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

Section: Chapter Questions

Problem 1.1MA

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= Calculate five factors from stress strain curve for polybutadiene? Strees 0.045 0.04 0.035 0.03 0.025 0.02 0.015 0.01 0.005 0 0 10 20 30 Strain 40 50 60
The diagram below shows a microscopic metal rod with a single crystal structure whose orientation is indicated by the inset. A force of F = 25.8 N is applied to the rod. The cross-sectional area is 1.9 mm². Calculate the shear stress along the close-packed direction. O a. 5.10 MPa O b. 6.10 MPa c. 4.66 MPa O d. 5.54 MPa Oe. 4.05 MPa
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.
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The yield strength for an alloy that has an average grain diameter of 5.9 x 10-2 mm is 148 MPa. At a grain diameter of 7.8 × 10-³ mm, the yield strength increases to 233 MPa. At what grain diameter, in mm, will the yield strength be 247 MPa? d = i mm
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
A structural beam is built from steel with a yield strength of 345 MPa. The structure has a minimum service temperature of 5 oC, where the fracture toughness of the steel KIC = 60 MPam. What is the minimum surface crack lengths that must be detected by quality control to ensure that the full yield strength of the steel is available in the beam? Assume geometric parameter Y = 1 and plain strain conditions. Answer in millimeters.
= Calculate five factors from stress strain curve for polybutadiene? Strees 0.045 0.04 0.035 0.03 0.025 0.02 0.015 0.01 0.005 0 0 10 20 30 Strain 40 50 60
The yield strength for an alloy that has an average grain diameter of 4.6 x 10-2 mm is 105 MPa. At a grain diameter of 7.7 × 103 mm, the yield strength increases to 248 MPa. At what grain diameter, in mm, will the yield strength be 234 MPa? d = i mm
Problem 5. Starting with a 2-inch diameter rod of brass, we would like to process 0.2-inch diameter rods that possess minimum yield strength of 40 ksi and a minimum elongation to fracture of 40%, (see the following figure). Design a process that achieves that. 120 70% Cu-30% Zn 100 Tensile strength 80 60 60 Yield strength 40 40 20 20 Elongation 10 20 30 40 50 60 Percent cold work Tensile strength and yield strength (ksi) Elongation percent
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
= Calculate five factors from stress strain curve for polybutadiene? Strees 0.045 0.04 0.035 0.03 0.025 0.02 0.015 0.01 0.005 0 0 10 20 30 Strain 40 50 60

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