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Consider the following statements:
X. Two-dimensional stresses applied to a thin plater in its own plane represent the plane stress condition.
Y. Normal and shear stresses may occur simultaneously on a plane.
Z. Under plane stress condition, the strain in the direction perpendicular to the plane is zero.
Which of the above statements are correct?
  • a)
    2 only
  • b)
    1 and 2
  • c)
    2 and 3
  • d)
    1 and 3
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
Consider the following statements:X. 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 the elastic limit, the lateral strain bears a constant ratio to the linear strain.
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Community Answer
Consider the following statements:X. Two-dimensional stresses applied ...
Understanding Plane Stress Condition
In the context of mechanical engineering, particularly in materials and structural analysis, the following explanations address the correctness of the statements provided.
Statement X: Two-dimensional stresses applied to a thin plate in its own plane represent the plane stress condition.
- This statement is incorrect.
- Plane stress conditions are typically relevant for thin plates subjected to loads in their own plane, but this does not mean that all two-dimensional stresses necessarily imply a plane stress condition.
Statement Y: Normal and shear stresses may occur simultaneously on a plane.
- This statement is correct.
- In mechanics, it is common for both normal and shear stresses to act on a plane simultaneously. This is a fundamental aspect of stress analysis in materials.
Statement Z: Under plane stress condition, the strain in the direction perpendicular to the plane is zero.
- This statement is correct.
- In a plane stress condition, the thickness direction (perpendicular to the plane) experiences negligible stress, which results in zero strain in that direction.
Conclusion
- Based on the analysis above:
- Statements Y and Z are correct, while statement X is incorrect.
- Therefore, the correct answer to the question is option D (1 and 3), as it confirms that Y and Z are valid statements regarding stresses in a plane stress scenario.
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Consider the following statements:X. Two-dimensional stresses applied to a thin plater in its own plane represent the plane stress condition.Y. Normal and shear stresses may occur simultaneously on a plane.Z. Under plane stress condition, the strain in the direction perpendicular to the plane is zero.Which of the above statements are correct?a)2 onlyb)1 and 2c)2 and 3d)1 and 3Correct answer is option 'D'. Can you explain this answer?
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