STEEL DESIGN W/ ACCESS
6th Edition
ISBN: 9781337761499
Author: Segui
Publisher: CENGAGE L
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Chapter 1, Problem 1.5.4P
A tensile test was performed on a metal specimen with a diameter of
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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
29.106
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?
In a standard tensile test, an aluminum rod of 20-mm diameter is subjected to a tension force of
P = 30 kN. Knowing that E = 70 GPa, and the change in diameter of the rod= 0.00955 mm,
determine the poissons' ratio v.
-20-mm diameter
gage length=150 mm
Chapter 1 Solutions
STEEL DESIGN W/ ACCESS
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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- 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 abovearrow_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_forward3. A new material is being developed and tested in the lab. The column was made using the new material and was loaded to a constant axial stress of 25 MPa. The deformation is monitored over time according to the following table. The deformation is measured over a length of 250 mm. First sketch strain-time curve and describe the model. Second, determine the elastic modulus and the viscose coefficient. Time (days) Stress (MPa) Deformation (mm) 25 0.6250 1 25 0.6281 25 0.6313 3. 25 0.6344 7 25 0.6469 28 25 0.7125 180 25 1.1875 365 25 1.7656arrow_forward
- The piece of wood shown below was used in an experiment. During the test it sheared parallel to the wood grain along the dashed line. Determine the average shear stress on that failure plane for a maximum load of P = 1000 lb. The dimensions of the wooden specimen are t = 2.0 in. and L = 4 in. P Answer: L Average shear stress = i P t psiarrow_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 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.arrow_forward500 MPa b 0.006 120 KN 100 mm b) Determine the rod's new length under this load c) Determine the rod's new diameter under this load 20 mm 120 kN A rod 100 mm long with a diameter of 20 mm is subject to 120 kN of tension as shown, alongside with the stress-strain curve of its material. Assume a Poisson's ratio of 0.35. a) For the given load condition, is the rod behaving elastically or plastically? Explain your reasoning The tensile load is now removed, and the ends are now subject to a shear force of 10 KN in the same plane as the cross-section (i.e., the force is acting "horizontally"). Assume elastic behavior. d) Determine the shear strain resulting from this shear force (ignoring any bending effects) e) What is the horizontal displacement of one end of the rod relative to the other end under this shear force?arrow_forward
- Take o,= 120 kPa and o, = 630 kPa Determine the equivalent state of stress on an element at the same point that represents the maximum in-plane shear stress at the point. (Figure 1) Figure K 1 of 1 Oy 400 kPa Part A Find the value of Tmax in-plane- Express your answer to three significant figures and include the appropriate units. µA Tmax in plane = Value Units Submit Request Answer Part B Find the value of oavg Express your answer to three significant figures and include the appropriate units.arrow_forwardThe polymer bar shown in the figure below has a width of b = 59 mm, a depth of d = 90 mm, and a height of h = 258 mm. At a compressive load of P = 120 kN, the bar height contracts by Ah = -2.40 mm, and the bar depth elongates by Ad = 0.37 mm. At this load, the stress in the polymer bar is less than its proportional limit. Determine: (a) the modulus of elasticity. (b) Poisson's ratio. (c) the change in the bar width b. P Rigid plate (a) E = i (b) v = (c) Δb = i i GPa mm b h Rigid basearrow_forward1.16 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_forward
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