Foundations of Materials Science and Engineering
6th Edition
ISBN: 9781259696558
Author: SMITH
Publisher: MCG
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter 7.10, Problem 28AAP
(a) Determine the critical crack length (mm) for a through crack in a thick 2024-T6 alloy plate that has a fracture toughness
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these 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 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
107
(a) An AISI 4340 steel plate has a width W of 30 cm and has a central crack 2a of 3 mm. The plate is under a uniform stress σ. This steel has a KIc value of 50 MPa m1/2. Find the maximum stress for this crack length.
(b) If the operating stress is 1,500 MPa, compute the maximum crack size that the steel may have without failure
A tie rod made of quenched and tempered 4340 steel is used as a critical linkage in an industrial apparatus. The rod is subjected to an alternating cyclic tensile/compressive stress from 550 MPa to -550 MPa. An inspection of the rod revealed a 3.5 mm deep edge crack on the surface of the rod. Please answer the following question for the rod given the properties in the table and curve below and fracture toughness of 55 MPa√m. (NOTE: Y=1.12 for edge crack and use “a” not “2a” for the length of the crack)
1. Given the S-N curve for 4340 steel, is there an endurance limit? If so, what is the stress value for the endurance limit?
2. If there were no cracks and the stress on the rod still alternated from 550 MPa to -550 MPa with mean stress of zero, what would be the cycles to failure?
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
Find the change in length of side AB.
Mechanics of Materials, 7th Edition
A biological fluid moves at a flow rate of m=0.02kg/s through a coiled, thin-walled, 5-mm-diameter tube submerg...
Fundamentals of Heat and Mass Transfer
Three rigid bodies, 2,3, and 4, are connected by four springs as shown in the figure. A horizontal force of 1,0...
Introduction To Finite Element Analysis And Design
For the beam loading of Figure P334, draw the complete shearing force and bending moment diagrams, and determin...
Machine Elements in Mechanical Design (6th Edition) (What's New in Trades & Technology)
List several uses of the arbor press.
Machine Tool Practices (10th Edition)
A nozzle at A discharges water with an initial velocity of 36 ft/s at an angle with the horizontal. Determine ...
Vector Mechanics for Engineers: Dynamics
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
- The flexural (or fracture) strength of brittle materials may be determined using a variation ofEquation 8.1. Compute the critical crack tip radius (row sub t in nm) for an Al2O3 specimen thatexperiences tensile fracture at an applied stress (sigma initial) of 275 MPa. Assume a critical surfacecrack length (a) of 2 * 10^-3 mm and a theoretical fracture strength of E/10, where E is themodulus of elasticity (393 GPa). Note, fracture will occur when sigma sub m reaches the theoreticalfracture strength of the material.given equation: sigma sub n = 2*sigma initial*sqrt(a/row sub t)arrow_forwardA tie rod made of quenched and tempered 4340 steel is used as a critical linkage in an industrial apparatus. The rod is subjected to an alternating cyclic tensile/compressive stress from 550 MPa to -550 MPa. An inspection of the rod revealed a 3.5 mm deep edge crack on the surface of the rod. Please answer the following question for the rod given the properties in the table and curve below and fracture toughness of 55 MPa√m. (NOTE: Y=1.12 for edge crack and use “a” not “2a” for the length of the crack) 1. At the given crack size and tensile loading would the rod undergo instantaneous fast fracture, assuming plane strain conditions? Show calculations to back up your conclusions.arrow_forwardA tie rod made of quenched and tempered 4340 steel is used as a critical linkage in an industrial apparatus. The rod is subjected to an alternating cyclic tensile/compressive stress from 550 MPa to -550 MPa. An inspection of the rod revealed a 3.5 mm deep edge crack on the surface of the rod. Please answer the following question for the rod given the properties in the table and curve below and fracture toughness of 55 MPa√m. (NOTE: Y=1.12 for edge crack and use “a” not “2a” for the length of the crack) 1. What is the minimum crack size that would cause instantaneous fast fracture at the current maximum axial tensile loading, assuming plane strain conditions apply? If the resolution limit of the flaw detection apparatus were 1.5 mm, would this flaw be subject to detection? Show calculations to back up your conclusions.