Materials Science And Engineering Properties
1st Edition
ISBN: 9781111988609
Author: Charles Gilmore
Publisher: Cengage Learning
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Chapter 11, Problem 11.3P
To determine
Compare the expected fracture strength of defective glass windshield with new one.
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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?
With neat sketches show three modes of fracture in a cracked material
Question 4. A tensile test is carried out on a bar of mild steel of diameter 2 cm. The bar yields under a load of 80 Kn.
It reaches a maximum load of 150 kN, and breaks finally at a load of 70 kN.
Estimate:
a)the tensile stress at the yield point
b)the ultimate tensile stress
c)the average stress at the breaking point if the diameter of the fractured neck is 1 cm.
Chapter 11 Solutions
Materials Science And Engineering Properties
Ch. 11 - Prob. 1CQCh. 11 - Prob. 2CQCh. 11 - Prob. 3CQCh. 11 - Prob. 4CQCh. 11 - Prob. 5CQCh. 11 - Prob. 6CQCh. 11 - Prob. 7CQCh. 11 - Prob. 8CQCh. 11 - Prob. 9CQCh. 11 - Prob. 10CQ
Ch. 11 - Prob. 11CQCh. 11 - Prob. 12CQCh. 11 - Prob. 13CQCh. 11 - Prob. 14CQCh. 11 - Prob. 15CQCh. 11 - Prob. 16CQCh. 11 - Prob. 17CQCh. 11 - Prob. 18CQCh. 11 - Prob. 19CQCh. 11 - Prob. 20CQCh. 11 - Prob. 21CQCh. 11 - Prob. 22CQCh. 11 - Prob. 23CQCh. 11 - Prob. 24CQCh. 11 - Prob. 25CQCh. 11 - Prob. 26CQCh. 11 - Prob. 27CQCh. 11 - Prob. 28CQCh. 11 - Prob. 29CQCh. 11 - Prob. 30CQCh. 11 - Prob. 1ETSQCh. 11 - Prob. 2ETSQCh. 11 - Prob. 3ETSQCh. 11 - Prob. 4ETSQCh. 11 - Prob. 5ETSQCh. 11 - Prob. 6ETSQCh. 11 - Prob. 7ETSQCh. 11 - Prob. 8ETSQCh. 11 - Prob. 9ETSQCh. 11 - Prob. 10ETSQCh. 11 - Prob. 11.1PCh. 11 - Prob. 11.2PCh. 11 - Prob. 11.3PCh. 11 - Prob. 11.4PCh. 11 - Prob. 11.5PCh. 11 - Prob. 11.6PCh. 11 - Prob. 11.7PCh. 11 - Prob. 11.8PCh. 11 - Prob. 11.9PCh. 11 - Prob. 11.10PCh. 11 - Prob. 11.11PCh. 11 - Prob. 11.12PCh. 11 - Prob. 11.13PCh. 11 - Prob. 11.14P
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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_forwardCan you solve this questions?arrow_forwardThe limit load of an elastic-plastic cracked three-point bend beam (Figure QA1) with S = 4W = 120 mm, crack length a and a/W = 0.4 is (PL)c. Calculate %3D the crack opening stress at a distance of 0.5 mm ahead of the crack tip in an elastic specimen subjected to bending load equal to the limit load. Assume that the materials yield strength is equal to oy 300 MPa and the specimen is under plane strain condition. Figure QA1: three-point bend beam P. SIarrow_forward
- A metal specimen with a square cross-sectional area having a gauge length of 50.0 mm is pulled in tension.If its width at the point of fracture is 5 mm and fractured gauge length is 75 mm. Calculate the ductility interms of:a) percent elongation b) percent reduction in area (Assume that its original width is 9 mm.)arrow_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 the 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 proportional limit, modulus of elasticity (i.e the slope of initial part of the stress-strain curve), yield stress at 0.1% offset, ultimate stress, percent elongation in 50mm, and percentage reduction in 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_forwardThe following observations were made during a tensile test on a mild steel specimen 40 mm in diameter and 200 mm long. Elongation is with 40 kN load (with in limit of proportionality) 8=0.0304mm, yield load = 161 kN, Maximum load = 242 kN Length of specimen at fracture = 249mm Find: 1) Young's Modulus of elasticity ; E 2) Yield point stress Ultimate stress 3) 4) Percentage elongationarrow_forward
- A brass specimen of the circular cross-section is fractured at 151 kN force and the final length of the specimen at fracture is 48 mm. The fracture strength of the specimen is found to be 72 kN/mm?. The percentage of elongation of the specimen is 44 %. Determine the following (i) Diameter of the specimen, ii) Initial length of the specimen, iii) Stress under an elastic load of 15 kN, iv) Young's Modulus if the elongation is 1.5 mm at 15 kN (v) Final diameter if the percentage of reduction in area is 21 %. ( Initial Cross-sectional Area (in mm?) The Diameter of the Specimen (in mm) Initial Length of the Specimen (in mm) Stress under the elastic load (in N/mm?) Young's Modulus of the Specimen (in N/mm2) Final Area of the Specimen at Fracture (in mm) Final Diameter of the Specimen after Fracture (in mm)arrow_forwardA very large, steel plate of yield stress 200 MPa has a crack at the centre of length 18 mm, orientated along the x-axis. If the plate is subjected to far field tensile loading of magnitude 179 MPa and is assumed to be in a state of plane strain, determine the extent of the plastic region at the crack tip, along the x-axis. You may assume Poisson's ratio is (1/3). Express your answer as an integer value of mm.arrow_forwardQuestion: A structural component in the form of a wide plate is to be fabricated from a steel alloy that has a plane strain fracture toughness of 98.9 MPa sqrt(m) (90 ksi sqrt(in.)) and a yield strength of 860 MPa (125,000 psi). The flaw size resolution limit of the flaw detection apparatus is 3.0 mm (0.12 in.). If the design stress is one-half of the yield strength and the value of Y is 1.0, determine whether or not a critical flaw for this plate is subject to detection.arrow_forward
- In a tension test, a 105 N.cm work is done to break a 30 cm long glass rod with a 4 mm x 75 mm cross-section area. Modulus of elasticity of glass is 7x10° N/cm?. (Assume linear elastic behaviour of glass until rupture) a) Determine the tensile strength of glass. b) Calculate the length of the glass rod at rupture.arrow_forward5. A tensile test was done on a magnesium sample of original diameter and original length of 12mm 30mm respectively. The final length and diameter were 32.61mm and 11.74mm respectively. Plot the stress versus strain graph and determine: a. 0.2% proof stress b. Tensile strength c. % elongation d. % reduction e. Stress at fracture f. Modulus of Elasticity. 66 Force (N) Ext. 0.0112 0.0157 0.0199 0.0240 1.72 (mm) 177 327 462 797 1350 1720 2220 2690 2690 5.55 8.15 13.07 22.77 25.25arrow_forwardA brass specimen of the circular cross-section is fractured at 151 kN force and the final length of the specimen at fracture is 49 mm. The fracture strength of the specimen is found to be 74 kN/mm2. The percentage of elongation of the specimen is 42 %. Determine the following (i) Diameter of the specimen ii) Initial length of the specimen iii) Stress under an elastic load of 16 kN iv) Young's Modulus if the elongation is 1.6 mm at 16 kN (v) Final diameter if the percentage of reduction in area is 20 % solve: Initial Cross-sectional Area (in mm2) = The Diameter of the Specimen (in mm) = Initial Length of the Specimen (in mm) =arrow_forward
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