA Session: Andrew Barnes T 5-7 pm 13785 Adam Sierakowski W 5-7 pm 13790 Stavros Gaitanaros T 6-8 pm 13795 Formulas: A P , L , E , , T T , EA PL , dx x EA x N ) ( ) (
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Exercise 1 (40 points) The post is made of Douglas fir ( E = 13.1 GPa) and has a diameter of 60 mm. It is subjected to the load of 20 kN and the soil provides a frictional resistance that is distributed along its length and varies linearly from w = 0 at y = 0 to w = 3 kN/m at y = 2 m . Determine the force F at its bottom needed for equilibrium. Also, what is the displacement of the top of the post A with respect to its bottom B ? Neglect the weight of the post.
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Unformatted text preview: Exercise 2 (60 points) The structure below consists of a rigid beam hinged at A and supported at B by means of a flexible cable made of material X . A load P = 300 kN is applied as shown. Before the load is applied, a gap of 1 x 10-4 m exists between the rigid beam and the support at C , which is made of material Y . If E X = 250 x 10 9 N/m 2 , A X = 1 x 10-4 m 2 , E Y = 25 x 10 9 N/m 2 , and A Y = 60 x 10-4 m 2 , determine the axial stresses and deformations in materials X and Y . Bonus (10 points) Solve problem 2 if the temperature of the support at C increases 100 o C after the load P is applied, with Y = 10 x 10-6 / o C....
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Exam%201%20Solutions%20%28Fall%202010%29 - Exercise 2 (60...

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