Two bars are made from different materials namely Material X and Material Y. Each sample has an equivalent cross-sectional area (A) before the samples are subjected to force of equal magnitude (P). Under the tensile test, a tension force (P) is applied to the materials until it fails or breaks as illustrated in Figure 2. i) Sketch the stress – strain relationship for Material X and Material Y under the tensile test from initial loads to final loads. i) Describe the type of Material X and Material Y by using the answer in (i). P P P Material X Material Y

Two bars are made from different materials namely Material X and Material Y. Each sample has an equivalent cross-sectional area (A) before the samples are subjected to force of equal magnitude (P). Under the tensile test, a tension force (P) is applied to the materials until it fails or breaks as illustrated in Figure 2. i) Sketch the stress – strain relationship for Material X and Material Y under the tensile test from initial loads to final loads. i) Describe the type of Material X and Material Y by using the answer in (i). P P P Material X Material Y

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 1.5.6P: The data in Table 1.5.3 were obtained from a tensile test of a metal specimen with a rectangular...

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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 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.
Compare the engineering and true secant elastic moduli for the natural rubber in Example Problem 6.2 at an engineering strain of 6.0. Assume that the deformation is all elastic.
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 tension test is being conducted on a steel-rod specimen with a gauge length of L0=2 in and initial diameter of d0=0.5 in. Data were collected to form the conventional stress-strain diagram as shown. From the diagram, f = 74.0 ksi, e = 104.0 ksi , g = 85.0 ksi , and h = 0.15 in/in. Assuming that the strain remains constant throughout the region between the gauge points, determine the nominal strain ε experienced by the rod if it is elongated to L = 2.7 in . Assuming that the stress is constant over the cross-sectional area and if the tension force used is P = 11.0 kips, find the nominal stress experienced by the rod. Determine the force P needed to reach the ultimate stress in the steel-rod specimen.
The results of a tensile test are shown in Table 1.5.2. The test was performed on a metal specimen with a circular cross section. The diameter was 3⁄8 inch and the gage length (the length over which the elongation is measured) was 2 inches. a. Use the data in Table 1.5.2 to produce a table of stress and strain values. b. Plot the stress–strain data and draw a best-fit curve. c. Compute the modulus of elasticity from the initial slope of the curve. d. Estimate the yield stress
Consider a bar with a rectangular cross-section area with a thickness of t = 0.5 in. and height of h = 3.5 in. When force P = 19 kips is applied to the bar, the strain gages attached to the surface of the bar reads εx = 740 µε along the direction of the force and εy = -170 µε in the perpendicular direction. Determine Poisson's ratio for this specimen? Determine the modulus of elasticity for this specimen?in Ksi
The data shown in the table were obtained from a tensile test of a metal specimen with a rectangular cross-section of 0.2 in.? in area and a gage length (the length over which the elongation is measured) of 2.000 inches. 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.
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The tensile test was conducted on a specimen with a diameter of 0.5 inch. A strain gage was bonded to the specimen so that the strain could be obtained directly. The following data were obtained. a) create a table of stress and strain values. Plot this data points and draw the best fit straight line through them. b) what is the slope of this line? What does this value represent?
A steel wire with a diameter of d = 1/16” is bent around a cylindrical drum with a radius ofR = 36”.(a) Determine the maximum normal strain in the wire.(b) What is the minimum acceptable radius of the drum if the maximum normal strain mustremain below yield? Consider an elastic modulus of 30000 ksi and yield stress of 100ksi.(c) If R = 36”, what is the maximum acceptable diameter of the wire if the maximum normalstrain must remain below yield?
a) A tension test was carried out for a specimen having 610 mm in length and an average diameter of 12.80 mm. The test was conducted until the specimen failed. The data record from a tensile test for the specimen is given in Table 1. A 50 mm gauge length was marked on the specimen before load applied.Referring to the data in Table 1;i) Plot a stress-strain diagram by using a scale of 1:0.02 mm/mm for the x-axis and 1:40 MPa for the y-axis. Redraw the elastic region by using a strain scale of 1:0.004 min/mm.ii) Determine the approximate modulus of elasticity, ultimate stress, and the yield strength of this material at 0.20% offset.iii) Calculate the modulus of toughness.iv) Calculate the final length of the specimen, if the specimen elongated about 26.78%.v) Calculate the percentage of reduction of area and the final diameter at breakage, if the cross-section area decreases to 105.13 mm2