The (G-E) diagram obtained in the tensile test performed on a metal sample with a diameter of 16 mm is as follows. The loads at points A, B and C and the elongation measured on 1.-16 cm gauge length were determined as follows: B A H ABC с Load (kgf) 4800 8400 7200 Elongation (mm) 0.192 28.8 38.4 a) Calculate the proportionality limit, modulus of elasticity, tensile strength, maximum uniform elongation, and contraction-elongation ratio of the metal. b) Since the measured diameter of the metal at break is 12 mm, find the constriction ratio and the actual stress at break.

The (G-E) diagram obtained in the tensile test performed on a metal sample with a diameter of 16 mm is as follows. The loads at points A, B and C and the elongation measured on 1.-16 cm gauge length were determined as follows: B A H ABC с Load (kgf) 4800 8400 7200 Elongation (mm) 0.192 28.8 38.4 a) Calculate the proportionality limit, modulus of elasticity, tensile strength, maximum uniform elongation, and contraction-elongation ratio of the metal. b) Since the measured diameter of the metal at break is 12 mm, find the constriction ratio and the actual stress at break.

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 1.5.2P: A tensile test was performed on a metal specimen having a circular cross section with a diameter of...

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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 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 (G-E) diagram obtained in the tensile test performed on a metal sample with a diameter of 16 mm is as follows. The loads at points A, B and C and the elongation measured on l. 16 cm gauge length were determined as follows: B A B C Load (kgf) 4800 8400 7200 Elongation (mm) 0.192 28.8 38.4 c) Calculate the fracture work and the maximum elastic energy the metal rod can store. d) Find the cross-sectional area of a 6 m long rod made of this metal such that it can carry 12 tons of load with 2 times the safety of yield strength. How long does the rod extend under this load?
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The stress-strain relationship shown in Figure P1.13 was obtained during the tensile test of an aluminum alloy specimen. Determine the following: a. Young's modulus within the linear portion b. Tangent modulus at a stress of 310 MPa c. Yield stress using an offset of 0.002 strain d. If the yield stress in part c is considered failure stress, what is the maximum working stress to be applied to this material if a factor of safety of 1.5 is used? 450 300 150 0.002 0.004 0.006 0.008 Strain, m/m FIGURE P1.13 Stress, MPa
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 data 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 y∆L 5 1392 kips yin. What is the modulus of elasticity?
1.5-7 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.² 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. Load (kips) 0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0 4.5 5.0 5.5 50 6.0 6.5 Elongation × 10³ (in.) 0 0.160 0.352 0.706 1.012 1.434 1.712 1.986 2.286 2.612 2.938 3.274 3.632 3.976 Load (kips) 7.0 7.5 8.0 8.5 9.0 9.5 10.0 10.5 11.0 11.5 12.0 12.5 13 Elongation × 10³ (in.) 4.386 4.640 4.988 5.432 5.862 6.362 7.304 8.072 9.044 11.310 14.120 20.044 29.106
A tensile test was performed on a metal specimen having a circular cross section with a diameter of 1/2 inch. the gage lenght ( the lenght over which the elongation is measured ) is 2 inches. for a load 13.5 kips, the elongation was 4.66x10^-3 inches. if the load is assumed to be with in the linear elastic range of the material , determine the modulus of elasticity
2.7 The following readings were recorded during a tensile test of a mild steel specimen 24 mm wide by 10 mm thick and with a gauge length of 200 mm. Force (kN) 16 32 48 64 68 72 76 79 Elongation (mm) 0,066 0,133 0,198 0,264 0,281 0,304 0,355 1,125 Force (kN) 76,8 83,7 103,8 111 112,8 108 96 Elongation (mm) 3,75 6,66 15,00 25,00 36,5 45,0 50,0 The test piece fractured at a 50-mm elongation. Plot the load-extension dia- gram using the following scales: 10 divisions on the x-axis = 5-mm exten- sion; 10 divisions on the y-axis = 10 kN. On the same graph paper and using the scale 10 divisions on x-axis = 0,5-mm extension, and 10 divisions on y-axis = 10 kN, replot the elastic portion of the graph. Using the graphs, determine the (a) modulus of elasticity for mild steel; (b) yield stress; (c) ultimate tensile stress; and (d) percentage elongation.
A steel specimen of 300 mm length and 30 mm diameter is subjected to tensile test in a computerizedUTM. Under 54 kN of tensile load, the final length and diameter are observed as 300.112 mm and29.99634 mm respectively. Calculate (a) the Poission’s ratio and (b) the values of three moduli.
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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