Answered: The Kic value of a steel is M within a…

The Kic value of a steel is M within a square root of 186 MPa. If the stress to which the steel is exposed is 800 MPa, what is the maximum crack length that can be tolerated? (Take Y = 1.1)

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter8: Applications Of Plane Stress (pressure Vessels, Beams, And Combined Loadings)

Section: Chapter Questions

Problem 8.2.8P: A spherical steel pressure vessel (diameter 500 mm, thickness 10 mm) is coated with brittle lacquer...

See similar textbooks

Related questions

Q: What is the magnitude of the maximum stress that exists at the tip of an internal crack having a…

Q: A high-strength steel has a yield strength of 1,460 MPa and a KIC of 98 MPa √m. Calculate the size…

Q: A large flat plate is subjected to constant-amplitude uniaxial cyclic tensile and compressive…

Q: A cylindrical metal specimen having an original diameter of 12.5 mm and gauge length of 50.00 mm is…

Q: A component made of 7075-T6 aluminum alloy has an edge crack of 1.4 mm in length. Plane strain…

A: Given: The edge crack of aluminum alloy is 1.4 mm. The plane strain fracture toughness is 27 Mpam.…

Q: Estimate the theoretical fracture strength (in MPa) of a brittle material if it is known that…

A: Given Nominal stress = 1060 MPa Radius of curvature, k = 0.004 mm Surface…

Q: An airplane part is to be designed from view point of Fracture Toughness for which two materials are…

A: Write the expression for the surface crack length. Here, K represents the fracture toughness, Y…

Q: Calculate is the largest size (mm) internal through crack that a thick plate of aluminum alloy…

Q: What is the magnitude of the maximum stress that exists at the tip of an internal crack having a…

A: Given data : Radius of curvature (t) = 5.5*10-4 mm crack length (a) = 3*10-2 mm tensile stress (o) =…

Q: Steel subject to tensile stress of 1030 MPa, it has K1c of 54.8 MPa(m) – a handbook value If it has…

Q: What is the magnitude of the maximum stress that exists at the tip of an internal crack having a…

A: Material is failed due to excessive stress. If the applied stress on the material is greater than…

Q: 1.) Assume that a wing component on an airplane is made of an aluminum alloy with a plane strain…

A: Disclaimer: Since you have asked multiple question, we will solve the first question for you. If you…

Q: A copper wire has a nominal breaking strength of 300 mPa. Its ductility is 77% reduction in area.…

Q: What is the magnitude of the maximum stress in MPa that exists at the tip of an internal crack…

Q: A metal plate is to be exposed to cyclic tensile- compressive loading in which the maximum tensile…

Q: Will fracture occur for a material exposed to a tensile stress of 900 MPa if the material has a…

Q: d) Suppose that a wing component on an aircraft is fabricated from an aluminum alloy that has a…

Q: Interpret the following properties of brittle fracture and ductile fracture in terms of: Crack…

A: Solution: To Find: (a) Crack propagation in brittle and ductile fracture. (b) Preferred mode of…

Q: Q2:- The part of the vehicle is production from an magnesium alloy .if KIC 40 MPavm. The fracture…

A: In general, the fracture toughness of a material is defined as the ability of the material with…

Q: The chosen plate is to be subjected to a variable load with a stress range of 100 MN m-2. The crack…

A: Given: The stress acting on plate = 100 MN/m2 The crack growth in plate, da/dN = 1.7x10-12(∆K)4

Q: A very wide plate with a 2" long center crack is heated in order to be brazed to its end supports.…

Q: 3: Performing a fatigue threshold test using manual load controls in a servo-hydraulic testing…

Q: Question 5 A solid circular cross-section rod made up of aluminium having 20 mm diameter and 300 mm…

A: Find the yield stress and youngs modulus and total length just after fracture.

Q: component mad alloy has an edge crack length. strain fracture toughness of this alloy is given as 27…

A: 7075-T6 Aluminium Alloy, Length, l = 1.4 mm Fracture toughness, K = 27 MPam Geometrical Factor, Y =…

Q: Compute the minimum critical surface crack (edge crack) length if the fatigue life must be a minimum…

Q: Consider a brittle ceramic material that has an elastic modulus of 275 GPa and a specific surface…

Q: An aircraft component is fabricated from an aluminum alloy that has a plane strain fracture…

A: When a tensile load is applied on any brittle material largest size crack presents normal to it.…

Q: A metallic rod with an initial diameter of 10 mm and an initial length of 50 mm is subjected to the…

A: "Since you have posted a question with multiple sub parts we will solve first three subpart for you…

Q: A metal showed a tensile strength of 414 MPa, assuming that the metal is Q2- flaw-free. A thin crack…

Q: A metallic tube has an outer diameter of 500 mm and a wall thickness of 30 mm (Figure 4). The…

A: Given: The tube diameter, D = 500 mm The tube thickness, t = 30 mm = 0.03 m The internal pressure =…

