EBK MANUFACTURING PROCESSES FOR ENGINEE
6th Edition
ISBN: 9780134425115
Author: Schmid
Publisher: YUZU
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Chapter 2, Problem 2.38Q
To determine
The dilation of material for Poisson’s ration 0.5 and the possibility for the material top have Poisson’s ratio as 0.7.
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3. A 30-cm long, 12-mm diameter carbon steel rod was
subjected to 15.5 kN of tension. Calculate (a) the stress and
strain in the rod, (b) the amount that it stretches, (c) its
change in diameter, and (d) its stiffness (k=EA/L). (e) If the
force was only 4.5 kN, by what amount would the rod have
stretched?
In order to find out the effects of the grain sizes on the mechanical strength of a metal, three different grain sizes of 10 µm, 500 nm and 10 nm were produced. What will be the yield stresses of these same metals at different average grain sizes? The yield strength for a grain or reference point is 78 MPa, while the material proportional constant is 29.2 MPa-mm1/2.
The yield strength for an alloy that has an average
grain diameter of 5.2 x 102 mm is 110 MPa. At a
grain diameter of 6.3 x 103 mm, the yield strength
increases to 251 MPa. At what grain diameter, in
mm, will the yield strength be 222 MPa?
d =
mm
Chapter 2 Solutions
EBK MANUFACTURING PROCESSES FOR ENGINEE
Ch. 2 - Prob. 2.1QCh. 2 - Prob. 2.2QCh. 2 - Prob. 2.3QCh. 2 - Prob. 2.4QCh. 2 - Prob. 2.5QCh. 2 - Prob. 2.6QCh. 2 - Prob. 2.7QCh. 2 - Prob. 2.8QCh. 2 - Prob. 2.9QCh. 2 - Prob. 2.10Q
Ch. 2 - Prob. 2.11QCh. 2 - Prob. 2.12QCh. 2 - Prob. 2.13QCh. 2 - Prob. 2.14QCh. 2 - Prob. 2.15QCh. 2 - Prob. 2.16QCh. 2 - Prob. 2.17QCh. 2 - Prob. 2.18QCh. 2 - Prob. 2.19QCh. 2 - Prob. 2.20QCh. 2 - Prob. 2.21QCh. 2 - Prob. 2.22QCh. 2 - Prob. 2.23QCh. 2 - Prob. 2.24QCh. 2 - Prob. 2.25QCh. 2 - Prob. 2.26QCh. 2 - Prob. 2.27QCh. 2 - Prob. 2.28QCh. 2 - Prob. 2.29QCh. 2 - Prob. 2.30QCh. 2 - Prob. 2.31QCh. 2 - Prob. 2.32QCh. 2 - Prob. 2.33QCh. 2 - Prob. 2.34QCh. 2 - Prob. 2.35QCh. 2 - Prob. 2.36QCh. 2 - Prob. 2.37QCh. 2 - Prob. 2.38QCh. 2 - Prob. 2.39QCh. 2 - Prob. 2.40QCh. 2 - Prob. 2.41QCh. 2 - Prob. 2.42QCh. 2 - Prob. 2.43QCh. 2 - Prob. 2.44QCh. 2 - Prob. 2.45QCh. 2 - Prob. 2.46QCh. 2 - Prob. 2.47QCh. 2 - Prob. 2.48QCh. 2 - Prob. 2.49PCh. 2 - Prob. 2.50PCh. 2 - Prob. 2.51PCh. 2 - Prob. 2.52PCh. 2 - Prob. 2.53PCh. 2 - Prob. 2.54PCh. 2 - Prob. 2.55PCh. 2 - Prob. 2.56PCh. 2 - Prob. 2.57PCh. 2 - Prob. 2.58PCh. 2 - Prob. 2.59PCh. 2 - Prob. 2.60PCh. 2 - Prob. 2.61PCh. 2 - Prob. 2.62PCh. 2 - Prob. 2.63PCh. 2 - Prob. 2.64PCh. 2 - Prob. 2.65PCh. 2 - Prob. 2.66PCh. 2 - Prob. 2.67PCh. 2 - Prob. 2.68PCh. 2 - Prob. 2.69PCh. 2 - Prob. 2.70PCh. 2 - Prob. 2.71PCh. 2 - Prob. 2.72PCh. 2 - Prob. 2.73PCh. 2 - Prob. 2.74PCh. 2 - Prob. 2.75PCh. 2 - Prob. 2.76PCh. 2 - Prob. 2.78PCh. 2 - Prob. 2.79PCh. 2 - Prob. 2.80PCh. 2 - Prob. 2.81PCh. 2 - Prob. 2.82PCh. 2 - Prob. 2.83PCh. 2 - Prob. 2.84PCh. 2 - Prob. 2.85PCh. 2 - Prob. 2.86PCh. 2 - Prob. 2.87PCh. 2 - Prob. 2.88PCh. 2 - Prob. 2.89PCh. 2 - Prob. 2.90PCh. 2 - Prob. 2.91PCh. 2 - Prob. 2.92PCh. 2 - Prob. 2.93PCh. 2 - Prob. 2.94PCh. 2 - Prob. 2.95PCh. 2 - Prob. 2.96PCh. 2 - Prob. 2.97PCh. 2 - Prob. 2.98PCh. 2 - Prob. 2.99PCh. 2 - Prob. 2.100PCh. 2 - Prob. 2.101P
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Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.Similar questions
- A 30 cm long, 12 mm diameter carbon steel rod was subjected to 15.5 kN of tension. Calculate: (a) the stress and strain in the rod (b) the amount that it stretches, (c) its change in diameter and its stiffness (k= EA/L), (d) If the force was only 4.5 kN, by what amount would the rod have stretched?arrow_forward3) The strength of a titanium piece is found to be 65,000 psi when the grain size is 17 x10-6 m and 82,000 psi when the grain size is 0.8 x10 m. What would be the 9- (a) Constants in the Hall-Petch equation Strength of this titanium piece when the grain size is reduced to 0.2 x10 m. (9)arrow_forwardA low-carbon steel has a yield strength of 622 MPa when the average grain diameter is 180 μm. When the grain diameter is reduced to 22 um, the yield strength increases to 663 MPa. (a.) Calculate the yield strength when the grain diameter is reduced to 10 um. Keep track of units, and show all work. (b.) Did we reach the "magical value" of 100 ksi?arrow_forward
