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Identify the WRONG statement:
  • a)
    Principal plane is a plane on which shear stress is zero.
  • b)
    The normal stress acting normal to the principal plane is called the principal stress.
  • c)
    On the planes, other than principal planes, the normal stress is accompanied by the tangential stresses.
  • d)
    Two principal planes carrying the maximum and minimum direct stresses are always collinear.
Correct answer is option 'D'. Can you explain this answer?
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Identify the WRONG statement:a)Principal plane is a plane on which she...
Two principal planes carrying the maximum and direct stresses are always perpendicular to each other.
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Identify the WRONG statement:a)Principal plane is a plane on which she...
Principal Planes and Stresses in Mechanics

Principal Planes

Principal planes are the planes on which shear stress is zero. These planes are perpendicular to each other, and the normal stresses acting on them are called principal stresses. The direction in which the normal stress is maximum is called the major principal plane, while the direction in which the normal stress is minimum is called the minor principal plane. The angle between the major and minor principal planes is 90 degrees.

Principal Stresses

The normal stress acting normal to the principal plane is called the principal stress. These stresses are important in determining the strength of materials and structures. The maximum and minimum principal stresses are denoted by σ1 and σ2, respectively. The difference between the two is called the stress intensity.

Tangential Stresses

On the planes other than principal planes, the normal stress is accompanied by tangential stresses. These tangential stresses are also known as shear stresses. Shear stresses are important in determining the deformation and failure of materials and structures.

Collinearity of Principal Planes

The statement "two principal planes carrying the maximum and minimum direct stresses are always collinear" is incorrect. The major and minor principal planes are perpendicular to each other, and their intersection forms a line called the principal axis. However, there can be other planes carrying maximum and minimum direct stresses that are not collinear with the principal planes. Therefore, this statement is wrong.

Conclusion

In summary, principal planes are the planes on which shear stress is zero, and the normal stresses acting on them are called principal stresses. Tangential stresses are present on planes other than principal planes. The statement that two principal planes carrying the maximum and minimum direct stresses are always collinear is incorrect.
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Identify the WRONG statement:a)Principal plane is a plane on which shear stress is zero.b)The normal stress acting normal to the principal plane is called the principal stress.c)On the planes, other than principal planes, the normal stress is accompanied by the tangential stresses.d)Two principal planes carrying the maximum and minimum direct stresses are always collinear.Correct answer is option 'D'. Can you explain this answer?
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Identify the WRONG statement:a)Principal plane is a plane on which shear stress is zero.b)The normal stress acting normal to the principal plane is called the principal stress.c)On the planes, other than principal planes, the normal stress is accompanied by the tangential stresses.d)Two principal planes carrying the maximum and minimum direct stresses are always collinear.Correct answer is option 'D'. Can you explain this answer? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about Identify the WRONG statement:a)Principal plane is a plane on which shear stress is zero.b)The normal stress acting normal to the principal plane is called the principal stress.c)On the planes, other than principal planes, the normal stress is accompanied by the tangential stresses.d)Two principal planes carrying the maximum and minimum direct stresses are always collinear.Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Identify the WRONG statement:a)Principal plane is a plane on which shear stress is zero.b)The normal stress acting normal to the principal plane is called the principal stress.c)On the planes, other than principal planes, the normal stress is accompanied by the tangential stresses.d)Two principal planes carrying the maximum and minimum direct stresses are always collinear.Correct answer is option 'D'. Can you explain this answer?.
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