Materials Science And Engineering Properties
1st Edition
ISBN: 9781111988609
Author: Charles Gilmore
Publisher: Cengage Learning
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Chapter 11, Problem 11.7P
(a)
To determine
The yield stress changes as a function of homologous temperature.
(b)
To determine
The fracture stress changes as a function of homologous temperature.
(c)
To determine
The temperature of the transition from brittle fracture to ductile fracture changes when the yield strength of BCC metal is increased by
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A tensile test specimen of aluminum alloy having a diameter of 0.5 in. and a gage length of
2 in. was tested to fracture. The complete stress-strain diagram for this specimen is shown
below to the left. The small strain portion of this diagram has been enlarged (to the right)
to show in more detail the linear portion of the stress-strain diagram. Determine (a)
Young's modulus or modulus of elasticity (i.e., the slope of linear portion), (b) yield stress
(using the so-called 0.2% offset method from the lecture notes), (c) yield strain (i.e., the
strain corresponding to yield stress, not the 0.2%!), (d) ultimate strength (i.e., the peak in
stress-strain diagram), (e) rupture stress (i.e., stress at breaking/failure), (f) rupture strain
(i.e., the strain corresponding to rupture stress).
80
70
70
60
60
50
50
40
30
30
20
20
10
10
0.005
0.01
0.015
0.02
Strain (in/in)
Strain (in/in)
Stress (ksi)
0.015 -
0.03 -
0.12 -
0.135 -
0.15
Stress (ksi)
3. The distribution of stress in an aluminum machine component is given (in megapascals) by
Ox = y + z?
Oy = x + z
Oz = 3x + y
Txy = 3z2
Tyz = x Txz =
%3D
Calculate the state of strain at a point positioned at (1,2,4). Use E=70 GPa and v = 0.3
For a point on a steel specimen, the principal stresses are known to be 01 = 360
MPa and O2 = 60 MPa. Calculate the minimum yield stress of the material according
to the Tresca criterion. Give your answer in MPa to 3 significant figures.
Chapter 11 Solutions
Materials Science And Engineering Properties
Ch. 11 - Prob. 1CQCh. 11 - Prob. 2CQCh. 11 - Prob. 3CQCh. 11 - Prob. 4CQCh. 11 - Prob. 5CQCh. 11 - Prob. 6CQCh. 11 - Prob. 7CQCh. 11 - Prob. 8CQCh. 11 - Prob. 9CQCh. 11 - Prob. 10CQ
Ch. 11 - Prob. 11CQCh. 11 - Prob. 12CQCh. 11 - Prob. 13CQCh. 11 - Prob. 14CQCh. 11 - Prob. 15CQCh. 11 - Prob. 16CQCh. 11 - Prob. 17CQCh. 11 - Prob. 18CQCh. 11 - Prob. 19CQCh. 11 - Prob. 20CQCh. 11 - Prob. 21CQCh. 11 - Prob. 22CQCh. 11 - Prob. 23CQCh. 11 - Prob. 24CQCh. 11 - Prob. 25CQCh. 11 - Prob. 26CQCh. 11 - Prob. 27CQCh. 11 - Prob. 28CQCh. 11 - Prob. 29CQCh. 11 - Prob. 30CQCh. 11 - Prob. 1ETSQCh. 11 - Prob. 2ETSQCh. 11 - Prob. 3ETSQCh. 11 - Prob. 4ETSQCh. 11 - Prob. 5ETSQCh. 11 - Prob. 6ETSQCh. 11 - Prob. 7ETSQCh. 11 - Prob. 8ETSQCh. 11 - Prob. 9ETSQCh. 11 - Prob. 10ETSQCh. 11 - Prob. 11.1PCh. 11 - Prob. 11.2PCh. 11 - Prob. 11.3PCh. 11 - Prob. 11.4PCh. 11 - Prob. 11.5PCh. 11 - Prob. 11.6PCh. 11 - Prob. 11.7PCh. 11 - Prob. 11.8PCh. 11 - Prob. 11.9PCh. 11 - Prob. 11.10PCh. 11 - Prob. 11.11PCh. 11 - Prob. 11.12PCh. 11 - Prob. 11.13PCh. 11 - Prob. 11.14P
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- In the figure shown below, determine: 1) The final temperature if the normal stress at aluminium is Og = -90 MPa and the initial temperature %3D 20°C. 2) The final length of the aluminium member. Aluminum A=1800mm? Bronze A=1500mm? E=73GPA E=105GPA a=23.2x10-6/°C a=21.6x10-6/°C Gap=0.5mm 0.35m 0.45marrow_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_forwardA 5-mm-thick rectangular alloy bar is subjected to ajtensile load P by pins at A and B, as shown in the figure. The width of the bar is w = 33 mm. Strain gages bonded to the specimen measure the following strains in the longitudinal (x) and transverse (y) directions: €, =710 με and ε,--255 με (a) Determine Poisson's ratio for this specimen. (b) If the measured strains were produced by an axial load of P = 24 kN, what is the modulus of elasticity for this specimen? Answers: (a) v= (b) E= GPaarrow_forward
- X Your answer is incorrect. An extruded polymer beam is subjected to a bending moment M. The length of the beam is L = 760 mm. The cross-sectional dimensions of the beam are bị = 33 mm, di = 102 mm, bz = 20 mm, d2 = 20 mm, and a = 6.5 mm. For this material, the allowable tensile bending stress is 10 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 d2 A В b1 Answer: M = 457.082 N-m Save for Later Attempts: 2 of 3 used Submit Answer Usine mutinle attemnts has imnacted vour scorearrow_forwardIn the figure shown below, determine: 1) The final temperature if the normal stress at aluminium is oal = -90 MPa and the initial temperature 20°C. 2) The final length of the aluminium member. Aluminum A=1800mm? E=73GPA Bronze A=1500mm2 E=105GPA a=23.2x10-6/°C a=21.6x10-6/°C Gap=0.5mm 0.35m 0.45marrow_forwardThe elastic portion of the tension stress–strain diagram for an aluminum alloy is shown in the figure. The specimen used for the test has a gauge length of 2 in. and a diameter of 0.5 in. If the applied load is 10 kip, determine the new diameter of the specimen. The shear modulus is Gal = 3.8(103) ksi.arrow_forward
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