Computational Assignment 2_2011

Computational Assignment 2_2011 - Computational Assignment...

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Unformatted text preview: Computational Assignment # 2 MME 412: Advanced Mechanics of Materials Spring-2011 DUE DATE: 03/03/2011 (50 Points) A hollow steel shaft is subjected to combined torque and internal pressure of unknown magnitudes. In order to assess the strength of the shaft under service conditions a strain gauge rosette as shown in the figure below are mounted on the outside surface of the shaft such that the center gauge is being aligned with the shaft axis. The material properties of the shaft are: E 207 GPa and 1 / 3 Develop a MATLAB code which can input the measured strain: a , b and c for a given configuration ab and bc with respect to x-y as shown in the figure below and estimate the state of strain. This code should also perform stress-strain calculations and computation of principle stresses, maximum shear stresses and the planes of maximum shear stresses. Using your computational code to solve the following problems: y y c x a 30 o x o b 30 z If the reading of the strain gauges are: a 400 106 , b 300 106 and c 50 106 . Estimate the following: a) Strain components x , y , xy b) In-plane (x-y) maximum shear strain and true maximum shear strain c) Principal stress, direction of principal stresses, maximum shear stress and the plane of maximum shear for two case: (i) when we assume plane stress field and (ii) when we assume the plane strain conditions. Briefly summarize the differences and discuss the source of differences originating from this analysis. -1- ...
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