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In a two dimensional problem the state of pure shear at a point is characterized by
- a)ex = ey and gxy
- b)ex = -ey and gxy10
- c)ex = 2ey and gxy10
- d)ex = 0.52ey and gxy10
Correct answer is option 'B'. Can you explain this answer?
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In a two dimensional problem the state of pure shear at a point is cha...
Explanation:
In two dimensional problems, the state of pure shear at a point is characterized by two strains- shear strain and normal strain. The shear strain is denoted by gxy and the normal strain is denoted by ex and ey.
Option A: ex = ey and gxy
This is the state of pure shear when the material is subjected to equal and opposite forces at right angles to each other. This results in no change in the length of the material in any direction, and only a change in the shape of the material. This is known as pure shear, but the strain values are not correct.
Option B: ex = -ey and gxy ≠ 0
This is the correct state of pure shear. In this state, there is no change in the length of the material in the x and y direction, but there is a change in the angle between the two perpendicular lines. The shear strain is non-zero and is denoted by gxy. ex and ey are equal in magnitude but opposite in sign.
Option C: ex = 2ey and gxy ≠ 0
This state of strain does not represent pure shear. This is because the normal strains ex and ey are not equal.
Option D: ex = 0.52ey and gxy ≠ 0
This state of strain does not represent pure shear. This is because the normal strains ex and ey are not equal and opposite in sign.
Therefore, the correct option is B where ex = -ey and gxy ≠ 0, which represents the state of pure shear.
In two dimensional problems, the state of pure shear at a point is characterized by two strains- shear strain and normal strain. The shear strain is denoted by gxy and the normal strain is denoted by ex and ey.
Option A: ex = ey and gxy
This is the state of pure shear when the material is subjected to equal and opposite forces at right angles to each other. This results in no change in the length of the material in any direction, and only a change in the shape of the material. This is known as pure shear, but the strain values are not correct.
Option B: ex = -ey and gxy ≠ 0
This is the correct state of pure shear. In this state, there is no change in the length of the material in the x and y direction, but there is a change in the angle between the two perpendicular lines. The shear strain is non-zero and is denoted by gxy. ex and ey are equal in magnitude but opposite in sign.
Option C: ex = 2ey and gxy ≠ 0
This state of strain does not represent pure shear. This is because the normal strains ex and ey are not equal.
Option D: ex = 0.52ey and gxy ≠ 0
This state of strain does not represent pure shear. This is because the normal strains ex and ey are not equal and opposite in sign.
Therefore, the correct option is B where ex = -ey and gxy ≠ 0, which represents the state of pure shear.
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In a two dimensional problem the state of pure shear at a point is characterized bya)ex = ey and gxyb)ex = -ey and gxy10c)ex = 2ey and gxy10d)ex = 0.52ey and gxy10Correct answer is option 'B'. Can you explain this answer?
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