Steel Design (Activate Learning with these NEW titles from Engineering!)
6th Edition
ISBN: 9781337094740
Author: Segui, William T.
Publisher: Cengage Learning
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Chapter 1, 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 rectangular block shown in Figure is subjected to tension within the elastic range. The increase in the length of a is 2 * 10-3in. and the contraction of b is 3.25 * 10-4 in. If the original lengths of a and b were 2 in. and 1 in., respectively, what is Poisson’s ratio for the material of the specimen?
In a tensile test for an aluminum alloy, the sample used is 2 inches long and 0.5 inches in diameter. The proportional portion of the tension stress-strain diagram for an aluminum alloy is shown below.
Determine the modulus of elasticity for this material: ____x106 lb/in2.
Pay attention to units and calculate your answer to 1 decimal place for the unit specified above.
A specimen is originally 300 mm long, has a diameter of 12 mm, and is subjected to a force of 2.4 kN. When the force is increased from 2.4 kN to 9 kN, the specimen elongates 0.250 mm.
Determine the modulus of elasticity for the material if it remains linear elastic.
Express your answer to three significant figures and include the appropriate units.
Chapter 1 Solutions
Steel Design (Activate Learning with these NEW titles from Engineering!)
Ch. 1 - Prob. 1.5.1PCh. 1 - A tensile test was performed on a metal specimen...Ch. 1 - A tensile test was performed on a metal specimen...Ch. 1 - A tensile test was performed on a metal specimen...Ch. 1 - The results of a tensile test are shown in Table...Ch. 1 - The data in Table 1.5.3 were obtained from a...
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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.arrow_forwardA tension test performed on a metal specimen to fracture produced the stress– strain relationship shown in Figure P1.14. Graphically determine the following (show units and all work): a. Modulus of elasticity within the linear portion. b. Yield stress at an offset strain of 0.002 m/m. c. Yield stress at an extension strain of 0.005 m/m. d. Secant modulus at a stress of 525 MPa. e. Tangent modulus at a stress of 525 MPa.arrow_forwardTo stretch a 200 mm long tensile test specimen (a) of steel elastically by 0.08 mm. How many loads do I need to apply? (b) What is the maximum length of this sample without plastic deformation? How long can it be extended? (The modulus of elasticity of steel is 210 GPa, yield strength 580 MPa, tensile strength 920 MPa specified as.arrow_forward
- Question 2:A specimen is originally 300 mm long, has a diameter of 12 mm, and is subjected to a forceof 2.5 kN. When the force is increased from 2.5 kN to 9 kN, the specimen elongates 0.225mm. Determine the modulus of elasticity for the material if it remains linear elastic.arrow_forwardThe 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.arrow_forwardConsider a cylindrical metal 6 mm in diameter and 50 mm long ispulled in tension. It is known that yield strength and elastic (Young’s) Modulus of thematerial are 200 MPa and 100 GPa, respectively, and its Poisson’s Ratio is 0.3.(a) Determine whether the deformation is elastic or plastic when 6000 N is applied.(b) Calculate specimen elongation (∆l) and reduction in diameter (∆d) when 5000 N isapplied? What are the values ∆l and ∆d when the load is released?(c) If necking occurs at a load of 8850 N, determine the UTS of the metal.(d) Calculate the ductility in terms of % E.L. if the length of the specimen at fracturepoint is 56.0 mm.arrow_forward
- An arbitrary material has an elastic modulus of 118 GPa. How much tensile force was applied to a 100 mm-long cylindrical bar that was originally 10 mm in diameter to reduce the area by 0.1%? (NOTE: The material has a Poisson’s ratio of 0.29)arrow_forwardA steel rod, 12mm in diameter and 150mm long was subjected to a tensile test. After the test, the length increases to 150.40mm. The material remains within the linear elastic region and its modulus of elasticity is 200,000 MPa. Determine the force, in Newton (N), applied to the test.arrow_forwardA model of reinforcing steel bars, which was given a tensile strength of 45150 N, elongated by 2.1 mm, cross-strain was 0.00056, boson ratio 0.32 and modulus of elasticity 200000MPa. Find the original length and cross-sectional area of the model, assuming that the stress did not exceed the elastic limit.arrow_forward
- A tensile test was performed on a metal specimen having a circular cross section with a diameter of 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 1.1.a. Prepare a table of stress and strainb. 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 lineLoad (Ib)Strain × 106 (in./in.)0025037.150070.31000129.11500230.12000259.42500372.43000457.73500586.5arrow_forwardThe 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.arrow_forwardA tension test performed on a metal specimen to fracture produced the stress-strain relationship shown in Figure. Graphically determine the following (show units and all work):a. Modulus of elasticity within the linear portion.b. Yield stress at an offset strain of 0.002 in./in.c. Yield stress at an extension strain of 0.005 in/in.d. Secant modulus at a stress of 62 ksi.e. Tangent modulus at a stress of 65 ksi.arrow_forward
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