9. Consider a metal rod, whose grain size can be adjusted by different processing techniques.The graph below shows how the yield stress changes with grain size d; the x-axis islogarithmic.The curve reaches a limiting value of 60 MPa as indicated by the horizontal dashed line on the y-axis,for very large grain sizes. Also, you are given the information that at d = 25 microns (vertical dashedline), the yield stress is 100 MPa.Using this information, what will be the yield stress at d = 5 microns? Select the closest numericalvalue.Use the Hall-Petch relation in working out your answer.Yield stress (MPa)●●228882S1301201101006010⁰10¹10²Grain size d (microns)132.4 MPa149.4 MPa165.2 MPa156.3 MPa10

The Hall Petch equation is given by the formula.σ=σ0+k/dDetermine the constant (k) based on the…

Answered: The curve reaches a limiting value of…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

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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.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
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?
4. The average grain diameter for a brass material was measured as a function of time at T, which is tabulated below at two different times: Time (min) Grain Diameter (mm) 30 90 3.9 × 10-2 6.6 × 10-2 (a) What was the original grain diameter (using n=2)? (b) What grain diameter would you predict after time, t, at temperature, T? Use T = 650 °C; t = 150 min; n = 2 in the grain size equation
Consider an iron single crystal with CCC crystal structure oriented in such a way that a tensile stress is applied to the along one direction [010]. a) Calculate the shear stress resolved along a plane (110) and a direction when a tensile stress of 52 MPa is applied. The normal to the slip plane forms 45° with traction direction. the direction of slip forms 55º with the traction direction. b) If the slip occurs in one plane (110) and in one direction and the critical resolved shear stress is 30 MPa, calculate the magnitude of tensile stress that must be applied to initiate the flow.
The 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.
You are given three metal test samples, with the same chemical composition and differing grain sizes: A: 5.0, B: 10.0 and C: 20.0 microns. Samples A and B have been tested and have yield stresses of 142.4 MPa and 135.8 MPa (all numbers are rounded off to the 1st decimal point). Based on this information, which of the following values do you think will be the closest to the yield stress of Sample C? In calculating the answer, use the Hall-Petch relation between yield stress of a metal o vield and the grain size of the metal d, which is Oyield = 00 + kd¬1/2 where k and og are constants. (This question has only one correct answer) а. 100.6 MPa b. 131.1 MPa С. 152.4 MPa O d. 115.8 MPa е. 128.1 MPa
You are given three metal test samples, with the same chemical composition and differing grain sizes: A: 5.0, B: 10.0 and C: 20.0 microns. Samples A and B have been tested and have yield stresses of 142.4 MPa and 135.8 MPa (all numbers are rounded off to the 1st decimal point). Based on this information, which of the following values do you think will be the closest to the yield stress of Sample C? In calculating the answer, use the Hall-Petch relation between yield stress of a metal ovield and the grain size of the metal d, which is Oyield = 00 + kd¯1/2 where k and og are constants. (This question has only one correct answer) a. 128.1 MPa O b. 115.8 MPa О с. 100.6 MPa O d. 131.1 MPa Ое. 152.4 MPa
To provide some perspective on the dimensions of atomic defects, consider a metal specimen that has a dislocation density of 104 mm-2. Suppose that all the dislocations in 1000 mm3 (1 cm3) were somehow removed and linked end to end. How far (in miles) would this chain extend? Now suppose that the density is increased to 1010 mm-2 by cold working. What would be the chain length of dislocations in 1000 mm3 of material?
The effect of temperature on the crystallization of a material is given below. Calculate the transformation rate (min-1) at 130°C . Round your result to 2 decimal place.
Sometimes, in the equation for resolved shear stress in a single crystal, the term cos cos is termed the Schmid factor. Determine the magnitude of the Schmid factor for an FCC single crystal oriented with its [100] direction parallel to the loading axis.
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