MIT2_092F09_hw6 - elements, and comment briefly on your...

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2.092/2.093± F INITE E LEMENT A NALYSIS OF S OLIDS AND F LUIDS F ALL 2009± Homework 6 Instructor: Prof. K. J. Bathe Assigned: Session 14 TA: Seounghyun Ham Due: Session 16 In all analyses, use ADINA. Problem 1 (20 points): The figure below shows a cantilever beam subjected to distributed pressure. Use ADINA to analyze the problem and undertake a convergence study using 9-node elements. Compare the stress fields obtained with meshes of 1×4, 2×8, 4×8, and 4×16 elements. Also evaluate your results comparing with a beam theory result. m m 40 m m 10 · Plane strain, thickness 1.0 · Linear analysis · 11 2 N E=1×10 m , ν =0.3 8 2 0 N p =1×10 m y z Problem 2 (20 points): Consider the same cantilever beam but this time subjected to the prescribed surface temperature shown below. Compare the temperature distributions obtained with meshes of 1×4, 2×8, 4×8, and 4×16 4-node
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Unformatted text preview: elements, and comment briefly on your results. m m 10 C = p =20 C y z 2-D linear analysis k=71.8 W mK 40mm 1 Problem 3 (20 points): Consider the problem shown below of a fluid flowing around a cantilever beam. Assume that the cantilever beam is a rigid body. Study the velocity and pressure distributions in the fluid domain by increasing the number of elements, and choose appropriate meshes. Comment briefly on your results. Use 4-node elements. mm 80 mm 10 mm 40 inlet m V =0.0025 s mm 35 No slip walls Out-flow boundary y z 2-D planar analysis kg -3 =1000 3 =110 Pas m Slip wall 120mm 2 MIT OpenCourseWare http://ocw.mit.edu 2.092 / 2.093 Finite Element Analysis of Solids and Fluids I Fall 2009 For information about citing these materials or our Terms of Use, visit: http://ocw.mit.edu/terms ....
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This note was uploaded on 02/24/2012 for the course MECHANICAL 2.092 taught by Professor Klaus-jürgenbathe during the Fall '09 term at MIT.

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MIT2_092F09_hw6 - elements, and comment briefly on your...

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