- The critical resolved shear stress for copper is 0.48 MPa. Determine the maximum possible yield strength for a single crystal of Cu pulled in tension.arrow_forwardThe yield stress of AISI 1020 steel with a grain size of 200 μm is 200 MPa.Estimate the yield stress for a grain size of 10 μm if the Hall--Petch constantk = 0.8 MN/m3/2.arrow_forwardIn an engineering application, the material is a strip of iron with a fixed crystallographic structure subject to a tensile load during operation. The part failed (yielded) during operation and needs to be replaced with a component with better properties. You are told that two other iron strips had failed at yield stresses of 110 and 120 MPa, with grain sizes of 30 microns and 25 microns respectively. The current strip has a grain size of 20 microns. The 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? Select one: a. 140.5, no Ob. 129.5, yes OC. 120.5 MPa, no O d. 133.5 MPa, yes O e. 123.5 MPa, yesarrow_forward
- 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 failed (yielded) during operation and needs to be replaced with a component with better properties. You are told that two other iron strips had failed at yield stresses of 110 and 120 MPa, with grain sizes of 30 microns and 25 microns respectively. The current strip has a grain size of 20 microns. The 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? Select one: a.120.5 MPa, no b.140.5, no c.129.5, yes d.123.5 MPa, yes e.133.5 MPa, yesarrow_forwardIn an engineering application, the material is a strip of iron with a fixed crystallographic structure subject to a tensile load during operation. The part failed (yielded) during operation and needs to be replaced with a component with better properties. You are told that two other iron strips had failed at yield stresses of 110 and 120 MPa, with grain sizes of 30 microns and 25 microns respectively. The current strip has a grain size of 20 microns. The 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? Select one: a. O b. 129.5, yes C. 133.5 MPa, yes e. 120.5 MPa, no d. 140.5, no 123.5 MPa, yesarrow_forwardIn an engineering application, the material is a strip of iron with a fixed crystallographic structure subject to a tensile load during operation. The part failed (yielded) during operation and needs to be replaced with a component with better properties. You are told that two other iron strips had failed at yield stresses of 110 and 120 MPa, with grain sizes of 30 microns and 25 microns respectively. The current strip has a grain size of 20 microns. The 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?arrow_forward
- The yield strength for an alloy that has an average grain diameter of 4.0 x 102 mm is 107 MPa. At a grain diameter of 7.1 x 10³ mm, the yield strength increases to 246 MPa. At what grain diameter, in mm, will the yield strength be 201 MPa?arrow_forwardA steel with a grain size of 25 μm has a yield stress of 200 MPa and with a grain size of 9 μm a yield stress of 300 MPa. A dispersion of non-deformable particles is required to raise the strength to 500 MPa in a steel with grain size 100 μm. What would be the required dispersion spacing? (Assume the shear modulus G = 80 GPa, the Burgers vector b = 0.2nm.)Hint : Use the Hall_petch relation given below :σy = σi + kd-½where σy is the yield strength, σi is the lattice friction stress, k is constant and d is the average grain size.arrow_forwardThe yield stresses (σY) have been measured using steel and aluminum specimens of various grain sizes given in the attached image.On the basis of data answer the following questions: (a) Determine the coefficients σ0 and kY in the Hall- Petch for these two materials.(b) Determine the yield stress in each material for a grain size of d=26 μm.arrow_forward
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