Materials Science And Engineering Properties
1st Edition
ISBN: 9781111988609
Author: Charles Gilmore
Publisher: Cengage Learning
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Chapter 6, Problem 14ETSQ
To determine
The material of TiNi if it is deformed 5% at a temperature above the martensite start temperature and then strain is fully recovered upon reduction of stress to 0.
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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.
5) A single zinc crystal is loaded in tension with the normal to its slip plane at 60° to the
tensile axis and the slip direction at 40° to the tensile axis.
a) Calculate the resolved shear stress when a tensile stress of 0.69 MPa is applied.
b) What tensile stress is necessary to reach the critical resolved shear stress of 0.94 MPa?
1.4-7 The data shown in the table below were obtained
from a tensile test of high-strength steel. The test specimen
had a diameter of 13 mm and a gage length of 50 mm (see
figure for Prob. 1.4-3). At fracture, the elongation between
the gage marks was 3.0 mm and the minimum diameter was
10.7 mm.
Plot the conventional stress-strain curve for the steefor the steel
and determine the proportional limit, modulus of elastics of elastic-
ity (i.e., the slope of the initial part of the stress-strain,tress-strain
curve), yield stress at 0.1% offset, ultimate stress, percent,
elongation in 50 mm, and percent reduction in area.
'ess, percent
area.
TENSILE-TEST DATA FOR PROB. 1.4-7
Elongation (mm)
0.005
0.015
0.048
Load (kN)
5
10
30
50
0.084
60
0.099
64.5
0.109
67.0
0.119
68.0
0.137
69.0
0.160
70.0
0.229
72.0
0.259
76.0
0.330
84.0
0.584
92.0
0.853
100.0
1.288
112.0
2.814
113.0
Fracture
Chapter 6 Solutions
Materials Science And Engineering Properties
Ch. 6 - Prob. 1CQCh. 6 - Prob. 2CQCh. 6 - Prob. 3CQCh. 6 - Prob. 4CQCh. 6 - Prob. 5CQCh. 6 - Prob. 6CQCh. 6 - Prob. 7CQCh. 6 - Prob. 8CQCh. 6 - Prob. 9CQCh. 6 - Prob. 10CQ
Ch. 6 - Prob. 11CQCh. 6 - Prob. 12CQCh. 6 - Prob. 13CQCh. 6 - Prob. 14CQCh. 6 - Prob. 15CQCh. 6 - Prob. 16CQCh. 6 - Prob. 17CQCh. 6 - Prob. 18CQCh. 6 - Prob. 19CQCh. 6 - Prob. 20CQCh. 6 - Prob. 21CQCh. 6 - Prob. 22CQCh. 6 - Prob. 23CQCh. 6 - Prob. 24CQCh. 6 - Prob. 25CQCh. 6 - Prob. 26CQCh. 6 - Prob. 27CQCh. 6 - Prob. 28CQCh. 6 - Prob. 29CQCh. 6 - Prob. 30CQCh. 6 - Prob. 31CQCh. 6 - Prob. 32CQCh. 6 - Prob. 33CQCh. 6 - Prob. 34CQCh. 6 - Prob. 35CQCh. 6 - Prob. 36CQCh. 6 - Prob. 37CQCh. 6 - Prob. 38CQCh. 6 - Prob. 1ETSQCh. 6 - Prob. 2ETSQCh. 6 - Prob. 3ETSQCh. 6 - Prob. 4ETSQCh. 6 - Prob. 5ETSQCh. 6 - Prob. 6ETSQCh. 6 - Prob. 7ETSQCh. 6 - Prob. 8ETSQCh. 6 - Prob. 9ETSQCh. 6 - At the ultimate tensile strength. (a) The true...Ch. 6 - Prob. 11ETSQCh. 6 - Prob. 12ETSQCh. 6 - Prob. 13ETSQCh. 6 - Prob. 14ETSQCh. 6 - Prob. 15ETSQCh. 6 - Prob. 16ETSQCh. 6 - Prob. 6.1PCh. 6 - Prob. 6.2PCh. 6 - Compare the engineering and true secant elastic...Ch. 6 - Prob. 6.4PCh. 6 - Prob. 6.5PCh. 6 - An iron specimen is plastically deformed in shear...Ch. 6 - Prob. 6.7PCh. 6 - Prob. 6.8PCh. 6 - Prob. 6.9PCh. 6 - Prob. 6.10PCh. 6 - Prob. 6.11PCh. 6 - Prob. 6.12PCh. 6 - Prob. 6.13PCh. 6 - Prob. 6.14PCh. 6 - Estimate the elastic and plastic strain at the...Ch. 6 - Prob. 6.16PCh. 6 - Prob. 6.17PCh. 6 - Prob. 6.18PCh. 6 - Prob. 6.19PCh. 6 - Prob. 6.1DPCh. 6 - Prob. 6.2DP
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- A cylindrical specimen of cold-worked steel has a Brinell hardness of 240. If the specimen remained cylindrical during deformation and its original radius was 11.8 mm, determine its radius after deformation. For steel, the dependence of tensile strength on percent cold work is shown in Animated Figure 7.19b. i mmarrow_forwardThe value of strain if stress is 35 MPa and Youngs modulus 65 MPaarrow_forwardNarrow 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. P2.121arrow_forward
- At an axial load of 20 kN, a 35-mm-wide by 10-mm-thick polyimide polymer bar elongates 2.7 mm while the bar width contracts 0.15 mm. The bar is 240 mm long. At the 20-kN load, the stress in the polymer bar is less than its proportional limit.Determine(a) the modulus of elasticity.(b) Poisson’s ratio.(c) the change in the bar thickness.arrow_forwardAt an axial load of 20 kN, a 45-mm-wide by 10-mm-thick polyimide polymer bar elongates 3.3 mm while the bar width contracts 0.21 mm. The bar is 240 mm long. At the 20-kN load, the stress in the polymer bar is less than its proportional limit. Determine (a) the modulus of elasticity. (b) Poisson's ratio. (c) the change in the bar thickness. Answers: (a) E= (b) v = (c) Athickness= i i i GPa mmarrow_forwardThe ultimate tensile strength of a material is 400 MPa and the elongation up to maximum load is 35%. If the material obeys power law of hardening. Then findout the true stress-true strain relation (stress in MPa) in the plastic deformation range.arrow_forward
- An aluminum rod is rigidly attached between a steel rod and a bronze rod as shown. Axial loads are applied at the positions indicated. Find the maximum value of P in kN that will not exceed a stress in steel of 140 MPa, in aluminum of 90 MPa, or in bronze of 100 MPaarrow_forwardThe following information about the o-e curve is given for a steel alloy. E = 0.001527 at o = 300 MPa and ɛ = 0.003054 for o = 600 MPa. (a) Draw the stress-strain diagram and calculate the E for this alloy.arrow_forward
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