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) = (xy+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.

Name: 2. The displacements, in meters, at an arbitrary point (x,y,z) in a g
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Description: 2. The displacements, in meters, at an arbitrary point (x,y,z) in a given body are:x104v(x, y,z) = x³y³ x 10w(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

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

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