Foundations of Materials Science and Engineering
6th Edition
ISBN: 9781259696558
Author: SMITH
Publisher: MCG
expand_more
expand_more
format_list_bulleted
Textbook Question
Chapter 7.10, Problem 25AAP
What is the largest size (in mm) of internal through crack that a thick plate of aluminum alloy 7075-T651 can support at an applied stress of (a) three-quarters of the yield strength and (b) one-half of the yield strength? Assume Y = 1.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
Calculate is the largest size (mm) internal through crack that a thick plate of aluminum alloy 7075-T651 can support at an applied stress of:
(a) three-quarters of the yield strength, and
(b) one-half of the yield strength
Assume Y = 1.
Given:
KIC = 24.2 MPa (sq. rt.(m) and σys = 495 MPa
A high-strength steel has yield strength of 1165 MPa and fracture toughness of 95 MPavm.
Calculate the size of an internal crack that will lead to catastrophic failure at an applied stress
of 80% yield strength. (Y = 1.00 for internal crack, and Y=1.12 for surface crack)
(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 m
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...
Additional Engineering Textbook Solutions
Find more solutions based on key concepts
The triple jump is a track-and-field event in which an athlete gets a running start and tries to leap as far as...
Vector Mechanics For Engineers
Consider a subsonic compressible flow in cartesian coordinates where the velocity potential is given by (x,y)=V...
Fundamentals of Aerodynamics
How is the hydrodynamic entry length defined for flow in a pipe? Is the entry length longer in laminar or turbu...
Fluid Mechanics Fundamentals And Applications
Locate the centroid of the area. Prob. 9-17
INTERNATIONAL EDITION---Engineering Mechanics: Statics, 14th edition (SI unit)
Repeat Problem 4-6 except solve by the vector loop method.
DESIGN OF MACHINERY
6–1C A mechanic claims to have developed a car engine that runs on water instead of gasoline. What is your resp...
Thermodynamics: An Engineering Approach
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.Similar questions
- A component made of 7075-T6 aluminum alloy has an edge crack of 1.4 mm in length. Plane strain fracture toughness of this alloy is given as 27 MPavm. Geometrical factor of the crack is given as 1.2.| (a) If this component is subjected to uniaxial tensile stress of 380 MPa, determine whether sudden brittle fracture will occur or not. (b) Calculate the maximum allowable crack size for this component in order not to be failed in brittle manner under a stress of 1000 MPa.arrow_forwardSteel subject to tensile stress of 1030 MPa, it has K1c of 54.8 MPa(m) – a handbook value If it has a ‘largest surface crack’ .5 mm (.0005 m) long will it grow and fracture? What crack size will result in failure?arrow_forwardA low-nickel steel in the heat-treated condition had an 'engineering' tensile strength of 708 N/mm2. The reduction in area of cross-section at the fracture was 44%. What was the true tensile strength of the steel?arrow_forward
- A component made of 7075-T6 aluminum alloy has an edge crack of 1.4 mm in length. Plane strain fracture toughness of this alloy is given as 27 MPavm. Geometrical factor of the crack is given as 1.2. (a) If this alloy is subjected to uniaxial tensile stress of 380 MPa, determine whether sudden brittle fracture occurs or not. (b) Calculate the maximum allowable crack size for this component in order not to be failed in brittle manner under a stress of 1000 MPa (Density of steel 7.85 g/cm³, 9.80665 N = 1 kg). Modulus of elastisity, GPa Ultimate tensile Yield strength, Alloy strength, MPa MPa 2014 Al alloy Bronze (92Cu-8Sn) High carbon steel Pure Titanium 97 186 380 72 110 152 380 615 215 240 330 107arrow_forwardPart B The stress-strain diagram for a steel alloy having an original diameter of 1.0 in. and a gage length of 7 in. is shown in the figure below. (Eigure 1) Determine the load on the specimen that causes yielding. Express your answer to three significant figures and include appropriate units. HA Py- Value Units Submit Request Answer Part C Figure t oft> Determine the ultimate load the specimen will support. Express your answer to three significant figures and include appropriate units. NO 70 60 50 P. - Value Units 40 30 20 Submit Bequest Answer 10 (in/in) o G04 0m 12 016 020 024 02 a aa omams Provide Feedbackarrow_forwardExample 2 Assume that a material has true stress - true strain curve given by: O = 100,000 ɛ0.5 psi. Calculate the true ultimate tensile strength and engineering UTS of this material. 96arrow_forward
