Mohr's Circle for Strain

Q. In the Mohr's circle for strains, radius of Mohr's circle gives the

1. minimum value of normal strain
2. maximum value of normal strain
3. maximum value of shear strain
4. half of maximum value of shear strain

Q. What is the angle between pricipal strain axis and maximum shear strain axis?

1. 0°
2. 30°
3. 45°
4. 90°

Q. In a plane strain problem in XY plane, the shear strain = $12\times {10}^{-6}$, and the normal strain in X and Y direction = 0. For this state of strain, what is the diameter of the Mohr's circle of strain?

1. $6\times {10}^{-6}$
2. $8\times {10}^{-6}$
3. $12\times {10}^{-6}$
4. $24\times {10}^{-6}$

Q. Consider the following statements:
Mohr's strain circle can be drawn
1. for plane stress conditions
2. if strains in three directions are known
3. if strains on two mutually perpendicular planes are known
Which of these statements are correct?

1. 1, 2 and 3
2. 2 and 3 only
3. 1 and 2 only
4. 1 and 3 only

Q. In a plane strain condition in the XY plane, the strain components associated with XY axes are ${\epsilon }_x=800\times {10}^{-6},{\epsilon }_y=100\times {10}^{-6},{\varphi }_{xy}=-800\times {10}^{-6}$. What are the principal strains for these strain values?

1. $981\times {10}^{-6},-81\times {10}^{-6}$
2. $891\times {10}^{-6},-81\times {10}^{-6}$
3. $881\times {10}^{-6},-71\times {10}^{-6}$
4. $839\times {10}^{-6},-81\times {10}^{-6}$

Q. In a plane strain case in the XY plane, normal strain in X and Y directions are equal to zero and shear strain is equal to $3\times {10}^6$. What is the value of diameter of Mohr's circle of strain for these strain values?

1. $6\times {10}^{-6}$
2. $6\times {10}^{-6}$
3. $1.5\times {10}^{-6}$
4. Zero