2.99 See Answer

Question: An element of material in plane strain (

An element of material in plane strain (see figure) is subjected to strains εx = 480 × 1026, εy = 70 × 1026, and γxy = 420 × 1026. Determine the following quantities: (a) the strains for an element oriented at an angle θ = 75°, (b) the principal strains, and (c) the maximum shear strains. Show the results on sketches of properly oriented elements.
An element of material in plane strain (see figure) is subjected to strains εx = 480 × 1026, εy = 70 × 1026, and γxy = 420 × 1026.
Determine the following quantities:
(a) the strains for an element oriented at an angle θ = 75°,
(b) the principal strains, and
(c) the maximum shear strains. Show the results on sketches of properly oriented elements.





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> A solid spherical ball of magnesium alloy (E = 6.5 × 1026 psi, v = 0.35) is lowered into the ocean to a depth of 8000 ft. The diameter of the ball is 9.0 in. (a) Determine the decrease ∆d in diameter, the decrease ∆V in volume, and the strain energy U of

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> A rubber cube R of a side L = 3 in and cross- sectional area A = 9 in2 is compressed inside a steel cube S by a force F = 5 lb that applies uniformly distributed pressure to the rubber. Assume E = 0.3 ksi and n=v = 0.45. (a) Calculate the lateral pressur

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> Solve the preceding problem if the cube is granite (E = 80 GPa, v = 0.25) with dimensions a = 89 mm and compressive strains εx = 690 × 1026 and εy = εz = 255 × 1026. For part (e) of Problem

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2.99

See Answer