Answered: A high-strength steel has a yield…

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.

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 8.2.7P: (a) Solve part (a) of the preceding problem if the pressure is 8.5 psi, the diameter is 10 in., the...

See similar textbooks

Related questions

Q: 5. An ASTM505 grade steel has fracture toughness (K1.) of 122 MPa(m)05 and room temp Y.S. of 1100…

Q: A material with an Ultimate Tensile Strength (UTS) of 350 Mpa is loaded cyclically about mean stress…

A: The relationship between Goodman is an equation used to measure the interplay of mean and…

Q: A 25 mm diameter cylindrical rod fabricated from 2014-T6 Al alloy is subjected to repeated…

Q: A hot-rolled steel has a yield strength of S,= S, = 100 kpsi and a true strain at fracture of &=…

Q: A gauge # 10 HSLA steel for an automotive application has a Young’s modulus of 200 GPa, a yield…

A: Find the punch force required

Q: A circular, metal rod of diameter 1 cm is loaded in tension. When the tensile load is 5kN, the…

Q: Calculate the reliability if information about both the strength data (170 ± 20 MPa) and stress data…

A: Given: The standard deviation based on strength data = 2x20 = 40 MPa The standard deviation based on…

Q: 2.) An S-five ninety alloy specimen nine hundred mm long will be subjected to eighty MPa tensile…

A: Solution; Given Data: L=900 mmσ=80 MPaT=815oCt=5000 hrs To Find: ∆L

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

Q: Sketch a tensile member with (a) a rectangular crosssection, (b) a solid circular cross section, and…

Q: If the ultimate strength of a steel rotating-beam test specimen was around 1600 MPa. Estimate the…

Q: 1. A steel rod is subjected to tension force (diameter: 30 mm) is made of annealed AISI 1015 steel.…

Q: To manufacture a piston with a circular cross section, an alloy steel bar is required whose length…

Q: A hot-rolled steel has a yield strength of S= S= 100 kpsi and a true strain at fracture of &= 0.55.…

A: NOTE:- As per our company guidelines we are supposed to answer only first 3 sub-parts. Kindly repost…

Q: A tensile stress of 9000 psi and a shear stress of 4000 psi are induced in a brittle material whose…

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

Q: The data shown in the accompanying table are From a tensile test of high-strength steel. The test…

Q: Consider a 1 m-long bar of 2024-T81 aluminum alloy with a 20mm-diameter and the following property…

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 Weight = 4KN Final length = 201.314 mm Final diameter = 42 mm…

Q: A circular bar - shown below, made of AISI 1040 OQT 1300 steel (SU = 600 MPa), is loaded with an…

A: Given: Steel of a particular grade. Ultimate stress, Su = 600 MPa D = 36mm d = 30 mm r = 2.4mm No of…

Q: A steel rod is subjected to tension force (diameter: 30 mm) is made of steel. Yield strength of the…

A: given data as per questiondiameter of the rod=30 mmyield strength of rod =290 Mpa(a)calculating Pwe…

Q: A tensile test is carried out on a bar of a mild steel of diameter 2 cm. the bar yields under a load…

Q: A machine part is made of forged steel with Su = 630 MPa, S'= 0.5 Su .Estimate the life cycles (L)…

A: Given: The ultimate strength, Su = 630 MPa The endurance strength, S;e = 0.5Su The allowable…

Q: The is a graphical representation of fatigue strength on the Y-axis and the number of stress cycles…

Q: A tensile stress is to be applied along the axis of a cylindrical brass rod with diameter of 200 mm.…

A: since you haven't mentioned the value of poison ration and elastic modulus that's why the reference…

Q: Q6/ A material has a true stress -strain curve given by o=Kɛ", derive and calculate the true and…

A: Given data: σ=Kεnk=689.47 kPan=0.5 Need to determine the true ad engineering ultimate tensile…

Q: A tensile test is performed to determine the strength constant C and strain-rate sensitivity…

Q: A three-point bending test is conducted on a cylindrical specimen of aluminum oxide (E-400 GP2, Kım4…

A: The behaviour of the material under different loads is bending test. Given data;- Aluminium oxide,…

Q: A stainless-steel slab having a edge crack of length 5 mm is subjected to a stress of 375 MPa.…

Q: A tie rod made of quenched and tempered 4340 steel is used as a critical linkage in an industrial…

A: Given :- Type of steel : 4340 steel Tensile strength : 550 Mpa a : 3.5 mm

Q: modulus, E 200 700 yield strength, Øy (MPa) 900 TH-SAI-2.55n titanium alloy 600 4340 steel tensile…

A: for 4340 steel tensile stress σT=550 Mpa compressive stress σC= -550 MpaKIC = 55 Mpa m crack…

Q: Example 2 Assume that a material has true stress - true strain curve given by: O = 100,000 ɛ0.5 psi.…

Q: A steel ship deck plate is 40 mm thick and 10 m wide. It is loaded with a nominal uniaxial tensile…

A: The resistance of an item to a force that would tear it apart is tensile stress (σ). Tensile stress…

Q: Draw a Stress/Strain graph of a mild tensile steel and identify the limit of proportionality and the…

A: stress strain graph of a mild steel which is tensile in nature shows several strength like…

Q: a) The principal stresses experienced by a component are -100 MPa and 150 MPa. If a safety factor of…

Q: A material with an Ultimate Tensile Strength (UTS) of 400 Mpa is loaded cyclically about mean stress…

A: Given data as per question Ultimate Tensile Strength (UTS) of material =400 Mpa mean stress =80…

Q: With a given specific surface energy for an unknown material is 0.40 J/m2 and its value of Young’s…

Q: A nickel alloy rod specimen having an original diameter of 5.0 mm only experienced an elastic…

Q: Question 1 A circular bar - shown below, made of AISI 1040 OQT 1300 steel (Su = 600 MPa), is loaded…

A: Given data: Calculate the required ratios.

