Foundations of Materials Science and Engineering
6th Edition
ISBN: 9781259696558
Author: SMITH
Publisher: MCG
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Chapter 6.13, Problem 87SEP
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Q1/A structural part is 1-meter-long and subjected to a 50 KN load in which this part
must be deformed elastically without experiencing any permanent deformation. If you
know that part is made of steel, brass, aluminum, and Titanium alloys and the yield
strengths and densities of these alloys are: 860 MPa, 7.9 g/cm³; 415 MPa, 8.5g/cm³; 310
MPa, 2.7 g/cm³; and 550 MPa, 4.5 g/cm³ respectively. Based on these criteria, rank the
alloys from the heaviest to the lightest in weight.
Determine the percentage of ductility of a metal alloy having the following tensile stress-strain diagram.
600
500E
400
500
300
400E
300
200
200
100
100
0.000
0.002
0.004
0.006
Strain
0.00
0.04
0.08
0.12
0.16
0.20
Strain
EN
Stress (MPa)
Stress (MPa)
Ductile materials have more impact strength compared to brittle materials.
Select one:
True
False
Chapter 6 Solutions
Foundations of Materials Science and Engineering
Ch. 6.13 - (a) How are metal alloys made by the casting...Ch. 6.13 - Why are cast metal sheet ingots hot-rolled first...Ch. 6.13 - What type of heat treatment is given to the rolled...Ch. 6.13 - Describe and illustrate the following types of...Ch. 6.13 - Describe the forging process. What is the...Ch. 6.13 - What is the difference between open-die and...Ch. 6.13 - Describe the wire-drawing process. Why is it...Ch. 6.13 - Distinguish between elastic and plastic...Ch. 6.13 - Define (a) engineering stress and strain and (b)...Ch. 6.13 - Define (a) modulus of elasticity, (b) yield...
Ch. 6.13 - (a) Define the hardness of a metal. (b) How is the...Ch. 6.13 - What types of indenters are used in (a) the...Ch. 6.13 - What are slipbands and slip lines? What causes the...Ch. 6.13 - Describe the slip mechanism that enables a metal...Ch. 6.13 - (a) Why does slip in metals usually take place on...Ch. 6.13 - Prob. 16KCPCh. 6.13 - What other types of slip planes are important...Ch. 6.13 - Define the critical resolved shear stress for a...Ch. 6.13 - Describe the deformation twinning process that...Ch. 6.13 - What is the difference between the slip and...Ch. 6.13 - Prob. 21KCPCh. 6.13 - Prob. 22KCPCh. 6.13 - What experimental evidence shows that grain...Ch. 6.13 - (a) Describe the grain shape changes that occur...Ch. 6.13 - How is the ductility of a metal normally affected...Ch. 6.13 - (a) What is solid-solution strengthening? Describe...Ch. 6.13 - What are the three main metallurgical stages that...Ch. 6.13 - Describe the microstructure of a heavily...Ch. 6.13 - Describe what occurs microscopically when a...Ch. 6.13 - When a cold-worked metal is heated into the...Ch. 6.13 - Describe what occurs microscopically when a...Ch. 6.13 - When a cold-worked metal is heated into the...Ch. 6.13 - Prob. 33KCPCh. 6.13 - Prob. 34KCPCh. 6.13 - Prob. 35KCPCh. 6.13 - Prob. 36KCPCh. 6.13 - Prob. 37KCPCh. 6.13 - Why are nanocrystalline materials stronger? Answer...Ch. 6.13 - A 70% Cu30% Zn brass sheet is 0.0955 cm thick and...Ch. 6.13 - A sheet of aluminum alloy is cold-rolled 30% to a...Ch. 6.13 - Calculate the percent cold reduction when an...Ch. 6.13 - Prob. 42AAPCh. 6.13 - What is the relationship between engineering...Ch. 6.13 - A tensile specimen of cartridge brass sheet has a...Ch. 6.13 - A 0.505-in.