Foundations of Materials Science and Engineering
6th Edition
ISBN: 9781259696558
Author: SMITH
Publisher: MCG
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Chapter 7.10, Problem 37AAP
To determine
The temperature.
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The figure below shows the tensile engineering stress-strain behavior for a steel alloy.
(a) What is the modulus of elasticity?
(b) What is the yield strength at a strain offset of 0.002?
(c) What is the tensile strength?
Stress (MPa)
600
500
400
300
200
100
T
I
0.00
Stress (MPa)
0.04
500
400
300
200
100
0.000
0.08
0.002
Strain
0.004
Strain
0.12
I
0.006
0.16
0.20
In the previous problem, A load of 85,000 N (19,100 lbf) is applied to a cylindrical specimen of the
steel alloy that has a cross-sectional diameter of 15 mm (0.59 in.).
(a) Will the specimen experience elastic and/or plastic deformation? Why?
(b) If the original specimen length is 250 mm (10 in.), how much will it increase in length when this
load is applied?
Q2) Cylindrical rod with original diameter (12mm) and original length (70 mm) made of
1020 Hot-rolled steel alloy which their yield stress (207 MPa) and Young modulus (210
GPa). Tensile test was carried on this rod and it's broken under (27.5 KN) force with final
diameter (10mm) and final length (84 mm). Calculate:
(A) 1- Engineering fracture stress
(B) If you know that the Brinell hardness for this alloy (HB=111). Estimate the tensile
strength of this alloy in (MPa).
2- True fracture stress.
(C) 1- Toughness gauge.
2- The percentage of elongation.
1.
A part made of Aluminum 6061-T6 has a yield strength = 400 MPa. For each stress state below, draw all 3 Mohr's circles, find the principal stresses, and calculate the safety factor against yield using both the distortion-energy (von Mises) and maximum shear stress (Tresca) criterions.
(If relevant) A clearly labeled diagram (or diagrams) clearly pertaining to your analysis with a coordinate system and relevant labels.
Final answer with appropriate units and significant figures. You can use the fprintf() command in MATLAB to format numerical results
A 2-3 sentence reflection on your answer. Does it make sense? Why or why not? What are some implications?
Chapter 7 Solutions
Foundations of Materials Science and Engineering
Ch. 7.10 - What are the characteristics of the surface of a...Ch. 7.10 - Prob. 2KCPCh. 7.10 - Prob. 3KCPCh. 7.10 - Prob. 4KCPCh. 7.10 - Prob. 5KCPCh. 7.10 - Prob. 6KCPCh. 7.10 - Prob. 7KCPCh. 7.10 - Prob. 8KCPCh. 7.10 - Prob. 9KCPCh. 7.10 - How does the carbon content of a plain-carbon...
Ch. 7.10 - Describe a metal fatigue failure.Ch. 7.10 - What two distinct types of surface areas are...Ch. 7.10 - Prob. 13KCPCh. 7.10 - Prob. 14KCPCh. 7.10 - Prob. 15KCPCh. 7.10 - Describe the four basic structural changes that...Ch. 7.10 - Describe the four major factors that affect the...Ch. 7.10 - Prob. 18KCPCh. 7.10 - Prob. 19KCPCh. 7.10 - Prob. 20KCPCh. 7.10 - Prob. 21KCPCh. 7.10 - Determine the critical crack length for a through...Ch. 7.10 - Determine the critical crack length for a through...Ch. 7.10 - The critical stress intensity (KIC) for a material...Ch. 7.10 - What is the largest size (in mm) of internal...Ch. 7.10 - A Ti-6Al-4V alloy plate contains an internal...Ch. 7.10 - Using the equation KIC=fa, plot the fracture...Ch. 7.10 - (a) Determine the critical crack length (mm) for a...Ch. 7.10 - A fatigue test is made with a maximum stress of 25...Ch. 7.10 - A fatigue test is made with a mean stress of...Ch. 7.10 - A large, flat plate is subjected to...Ch. 7.10 - Prob. 32AAPCh. 7.10 - Refer to Problem 7.31: Compute the final critical...Ch. 7.10 - Prob. 34AAPCh. 7.10 - Prob. 35AAPCh. 7.10 - Equiaxed MAR-M 247 alloy (Fig. 7.31) is used to...Ch. 7.10 - Prob. 37AAPCh. 7.10 - If DS CM 247 LC alloy (middle graph of Fig. 7.31)...Ch. 7.10 - Prob. 39AAPCh. 7.10 - Prob. 40AAPCh. 7.10 - Prob. 41SEPCh. 7.10 - Prob. 42SEPCh. 7.10 - A Charpy V-notch specimen is tested by the...Ch. 7.10 - Prob. 44SEPCh. 7.10 - Prob. 45SEPCh. 7.10 - Prob. 46SEPCh. 7.10 - Prob. 47SEPCh. 7.10 - Prob. 48SEPCh. 7.10 - Prob. 49SEPCh. 7.10 - Prob. 50SEPCh. 7.10 - While driving your car, a small pebble hits your...Ch. 7.10 - Prob. 52SEPCh. 7.10 - Prob. 53SEPCh. 7.10 - Prob. 54SEPCh. 7.10 - Prob. 56SEPCh. 7.10 - Prob. 57SEPCh. 7.10 - Prob. 58SEPCh. 7.10 - Prob. 59SEPCh. 7.10 - The components in Figure P7.60 are high-strength...
