(a) The influence of grain size on the yield strength of a Cu-20Zn brass is shown in Table Q3.a. 1. il. Table Q3.a. Variation of Yield stress, dy, with grain diameter, d, for Cu-20Zn brass d [mm] dy [MPa] 30 55 85 127 160 190 1.00 0.111 0.0275 0.0123 0.00704 0.00444 Plot a suitable graph and describe the relationship between grain size and yield strength with a suitable equation. From your graph, calculate values for do (resistance of the lattice to dislocation motion) and ky (the strengthening coefficient). Hence calculate the stress at a grain size of 50 µm.

(a) The influence of grain size on the yield strength of a Cu-20Zn brass is shown in Table Q3.a. 1. il. Table Q3.a. Variation of Yield stress, dy, with grain diameter, d, for Cu-20Zn brass d [mm] dy [MPa] 30 55 85 127 160 190 1.00 0.111 0.0275 0.0123 0.00704 0.00444 Plot a suitable graph and describe the relationship between grain size and yield strength with a suitable equation. From your graph, calculate values for do (resistance of the lattice to dislocation motion) and ky (the strengthening coefficient). Hence calculate the stress at a grain size of 50 µm.

Steel Design (Activate Learning with these NEW titles from Engineering!)

6th Edition

ISBN:9781337094740

Author:Segui, William T.

Publisher:Segui, William T.

Chapter1: Introduction

Section: Chapter Questions

Problem 1.5.4P: A tensile test was performed on a metal specimen with a diameter of 1 2 inch and a gage length (the...

See similar textbooks

Similar questions

A tensile test was performed on a metal specimen having a circular cross section with a diameter of 1 2 inch. The gage length (the length over which the elongation is measured) is 2 inches. For a load 13.5 kips, the elongation was 4.6610 3 inches. If the load is assumed to be within the linear elastic rang: of the material, determine the modulus of elasticity.
The data in Table 1.5.3 were obtained from a tensile test of a metal specimen with a rectangular cross section of 0.2011in.2 in area and a gage length (the length over which the elongation is measured) of 2.000 inches. The specimen was not loaded to failure. a. Generate a table of stress and strain values. b. Plot these values and draw a best-fit line to obtain a stress-strain curve. c. Determine the modulus of elasticity from the slope of the linear portion of the curve. d. Estimate the value of the proportional limit. e. Use the 0.2 offset method to determine the yield stress.
A tensile test was performed on a metal specimen with a diameter of 1 2 inch and a gage length (the length over which the elongation is measured) of 4 inches. The dam were plotted on a load-displacement graph. P vs. L. A best-fit line was drawn through the points, and the slope of the straight-line portion was calculated to be P/L =1392 kips/in. What is the modulus of elasticity?
A tensile test was performed on a metal specimen having a circular cross section with a diameter 0. 510 inch. For each increment of load applied, the strain was directly determined by means of a strain gage attached to the specimen. The results are, shown in Table: 1.5.1. a. Prepare a table of stress and strain. b. Plot these data to obtain a stress-strain curve. Do not connect the data points; draw a best-fit straight line through them. c. Determine the modulus of elasticity as the slope of the best-fit line.
1. Titanium alloy with an elastic modulus of 107 GPa (15.5 x 106 psi) and an initial diameter of 3.8 mm (0.15 in. ), only elastic deformation occurs. If the maximum permissible elongation is 0.42 mm, find the specimen's maximum length before deformation (0.0165 in.) 2.) With a load of 89,000 N (20,000 lbf), a steel bar 100 mm (4.0 in.) long with a square cross section 20 mm (0.8 in.) on one edge is pulled in tension and undergoes an elongation of 0.10 mm (4.0 103 in.). Calculate the steel's elastic modulus, assuming the deformation is fully elastic. Please indicate the given sir. Thanks alot…
Zhpe Outine lece Select 834 Anange Oick Create wnd Shane Adobe PO Adite A SydesO upe iects tere Ding teting 1. (a) A tension test was performed on a magnesium alloy specimen having a diameter 12 mm and gauge 50 mm. The resulting stress-strain diagram is shown figure. Determine the approximate modulus of elastic and the yield strength of the alloy using the 0.2% offset method. (MPa) 280 245 (b) A tension test was performed on a magnesium specimen having a diameter 12 mm and gauge 1ength of 50 mm. The resulting stress-strain diagram is shown in the figure. If the specimen is stressed to 210 MPa and unloaded, determine the permanent elongation of the 210 175 140 specimen 105 70 35 (me 0.002 0.004 0.006 0.008 0.010 ANates
A specimen of steel 20 mm diameter with a gauge length of 200 mm is tested to destruction. It has an extension of 0.25 mm under a load of 80 kN and the load at elastic limit is 102 kN. The maximum load is 130 kN. The total extension at fracture is 56 mm and diameter at neck is 15 mm. Find . The stress at elastic limit. • Young's modulus. . Percentage elongation. Percentage reduction in area. Ultimate tensile stress. .
Show Stress/ strain curve for nitinol and steel (2 separate charts please)
Please present FBD/s A tensile test is performed on a brass specimen 10mm in diameter using a gage lenght of 50mm. When the tensile load P reaches a valule of 20kN, the distance between the gage marks has increased by 0.122mm. What is the modulus of elasticitiy of the brass?
For a tensile test it can be shown that the percent cold work (%CW) is related to strain according to the following relationship: %CW = () × 100 E+1 Using this equation, compute the percent cold work experienced by naval brass (for which the stress-strain behavior is shown in the Animated Figure 6.12) when a stress of 400 MPa (58020 psi) is applied. %CW
Q2c) Listed in the table below is the tensile stress-strain data for different grades of steels. Utilizing the data given answer the three queries given below. Material Yield Tensile Strain at Fracture Elastic StrengthStrengthFractureStrengthModulus (MPa) (MPa) (MPa) (GPa) A 410 1440 0.63 265 410 В 200 220 0.40 105 250 C 815 950 0.25 500 610 D 800 650 0.14 720 210 E Fractures before yielding 650 550 1) Which will experience the greatest percent reduction in area? Why? 2) Which is the strongest? Why? 3) Which is the stiffest? Why?
Sketch the stress–strain behavior of steel, and identify different levels of strength. What is a typical value for yield strength of mild steel? What is theeffect of increasing the carbon content in steel on each of the each of thefollowing items?a. Yield strengthb. Modulus of elasticityc. Ductility