Tutorial03 - MEC2025F Mechanics of Solids Tutorial 3 3...

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MEC2025F Mechanics of Solids Tutorial 3 3 March 2016 See the recommended reading list in course outline for the sources of the problems. 1 Mechanical Properties 1. The hollow tube is subjected to an axial force of 40 kN. If the tube elongates 3 mm and its circumference decreases 0 . 09 mm, determine the modulus of elasticity, Pois- son’s ratio, and the shear modulus of the tube’s material. The material behaves elas- tically. 2. An acetal polymer block is fixed to the rigid plates at its top and bottom surfaces. If the top plate displaces 2 mm horizontally when it is subjected to a horizontal force P = 2 kN, determine the shear modulus of the polymer. The width of the block is 100 mm. Assume that the polymer is linearly elastic and use small angle analysis. 3. The rigid bar rests in the horizontal posi- tion on two aluminum cylinders having the unloaded lengths shown. If each cylinder has a diameter of 30 mm. determine the placement x of the applied 80 kN load so that the beam remains horizontal. What
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