Materials Science And Engineering Properties
1st Edition
ISBN: 9781111988609
Author: Charles Gilmore
Publisher: Cengage Learning
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Question
Chapter 9, Problem 9ETSQ
To determine
The most desirable characteristics of a material extruded at a high shear strain rate.
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For a bronze alloy, the stress at which plastic deformation begins is 275 MPa (40,000 psi), and the modulus of elasticity is 115 GPa (16.7 x106 psi). (a) What is the maximum load that may be applied to a specimen with a cross-sectional area of 325 mm2 (0.5 in.2) without plastic de- formation? (15pts)(b) If the original specimen length is 115 mm (4.5 in.), what is the maximum length to which it may be stretched without causing plastic deformation?(15pts)
This is a mechanical property of engineering materials that exhibits a slow deformation under long term sustained loads.
A copper rod is deformed using a uniaxial tensile force of 16000 N. Deformation continues until sufficient strain hardening has occurred such that the applied force is too small to allow further deformation. After deformation, the rod has a diameter of 0.01 m and a length of 1.5 m. Assume that copper follows the strain hardening lawwith K of 310 MPa and n=0.54
Please calculate the true strain after the deformation ?
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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Similar questions
- Mechanical Properties-Metals For a bronze alloy, the stress at which plastic deformation begins is 295 MPa and the modulus of elasticity (E) is 108 GPa. (a) What is the maximum load (Fy) that can be applied to a specimen having a cross-sectional area of 314 mm2 without plastic deformation? (b) If the original specimen length is 142 mm, what is the maximum length to which it may be stretched without causing plastic deformation?arrow_forwardAn aluminum specimen originally 300 mm long is pulled in tension witha stress of 275 MPa. If the deformation is entirely elastic, what will be theresultant elongation? The aluminum modulus of elasticity is 75 GPa.arrow_forwardPlease annotate the attached image to highlight the different phases of a polymer stress/strain graph. From the attached graph, calculate the following: 1-modulus of elasticity 2-tensile strength 3-the ductility in % of elongation 4- yield strength at a strain offset of 0.002arrow_forward
- A cylindrical aluminum alloy rod with a 0.5 in. diameter is subjected to ten- sion. Determine the magnitude of the load required to produce a 10-4 in. change in diameter if the deformation is entirely elastic. Assume a Young’s modulus of 11 * 106 psi and a Poisson’s ratio of 0.33.arrow_forwardAn extruded polymer beam is subjected to a bending moment M. The length of the beam is L = 700 mm. The cross-sectional dimensions of the beam are b1 = 30 mm, d1 = 103 mm, b2 = 18 mm, d2 = 18 mm, and a = 6 mm. For this material, the allowable tensile bending stress is 11 MPa, and the allowable compressive bending stress is 12 MPa. Determine the largest moment M that can be applied as shown to the beam.arrow_forwardA cylindrical specimen of a hypothetical metal alloy is stressed in compression. If its original andfinaldiameters are 20.000 and 20.026mm, respectively, and its final length is 74.96 mm, compute its originallength if the deformation is totally elastic. The elastic and shear moduli for this alloy are 105 GPa and 39.7 GPa,respectively.arrow_forward
- For a bronze alloy, the stress at which plastic deformation begins is 280 MPa, with modulus of elasticityas 115 GPa. What is the maximum load that may be applied to a specimen having a cross-sectional areaof 422 mm2 without plastic deformation? If the original specimen length is 130 mm, find the extendedmaximum length without causing plastic deformation?arrow_forwardAn elastoplastic material with strain hardening has the stress–strain relationship shown in Figure . The yield point corresponds to 600 MPa stress and 0.003 m/m strain.a. If a bar made of this material is subjected to a stress of 650 MPa and then released, what is the permanent strain?b. What is the percent increase in yield strength that is gained by the strain hardening shown in part (a)?c. After strain hardening, if the material is subjected to a stress of 625 MPa,how much strain is obtained? Is this strain elastic, permanent, or a combination of both?arrow_forwardAn extruded polymer beam is subjected to a bending moment M. The length of the beam is L = 900 mm. The cross- sectional dimensions of the beam are by = 37 mm, d1 = 88 mm, b2 = 22 mm, d2 = 22 mm, and a = 7.5 mm. For this material, the allowable tensile bending stress is 18 MPa, and the allowable compressive bending stress is 14 MPa. Determine the largest moment M that can be applied as shown to the beam.arrow_forward
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