HW2 - 5. A bar ABCD is held between two rigid walls at...

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EM 319 Mechanics of Solids Fall 2010 Homework #2 Due: 9/9/2010 1. Find the change of length of the entire structure, given that: E AB = 2 E , E BC = E , E CD = 3 E , A AB = A , A BD = 2 A . 2. The structure ABC is subjected to the loads shown in the figure. The member has constant thickness t (out-of plane direction) and Young’s modulus of the material is E . Find the change of length of the structure. 3. A bar is subjected to linearly distributed load which has intensity 0 q at the support O and zero at the free end B . The bar has constant Young’s modulus E and cross sectional area A . (a) Calculate the elongation of the entire bar. (b) Calculate the displacement of point C (see figure below). P 3 P 2 P 2 a a A B C b 2 b a 2 P L P A B D 1/2 L 3 P C O B C L 3 2 L 3 1 1/2 L L
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4. The diameter of a circular truncated cone varies from d to 2 d as shown in the figure. Determine the elongation of the entire structure due to its own weight in terms of E , L , d and , where E and are the modulus of elasticity and the weight density of the material, respectively.
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Unformatted text preview: 5. A bar ABCD is held between two rigid walls at point A and D and is loaded as shown in the figure. The axial rigidity of the bar is EA . Find: (a) The reactions on both walls. (b) The position and value of the maximum stress in the bar. (c) The displacement of point C and its direction. 6. A bar ABC is held between two rigid walls at point A and C and is subjected uniform distributed force f over region AB . The axial rigidity of the bar is given as EA . Find: (d) The reaction forces at walls. (e) The maximum stress and position of the bar. (f) The maximum displacement and position of the bar. d 2 d L A B D C 2 a 2 P P 2 a a A B C L f L 7. A rigid triangular frame is pinned at C and held by two identical horizontal wires at points A and B (see figure). Each wire has axial rigidity EA and length L . If a load P is applied at pint D . Find internal forces in both wires....
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This note was uploaded on 09/10/2010 for the course EM 13785 taught by Professor Hallali during the Fall '10 term at University of Texas at Austin.

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HW2 - 5. A bar ABCD is held between two rigid walls at...

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