-diameter rod of an aluminum alloy is...Ch. 6.13 - In Figure 6.23, estimate the toughness of SAE 1340...Ch. 6.13 - The following engineering stress-strain data were...Ch. 6.13 - Prob. 49AAPCh. 6.13 - A 0.505-in.-diameter aluminum alloy test bar is...Ch. 6.13 - A 20-cm-long rod with a diameter of 0.250 cm is...Ch. 6.13 - Prob. 52AAPCh. 6.13 - Prob. 53AAPCh. 6.13 - Prob. 54AAPCh. 6.13 - Prob. 55AAPCh. 6.13 - Prob. 56AAPCh. 6.13 - A specimen of commercially pure titanium has a...Ch. 6.13 - Prob. 58AAPCh. 6.13 - Prob. 59AAPCh. 6.13 - Prob. 60AAPCh. 6.13 - Prob. 61AAPCh. 6.13 - Prob. 62AAPCh. 6.13 - Prob. 63AAPCh. 6.13 - Prob. 64AAPCh. 6.13 - Prob. 65SEPCh. 6.13 - Prob. 66SEPCh. 6.13 - A 20-mm-diameter, 350-mm-long rod made of an...Ch. 6.13 - Prob. 68SEPCh. 6.13 - Prob. 69SEPCh. 6.13 - Consider casting a cube and a sphere on the same...Ch. 6.13 - When manufacturing complex shapes using cold...Ch. 6.13 - Prob. 74SEPCh. 6.13 - Draw a generic engineering stress-strain diagram...Ch. 6.13 - (a) Draw a generic engineering stress-strain...Ch. 6.13 - Prob. 77SEPCh. 6.13 - Prob. 78SEPCh. 6.13 - Prob. 79SEPCh. 6.13 - The material for a rod of cross-sectional area...Ch. 6.13 - What do E, G, v, Ur, and toughness tell you about...Ch. 6.13 - A cylindrical component is loaded in tension until...Ch. 6.13 - Referring to Figures 6.20 and 6.21 (read the...Ch. 6.13 - (a) Show, using the definition of the Poissons...Ch. 6.13 - A one-inch cube of tempered stainless steel (alloy...Ch. 6.13 - Prob. 87SEPCh. 6.13 - Prob. 88SEPCh. 6.13 - Prob. 89SEPCh. 6.13 - Prob. 90SEPCh. 6.13 - Prob. 91SEPCh. 6.13 - Prob. 92SEPCh. 6.13 - Prob. 93SEPCh. 6.13 - Prob. 94SEPCh. 6.13 - Starting with a 2-in.-diameter rod of brass, we...Ch. 6.13 - Prob. 96SEPCh. 6.13 - Prob. 97SEPCh. 6.13 - Prob. 98SEPCh. 6.13 - The cupro-nickel substitutional solid solution...Ch. 6.13 - Prob. 100SEP
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- Which one(s) of the following about G, shear modulus of elasticity of a material are correct? select all which are correct. G is also called the modules of rigidity. G is related to the modulus of elasticity E and Poisson’s ratio . G is usually smaller than Young's modulus E for the same material. G is the ratio of shear stress to shear strain when the material's proportional limit in shear has not been exceeded.arrow_forwardYou have been given the S-N plot below for a test material: What is the Fatigue Limit for this test material and what would be its Fatigue Life at a stress of 130 MPa? (This question has only one correct answer) 450 400 350 300 250 200 150 100 50 104 105 106 10 108 10° Cycles to failure Stress Amplitude (MPa)arrow_forwardAn S-N plot from fatigue testing of a steel is provided below. Use the plot to determine the following values for this steel. 1. Fatigue limit: 2. Fatigue lifetime at a stress amplitude of: 415 MPa: 275 MPa: 3. Fatigue strength at: 5x104 cycles: 5x105 cycles 500 400 300 200 100 0 1.E+04 Stress Amplitude (MPa) 1.E+05 1.E+06 Cycles to Failure 1.E+07 1.E+08arrow_forward
- Draw a typical stress vs strain tensile test curve for the following materials (two seperate graphs) and label the axis. A ductile metallic test specimen that is stretched to failure displaying a characteristic yield point and show the following parts on the curve. 