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MindTap Engineering for Askeland/Wright's The Science and Engineering of Materials, 7th Edition, [Instant Access], 2 terms (12 months)
7th Edition
ISBN: 9781305111219
Author: Donald R. Askeland; Wendelin J. Wright
Publisher: Cengage Learning US
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Chapter 6, Problem 6.57P
(a)
To determine
The Brinell hardness number of the steel plate.
(b)
To determine
The approximate tensile strength of the steel.
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QI (a)
A tensile stress is to be applied along the axis of a cylindrical steel rod that has a
diameter of 7.5 mm. Given the Poisson's ratio, v is 0.30 and the modulus of
elasticity, E of the steel is 207 GPa.
Determine the magnitude of the load required to produce a 2.5 x10³ mm change
in diameter if the deformation is entirely elastic.
(b) Referring to the tensile test data tabulated in Table 1, answer the following
questions:
i.
Select with justification the material that will experience the greatest
percent reduction in area.
ii.
Select with justification which material is the strongest.
Table 1. Tensile stress-strain data for several hypothetical metals
Material
Yield
Tensile
Strain at
Fracture
Elastic
Strength
Strength
Fracture
Strength Modulus
(МРа)
(MPa)
(MPa)
(GPa)
A
310
340
0.23
265
210
100
120
0.40
105
150
C
415
550
0.15
500
310
D
700
850
0.14
720
210
E
Fracture before yielding
650
350
A metal specimen was subjected to a Vickers hardness test. The indentation on
the surface of the specimen had a measured diagonal, d, of 0.24mm and the
Vickers hardness number was calculated at a value of 482.91kgf/mm2.
Determine the applied force, F, that was used to test the specimen. Also,
determine the Tensile Strength of the metal, assuming it is hard.
A mild steel material is subjected to a Brinell hardness test with an applied force of 8145 N using a hardened steel ball indentor of 10 mm and it is found that the Brinell Hardness Number as 966. Determine the surface area of indentation and indentation diameter
Chapter 6 Solutions
MindTap Engineering for Askeland/Wright's The Science and Engineering of Materials, 7th Edition, [Instant Access], 2 terms (12 months)
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- Determine the indentation diameter and the surface area of indentation of a copper material subjected to a Brinell hardness test with a test force of 7.1 kN using a hardened steel ball indentor of 9 mm. Take the Brinell Hardness Number as 955.arrow_forwardTutorial Problem 3 The following data are obtained from the Charpy impact test of a copper specimen. a) Length of the square cross-section specimen = 70 mm b) Each side (top & bottom) of the cross-section = 9.64 mm c) V – Notch thickness at middle of the specimen length = 1.06 mm d) Impact Strength = 279 kJ/m² Determine the Cross-sectional area at the top surface, Cross-sectional area at notch & Impact energy of the copper specimen.arrow_forwardDetermine the indentation diameter and the surface area of indentation of a copper material subjected to a Brinell hardness test with a test force of 9.4 kN using a hardened steel ball indentor of 10 mm. Take the Brinell Hardness Number as 955. Solution: i) Indentation Diameter (in mm) = ii) Surface Area of Indentation (in mm2) =arrow_forward
- An engineer determines that a 32 cm long rod of 1020 grade steel will be subjected to a tension of 40 kN. The following two design requirements must be met: the stress must remain below 120 MPa, and the rod must stretch less than 0.135 mm. Determine an appropriate value for the rod's diameter to meet these two requirements. (Round up to the nearest millimeter when reporting your answer.) mmarrow_forwardThe data shown in the table below were obtained from a tensile test of high-strength steel. The test specimen had a diameter of 13mm and a gage length of 50mm. At fracture, the elongation between the gage marks was 3.0mm and the minimum diameter was 10.7mm. Plot the conventional stress-strain curve for the steel and determine the propotional limit, modulus of elasticity (i.e the slope of the initial part of the stress-strain curve), yield stress at 0.1% offset, ultimate stress, percent elongation in 50mm, and percent reduction area. TENSILE-TEST DATA Load(kN) Elongation(mm) 5 0.005 10 0.015 30 0.048 50 0.084 60 0.099 64.5 0.109 67.0 0.119 68.0 0.137 69.0 0.160 70.0 0.229 72.0 0.259 76.0 0.330 84.0 0.584 92.0 0.853 100.0 1.288 112.0 2.814 113.0 Fracturearrow_forwardIn a micro-Vickers hardness test, the diagonals of the indentation are 54 and 55 um when a load of 200 g was applied to the specimen. Determine the micro-Vickers hardness (HV) of the tested specimen. (Input the answer with two decimal places: like 20.32, 36.26, etc.).arrow_forward
- Determine the indentation diameter and the surface area of indentation of a copper material subjected to a Brinell hardness test with a test force of 7.1 kN using a hardened steel ball indentor of 9 mm. Take the BrinelI Hardness Number as 955. Solution: I) Indentation Diameter (in mm) = 3.0314043041657 ii) Surface Area of Indentation (in mm?) = 7.434554973822arrow_forwardA standard Vickers Hardness test was conducted on a metal specimen.Determine the Vicker’s hardness number and the tensile stress of thespecimen. The applied load was 10 kgf, and the standard indentor left anindentation with diagonal d = 0.217 mm. Assume that the metal is hard.arrow_forwardQ3b. The stress-strain characteristic curves for materials A, B and C are shown below. Which one statement most accurately describes the relative toughness and ductility for materials A, B & C? Material A Material B Material C Strain Select one: a. Material A has low toughness, Material B has high ductility and Material C has low toughness. b. Material A has high toughness, Material B has low ductility and Material C has low toughness. c. Material A has low ductility, Material B has low toughness and Material C has low toughness. d. Material A has high ductility, Material B has low toughness and Material C has high toughness. Stressarrow_forward
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