Engineering Fundamentals: An Introduction to Engineering (MindTap Course List)
5th Edition
ISBN: 9781305084766
Author: Saeed Moaveni
Publisher: Cengage Learning
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Textbook Question
Chapter 7, Problem 43P
A 10 cm long rectangular bar (when subjected to a tensile load) deforms by 0.1 mm. Calculate the normal strain.
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2. Given that a steel cylinder of dimenslons 12.0 mm in dlameter and 70 mm long is subjected to
tensicn.
(a) Determine the modulus of elasticity in the figure below.
(b) Using the figure below, calculate the deformation in the steel cylinder subjected to 15 kN
tension for ce.
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0.004
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Stress (MPa)
Stress (MPa)
A cylindrical bar of steel 9.9 mm (0.3898 in.) in diameter is to be deformed elastically by application of a force along the bar axis.
Determine the force that will produce an elastic reduction of 3.0×10-3 mm (1.181 ×10-4 in.) in the diameter. For steel, values for the
elastic modulus (E) and Poisson's ratio (v) are, respectively, 207 GPa and 0.30.
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N
Determine the modulus of Elasticity E for a material
that has proportional stress of 100 MPa and
proportional strain of 0.001.
Select one:
a. 1 GPa
b. 100 GPa
C. 0.1 MPa
d. 1000 kPa
Chapter 7 Solutions
Engineering Fundamentals: An Introduction to Engineering (MindTap Course List)
Ch. 7.2 - Prob. 1BYGCh. 7.2 - Prob. 2BYGCh. 7.2 - Prob. 3BYGCh. 7.2 - Prob. 4BYGCh. 7.2 - Prob. 5BYGCh. 7.2 - What does strain represent?Ch. 7.2 - Prob. BYGVCh. 7.5 - Prob. 1BYGCh. 7.5 - Describe two different methods that you can use to...Ch. 7.5 - Prob. 3BYG
Ch. 7.5 - Prob. 4BYGCh. 7.5 - Prob. 5BYGCh. 7.5 - Prob. BYGVCh. 7 - Prob. 1PCh. 7 - Prob. 2PCh. 7 - Prob. 3PCh. 7 - Prob. 4PCh. 7 - Prob. 5PCh. 7 - Prob. 6PCh. 7 - Prob. 7PCh. 7 - Prob. 8PCh. 7 - Prob. 9PCh. 7 - Prob. 10PCh. 7 - Investigate the diameter of the electrical wire...Ch. 7 - Prob. 12PCh. 7 - Prob. 13PCh. 7 - Prob. 15PCh. 7 - Prob. 17PCh. 7 - Using area as your variable, suggest ways to cool...Ch. 7 - Prob. 19PCh. 7 - Prob. 20PCh. 7 - Prob. 21PCh. 7 - Prob. 22PCh. 7 - Prob. 23PCh. 7 - Prob. 24PCh. 7 - Prob. 25PCh. 7 - Prob. 26PCh. 7 - Prob. 27PCh. 7 - Prob. 28PCh. 7 - Prob. 30PCh. 7 - Prob. 31PCh. 7 - Prob. 32PCh. 7 - Prob. 33PCh. 7 - Prob. 34PCh. 7 - Prob. 35PCh. 7 - Prob. 36PCh. 7 - Prob. 37PCh. 7 - Prob. 38PCh. 7 - Prob. 39PCh. 7 - Prob. 40PCh. 7 - Prob. 41PCh. 7 - Prob. 42PCh. 7 - A 10 cm long rectangular bar (when subjected to a...Ch. 7 - Prob. 44PCh. 7 - Prob. 45PCh. 7 - Prob. 46PCh. 7 - Prob. 47PCh. 7 - Prob. 48PCh. 7 - Prob. 49PCh. 7 - Prob. 50P
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- A homogenous steel rod has a diameter of 1.5 inches. When a load is applied, it deformed to about 0.045 inches. If the length of the rod is 6 ft and the modulus of elasticity is E=29x10^6 psi. Determine the force applied in kilopounds (kips).arrow_forwardA cylindrical bar of aluminum 1.75 in diameter is to be deformed elastically by application of a force along the bar axis. Determine the force that produces an elastic reduction of 5.0x10-3 mm in the diameter.arrow_forwardDuring laboratory testing of an 8-inch aluminum-alloy rod with a cross sectional area of 0.32in, a tensile load of 40,000 lbs.is applied. If the cross sectional area decreases to 0.3188in and lengthens to 8.021 inches, what is the Modulus of Elasticity and Poisson's Ratio? 29. E= 6/8 v =-ɛ(lateral)/E(axial)arrow_forward
