### Crack Tip Stress Calculation#### Problem StatementWhat is the magnitude of the maximum stress that exists at the tip of an internal crack having a radius of curvature of 2.5 × 10^-4 mm (0.9843 × 10^-5 in.) and a crack length of 3 × 10^-2 mm (1.181 × 10^-3 in.) when a tensile stress of 140 MPa (20310 psi) is applied?#### Answer Input- Input field for the answer in units of GPa. #### Interactive Elements- **Hint Section**: - Users can click to "Save for Later". - The saved work is last saved 1 second ago. - Information that saved work will be auto-submitted on the due date and that the auto-submission can take up to 10 minutes.- **Attempt Counter**: - Indicates "Attempts: 3 of 5 used". - Button to "Submit Answer".#### Additional Resources- eTextbook and Media section available but not expanded in the image.##### NoteThis page is an example of an educational question that involves the application of fracture mechanics concepts to calculate the stress at the tip of an internal crack under tensile loading. #### Visual Explanation- No graphs or diagrams are included in the provided image.This educational tool helps students understand the critical variables and calculation methods involved in materials science and mechanical engineering contexts, specifically related to fracture and stress analysis.

What is the magnitude of the maximum stress that exists at the tip of an internal crack having a radius of curvature of 2.5 x 10 mm (0.9843x 105 in.) and a crack length of 3x 102 mm (1.181 x 103 in.) when a tensile stress of 140 MPa (20310 psi) is applied? GPa

What is the magnitude of the maximum stress that exists at the tip of an internal crack having a radius of curvature of 2.5 x 10 mm (0.9843x 105 in.) and a crack length of 3x 102 mm (1.181 x 103 in.) when a tensile stress of 140 MPa (20310 psi) is applied? GPa

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Related questions

Q: 1.10 Link BD consists of a single bar 1 in. wide and in. thick. Knowing that each pin has a -in.…

Q: 12mm dia 18mm dia. P=12 kN 2 m. 12mm dial 2. Three steel cable jointly support a load of 12kN. The…

Q: The velocity distribution for the flow of oil (SAE 10W) at 38°C between two walls is given by V =…

A: V=100y0.1-y Shear stress is a type of stress that arises when a force is applied parallel to a…

Q: Problem 2. From the given section of a wide flange shown in the figure, it carries a vertical shear…

Q: A rubber band 20 cm long has a cross-sectional area of 0.04cm^2. What load (in dynes) will stretch…

A: Given data: The length of the rubber band is L = 20 cm. The cross-sectional area of the rubber band…

Q: A 5.25-m-long steel rod must not stretch more than 2.48 mm and the normal stress must not exceed 181…

Q: 4. A steel shaft 4 ft long that has a diameter of 5 in is subjected to a torque of 20 kip-ft. Use a…

A: In this question we need to find 1st formula for maximum shearing stress then find the angle of…

Q: f a compressional stress of 200.0 N is applied to a copper rod having a diameter of .500 cm and a…

Q: 1. In the system shown, cable A has an Ultimate Stress of 201 MN/m². For this application the cable…

Q: 4. A 5.0 inches cube chiffon cake on a table was exposed to a shearing force of 0.20 The upper…

A: Given-The shear modulus of the cake is G=0.05 lb/in2Slide of chiffon l=5 inchesShearing force…

Q: Q6 300 N 200 mm The acrylic plastic rod is 200 mm long and 15 mm in diameter. E, = 1.20 GPa, and v,…

Q: Two solid cylindrical rods support a load of P = 37 kN as shown in Figure below. R has a diameter of…

A: We know that we first draw a free body diagram of the system given as Now We calculate the angle…

Q: diameter of a steel cable to support a tension of 20 kN? 2. A rubber band 20 cm long has a…

A: According to the guidelines issued by the company we are supposed to answer only first question.…

Q: P-1. A steel shaft 2 m long that has a diameter of 90mm. is subjected to a torque of 10 KN-m. Use G…

A: Given data d=90 mmT=10 kN-mG=200 GPa Here, d is the diameter and T is the torque. While G is the…

Q: An athlete doing sports activities running in the hot sun. Before doing the activity, the…

A: Given: The physiological parameters before the activity: Tcore0 = 36.5oC HR0 = 83 bpm The…

