# HW4 - end of such magnitude that the bean weight may be...

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MAE 3250 Analysis of Mechanical and Aerospace Structures Fall 2009 HW# 4, Due: 11:10 am, Monday, Oct. 5 th 1. Consider a bar with a small thickness in the figure. The body force density in the bar is γ , the length of the bar is L. In addition to the body force, the bar is subjected to a point load, , at the end of the bar ( ). Model the bar with THREE finite elements and use the shape functions introduced in the class to calculate the displacement at the end of the bar, i.e. . Compare the FEM results with the analytical solution (assume 1D case). Assume the Young’s modulus is F L x = L x = E , and the cross section area of the bar is A . 2. A narrow cantilever of rectangular cross section is loaded by a concentrated force at its free

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Unformatted text preview: end of such magnitude that the bean weight may be neglected. Determine the stress distribution in the beam. The beam thickness t , is small relative to the beam depth . h 2 P L x F L x i i b b x = = y 3. A rectangular beam of small thickness t, depth 2h, and length 2L is subjected to an arbitrary variation of temperature throughout its depth, ) ( y T T = . Determine the distribution of stress and strain for the case in which (a) the beam is entirely free of surface force (Figure A), and (b) the beam is held by rigid walls that prevent the x-directed displacement only (Figure A). L L L L h h h h A. B....
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## This note was uploaded on 10/02/2010 for the course MAE 3250 taught by Professor Gao during the Fall '10 term at Cornell University (Engineering School).

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HW4 - end of such magnitude that the bean weight may be...

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