MIT2_094S11_hw_1

# MIT2_094S11_hw_1 - the elements to 4-node elements and...

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Page 1 of 2 2.094 F INITE E LEMENT A NALYSIS OF S OLIDS AND F LUIDS S PRING 2008 Homework 1 Instructor: Prof. K. J. Bathe Assigned: 02/07/2008 Due: 02/14/2008 Problem 1 (10 points): Consider the sheet of material shown. Here ? ? ? = 𝒙 ? ? ? + ? ? ? ? ? = 𝒙 ? ? + ? Also, the stresses are 𝝉 ? ?? = ? 𝝉 ? ?? = ?? 𝒑?𝒊 𝝉 ? ?? = ? Identify three simple independent virtual displacement patterns and show that the principle of virtual work is satisfied for these patterns. 2" 2" x 1 x 2 t f x2 = 20 psi (tension) configuration at time t configuration at time 0

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Page 2 of 2 Problem 2 (20 points): Solve Problem 2 of the AUI Primer in ADINA (You can find the AUI Primer under the Help menu). Then change
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Unformatted text preview: the elements to 4-node elements and compare the results. Note: To change the elements, just delete the previous mesh and remake the mesh using 4-node elements by setting “ Nodes per element ” to 4 (default value is 9 as used in the example). Compare the calculated stresses with the two meshes along the two symmetry lines and discuss your results with a few sentences. MIT OpenCourseWare http://ocw.mit.edu 2.094 Finite Element Analysis of Solids and Fluids II Spring 2011 For information about citing these materials or our Terms of Use, visit: http://ocw.mit.edu/terms ....
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