Materials Science And Engineering Properties
1st Edition
ISBN: 9781111988609
Author: Charles Gilmore
Publisher: Cengage Learning
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Question
Chapter 9, Problem 33CQ
To determine
The nature of strain applied to the specimen for stress relaxation in it.
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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.
At an axial load of 25 kN, a 50-mm-wide by 15-mm-thick polyimide polymer bar elongates 3.1 mm while the bar width contracts 0.26
mm. The bar is 220 mm long. At the 25-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) Audness
GPa
mm
At room temperature (20°C) a 0.7-mm gap
exists between the ends of the rods shown.
At a later time when the temperature has
reached 150°C, determine: (a.)The normal
stress in the aluminum rod, (b.) The change
in length of the aluminum rod.
0.7 mm
300 mm
A
Aluminum
A =2,000 mm²
E= 75 GPa
α = 23 x 106/°C
250 mm
B
Stainless steel
A = 800 mm²
E = 190 GPa
a = 17.3 x 10-6/°C
Chapter 9 Solutions
Materials Science And Engineering Properties
Ch. 9 - Prob. 1CQCh. 9 - Prob. 2CQCh. 9 - Prob. 3CQCh. 9 - Prob. 4CQCh. 9 - Prob. 5CQCh. 9 - Prob. 6CQCh. 9 - Prob. 7CQCh. 9 - Prob. 8CQCh. 9 - Prob. 9CQCh. 9 - Prob. 10CQ
Ch. 9 - Prob. 11CQCh. 9 - Prob. 12CQCh. 9 - Prob. 13CQCh. 9 - At temperatures above the equi-cohesive...Ch. 9 - Prob. 15CQCh. 9 - Prob. 16CQCh. 9 - Prob. 17CQCh. 9 - Prob. 18CQCh. 9 - Prob. 19CQCh. 9 - Prob. 20CQCh. 9 - Prob. 21CQCh. 9 - Prob. 22CQCh. 9 - Prob. 23CQCh. 9 - Prob. 24CQCh. 9 - Prob. 25CQCh. 9 - Prob. 26CQCh. 9 - Prob. 27CQCh. 9 - Prob. 28CQCh. 9 - Prob. 29CQCh. 9 - Prob. 30CQCh. 9 - Prob. 31CQCh. 9 - Prob. 32CQCh. 9 - Prob. 33CQCh. 9 - Prob. 34CQCh. 9 - Prob. 35CQCh. 9 - Prob. 1ETSQCh. 9 - Prob. 2ETSQCh. 9 - Prob. 3ETSQCh. 9 - Prob. 4ETSQCh. 9 - Prob. 5ETSQCh. 9 - Prob. 6ETSQCh. 9 - Prob. 7ETSQCh. 9 - Prob. 8ETSQCh. 9 - Prob. 9ETSQCh. 9 - Prob. 10ETSQCh. 9 - Prob. 11ETSQCh. 9 - Prob. 12ETSQCh. 9 - Prob. 9.1PCh. 9 - Prob. 9.2PCh. 9 - Prob. 9.3PCh. 9 - Prob. 9.4PCh. 9 - Prob. 9.5PCh. 9 - Prob. 9.6PCh. 9 - Prob. 9.7PCh. 9 - Prob. 9.8PCh. 9 - Prob. 9.9PCh. 9 - Prob. 9.10PCh. 9 - For silver at a tensile stress of 7 MPa and a...Ch. 9 - For germanium at a tensile stress of 410 MPa and a...Ch. 9 - Prob. 9.13PCh. 9 - Prob. 9.14PCh. 9 - Prob. 9.15PCh. 9 - Prob. 9.16PCh. 9 - Prob. 9.17PCh. 9 - Prob. 9.18PCh. 9 - Prob. 9.19PCh. 9 - Prob. 9.20PCh. 9 - Prob. 9.21PCh. 9 - Prob. 9.22P
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- 6arrow_forwardAt temperatures above the equi-cohesive temperature, the creep mechanism of grain boundary ____________ is observed.arrow_forwardFor germanium at a tensile stress of 410 MPa and a temperature of 332C , what is the primary creep mechanism? The shear modulus of germanium is 41 GPa.arrow_forward
- A metal bar of length 100 mm is inserted between increased by 10°C. If the coefficient of thermal expansion is 12 × 106 per °C and the Young's two rigid supports and its temperature is increased by 10°C. If the coefficient of thermal expansion is 12 × 10-6 per °C and the Youna's modulus is 2 x105 MPa, the stress in the bar is (a) zero (c) 24 MPa (b) 12 MPa (d) 2400 MPaarrow_forwardAt an axial load of 22 kN, a 15-mm-thick x 35-mm-wide polyimide polymer bar elongates 4.2 mm while the bar width contracts 0.25 mm. The bar is 215-mm long. At the 22-kN load, the stress in the polymer bar is less than its proportional limit. Determine Poisson's ratio. O 0.366 O 0.336 EBA O 0.473 O 0.229 O 0.427arrow_forwardAt room temperature (200C) a 0.50mm gap exists between the ends of the rods shown. At a later time when the temperature has reached 1400C. (a) Determine the normal stress in the aluminum rod. (b) Determine the change in length of the aluminum rod.arrow_forward
- (a) Illustrate a typical stress-strain curve for brittle and ductile materials.arrow_forward2. The Goodman diagram relates oa and om for fatigue failure after a specific number of cycles N₁, where da is the cyclic stress amplitude, and on the mean stress. For a steel specimen it is found that a = a (0). [1- (om/OTS)] where GTS is the metal's tensile stress (375MPa), and oa (0)~0.450TS is the 107 cycle fatigue limit at zero mean stress. Assuming the specimen is cycled repeatedly between 0 stress and a peak stress, what is the maximum peak stress if failure in < 107 cycles is to be avoided? Ans: 233 MPaarrow_forwardThe value of strain if stress is 35 MPa and Youngs modulus 65 MPaarrow_forward
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