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.
A 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?
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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- 3) 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_forwardThe 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 = mmarrow_forwardA 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_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?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. O b. 129.5, yes C. 133.5 MPa, yes e. 120.5 MPa, no d. 140.5, no 123.5 MPa, yesarrow_forward
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