Materials Science And Engineering Properties
1st Edition
ISBN: 9781111988609
Author: Charles Gilmore
Publisher: Cengage Learning
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Chapter 7, Problem 7.4P
To determine
The yield strength of titanium if grain size is reduced to
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The strength of titanium is 448.16 MPa when the grain size is 17.02 μm and565.4 MPawhen the grain size is0.8μm. What average grain size (in nm) is required to achieve a strength of approximately 839 MPa?
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
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In an engineering application, the material is a strip of iron with a fixed crystallographic structure subject to a tensile load during operation. The part
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diameter of the rod is 1 mm and the load applied is 100 N. What is the yield stress of the new part C and would you recommend it for operation?
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OC.
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120.5 MPa, no
129.5, yes
140.5, no
123.5 MPa, yes
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
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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_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_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
- Given 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_forwardA batch of casted mild steel has a modulus of elasticity of 200 GPa and a yield strength of 250 MPa. Calculate for its modulus of resilience. After cold working the steel, the yield strength increases to 310 MPa. Calculate for the percent reduction in the average grain diameter given σo = 70 MPa and k = 0.74.arrow_forwardDraw a tensile stress-strain curve for a typical semi-crystalline polymer such as LLDPE, and define the three main regions on the curve.arrow_forward
- At the ultimate tensile strength. (a) The true stress is at its maximum. (b) The specimen always fractures. (c) The maximum load-carrying capacity is experienced. (d) The material yields.arrow_forwardA structural component in the shape of a flat plate 24.3 mm thick is to be fabricated from a metal alloy for which the yield strength and plane strain fracture toughness values are 533 MPa and 22.0 MPa-m1/2, respectively. For this particular geometry, the value of Y is 1.3. Assuming a design stress of 0.4 times the yield strength, calculate the critical length of a surface flaw. What formulas do i use ? And how do i use them?arrow_forwardBoth tensile strength and hardness are indicators of a metal’s resistance to plastic deformation. Consequently, they are roughly proportional as shown in Figure 4b (ii) below for different types of metals including brass, thus the hardness values can be estimated from the material’s Ultimate Tensile Stress (UTS) and vice versa. What are the Brinell and Rockwell hardness numbers for the brass specimen with its engineering stress/strain curve shown in Figure 4b (i)?arrow_forward
- 16) Which of the following mechanical properties can be measured / calculated from this tensile stress-strain graph of a generic metal alloy? (pick all that apply) a. Poisson's ratio b. Elastic modulus C. Shear modulus d. Flexural modulus e. Fracture toughness 17) Interstitial sites in a FCC lattice are called a. Rhombohedral and cubic b. Cubic and hexagonal C. Monoclinic and triclinic Stress (MPa) 2000 MPa 2000 1000 1000 0.000 0.005 0.010 0.015 Strain 0.000 0.020 0.040 Strain 0.060 0.080 d. Tetrahedral and octahedral e. Heterogeneous and homogeneous 18) Traditional photovoltaics rely on which structural feature to separate charge carriers? a. The p-n junction b. The grain boundaries C. The twin boundaries d. The electron-hole pair e. The band gap 19) The process by which lithium ions move in to and out of graphite in a lithium-ion battery is called a. Intercalation b. Stacking C. Precipitation d. Phase combination e. lonization 20) A polymer obtained by the polymerization of two types…arrow_forwardAfter an inspection it is found that a structural ceramic part has no flaws greater than 100 micrometers in size, calculate the maximum service stress (in MPa) available with SiC. Assume that Y= 1arrow_forwardI need the answer as soon as possiblearrow_forward
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