2. The displacements, in meters, at an arbitrary point (x,y,z) in a given body are: u(x, y,2) = (x*y+xy*)×104 v(x, y,2) = x³y³ x104 w(x, y, z) = 0 (a) Determine all the strains in x-y-z coordinates at any point (x,y,z). (b) Is the body in plane strain? Explain why or why not. (c) Determine by a calculation whether or not compatibility holds for this strain field. (d) From (a) what is the strain tensor at the point (1,2,1)? (e) Compute the principal normal strains at the point (1,2,1). (f) What is the maximum shear strain at the point (1,2,1)? (g) If the shear modulus of the material is 80 MPa, find the difference between the two principal stresses.
2. The displacements, in meters, at an arbitrary point (x,y,z) in a given body are: u(x, y,2) = (x*y+xy*)×104 v(x, y,2) = x³y³ x104 w(x, y, z) = 0 (a) Determine all the strains in x-y-z coordinates at any point (x,y,z). (b) Is the body in plane strain? Explain why or why not. (c) Determine by a calculation whether or not compatibility holds for this strain field. (d) From (a) what is the strain tensor at the point (1,2,1)? (e) Compute the principal normal strains at the point (1,2,1). (f) What is the maximum shear strain at the point (1,2,1)? (g) If the shear modulus of the material is 80 MPa, find the difference between the two principal stresses.
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
Related questions
Topic Video
Question
Transcribed Image Text:2. The displacements, in meters, at an arbitrary point (x,y,z) in a given body are:
x104
v(x, y,z) = x³y³ x 10
w(x, y,z)=0
(a) Determine all the strains in x-y-z coordinates at any point (x,y,z).
(b) Is the body in plane strain? Explain why or why not.
(c) Determine by a calculation whether or not compatibility holds for this strain field.
(d) From (a) what is the strain tensor at the point (1,2,1)?
(e) Compute the principal normal strains at the point (1,2,1).
(f) What is the maximum shear strain at the point (1,2,1)?
(g) If the shear modulus of the material is 80 MPa, find the difference between the two principal stresses.
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!
Trending now
This is a popular solution!
Step by step
Solved in 3 steps
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.Recommended textbooks for you
Elements Of Electromagnetics
Mechanical Engineering
ISBN:
9780190698614
Author:
Sadiku, Matthew N. O.
Publisher:
Oxford University Press
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:
9780134319650
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:
9781259822674
Author:
Yunus A. Cengel Dr., Michael A. Boles
Publisher:
McGraw-Hill Education
Elements Of Electromagnetics
Mechanical Engineering
ISBN:
9780190698614
Author:
Sadiku, Matthew N. O.
Publisher:
Oxford University Press
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:
9780134319650
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:
9781259822674
Author:
Yunus A. Cengel Dr., Michael A. Boles
Publisher:
McGraw-Hill Education
Control Systems Engineering
Mechanical Engineering
ISBN:
9781118170519
Author:
Norman S. Nise
Publisher:
WILEY
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:
9781337093347
Author:
Barry J. Goodno, James M. Gere
Publisher:
Cengage Learning
Engineering Mechanics: Statics
Mechanical Engineering
ISBN:
9781118807330
Author:
James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:
WILEY