Q: hat is the flexural stress of a 5mm diameter cylindrical ceramic specimen pjected to 275N load in a…

A: Ans- 252 MPa Option first is correct.

Q: The Kic value of a steel is M within a square root of 186 MPa. If the stress to which the steel is…

A: Given data: The value of Kic is, Kic=186 MPa·m. The stress on the steel, σ=800 MPa. The sample…

Q: For a point on a steel specimen, the principal stresses o of 230 MPa and o2 of 15 MPa are given.…

Q: a) A core sample having length to diameter ratio of 2.5 experienced a strain of 0.94 after being…

A: Given that, strain(ε)=0.94 length to diameter ratio=2.5 initial length(L)=8cm maximum…

Concept explainers

Thermal Properties of Materials

In mechanical engineering, the thermal property is represented as the physical quantity that is relevant to the application of heat. The thermal properties are evaluated by variations in any specific material due to low heat or high heat. The quantities that influence the thermal property of the materials are mass, density, temperature, and many others.

Question

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.

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 with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Types of Properties of Engineering Materials

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 wine of length L = 4 ft and diameter d = 0.125 in. is stretched by tensile forces P = 600 lb. The wire is made of a copper alloy having a stress-strain relationship that may be described mathematically by =18,0001+30000.03(=ksi) in which is nondimensional and has units of kips per square inch (ksi). (a) Construct a stress-strain diagram for the material. (bj Determine the elongation, of the wire due to the Forces P. (c) IF the forces are removed, what is the permanent set of the bar? (d) If the forces are applied again, what is the proportional limit?
(a) Solve part (a) of the preceding problem if the pressure is 8.5 psi, the diameter is 10 in., the wall thickness is 0,05 in., the modulus of elasticity is 200 psi, and Poisson's ratio is 0.48. (b) If the strain must be limited to 1.01, find the maximum acceptable inflation pressure
In the picture there is a sketch of a socket wrench. Assume the wrench is held at a fixed point “A”. The yield stress of the material is known to be 400 MPa. Answer the questions below Describe the stresses at point “A” and their causes and calculate the stresses. Determine the factor of safety against yield assuming the Tresca yield criteria. Determine the factor of safety against yield assuming the von Mises yield criteria using both principal stresses and “Cartesian” stresses. Do your values match or not, and is this expected? Explain. Do the calculated values make sense with the respect to the Tresca value? Explain, why or why not?
In the attached picture there is a sketch of a socket wrench. Assume the wrench is held at a fixed point “A”. The yield stress of the material is known to be 500 MPa. Answer the questions below Describe the stresses at point “A” and their causes and calculate the stresses. Determine the factor of safety against yield assuming the Tresca yield criteria. Determine the factor of safety against yield assuming the von Mises yield criteria using both principal stresses and “Cartesian” stresses. Do your values match or not, and is this expected? Explain. Do the calculated values make sense with the respect to the Tresca value? Explain, why or why not?
2. In the stress-strain curve for steel shown below, identify following stresses in ksi and write their values in the space below: 2.1. Yield Point: ksi 2.2. Ultimate Tensile Strength: ksi 60- 400 350 50 300 E 40 250 30 200 150 20 100- 10 50 0. Strain, in/in or m/m J stv A Aa Stress, MPa Stress, ksi
Problem 2: Use an eigenvalue approach to solve for the principal stresses and directions for the state of stress shown below. Show the principal stresses on a properly oriented element of material. 20 mPa
a)Draw the stress-strain curve of a ductile material such as that of a ductile steel and discuss the various regions of the curve. Explain the difference between a ductile and brittle material and the concept of ductility and its measurement. b)A machine part 10 mm thick, having the dimensions shown in the figure, is to be subjected to cyclic loading. If the maximum stress is limited to 60 MPa, determine the allowable force P. Approximate the stress concentration factors form the graph given. Where might a potential fracture occur?
Derive the following equation for computing shear stress in a solid bar along an oblique plane with angle B with respect to the vertical plane. The bar is subjected to centric axial loading. sin 0 cos 0 T = Ao
Q2/ A steel bolt 0.005 m² in cross-section is subjected to a Static mean load of load of 200KN. What Value of Completely reversed direct fatigue load will Produce failure in 10² Cycles? Use the GERBER relationsip and assume that the Yield sureg. Strength of the steel is 400 MN/M² and the Stress required to produce. failure at 107 Cycles under Zero mean stress Condition is 300 MN/m².
A mild steel rod having a stress of 50 Mpa and having a diameter of 20 mm What is the force applied on it.
Sketch a tensile member with (a) a rectangular crosssection, (b) a solid circular cross section, and (c) a circulartubecross section, and label the dimensions symbolically (e.g.,label the radius for the solid circular case). For each member, write out the definition of engineering stress in terms of the actual dimensions of the component. If therectangular member has dimensions of width and thicknessequal to 1 cm 0.3 cm, what would be the radius of a solidcircular member such that the stress is equal for an equaltensile load? If a tube has an outer radius equal to that ofthis same solid cylinder, what is the maximum inner radiussuch that the stress does not exceed 200% of the stress inthe solid cylinder?
A fatigue test was conducted in which the mean stress was 70 MPa (10150 psi), and the stress amplitude was 230 MPa (33360 psi). (a) Compute the maximum stress level. i (b) Compute the minimum stress level. i (c) Compute the stress ratio. i MPa i MPa (d) Compute the magnitude of the stress range. MPa