- A bar of diameter 30 mm is subjected to a tensile Load such that the measured extension on a gauge length of 200 mm is 0.09 mm and the change in diameter is 0.0045 mm. Calculate the Poisson Ratio:arrow_forwardThe data shown in the following table are from a tensile test of high-strength steel. TENSILE-TEST DATA Load (lb) Elongation (in.) 1,000 0.0002 2,000 0.0006 6,000 0.0019 10,000 0.0033 12,000 0.0039 12,900 0.0043 13,400 0.0047 13,600 0.0054 13,800 0.0063 14,000 0.0090 14,400 0.0102 15,200 0.0130 16,800 0.0230 18,400 0.0336 20,000 0.0507 22,400 0.1108 22,600 Fracture The test specimen has a diameter of 0.505 in. and a gage length of 2.00 in. (see figure). Gage length P At fracture, the elongation between the gage marks is 0.12 in. and the minimum diameter is 0.42 in. Plot the conventional stress-strain curve for the steel. (Submit a file with a maximum size of 1 MB.) Choose File No file chosen This answer has not been graded yet. Determine the proportional limit, modulus of elasticity (the slope of the initial part of the stress-strain curve), yield stress at 0.1% offset, ultimate stress, percent elongation in 2.00 in. (at fracture), and percent reduction in area (at fracture). (Enter…arrow_forward7. A 3000 kgf tensile load is applied on a steel bar of 3.25 cm diameter. When the same load is applied to an aluminum bar, it is found to give the same elastic strain. Esteel = 2.1x10° kgf/cm? and Eal = 0.7 x10° kgf/cm?. Calculate the diameter of aluminum bar.arrow_forward
- A steel rod has a length of 4 ft, and a diameter of 3 inches. Determine the amount of stress in the rod due to a tension force of 5,000 lb. What is the longitudinal strain in the dod? The modulus of elasticity is E= 30 x 106 psi.arrow_forward1 - An aluminum plate is subjected to uniform stress along its boundaries, as shown in the figure. Determine the change of length of diagonal BD. 120mm 120 MPa 160mm C B V 100MPa -200 MPa E-80GPa ✓=0.3 G=30MPaarrow_forwardSOM 2. Show your complete solution. ( I know the answers but I need the detailed solution) Given answers: Axial Stress of Copper= 1770.791 psi Axial Stress of Steel = 2956.655 psi Axial Stress of Brass = 1577.946 psiarrow_forward
- 4.20 A cylindrical aluminum alloy rod with a 0.5 in. diameter is subjected to ten- sion. Determine the magnitude of the load required to produce a 10 in. change in diameter if the deformation is entirely elastic. Assume a Young's modulus of 11 X 106 psi and a Poisson's ratio of 0.33.arrow_forwardA 20-ft wrought iron bar that is ½ inch in diameter is subjected to a tensile force of 3 kips. Determine the a) stress in psi, b) elongation of the bar in inches, and c) strain. The modulus of elasticity of wrought iron E = 29 x 103 ksi.arrow_forwardDetermine the following for the bar. A) B) C) D) σ, ksi 100 ksi 80 ksi T, ksi 40 ksi What is the Modulus of Elasticity for the material of the bar. What tensile force will cause the bar to yield? What will be the length of the bar after a 540 kip force is applied? What will be the cross sectional dimensions after a 300 kip force is applied? 0.0025 0.0035 0.0095 0.0100 0.0130 0.0145 Y, radians ɛ, in/in 20 in 3 in Cross Section 2 inarrow_forward
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