Q: 1-66. Determine the largest load P that can be applied to the frame without causing either the…

Q: 1.18 A load P is applied to a steel rod supported as shown by an alu- minum plate into which a…

A: l=12 mm sheering stress=180mPa The Stress of an aluminum plate: 70mPA

Q: The 530-lblb load is applied along the centroidal axis of the member. (Figure 1) PART A) Determine…

A: Given:-

Q: A rectangular steel block is 4 inches long in the x direction, 3 inches long in the y direction, and…

A: Given: Lx=4 inch Ly=3 inch Lz=4 inch Fx=48 kips Fy=-60 kips Fz=54 kips

Q: Suppose that a 6-mm diameter steel has a breaking stress of 5.5x108 Pa. What will be the diameter…

Q: 5-77. The steel shaft has a diameter of 40 mm and is fixed at its ends A and B. If it is subjected…

A: Diameter of steel shaft , d = 40mm The applied force, F= 3kN Rigidity modulus of the shaft, Gst =…

Q: 4. A solid steel structure is supported by 4 plastic legs 1 cm in diameter. The Su of the plastic is…

Q: Two triaxial tests were performed on two prepared samples of the same slightly altered granite. At a…

A: Two triaxial tests were performed on two prepared samples of the same slightly altered granite. At a…

Q: A cylindrical specimen of a nickel alloy having an elastic modulus of 207 GPa and an original…

A: Given Elastic modulus, E = 207 GPa Original diameter, D = 10.2 mm = 0.0102 m Tensile load, P =…

Q: The two pieces of wood, 2.39in. by 6.01 in., are glued together along the 54°joint. Determine the…

A: Concept: To determine the Normal Stress we will have to calculate the maximum safe axial load (P)…

Q: Which of the following represents volumetric strain? a) -ΔV/V b) ΔV/V c) Pressure/Volume d) -P /…

A: To find: Which of the following represents volumetric strain

Q: A compressive force of 6,485 N is applied to a bone that has an outside radius of 2.5 cm and a…

Q: d) A cylindrical rod 100 mm long and having a diameter of 10 mm is to be defomed using a tensile…

A: According to the following question, this question ask us that, we have to examine the four alloys…

Q: What modulus of elasticity in tension is required to obtain a unit deformation of 0.00105 m/m from a…

Q: A composite material with a bulk modulus of 4.50x109Pa is made in the shape of a cube 1.50cm on a…

Q: of the stud is under compression, and which surface is under tensi op and bottom surfaces are under…

A: The bending can be shown as,

Q: Q3:A: The compressibility of water is 2.0 *10" m/N. Find the decrease 152 In volume of 200 ml when…

A: Here it is given that the compressibility is 2×10-¹⁰ m/N. The volume is 200ml and the pressure is…

Q: Find the internal load of each section of the bar due to the loading shown. Alsofind the maximum…

A: Solution:-Given thatthickness of the bar (t)=0.5 in

Q: A square flat plate of dimensions 1 m x 1 m is moving with a maximum speed , U causing a fully…

A: The given values are, A=1 m×1 m=1 m2ρ=1.2 kg/m3υ=1.5×10-5 m2/s

Q: The Force of resistance per unit area offered by a body against deformation is the stress. Is this…

A: The Force of resistance per unit area offered by a body against deformation is the stress. YES this…

Q: Between AB there is a 20 cm aluminum wire that supports a mass of 490 g and between BC another…

A: To solve the problem depicted in the image you've provided, we will apply the formula for elastic…

Concept explainers

Mechanical Properties of Solids

There are three types of matter- solid, liquid and gas. Out of them, solids have a rigid shaped and size. The intermolecular forces of attractions in solids are greatest. Mechanical properties are the physical properties of a material which it shows, when it is provided with certain amount of force or load. These properties are to be kept in mind for various purposes. When a force is applied to an object, the object may or may not get deformed depending upon its elastic property. But every time the object develops a restoring force against the force applied. This is commonly known as stress. If the object changes its dimensions due to the force applied it develops strain ( which is the ratio of change in dimension to the original dimension).

Question

### Crack Tip Stress Calculation

#### Problem Statement

What is the magnitude of the maximum stress that exists at the tip of an internal crack having a radius of curvature of 2.5 × 10^-4 mm (0.9843 × 10^-5 in.) and a crack length of 3 × 10^-2 mm (1.181 × 10^-3 in.) when a tensile stress of 140 MPa (20310 psi) is applied?

