Fundamentals of Materials Science and Engineering, Binder Ready Version: An Integrated Approach
Fundamentals of Materials Science and Engineering, Binder Ready Version: An Integrated Approach
5th Edition
ISBN: 9781119175483
Author: William D. Callister Jr., David G. Rethwisch
Publisher: WILEY
Question
Book Icon
Chapter 9.19, Problem 1QP
To determine

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

Expert Solution & Answer
Check Mark

Answer to Problem 1QP

The magnitude of the maximum stress at the tip of an internal crack is 3959.79MPa_ .

Explanation of Solution

Given:

The radius of curvature of the crack tip, pt=1.9×104mm

The crack length, a=3.8×102mm

The tensile stress, σ0=140MPa

Explanation:

Determine the maximum stress that occurs at the crack tip.

σm=2σ0(apt)1/2 (I)

Conclusion:

Substitute 3.8×102mm for a, 140 MPa for σ0 , and 1.9×104mm for pt in Equation (I).

σm=2(140MPa)(3.8×102mm1.9×104mm)1/2=2(140)(14.142)=3959.79MPa

Thus, the magnitude of the maximum stress at the tip of an internal crack is 3959.79MPa_ .

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!
Knowledge Booster
Background pattern image
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