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- O The following engineering stress-strain data were obtained for a 0.2% C plain-carbon steel. (i) Plot the engineering stress-strain curve. (ii) Determine the ultimate tensile strength of the alloy. (iii) Determine the percent elongation at fracture. Engineering Engineering Engineering Engineering Stress Strain Stress Strain (ksi) (in./in.) (ksi) (in./in.) 76 0.08 30 0.001 75 0.10 55 0.002 73 0.12 60 0.005 69 0.14 68 0.010 65 0.16 72 0.020 56 0.18 74 0.040 51 0.19 75 0.060 (Fracture)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_forward1. A steel of rotating-beam test specimen has an ultimate strength of 1600Mpa. Estimate the life of the specimen if it is tested at a completely reversed stress amplitude of 900MPA. Hint: You can either extrapolate the curve of f vs. Sut, or use the equation derived on P10 to estimate the value of f.arrow_forward
- The Highest load sustained druing an uniaxial tensile testing experiment is 7,500lb. If the original cross section has a diamter of 0.25in, what is the ultimate tensile strength? (please also make a drawing)arrow_forward*O llAsiacell Strength of m. -> 02: A steel specimen 12mm diameter has gauge length 50mm. the steel specimen had tested via tensile test under maximum load 66KN with elongation 7.5mm, and the yield load of this specimen is 15KN with elongation 2.4mm. Calculate: 1- The engineering ultimate stress (ultimate tensile strength), and engineering strain at this point. 2- The engineering stress and strain at yield point. 3- The modulus of elasticity, and the modulus of resilience. 4- The final or fracture strain of a steel specimen, if you know that the final length of specimen after testing is 58.5mm. 5- The true stress and strain for ultimate point. Q3: The yoke-and-rod connection is subjected to a tensile force of 15 kN. Determine the average normal stress in each rod and the average shear stress in the pin A between the members. Finally, find the shear strain in pin A. Take G teef 75GPA 40 mm 15 kN, 30 mm 30 mn 15 kN 04: In figure as shown below, assume that a 35mm diameter rivet joint the…arrow_forward(ii) The turbine blade root is found to contain a surface fatigue crack of 3.3 mm during a routine maintenance inspection. The major stop-start load cycle is experienced twice per day with a minimum stress of 34 MPa and a maximum stress of 195 MPa. The turbine blade has a KIC of 75 MPa√m. Fatigue crack growth rate data for this alloy is given by: the Paris law constant, A = 4.5 x 10-11 and the Paris law exponent, m = 3.8. How many more stop-starts would you recommend be used? Explain your reasoning. You can assume the shape factor Q = 1.2, K is in MPaNm and a (crack length) is in marrow_forward
- A tensile test for a copper specimen has been performed and the following data are obtained. - Percentage of Elongation = 69 % - Percentage of Reduction in Area = 39 % - Final length after fracture = 35.5 mm - Final Diameter after fracture = 3.6 mm & - Ultimate stress = 396 MPa SOLUTION: i) Initial Length (in mm) = ii) Final Area (in mm2) = iii) Initial Area (in mm2) =arrow_forward1. A steel rod is subjected to tension force (diameter: 30 mm) is made of annealed AISI 1015 steel. Yield strength of the annealed AISI 1015 steel is 386 MPa. (a) If the test specimen yielded when it was subjected to tensile force P, calculate P. yielding if the applied tensile force P is 1,200 kN. (b) Calculate safety factor against 30mmarrow_forwardQI (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 350arrow_forward
- Determine the tensile yield strength (0.2% offset) and the maximum strength of a metal alloy having the following tensile stress-strain diagram. Select one: The tensile yield strength Sy = 100 Mpa and the maximum strength Smax = 250 Mpa. The tensile yield strength Sy = 170 Mpa and the maximum strength Smax = 250 Mpa. The tensile yield strength Sy = 150 Mpa and the maximum strength Smax = 200 Mpa. The tensile yield strength Sy = 240 Mpa and the maximum strength Smax = 250 Mpa. The tensile yield strength Sy = 80 Mpa and the maximum strength Smax = 250 Mpa.arrow_forward2. A steel of rotating-beam test specimen has an ultimate strength of 1100Mpa. Estimate the fatigue strength of the specimen corresponding to a life of 150k cycles of stress reversal.arrow_forward2) Use the engineering stress strain diagram provided below to answer parts (A) to (H) below (the stress-strain diagram has already been drawn for you): stress strain diagram 400 350 0 300 0 250 0 200 0 150.0 100.0 50.0 00 0 05 01 0. 15 strain A. Determine the tensile strength of this alloy. B. show the clastic, plastic and total strain on the diagram stress (Mpa)arrow_forward
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