MATERIALS SCI + ENGR: INT W/ACCESS
MATERIALS SCI + ENGR: INT W/ACCESS
10th Edition
ISBN: 9781119808084
Author: Callister
Publisher: WILEY
Question
Book Icon
Chapter 8, Problem 1QAP
To determine

The maximum stress (σm) that can be present at the tip of an internal crack.

Expert Solution & Answer
Check Mark

Answer to Problem 1QAP

Maximum stress (σm) at the tip of an internal crack is 2404MPa .

Explanation of Solution

Given:

The Radius of Curvature of the internal crack tip, ρt=2.5×104mm .

Length of the internal Crack =2.5×102mm .

Tensile Strength Applied, σ0=170MPa .

Formula used:

The maximum stress at the tip of the crack can be calculated by the formula :

  σm=2σ0aρt12

where σm= Maximum Stress

  σ0= Tensile Strength

  a= Length of the surface Crack

  ρt= Radius of Curvature of the internal crack tip

Calculation:

To calculate the maximum stress at the tip of the crack, first find out the length of the surface crack :

  a=2.5×1022mma=1.25×102mm

Now, using the formula :

  σm=2σ0aρt12σm=2×170MPa1.25×102mm2.5×104mm12σm=3405012MPaσm=340×7.07MPaσm=2403.8MPa2404MPa

Conclusion:

The magnitude of the maximum stress (σm) at the tip of an internal crack is 2404MPa .

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!
Students have asked these similar questions
Note: Please provide a clear, step-by-step, simplified handwritten working out (no explanations!), ensuring it is completed without any AI involvement. I require an expert-level answer and will assess and rate your work based on its quality and accuracy, refer to the provided image for additional clarity. Make sure to double-check everything for correctness before submitting. Thanks, appreciate your time and effort!.
Note: Please provide a clear, step-by-step simplified handwritten working out (no explanations!), ensuring it is done without any AI involvement. I require an expert-level answer, and I will assess and rate based on the quality and accuracy of your work and refer to the provided image for more clarity. Make sure to double-check everything for correctness before submitting thanks!. Question1:  If the following container is 0.6m high, 1.2m wide and half full with water, determine the pressure acting at points A, B, and C if ax=2.6ms^-2.
Please read the image
Knowledge Booster
Background pattern image
Similar questions
SEE MORE QUESTIONS
Recommended textbooks for you
Text book image
MATLAB: An Introduction with Applications
Engineering
ISBN:9781119256830
Author:Amos Gilat
Publisher:John Wiley & Sons Inc
Text book image
Essentials Of Materials Science And Engineering
Engineering
ISBN:9781337385497
Author:WRIGHT, Wendelin J.
Publisher:Cengage,
Text book image
Industrial Motor Control
Engineering
ISBN:9781133691808
Author:Stephen Herman
Publisher:Cengage Learning
Text book image
Basics Of Engineering Economy
Engineering
ISBN:9780073376356
Author:Leland Blank, Anthony Tarquin
Publisher:MCGRAW-HILL HIGHER EDUCATION
Text book image
Structural Steel Design (6th Edition)
Engineering
ISBN:9780134589657
Author:Jack C. McCormac, Stephen F. Csernak
Publisher:PEARSON
Text book image
Fundamentals of Materials Science and Engineering...
Engineering
ISBN:9781119175483
Author:William D. Callister Jr., David G. Rethwisch
Publisher:WILEY