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Unformatted text preview: HOMEWORK PROBLEMS Week 13: Due Monday 13 December 1. A 45 o straingauge rosette is mounted on a plate in the orientation shown in Figure 1. The readings obtained are ε a = 750 × 10 6 ; ε b = ( 300 450 √ 3 ) × 10 6 ; ε c = 150 × 10 6 . (i) Show that γ xy = 0 and determine the values of ε x and ε y . (ii) Find the force components on the face ABCD of the plate if E = 10 × 10 6 psi, ν = 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 ε a = 200 × 10 6 ; ε b = 250 × 10 6 ; ε c = 400 × 10 6 . (i) Determine the strain components ε x , ε y , γ xy in the xycoordinate system. (ii) Find the orientation of the line that experiences the greatest normal strain. (iii) Find the maximum inplane 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 Young’s modulus E and Poisson’s ratio...
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This note was uploaded on 10/05/2011 for the course MECHENG 211 taught by Professor ? during the Fall '07 term at University of Michigan.
 Fall '07
 ?
 Strain

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