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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Textbook Question
Chapter 1, Problem 1.5.6P
The data in Table 1.5.3 were obtained from a tensile test of a metal specimen with a rectangular cross section of
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
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During a tension test, measurements for the applied load and the corresponding elongation are taken at frequent intervals. These data points are then used to:
a. calculate the stress caused by the applied load at each data point.
b. calculate the strain in the specimen induced by the applied load at each data point.
c. plot a stress-strain diagram.
d. all of the above
1.5-6
The data shown in the table were obtained from a tensile test of a metal specimen with
a diameter of 0.500 inch and a gage length (the length over which the elongation is
measured) of 2.00 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. Use the slope of the best-fit line to estimate the modulus of elasticity.
Load (kips)
PI223 SIN
0
2.5
3.5
10
11.5
12
Elongation (in.)
0
0.0010
0.0014
0.0020
0.0024
0.0036
0.0044
0.0050
0.0060
0.0070
0.0080
0.0120
0.0180
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
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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- 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. d. Estimate the value of the proportional limit. e. Use the 0.2% offset method to determine the yield stress. Load (kips) 0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0 4.5 5.0 ܩܙ ܘ 5.5 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 29.106arrow_forwardThe (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?arrow_forwardAn aluminium specimen with an initial gauge diameter d, = 10 mm and gauge length, 1, = 100 mm is %3D subjected to tension test. A tensile force P= 50 kN is applied at the ends of the specimen as shown, resulting in an elongation of 1 mm in gauge length. The Poisson's ratio (µ) of the specimen is Take shear modulus of material, G = 25 GPa. Consider engineering stress-strain conditions. Parrow_forward
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- 1.16 The stress-strain relationship shown in Figure P1.16 was obtained during the tensile test of an aluminum alloy specimen. 60,000 H Stress, psi 40,000 20,000 0 Figure P1.16 0.002 0.004 0.006 0.008 Strain, in./in. Determine the following: a. Young's modulus within the linear portion. b. Tangent modulus at a stress of 45,000 psi 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? 4arrow_forwardThe 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 stressarrow_forward2.31 A uniaxial test was performed on a bone specimen having a central (gauge) region initially 6 mm long and 2 mm in diameter. Five data points were recorded: Axial force (N) 94 190 284 376 440 Change in length (mm) 0.009 0.018 0.027 0.050 0.094 Plot the associated stress-strain relation, calculate a Young's modulus, and show that the yield stress is ~118 MPa. Recall that the yield stress reveals the transition from elastic to plastic (cf. Fig. 2.25). Data from Özkaya and Nordin (1999).arrow_forward
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