Materials Science And Engineering Properties
1st Edition
ISBN: 9781111988609
Author: Charles Gilmore
Publisher: Cengage Learning
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Question
Chapter 7, Problem 7.5P
To determine
The grain size of titanium for yield stress of
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Question No.2
Figure P1.16 shows the stress-strain relations of metals A and B during ten-
sion tests until fracture. Determine the following for the two metals (show all
calculations and units):
a. Proportional limit
b. Yield stress at an offset strain of 0.002 m/m.
c. Ultimate strength
d. Modulus of resilience
e. Toughness
I. Which metal is more ductile? Why?
900
-Metal A
E 600
Metal B
300
0.00 a02 004 a.06 0.08 0.10 0.12 014
Strain, matm
FIGURE P1.16
Strees, MPa
Chapter 7 Solutions
Materials Science And Engineering Properties
Ch. 7 - Prob. 1CQCh. 7 - Prob. 2CQCh. 7 - Prob. 3CQCh. 7 - Prob. 4CQCh. 7 - Prob. 5CQCh. 7 - Prob. 6CQCh. 7 - Prob. 7CQCh. 7 - Prob. 8CQCh. 7 - Prob. 9CQCh. 7 - Prob. 10CQ
Ch. 7 - Prob. 11CQCh. 7 - Prob. 12CQCh. 7 - Prob. 13CQCh. 7 - Prob. 14CQCh. 7 - Prob. 15CQCh. 7 - Prob. 16CQCh. 7 - Prob. 17CQCh. 7 - Prob. 18CQCh. 7 - Prob. 19CQCh. 7 - Prob. 20CQCh. 7 - Prob. 21CQCh. 7 - Prob. 22CQCh. 7 - Prob. 23CQCh. 7 - Prob. 24CQCh. 7 - Prob. 25CQCh. 7 - Prob. 26CQCh. 7 - Prob. 27CQCh. 7 - Prob. 28CQCh. 7 - Prob. 29CQCh. 7 - Prob. 30CQCh. 7 - Prob. 31CQCh. 7 - Prob. 32CQCh. 7 - Prob. 33CQCh. 7 - Prob. 34CQCh. 7 - Prob. 35CQCh. 7 - Prob. 36CQCh. 7 - Prob. 37CQCh. 7 - Prob. 38CQCh. 7 - Prob. 39CQCh. 7 - Prob. 40CQCh. 7 - Prob. 41CQCh. 7 - Prob. 42CQCh. 7 - Prob. 43CQCh. 7 - Prob. 44CQCh. 7 - Prob. 45CQCh. 7 - Prob. 46CQCh. 7 - Prob. 47CQCh. 7 - Prob. 48CQCh. 7 - Prob. 49CQCh. 7 - Prob. 50CQCh. 7 - Prob. 51CQCh. 7 - Prob. 52CQCh. 7 - Prob. 1DRQCh. 7 - Prob. 2DRQCh. 7 - Prob. 3DRQCh. 7 - Prob. 4DRQCh. 7 - Prob. 5DRQCh. 7 - Prob. 6DRQCh. 7 - Prob. 7DRQCh. 7 - Prob. 8DRQCh. 7 - Prob. 1ETSQCh. 7 - Prob. 2ETSQCh. 7 - Prob. 3ETSQCh. 7 - Prob. 4ETSQCh. 7 - Prob. 5ETSQCh. 7 - Prob. 6ETSQCh. 7 - Prob. 7ETSQCh. 7 - Prob. 8ETSQCh. 7 - Prob. 9ETSQCh. 7 - Prob. 7.1PCh. 7 - Prob. 7.2PCh. 7 - Prob. 7.3PCh. 7 - Prob. 7.4PCh. 7 - Prob. 7.5PCh. 7 - Prob. 7.6PCh. 7 - Prob. 7.7PCh. 7 - Prob. 7.8PCh. 7 - Prob. 7.9PCh. 7 - Prob. 7.10PCh. 7 - Prob. 7.11PCh. 7 - Prob. 7.13P
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- Question No.2 Figure P1.16 shows the stress-strain relations of metals A and B during ten- sion tests until fracture. Determine the following for the two metals (show all calculations and units): a. Proportional limit b. Yield stress at an offset strain of 0.002 m/m. c. Ultimate strength d. Modulus of resilience e. Toughness f. Which metal is more ductile? Why? 000 -Metal A S 600 -Metal B 300 0.00 a.02 0.04 0.06 0.08 0.10 0.12 0.14 Strain, mim FIGURE P1.16 Stress, MPaarrow_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_forwardIn a tensile test a metal begins to neck at a true strain = 0.28 with a corresponding true stress = 345.0 MPa. Without knowing any more about the test, can you estimate the strength coefficient and the strain hardening exponent in the flow curve equation?arrow_forward
- 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 ?arrow_forwardIn 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_forwardGiven your understanding of what initiates and controls failure in materials, which of the following will increase the failure strength or lifetime of a test piece or component and why? a. Decreasing the difference between the maximum and minimum stress values, as this effects the stress concentration factor b. Decreasing the temperature below the brittle-ductile transition temperature, to make it harder C. Polishing to reduce surface defects Od. Increasing its volume, to give a larger cross sectional area Oe. Increasing the grain size so there are less grain boundaries to initiate failurearrow_forward
- A steel plate used for polymer forming is to be bent into a circular shape having an inside radius of 10 m. What maximum thickness can be used for the plate if the normal stress is not to exceed 267 MPa? Assume that the modulus of elasticity for the steel is 201 GPa.arrow_forwardS Figure P1.16 shows the stress-strain relations of metals A and B during ten- sion tests until fracture. Determine the following for the two metals (show all calculations and units): a. Proportional limit b. Yield stress at an offset strain of 0.002 m/m. c. Ultimate strength d. Modulus of resilience e. Toughness f. Which metal is more ductile? Why? 900 Metal A 600 Metal B 300 0.00 0.02 0.04 0.06 0.08 0.10 0.12 0.14 Strain, m/m FIGURE P1.16 Stress, MPaarrow_forwardA cylindrical metal specimen 12.7 mm (0.5 in.) in diameter and 250 mm (10 in.) long is to be subjected to a tensile stress of 28 MPa (4000 psi); at this stress level, the resulting deformation will be totally elastic. (a) If the elongation must be less than 0.080 mm (3.2 x 10-3 in.), which of the metals in Table 6.1 are suitable candidates? O Steel O Nickel Brass O Magnesium O Aluminum O Copper O Titanium O Tungsten (b) If, in addition, the maximum permissible diameter decrease is 1.2 x 103 mm (4.7 × 105 in.) when the tensile stress of 28 MPa is applied, which of the metals that satisfy the criterion in part (a) are suitable candidates? O Aluminum O Magnesium O Steel O Tungsten O Copper O Brass O Titanium O Nickelarrow_forward
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