1- Yield point 2- Ultimate Tensile Strength 3- Breaking point 4- Elastic Region 5- Plastic Region 6- Necking regionarrow_forwardConsider a cylindrical specimen of a steel alloy with 8.5 mm diameter and 80 mm long that is pulled in tension. Estimate the following mechanical properties using Fig. 1: a. Modulus of Elasticity and Resilience in MPa and psi b. Ultimate Tensile Strength in MPa and psi c. Fracture Strength in MPa and psi d. Ductility or % elongation at fracture in MPa and psi 2000 10³ psi MPa 300 2000 200 1000 100 0 0.000 0.005 0.010 0.015 Strain 0.020 0.040 0.060 Strain Fig. 1 Engineering Stress-Strain Curve Stress (MPa) 1000 0 0.000 Stress 0.080 300 200 100 0 Stress (10³ psi)arrow_forwardQUESTION 12 The Fatigue behaviour of initially crack free aluminium 6061 is shown in Figure Q12. A component constructed from this alloy undergoes 100,000 cycles of loading at a stress amplitude of 150 MPa and 10,000 cycles at 200 MPa. What proportion of it's fatigue life has been exceeded. Give your answer to 2 decimal places 300 o (MPa) 200 250 LLVU-L LU b 150 100 50 10³ cron I ⠀⠀ I 1 I I I 104 I I O LU TENH ETHN I 1 1710 1 I I I I I I 1 I HH-TTHHR- 100 I I nn H LLUCE 105 I O' H IIMIO I I LLUWE 1 I I -4L4H I I I Stress Ratio R=-1 o Test Point I ⠀⠀⠀⠀⠀ 1 w www 10!!! 1700-cron H TH Q I I -TTH I TTHHI 11 107 I O!!!!! ITO 108 I II 44 I I I I 11 11 17100 I 11 106 N Figure 12: S-N curve of 6061-T6 aluminium alloy - Bai et al: Sensors 14 (2014), 4364-4383 ****** 10⁹arrow_forward
- QUESTION 1 Predict the fatigue strength (ksi) at N=1000 cycles for a fatigue test specimen of a steel whose tensile strength is 125 ksiarrow_forwardThe fluctuating stresses listed in the table are found at a critical location of a component made of steel with Se = 40 ksi, Sy = 80 ksi, Sut = 110 ksi and f= 0.87. These stresses are applied on the part within 10 s. What is the accumulative damage of this part? What is the life of the part in hours if this stress pattern continues to repeat for the remained of the part's life? Use Goodman criterion and Miner's rule in your solution. Loading order |Omin o max |Number of cycles -20 30 -10 50 1 3. -30 30 1arrow_forwardO A cylindrical rod made from an unknown metal is 350mm long and has a diameter of 10mm. The rod is subjected to a tensile load. It experiences only elastic deformation and elongates by less than 1.0mm under an applied load of 19,800N. Could any of the four metals listed in the table below could be the unknown metal? If so which ones and why? Material Modulus of Yield Ultimate Elasticity / GPa Strength / MPа Tensile Strength / MPа Aluminium 70 255 420 alloy Brass 100 345 420 Copper alloy Steel 110 250 290 207 450 550arrow_forward
- 4. A titanium alloy (Ti-5Al-2.5Sn) specimen with the dimensions shown below is subjected to a uniaxial tensile load of 1500 N. (a) Determine if the deformation is entirely elastic. (b) What is the extension and gauge length (in mm) under this load? You may assume a Modulus of Elasticity of 110 GPa and a yield strength of 760 MPa. 13 mm 45 mm 9 mm R8 mm/ 40 mmarrow_forwardTwo different materials designated A, and B, are tested in tension using test specimens having diameters of 0.505 cm and gage lengths of 2.0 cm (Figure 1). At failure, the distances between the gauge length marks are 2.13 cm (sample A) and 2.48 cm (sample B). Also, at the failure cross-sections, the diameters are found to be 0.484 cm (sample A) and 0.398 cm (sample B), respectively. i. Calculate the percent elongation and percent of area reduction in each specimen. a. Sample A b. Sample B ii. Classify each material as brittle or ductile using your judgement.arrow_forwardThe factor of safety for mechanical components that are subjected to fatigue loading should be based on endurance limit. Select one: True Falsearrow_forward
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