HW13 - HOMEWORK PROBLEMS Week 13: Due Monday 13 December 1....

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Unformatted text preview: HOMEWORK PROBLEMS Week 13: Due Monday 13 December 1. A 45 o strain-gauge rosette is mounted on a plate in the orientation shown in Figure 1. The readings obtained are a = 750 10- 6 ; b = ( 300- 450 3 ) 10- 6 ; c =- 150 10- 6 . (i) Show that xy = 0 and determine the values of x and y . (ii) Find the force components on the face ABCD of the plate if E = 10 10 6 psi, = 1 / 3. (a) (b) (c) x y 45 o 45 o o 30 0.1 4 7 A B C D all dimensions in inches. Figure 1 1 2. The strain gauge rosette of Figure 2 records the values a =- 200 10- 6 ; b = 250 10- 6 ; c = 400 10- 6 . (i) Determine the strain components x , y , xy in the xy-coordinate system. (ii) Find the orientation of the line that experiences the greatest normal strain. (iii) Find the maximum in-plane shear stress, if the material has a shear modulus G = 57 GPa. . (a) (b) (c) x y o 60 Figure 2 3. Figure 3 shows a cross section through a cylindrical pressure vessel with closed ends. The vessel is made of a material with Youngs modulus E and Poissons ratio...
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HW13 - HOMEWORK PROBLEMS Week 13: Due Monday 13 December 1....

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