Materials Science And Engineering Properties
1st Edition
ISBN: 9781111988609
Author: Charles Gilmore
Publisher: Cengage Learning
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Chapter 13, Problem 8ETSQ
To determine
The option that is not an advantage of superplastic forming.
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The assembly shown consists of an aluminum shell (E,= 70 GPa, a, = 23.6 × 10-6rC) fully bonded to a steel core (Es = 200 GPa, as =
11.7 x 10-6rC) and the assembly is unstressed at a temperature of 20°C. Considering only axial deformations, determine the stress in
the aluminum when the temperature reaches 215°C.
200 mm
20 mm
Aluminum shell
Steel
50 mm
core
The stress in the aluminum is
MPa.
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
The stress-strain diagram for a bar of steel alloy is shown. Determine:
a) The modulus of Elasticity for the material
b) The proportional limit
c) The ultimate stress
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Chapter 13 Solutions
Materials Science And Engineering Properties
Ch. 13 - Prob. 1CQCh. 13 - Prob. 2CQCh. 13 - Prob. 3CQCh. 13 - Prob. 4CQCh. 13 - Prob. 5CQCh. 13 - Prob. 6CQCh. 13 - Prob. 7CQCh. 13 - Prob. 8CQCh. 13 - Prob. 9CQCh. 13 - Prob. 10CQ
Ch. 13 - Prob. 11CQCh. 13 - Prob. 12CQCh. 13 - Prob. 13CQCh. 13 - Prob. 14CQCh. 13 - Prob. 15CQCh. 13 - Prob. 16CQCh. 13 - Prob. 17CQCh. 13 - Prob. 18CQCh. 13 - Prob. 19CQCh. 13 - Prob. 1ETSQCh. 13 - Prob. 2ETSQCh. 13 - Prob. 3ETSQCh. 13 - Prob. 4ETSQCh. 13 - Prob. 5ETSQCh. 13 - Prob. 6ETSQCh. 13 - Prob. 7ETSQCh. 13 - Prob. 8ETSQCh. 13 - Prob. 9ETSQCh. 13 - Prob. 10ETSQCh. 13 - Prob. 11ETSQCh. 13 - Prob. 12ETSQCh. 13 - Prob. 13ETSQCh. 13 - Prob. 14ETSQCh. 13 - Prob. 15ETSQCh. 13 - Prob. 16ETSQ
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- -6 The aluminum shell is fully bonded to the brass core and the assembly is unstressed at a temperature of 16°C. It is known thatE = 105 GPa and a = 20.9 × 10 °C for the brass core and E = 71 GPa and a = 23.8 × 10¯6°C for the aluminum shell. Considering only axial deformations, determine the stress in the aluminum when the temperature reaches 185°C. 25 mm σα MPa -63 mmarrow_forwardAn 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.arrow_forwardA 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.arrow_forward
- An aluminum alloy [E = 72 GPa; v = 0.33; a= 23.0 x 10-6/°C] plate is subjected to a tensile load P. The plate has a depth of d = 245 mm, a cross-sectional area of A = 5500 mm², and a length of L = 6.0 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 AT = 69°C, the longitudinal normal strain in the plate is found to be 3340 μc. Determine: (a) the magnitude of load P. (b) the change in plate depth Ad. L P Answer: (a) P = i (b) Δd = i KN mmarrow_forwardAn aluminum alloy [E = 69 GPa; v = 0.33; a = 23.0 x 10-6/°C] plate is subjected to a tensile load P. The plate has a depth of d = 215 mm, a cross-sectional area of A = 5100 mm2, and a length of L = 3.9 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 AT = 53°C, the longitudinal normal strain in the plate is found to be 2320 με. Determine: (a) the magnitude of load P. (b) the change in plate depth Ad. L Answer: (a) P = i (b) Δd = = i d KN mmarrow_forwardAn 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 usedarrow_forward
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