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1- Consider a 50 mm × 50 mm × 50 mm element of graphite-reinforced material with its fibers oriented at 45◦ and constrained against deformation in the x direction. The element is heated 50◦C. What is the stress σx

1- Consider a 50 mm × 50 mm × 50 mm element of graphite-reinforced material with its fibers oriented at 45◦ and constrained against deformation in the x direction. The element is heated 50◦C. What is the stress σx

Mechanics of Materials (MindTap Course List)
Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter2: Axially Loaded Members
Section: Chapter Questions
Problem 2.7.5P: Determine the strain energy per unit volume (units of psi) and the strain energy per unit weight...
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1- Consider a 50 mm × 50 mm × 50 mm element of graphite-reinforced material with its fibers
oriented at 45◦ and constrained against deformation in the x direction. The element is
heated 50◦C. What is the stress σx required to enforce this constraint and what are the strains
εy, γxy, and εz?
2- Consider a 45° off-axis tensile test coupon. Three strain gages attached as shown below
are reading ε1 = 0.00647, ε2 = −0.00324, and ε3 = 0.008095 at stress level of σx =100 MPa.
Determine the off-axis modulus of elasticity Ex the off-axis major Poisson’s ratio ??? and
coefficient of mutual influence of the second kind ???,?. 

1- Consider a 50 mm × 50 mm × 50 mm element of graphite-reinforced material with its fibers oriented at 45° and constrained against deformation in the x direction. The element is heated 50°C. What is the stress ox required to enforce this constraint and what are the strains Ey, yxy, and ez? 2- Consider a 45° off-axis tensile test coupon. Three strain gages attached as shown below are reading &1 = 0.00647, &2 = -0.00324, and 3 = 0.008095 at stress level of ox=100 MPa. Determine the off-axis modulus of elasticity Ex the off-axis major Poisson's ratio Vxy and coefficient of mutual influence of the second kind nxy,x. E3 √√²-7-7- 2 2 y 45° X E2 E1 ox
Transcribed Image Text:1- Consider a 50 mm × 50 mm × 50 mm element of graphite-reinforced material with its fibers oriented at 45° and constrained against deformation in the x direction. The element is heated 50°C. What is the stress ox required to enforce this constraint and what are the strains Ey, yxy, and ez? 2- Consider a 45° off-axis tensile test coupon. Three strain gages attached as shown below are reading &1 = 0.00647, &2 = -0.00324, and 3 = 0.008095 at stress level of ox=100 MPa. Determine the off-axis modulus of elasticity Ex the off-axis major Poisson's ratio Vxy and coefficient of mutual influence of the second kind nxy,x. E3 √√²-7-7- 2 2 y 45° X E2 E1 ox
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