A cube of side 40 mm, subjected to 3 mutually perpendicular tensile forces of 9 kN, 5 kN, 5 kN acting along X, Y, Z directions respectively. Find the stresses in each directions and the strain along x direction of the cube. Take Young's Modulus of the material as 210 GPa, Poisson's ratio as 0.3. (ENTER ONLY THE VALUES IN THE BOXES BY REFERRING THE UNITS GIVEN IN BRACKET) (i) Stress along X direction (Unit in N/mm2) = 5.625 One possible correct answer is: 5.625 (ii) Stress along Y direction (Unit in N/mm2) 3D 3.125 One possible correct answer is: 3.125 (iii) Stress along Z direction (Unit in N/mm2) = 3.125 One possible correct answer is: 3.125 (iv) Strain along X direction = 1.785*10^-11

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter7: Analysis Of Stress And Strain
Section: Chapter Questions
Problem 7.7.15P: A brass plate with a modulus of elastici ty E = 16 X 106 psi and Poisson’s ratio a = 0.34 is loaded...
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A cube of side 40 mm, subjected to 3 mutually
perpendicular tensile forces of 9 kN, 5 kN, 5 kN
acting along X, Y, Z directions respectively. Find
the stresses in each directions and the strain along
x direction of the cube. Take Young's Modulus of
the material as 210 GPa, Poisson's ratio as 0.3.
(ENTER ONLY THE VALUES IN THE BOXES BY
REFERRING THE UNITS GIVEN IN BRACKET)
(i) Stress along X direction (Unit in N/mm2) =
5.625
One possible correct answer is: 5.625
(ii) Stress along Y direction (Unit in N/mm2) =
3.125
One possible correct answer is: 3.125
(iii) Stress along Z direction (Unit in N/mm2) =
3.125
One possible correct answer is: 3.125
(iv) Strain along X direction =
1.785*10^-11
Transcribed Image Text:A cube of side 40 mm, subjected to 3 mutually perpendicular tensile forces of 9 kN, 5 kN, 5 kN acting along X, Y, Z directions respectively. Find the stresses in each directions and the strain along x direction of the cube. Take Young's Modulus of the material as 210 GPa, Poisson's ratio as 0.3. (ENTER ONLY THE VALUES IN THE BOXES BY REFERRING THE UNITS GIVEN IN BRACKET) (i) Stress along X direction (Unit in N/mm2) = 5.625 One possible correct answer is: 5.625 (ii) Stress along Y direction (Unit in N/mm2) = 3.125 One possible correct answer is: 3.125 (iii) Stress along Z direction (Unit in N/mm2) = 3.125 One possible correct answer is: 3.125 (iv) Strain along X direction = 1.785*10^-11
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