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Consider the following statements:
1. Two-dimensional stresses applied to a thin plate in its own plane represent the plane stress condition.
2. Under plane stress condition, the strain in the direction perpendicular to the plane is zero.
3. Normal and shear stresses may occur simultaneously on a plane.
Which of the above statements is /are correct?
  • a)
    1 only                    
  • b)
    1 and 2
  • c)
    2 and 3
  • d)
    1 and 3
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
Consider the following statements:1. Two-dimensional stresses applied ...
Under plane stress condition, the strain in the direction perpendicular to the plane is not zero. It has been found experimentally that when a body is stressed within elastic limit, the lateral strain bears a constant ratio to the linear strain.
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Most Upvoted Answer
Consider the following statements:1. Two-dimensional stresses applied ...
Plane Stress Condition

- When two-dimensional stresses are applied to a thin plate in its own plane, it represents the plane stress condition.
- In this condition, the stresses are acting only in two directions, and the third direction (perpendicular to the plane) is free of stresses.
- This condition is commonly found in thin plates, such as sheets of metal or plastic.

Strain in the Direction Perpendicular to the Plane

- Under the plane stress condition, the strain in the direction perpendicular to the plane is zero.
- This is because there are no stresses acting in this direction, and therefore no deformation occurs.

Normal and Shear Stresses

- Normal stresses are forces acting perpendicular to the plane, while shear stresses are forces acting parallel to the plane.
- Both normal and shear stresses may occur simultaneously on a plane under the plane stress condition.
- These stresses can be represented by their respective stress components, which are calculated using equations such as Mohr's circle.

Conclusion

- The correct statements are 1 and 3, as the plane stress condition involves stresses acting only in two directions, and both normal and shear stresses can occur simultaneously on a plane.
- Statement 2 is incorrect, as the strain in the direction perpendicular to the plane is zero under the plane stress condition.
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Consider the following statements:1. Two-dimensional stresses applied to a thin plate in its own plane represent the plane stress condition.2. Under plane stress condition, the strain in the direction perpendicular to the plane is zero.3. Normal and shear stresses may occur simultaneously on a plane.Which of the above statements is /are correct?a)1 only b)1 and 2c)2 and 3d)1 and 3Correct answer is option 'D'. Can you explain this answer?
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