# Homework_set1 - system as in Problem 2. P T A B x y z P A B...

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1-1 Fall 2011 ME423 Homework set1 (due 9/7, Wednesday) 1. Two prismatic bars of 50 mm x 75 mm rectangular cross section are adhesively bonded as shown. The allowable normal and shear stresses for the bonded joint are 700 and 650 kPa, respectively. Assume that the strength of the joint controls the design, what is the largest axial load P that may be applied. 2. A circular bar is subjected to a torque T and a concentrated load P at its free end as shown. What are the zero and non zero stress components at points A and B? Show the non zero stress components on a 3D cube for A and B, respectively. Problem 2 Problem 3 3. A beam with a rectangular cross section is subjected to a concentrated load P as shown. What are the zero and non zero stress components at points A and B? Show the non zero stress components on a 3D cube for A and B, respectively. Assume the same coordinate

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Unformatted text preview: system as in Problem 2. P T A B x y z P A B 1-2 4. A 100mm x 150 mm rectangular plate QABC is deformed into the shape shown by the dashed lines (Fig.2.6). Determine at point Q the strain components x , y , xy . 5 A thin rectangular plate a=40 mm by b=24 mm (Fig.2.8) is acted upon by a stress distribution resulting in the uniform strains x =300 , y =500 ,, xy =200 . Determine the change in length of diagonals QB and AC. 6. A 12-mm diameter specimen is subjected to compressive loading. The change in length resulting from a load of 9kN is 0.025mm for an original length of 75mm. What are the non zero strains and stress components? Calculate the modulus of elasticity. Assume that the Poissons ratio is 0.3....
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## This document was uploaded on 10/28/2011 for the course MECHANICAL 423 at Michigan State University.

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Homework_set1 - system as in Problem 2. P T A B x y z P A B...

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