#### Answer Input
- Input field for the answer in units of GPa.

#### Interactive Elements
- **Hint Section**:
- Users can click to "Save for Later".
- The saved work is last saved 1 second ago.
- Information that saved work will be auto-submitted on the due date and that the auto-submission can take up to 10 minutes.
- **Attempt Counter**:
- Indicates "Attempts: 3 of 5 used".
- Button to "Submit Answer".

#### Additional Resources
- eTextbook and Media section available but not expanded in the image.

##### Note
This page is an example of an educational question that involves the application of fracture mechanics concepts to calculate the stress at the tip of an internal crack under tensile loading.

#### Visual Explanation
- No graphs or diagrams are included in the provided image.

This educational tool helps students understand the critical variables and calculation methods involved in materials science and mechanical engineering contexts, specifically related to fracture and stress analysis.

Expert Solution

This question has been solved!

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

SEE SOLUTION Check out a sample Q&A here

Step 1: Given data and what is find

VIEW

Step 2: Using formula for maximum stress and find its value

VIEW

Solution

VIEW

Step by step

Solved in 3 steps with 3 images

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, physics and related others by exploring similar questions and additional content below.

Similar questions

What is the axial stress in the bronze rod (in MPa)? 2m 3m 60 KN Usmm I5 mm banze rod Next
Homework QI: A specimen made from Titanium with diameter 4 mm subjected to force of 2500 N. The specimen extended by 0.422 mm. If the young modulus is 107 GPa. Find the gauge length of specimen.
1. Consider the brass alloy for which the stress-strain behavior is a cylindrical specimen of this material 10.0 mm in diameter and 101.6 mm long is pulled in tension with a force of 10,000 N. If modulus of elasticity is 85 GPa compute the specimen elongation
15
As indicated in Figure 4, a tensile stress is to be applied along the long axis (z-axis) of an aluminium rectangular bar. The width of each edge of the bar is w0 = 2.3 mm, and the length is l0 = 12 mm. The bar's modulus of elasticity and Poisson's ratio are respectively 69 GPa and 0.35. It is believed that the material is isotropic. a)Calculate the width of the bar, w when the load of 7000 N is applied.
Problem Solving... The cross-sectional area of the bar is 5 cm2. Use E= 70 GPa for aluminum, and E= 200 GPa for steel. Aluminum Steel Aluminum 80 kN 20 kN 30 kN 70 kN A 3 m -4 m- 5 m- - What is the elongation in segment AB (Aluminum)? * -7.8571 x10^-3 m O6.8571 x10^-3 m O -6.8571 x10^-3 m 7.8571 x10^-3 m
س 5/ 2 درجة Man with mass of (10 Kg ) standing on the one leg has a (1 M) shaft of bone with average cross-sectional area of ( 4 cm^2 ) find the amount of shortening in this bone(1.8 x 10^10 N/m) A. 4-^10*0.138 В. 4-^10 C. 4-^10*0.231 D. 4-^10*3
What is the change in volume of 1.25x 10° cm³ of benzene when it is subjected to a stress of 5.26 x 107 N/m??
300 mm 300 mim 50 mm 8 kN 40 mm Section a-a Question 1. Determine the state of stress at point A on the cross-section of the pipe at section a-a. Illustrate the state of stress using the given axis system.
PROBLEM 4 For the assembly shown ibelow, find the maximum value of P that will not exceed a stress in steel of 140 MPa, in aluminum of 90 MPa of in bronze of 100 MPa and a total deformation of 3.5 mm. A = 500 mm2 A = 400 mm? A = 200 mm? %3D 2P 4P P- STEEL ALUMINUM BRONZE E = 200 GPa E = 70 GPa L = 2.0 m E = 83 GPa L = 1.5 m L = 2.5 m
The Force of resistance per unit area offered by a body against deformation is the stress. Is this statement correct?
A flat steel bar, 30 mm wide by 3 mm thick and 1.7 m long, is bent by couples applied at the ends so that the midpoint deflection is 27 mm. Compute the maximum stress in the bar. Use E = 220 GPa. Answer must be in MPa.