- Question: Some aircraft component is fabricated from an aluminum alloy that has a plane strain fracture toughness of 40 MPa sqrt(m) (36.4 ksi sqrt(in.)). It has been determined that fracture results at a stress of 300 MPa (43,500 psi) when the maximum (or critical) internal crack length is 4.0 mm (0.16 in.). For this same component and alloy, will fracture occur at a stress level of 260 MPa (38,000 psi) when the maximum internal crack length is 6.0 mm (0.24 in.)? Why or why not?arrow_forwardA cylindrical specimen of mild steel having 20% ductility (in percentage of reduction in area) is tensile tested and fractured at a stress of 600 MPa. If original diameter is 10 mm, what is the true stress at fracture. O 810 MPa 492MPA O 602 MPa O 750 MPaarrow_forwardCompute the minimum critical surface crack (edge crack) length if the fatigue life must be a minimum of 5.0 x 106 cycles. Assume the initial maximum edge surface crack length of 1.80 mm and a maximum tensile stress of 160 MPa and minimum stress of 0 MPa. Assume m = 1.8 and A= 7.5 x 1013 in MPa and meter units, Assume Y= 1.25. O a. 4.26 mm O b. 5.38 mm OC. 2.36 mm O d.0.125 marrow_forward
- An annealed-steel specimen has a 0.750 in. diameter and a 12.000 in. gage length. Maximum load is reached at 60,000 lbs and fracture occurs at 30,000 Ibs. For this steel, E= 360 x 10° psi. (a) Draw a sketch of stress-strain diagram for a typical steel in tension? (b) What is the ultimate tensile strength (UTS)? (c) Why does fracture occur at a lower load than the maximum load? (d) What is the elongation when a tensile stress of 30,000 psi is applied? A 400-mm-long rod with a diameter of 4.5 mm is loaded with a 5000-N weight. If the diameter decreases to 3.5 mm, compute the final length of the rod. 3. 4. A steel rod 1.5 m long and 75 mm x 75 mm in cross-section is subjected to a tensile force of 160 kN. Determine the elongation of the rod, if modulus of elasticity for the rod material is 900 GPa. 5. A hollow cylinder 4.5 m long has an outside diameter of 80 mm and inside diameter of 60 mm. If the cylinder is carrying a load of 75 kN, find the stress in the cylinder. Also find the…arrow_forwardQuestion 6 What is the calculated fracture toughness, K, for the perspex specimen in MPa root m? Give your answer to 2 decimal places. P = 250 N, crack length = 5.5 mm W= 13.3 mm, B = 5.45 mm Note that the span length (s) is 38mm. Take f(a/W) as 0.78arrow_forwardConsider a 1 m-long bar of 2024-T81 aluminum alloy with a 20mm-diameter and the following property data: E=70 GPa Y.S = 410 MPa T.S. = 480 MPa % Elongation at failure = 8 % What is the maximum tensile load that can be permitted without producing extensive plastic deformation of the bar? Your answer should be in units of Newtons (N).arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Elements Of ElectromagneticsMechanical EngineeringISBN:9780190698614Author:Sadiku, Matthew N. O.Publisher:Oxford University PressMechanics of Materials (10th Edition)Mechanical EngineeringISBN:9780134319650Author:Russell C. HibbelerPublisher:PEARSONThermodynamics: An Engineering ApproachMechanical EngineeringISBN:9781259822674Author:Yunus A. Cengel Dr., Michael A. BolesPublisher:McGraw-Hill Education
- Control Systems EngineeringMechanical EngineeringISBN:9781118170519Author:Norman S. NisePublisher:WILEYMechanics of Materials (MindTap Course List)Mechanical EngineeringISBN:9781337093347Author:Barry J. Goodno, James M. GerePublisher:Cengage LearningEngineering Mechanics: StaticsMechanical EngineeringISBN:9781118807330Author:James L. Meriam, L. G. Kraige, J. N. BoltonPublisher:WILEY
Elements Of Electromagnetics
Mechanical Engineering
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Oxford University Press
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:9780134319650
Author:Russell C. Hibbeler
Publisher:PEARSON
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:9781259822674
Author:Yunus A. Cengel Dr., Michael A. Boles
Publisher:McGraw-Hill Education
Control Systems Engineering
Mechanical Engineering
ISBN:9781118170519
Author:Norman S. Nise
Publisher:WILEY
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Cengage Learning
Engineering Mechanics: Statics
Mechanical Engineering
ISBN:9781118807330
Author:James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:WILEY
Understanding Failure Theories (Tresca, von Mises etc...); Author: The Efficient Engineer;https://www.youtube.com/watch?v=xkbQnBAOFEg;License: Standard youtube license