Foundations of Materials Science and Engineering
6th Edition
ISBN: 9781259696558
Author: SMITH
Publisher: MCG
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Chapter 6.13, Problem 93SEP
a)
To determine
The angles
b)
To determine
The magnitude of resolved shear stress in terms of uniaxial stress.
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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 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, yes
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, yes
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.
O b. 129.5, yes
C.
133.5 MPa, yes
e.
120.5 MPa, no
d. 140.5, no
123.5 MPa, yes
Chapter 6 Solutions
Foundations of Materials Science and Engineering
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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 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_forwardWhen λ=1.5Å and θ=30°, how much strain (Δd/d) is needed to cause a peak broadening same as that of grain size=50Å?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
- Consider a metal rod with a critical resolved shear stress of 40 MPa for a specific crystallographic plane (hkl). The angle between the normal to the plane and the applied force is 30 degrees, and the angle between the slip direction and the force is 15 degrees. Two force levels of F1 = 75 N and F2 = 40 N is applied. The cross-sectional area of the rod is 1 mm^(2). Will the slip initiate at the two force levels? Select one: O a. F1: Yes, F2: No O b. F1: Yes, F2: Yes O C. F1: No, F2: Yes d. F1: No, F2: Noarrow_forwardConsider a metal rod with a critical resolved shear stress of 40 MPa for a specific crystallographic plane (hkl). The angle between the normal to the plane and the applied force is 30 degrees, and the angle between the slip direction and the force is 15 degrees. Two force levels of F1 = 75 N and F2 = 40 N is applied. The cross-sectional area of the rod is 1 mm^(2). Will the slip initiate at the two force levels? Select one: a. F1: Yes, F2: No b. F1: No, F2: No OC. F1: Yes, F2: Yes Od. F1: No, F2: Yesarrow_forwardQUESTION 2 (a) Stress and strain diagram of 316L stainless steel is plotted in Figure Q2 (a). Determine and label the following terms: (i) Proportional limit point (0,ɛ) (ii) Yield point (0,ɛ) (iii) Ultimate point (0,8) (iv) Fracture point (0,8) (iv) Modulus of elasticity or Young's modulus (E) 700 400 600 500 300 400 200 6 300 200 E 100 100 0.005 0.01 0.015 0.02 0.05 0.1 0.15 0.2 0.25 0.3 0.35 0.4 0.45 Strain, E (mm/mm) Strain, E (mm/mm) Figure Q2 (a) (b) A short post AB constructed from a hollow circular tube of aluminium, supports a compressive load of 116 kN as in Figure Q2 (b). The inner and outer diameters of the tube are di=100 mm and dz=112 mm, respectively, and its length is 400 mm. The shortening of the post due to the load is measured as 0.3 mm. Determine the compressive stress and strain in the post. Note: the weight of the post is neglected. 116 KN A 400 mm Figure Q2 (b) Stress, o (MPa) Stress, a (MPa)arrow_forward
- 5. Consider a single crystal of some hypothetical metal that has the FCC crystal structure and is oriented such that a tensile stress is applied along a [102] direction. If slip occurs on a (111) plane and in a [101] direction, compute the stress at which the crystal yields if its critical resolved shear stress is 3.42 MPa.arrow_forwardThe diagram below shows a microscopic metal rod with a single crystal structure whose orientation is indicated by the inset. A force of F = 14.9 N is applied to the rod. The cross-sectional area is 1.1 mm². Calculate the shear stress along the close-packed direction. Dogo ooooo a. 4.65 MPa O b. 6.08 MPa c. 5.09 MPa O d. 4.04 MPa O e. 5.53 MPaarrow_forward3. 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?arrow_forward
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