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 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_forwardA specimen of a steel alloy with a plane strain fracture toughness of 22.1 MPavm. The largest surface crack is 0.6 mm long? Assume that the parameter Y has a value of 0.5. What is the critical stress in MPa. Write your answer with 2 decimal places. Answer: 0 dºvo vo (0) 00 00, GMarrow_forwardHelp me pleasearrow_forward
- An airplane part is to be designed from view point of Fracture Toughness for which two materials are available. Consider Y=1.2 and ow =400 MPa, calculate (a) maximum internal crack length under the given condition for each material type. (b) How much stress on Aluminum part can be increased/decreased to comply with the critical crack length of 3 mm. 1/2 Кіс, МPa m Aluminum (7075-T3) 30 Titanium Ti-6AI-4Va 55arrow_forwardDetermine the critical crack length (mm) for a through crack in a thick 2024-T6 alloy plate that has a fracture toughness Kic= 23.5 MPa vm and is under a stress of 300 MPa. Assume Y = 1.arrow_forward1 Q 4 N Current Attempt in Progress 30¹ F1 A specimen of a 4340 steel alloy with a plane strain fracture toughness of 54.8 MPa m (50 ksi vin.) is exposed to a stress of 978.0 MPa (141800 psi). Assume that the parameter Y has a value of 1.18. - Your answer is partially correct. @ 2 (a) If the largest surface crack is 0.9 mm (0.03543 in.) long, determine the critical stress o. i 1608.13 (b) Will this specimen experience fracture? W S Yes v eTextbook and Media Hint Save for Later 38 command F2 # 3 E D 80 F3 X C $ 4 R MPa 000 000 F4 F % 5 V F5 T G 6 B MacBook Pro Y H & 44 N U 8 J Attempts: 1 of 5 used en l M 9 K DD F9 0 < H I -O L Submit Answer A F10 P V . t C F11 { command option [ + " = ? |arrow_forward
- A structural beam is built from steel with a yield strength of 345 MPa. The structure has a minimum service temperature of 5 oC, where the fracture toughness of the steel KIC = 60 MPam. What is the minimum surface crack lengths that must be detected by quality control to ensure that the full yield strength of the steel is available in the beam? Assume geometric parameter Y = 1 and plain strain conditions. Answer in millimeters.arrow_forwardurrent Attempt in Progress 1 X Incorrect. Calculate the maximum internal crack length allowable for a Ti-6Al-4V titanium alloy component that is loaded to a stress one-half of its yield strength. Assume a yield strength 910 MPa, a plane strain fracture toughness of 55 MPam and that Y = 1.47. 2 2.96 eTextbook and Media Hint Save for Later W S ** F2 X #3 I E D 20 F3 $ 4 C mm R F olo Lo % 5 V T Garrow_forward(b) The crack tip radius of a blunt crack can be approximated as p= CTOD/2. Using Creager-Paris relationship (for a slender notch) estimate the maximum stress oyy for a blunt crack in plane stress condition.arrow_forwardarrow_back_iosSEE MORE QUESTIONSarrow_forward_ios
Recommended textbooks for you
Elements Of ElectromagneticsMechanical EngineeringISBN:9780190698614Author:Sadiku, Matthew N. O.Publisher:Oxford University Press
Mechanics of Materials (10th Edition)Mechanical EngineeringISBN:9780134319650Author:Russell C. HibbelerPublisher:PEARSON
Thermodynamics: An Engineering ApproachMechanical EngineeringISBN:9781259822674Author:Yunus A. Cengel Dr., Michael A. BolesPublisher:McGraw-Hill Education
Control Systems EngineeringMechanical EngineeringISBN:9781118170519Author:Norman S. NisePublisher:WILEY
Mechanics of Materials (MindTap Course List)Mechanical EngineeringISBN:9781337093347Author:Barry J. Goodno, James M. GerePublisher:Cengage Learning
Engineering 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
Material Properties 101; Author: Real Engineering;https://www.youtube.com/watch?v=BHZALtqAjeM;License: Standard YouTube License, CC-BY