Q: Determine the critical crack length (mm) for a crack in a thick 2024-T6 alloy plate that has a…

A: Calculate the half of the through crack length for a 2024 T-6 alloy oplateKic=γσfπaa=1πKicγσf2Kic=…

Q: Determine the critical crack length (mm) for a through crack in a thick 2024-T6 alloy plate that has…

Q: 1. Explain what is meant by the term fast fracture, stating its causes, and give two examples from…

A: 1. Fast fracture: It is a dangerous and fastest mode of fracture, in which materials fail quickly at…

Q: An Al2O3 part contains both internal cracks with a maximum length of 0.075 mm, and external cracks…

Q: tension to a stress of 750 MPa. We can assume that the critical stress (o crtical) require for crack…

A: b.σmax=σinitial=25Gpaσmax=2σ0aρσ0=25×1032×0.3750.001applied stress σ0=645.5Mpa

Q: The fuselage of an airliner can be considered as a thin-walled tube internally pressurized with a…

Q: What is the maximum internal flaw size allowable for a 304 Stainless steel alloy that is loaded to a…

Q: Imagine that you have two cracked components that are identical to one another except that Component…

A: Fatigue is a very complex process and it depends upon 1)type and nature of loading 2) size of…

Q: (a) Calculate modulus of elasticity, ultimate tensile strength, elongation at fracture in…

A: Elastic modulus = stress/ strain in elastic region for 9900 N

Q: A 200mm long rod with a diameter of 50mm is loaded with a 4kN weight. The rod final length 201.314mm…

A: Given data :- L = 200 mm D = 50 mm W = 4KN Final length = 201.314 mm Final diameter = 42 mm Load…

Question

The Kic value of a steel is M within a square root of 186 MPa. If the stress to which the steel is exposed is 800 MPa, what is the maximum crack length that can be tolerated? (Take Y = 1.1)

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

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 spherical steel pressure vessel (diameter 500 mm, thickness 10 mm) is coated with brittle lacquer that cracks when the strain reaches 150 X 10~ (see figure). (a) What internal pressure p will cause the lacquer to develop cracks? (Assume E = 205 GPa and v = 0.30.) (b) If the strain is measured at 125 x 10-6, what is the internal pressure at that point?
Determine the strain energy per unit volume (units of psi) and the strain energy per unit weight (units of in ) that can be stored in each or the materials listed in the accompanying table, assuming that the material is stressed to the proportional limit. DATA FOR PROBLEM 2.7-5 Material Weight Density (lb/in3) Modulus of Elasticity (ksi) Proportional Limit (psi) Mild sleel 0.284 30,000 36,000 Tool steel 0.284 30,000 75,000 Aluminum 0.0984 10,500 60,000 Rubber (soft) 0.0405 0.300 300
(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 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, GM
(a) An AISI steel plate has width W = 30 cm and a central crack with size of 3 mm. The plate is under a uniform stress. Find the maximum value of the stress is KIc = 50 MPa m1/2. (b) If the part has to operate at a stress of 1,500 MPa, compute the maximum crack size that the plate can have.
3- Using the equation Kic= of Vna, plot the fracture stress (MPa) for aluminium alloy 7075- T651 versus surface crack size a (mm) for a values from 0.2 mm to 2.0 mm. What is the minimum size surface crack that will cause catastrophic failure? KỊc=24.2 Mpavm
Consider a solid bar with 1.00 in diameter subjected to a bending moment, M, and a twisting moment, T, with equal magnitudes, so that M = T. M a) If the bar is made of a brittle material that fails in uniaxial tension at 6000 psi, what is the minimum value of M and T that would cause brittle failure? Make a sketch of the bar and show the orientation of the fracture plane relative to the axial direction of the bar. b) If the bar is made of a ductile material with yield stress of 36000 psi, what is the minimum value of M and T that would cause yielding? Assume von-Mises theory. Hint: Start by determining the state of stress at a point on the top of the bar.
A high-strength steel has a yield strength of 1,460 MPa and a KIC of 98 MPa √m. Calculate the size of a surface crack that will lead to catastrophic failure at an applied stress of 3/4Y.S.
Example: Convert the change in length data in Table 3-2 to engineering stress and strain and plot a stress-strain curve Homework- help Table 3-2 The results of a tensile test of a 0.505 in. diameter aluminum alloy test bar, initial length (1o) = 2 in. Calculated LTO Load (Ib) Change in Length (in.) Stress (psi) Strain (in./in.) 0.000 1000 0.001 0.0005 4,993 14,978 24,963 34,948 37,445 39,442 39,941 39,691 37,944 3000 0.003 0.0015 5000 0.005 0.0025 7000 0.007 0.0035 7500 0.030 0.0150 7900 0.080 0.0400 8000 (maximum load) 0.120 0.0600 7950 0.160 0.0800 7600 (fracture) 0.205 0.1025
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. 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.
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. 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.
Compute 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 m