Materials Science And Engineering Properties
1st Edition
ISBN: 9781111988609
Author: Charles Gilmore
Publisher: Cengage Learning
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Chapter 6, Problem 32CQ
To determine
The logarithm of ratio initial cross-sectional area to the cross-sectional area at fracture.
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Students have asked these similar questions
The (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?
A thin plate of a ceramic material with E = 225 GPa is loaded in tension, developing a stress of 450 MPa. Is the specimen likely to fail if the most severe flaw present is an internal crack oriented perpendicular to the load axis that has a total length 0.25 mm and a crack tip radius of curvature equal to 1 μm?
For a specimen of a steel alloy with a plane strain fracture toughness of 80 MPa√m, fracture results at a stress of 510 MPa when the maximum (or critical) internal crack length is 6 mm. For the same alloy, will fracture occur at a stress level of 380 MPa when the maximum internal crack is 9.0 mm? Why or why not?
Select the most appropriate answer based on your calculation.
Select one:
a. It will not fracture
b. Not enough information
c. It will fracture
Chapter 6 Solutions
Materials Science And Engineering Properties
Ch. 6 - Prob. 1CQCh. 6 - Prob. 2CQCh. 6 - Prob. 3CQCh. 6 - Prob. 4CQCh. 6 - Prob. 5CQCh. 6 - Prob. 6CQCh. 6 - Prob. 7CQCh. 6 - Prob. 8CQCh. 6 - Prob. 9CQCh. 6 - Prob. 10CQ
Ch. 6 - Prob. 11CQCh. 6 - Prob. 12CQCh. 6 - Prob. 13CQCh. 6 - Prob. 14CQCh. 6 - Prob. 15CQCh. 6 - Prob. 16CQCh. 6 - Prob. 17CQCh. 6 - Prob. 18CQCh. 6 - Prob. 19CQCh. 6 - Prob. 20CQCh. 6 - Prob. 21CQCh. 6 - Prob. 22CQCh. 6 - Prob. 23CQCh. 6 - Prob. 24CQCh. 6 - Prob. 25CQCh. 6 - Prob. 26CQCh. 6 - Prob. 27CQCh. 6 - Prob. 28CQCh. 6 - Prob. 29CQCh. 6 - Prob. 30CQCh. 6 - Prob. 31CQCh. 6 - Prob. 32CQCh. 6 - Prob. 33CQCh. 6 - Prob. 34CQCh. 6 - Prob. 35CQCh. 6 - Prob. 36CQCh. 6 - Prob. 37CQCh. 6 - Prob. 38CQCh. 6 - Prob. 1ETSQCh. 6 - Prob. 2ETSQCh. 6 - Prob. 3ETSQCh. 6 - Prob. 4ETSQCh. 6 - Prob. 5ETSQCh. 6 - Prob. 6ETSQCh. 6 - Prob. 7ETSQCh. 6 - Prob. 8ETSQCh. 6 - Prob. 9ETSQCh. 6 - At the ultimate tensile strength. (a) The true...Ch. 6 - Prob. 11ETSQCh. 6 - Prob. 12ETSQCh. 6 - Prob. 13ETSQCh. 6 - Prob. 14ETSQCh. 6 - Prob. 15ETSQCh. 6 - Prob. 16ETSQCh. 6 - Prob. 6.1PCh. 6 - Prob. 6.2PCh. 6 - Compare the engineering and true secant elastic...Ch. 6 - Prob. 6.4PCh. 6 - Prob. 6.5PCh. 6 - An iron specimen is plastically deformed in shear...Ch. 6 - Prob. 6.7PCh. 6 - Prob. 6.8PCh. 6 - Prob. 6.9PCh. 6 - Prob. 6.10PCh. 6 - Prob. 6.11PCh. 6 - Prob. 6.12PCh. 6 - Prob. 6.13PCh. 6 - Prob. 6.14PCh. 6 - Estimate the elastic and plastic strain at the...Ch. 6 - Prob. 6.16PCh. 6 - Prob. 6.17PCh. 6 - Prob. 6.18PCh. 6 - Prob. 6.19PCh. 6 - Prob. 6.1DPCh. 6 - Prob. 6.2DP
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- 2. a) As an engineer, choose a desired fracture mode in metals with one (1) reason. b) Sketch the fracture behaviour in metals. c) i. The modulus of elasticity of a metal alloy A is 260 GPa. Compute the specific surface energy if propagation of an internal crack of length 0.40 mm is observed when a stress of 63 MPa is applied to the alloy. ii. The elastic deformation energy of alloy A is 3.0 J/m². Based on the answer obtained in c)(i), show whether alloy A is an elastic deformation or a plastic deformation. iii. Interpret if alloy A can be classified as a brittle or a ductile material. d) i. A metal with an internal crack is loaded with a tensile stress of 15 MPa. If the crack length and the radius of curvature are 2.6 x 10-2 mm and 1.1 x 10-4 mm, compute its maximum stress. ii. The modulus of elasticity of the metal is 90 GPa and the specific surface energy is 2.6 J/m2. Based on its critical stress, show that the crack will not grow when a tensile stress of 15 MPa is loaded on it.arrow_forwardA structural component in the shape of a flat plate 20.8 mm thick is to be made from a metal with yield strength of 533 MPa and a critical fracture toughness of 22.0 MPa-m!2. Assume a crack forms in the plate, and the geometry of the crack yields a Y value of 1.5. If the plate is designed to a design stress equivalent to 0.3 times the yield strength, what is the critical crack length? Equations: 1/2 () Om К = 2 σο K. = YocTa %3D Ptarrow_forwardI need the answer as soon as possiblearrow_forward
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