A 100 mm x 100 mm x 100 mm cube made with glass polymers in the y- direction is subjected to a tensile load of 100 kN along the y-direction. However, the cube is constrained against deformation in the x and z directions. Given the following properties: Ex = 20 GPa Ey = 50 GPa Ez = 20 GPa Vxy = 0.25 Vxz = 0.5 Vyz = 0.25 (a) Compute for the change in length of the cube in the y-direction and; (b) Determine the stresses, ơx, Oy, Oz.

A 100 mm x 100 mm x 100 mm cube made with glass polymers in the y- direction is subjected to a tensile load of 100 kN along the y-direction. However, the cube is constrained against deformation in the x and z directions. Given the following properties: Ex = 20 GPa Ey = 50 GPa Ez = 20 GPa Vxy = 0.25 Vxz = 0.5 Vyz = 0.25 (a) Compute for the change in length of the cube in the y-direction and; (b) Determine the stresses, ơx, Oy, Oz.

Materials Science And Engineering Properties

1st Edition

ISBN:9781111988609

Author:Charles Gilmore

Publisher:Charles Gilmore

Chapter6: Introduction To Mechanical Properties

Section: Chapter Questions

Problem 6.2P

See similar textbooks

Similar questions

Compare the engineering and true secant elastic moduli for the natural rubber in Example Problem 6.2 at an engineering strain of 6.0. Assume that the deformation is all elastic.
A steel 0.6 inch×1.2 inch steel 90 m long is subjected to a 45 KN tensile load along its lenght.If poison's ratio is 0.3 Find: A. The deformation along its lenght. B. The deformation along its thickness. C. The defirmation along uts width. D. The lateral strain.
X Your answer is incorrect. Two polymer bars are connected to a rigid plate at B, as shown. Bar (1) has a cross-sectional area of 1.42 in.? and an elastic modulus of 2180 ksi. Bar (2) has a cross-sectional area of 1.139 in.? and an elastic modulus of 4150 ksi. Assume L;-23 in., L2-41 in., Q-6.7 kips, P-3.7 kips, and R-14.1 kips. Determine the horizontal deflection of end Crelative to end A. R (1) (2) P L1 L2 Answer: UCIA - i 0.0725 in.
An extruded polymer beam is subjected to a bending moment M. The length of the beam is L = 500 mm. The cross-sectional dimensions of the beam are b, = 35 mm, d = 115 mm, b2 = 21 mm, d, = 21 mm, and a = 7 mm. For this material, the allowable tensile %3D %3D bending stress is 15 MPa, and the allowable compressive bending stress is 14 MPa. Determine the largest moment M that can be applied as shown to the beam. b2 立 a 不 d2 d1 A Answer: N.m M= i Submit Answer Attempts: 1 of 3 used
An aluminum alloy [E = 67 GPa; ν = 0.33; α = 23.0 × 10–6/°C] plate is subjected to a tensile load P. The plate has a depth of d = 225 mm, a cross-sectional area of A = 5100 mm2, and a length of L = 4.1 m. The initial longitudinal normal strain in the plate is zero. After load P is applied and the temperature of the plate has been increased by ΔT = 63°C, the longitudinal normal strain in the plate is found to be 2900 με. Determine: (a) the magnitude of load P. (b) the change in plate depth Δd.
An extruded polymer beam is subjected to a bending moment M. The length of the beam is L = 560 mm. The cross-sectional dimensions of the beam are b1 = 32 mm, d1 = 118 mm, b2 = 19 mm, d2 = 19 mm, and a = 6.5 mm. For this material, the allowable tensile bending stress is 14 MPa, and the allowable compressive bending stress is 13 MPa. Determine the largest moment M that can be applied as shown to the beam. b2 a M d2 | A В b1 Answer: M = i N-m
An extruded polymer beam is subjected to a bending moment M. The length of the beam is L = 540 mm. The cross-sectional dimensions of the beam are b1 = 38 mm, d1 = 90 mm, b2 = 23 mm, d2 = 23 mm, and a = 7.5 mm. For this material, the allowable tensile bending stress is 17 MPa, and the allowable compressive bending stress is 14 MPa. Determine the largest moment M that can be applied as shown to the beam.
An extruded polymer beam is subjected to a bending moment M. The length of the beam is L = 620 mm. The cross-sectional dimensions of the beam are b1 = 32 mm, d1 = 117 mm, b2 = 19 mm, d2 = 19 mm, and a = 6.5 mm. For this material, the allowable tensile bending stress is 13 MPa, and the allowable compressive bending stress is 13 MPa. Determine the largest moment M that can be applied as shown to the beam. b2 a M | A В
An extruded polymer beam is subjected to a bending moment M. The length of the beam is L= 620 mm. The cross-sectional dimensions of the beam are b = 37 mm, d1 = 80 mm, b2 = 22 mm, d2 = 22 mm, and a = 7.5 mm. For this material, the allowable tensile bending stress is 12 MPa, and the allowable compressive bending stress is 11 MPa. Determine the largest moment M that can be applied as shown to the bearn. b, a M d2 d | 4 B b1 Answer: M = i N-m
An extruded polymer beam is subjected to a bending moment M. The length of the beam is L = 620 mm. The cross-sectional dimensions of the beam are b1 = 39 mm, d, = 82 mm, b = 23 mm, dɔ = 23 mm, and a = 8 mm. For this material, the allowable tensile bending stress is 20 MPa, and the allowable compressive bending stress is 12 MPa. Determine the largest moment M that can be applied as shown to the beam. b2 lak M di B L b1 Answer: M = i N.m
An extruded polymer beam is subjected to a bending moment M. The length of the beam is L = 580 mm. The cross-sectional dimensions of the beam are b1 = 33 mm, d1 = 112 mm, b2 = 20 mm, d2 = 20 mm, and a = 6.5 mm. For this material, the allowable tensile bending stress is 15 MPa, and the allowable compressive bending stress is 13 MPa. Determine the largest moment M that can be applied as shown to the beam. b2 a a M d2 A B bị
Narrow bars of aluminum are bonded to the two sides of a thick steel plate as shown. Initially, at T₁ = 70°F, all stresses are zero. Knowing that the temperature will be slowly raised to T₂ and then reduced to T₁, determine (a) the highest temperature T₂ that does not result in residual stresses, (b) the temperature T₂ that will result in a residual stress in the aluminum equal to 58 ksi. Assume aa = 12.8 x 10-6/°F for the aluminum and a = 6.5 × 10-6/°F for the steel. Further assume that the aluminum is elastoplastic with E = 10.9 × 106 psi and ay = 58 ksi. (Hint: Neglect the small stresses in the plate.) Fig. P2.121