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At the principal planes
- a)the normal stress is maximum or minimum and the shear stress is zero
- b)the tensile and compressive stresses are zero
- c)the tensile stress is zero and the shear stress is maximum
- d)no stress acts
Correct answer is option 'A'. Can you explain this answer?
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At the principal planesa)the normal stress is maximum or minimum and t...
Principal stresses are maximum or minimum normal stresses which may occur on a stressed body. In a 3-D body there may three principal planes which are mutually perpendicular to each other. The plane of principle stresses is called principal plane which always carries zero shear stress.
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At the principal planesa)the normal stress is maximum or minimum and t...
Answer:
In the principal plane, the normal stress is maximum or minimum and the shear stress is zero. This can be explained by understanding the concept of principal stresses and the state of stress in the principal plane.
Principal Stresses:
Principal stresses are the maximum and minimum values of normal stresses that act on a plane. They represent the extreme values of stress that a material experiences in a particular direction. The principal stresses are denoted by σ1 and σ2, where σ1 is the maximum principal stress and σ2 is the minimum principal stress.
State of Stress in the Principal Plane:
The principal plane is a plane where the shear stress is zero. In other words, the shear stress acting on the plane is neither tensile nor compressive. This plane is defined by the principal stresses.
When the normal stress is maximum or minimum, the shear stress on the principal plane is zero. This means that there is no force acting tangentially to the plane, resulting in zero shear stress. Mathematically, this can be expressed as τ = 0, where τ represents the shear stress.
Explanation of Options:
a) The normal stress is maximum or minimum and the shear stress is zero. This option is correct because it aligns with the definition of the principal plane, where the shear stress is zero.
b) The tensile and compressive stresses are zero. This option is incorrect because the tensile and compressive stresses can have non-zero values in the principal plane.
c) The tensile stress is zero and the shear stress is maximum. This option is incorrect because the shear stress is zero in the principal plane, not maximum.
d) No stress acts. This option is incorrect because there is stress acting in the principal plane, although the shear stress is zero.
Therefore, option 'A' is the correct answer as it accurately describes the state of stress in the principal plane.
In the principal plane, the normal stress is maximum or minimum and the shear stress is zero. This can be explained by understanding the concept of principal stresses and the state of stress in the principal plane.
Principal Stresses:
Principal stresses are the maximum and minimum values of normal stresses that act on a plane. They represent the extreme values of stress that a material experiences in a particular direction. The principal stresses are denoted by σ1 and σ2, where σ1 is the maximum principal stress and σ2 is the minimum principal stress.
State of Stress in the Principal Plane:
The principal plane is a plane where the shear stress is zero. In other words, the shear stress acting on the plane is neither tensile nor compressive. This plane is defined by the principal stresses.
When the normal stress is maximum or minimum, the shear stress on the principal plane is zero. This means that there is no force acting tangentially to the plane, resulting in zero shear stress. Mathematically, this can be expressed as τ = 0, where τ represents the shear stress.
Explanation of Options:
a) The normal stress is maximum or minimum and the shear stress is zero. This option is correct because it aligns with the definition of the principal plane, where the shear stress is zero.
b) The tensile and compressive stresses are zero. This option is incorrect because the tensile and compressive stresses can have non-zero values in the principal plane.
c) The tensile stress is zero and the shear stress is maximum. This option is incorrect because the shear stress is zero in the principal plane, not maximum.
d) No stress acts. This option is incorrect because there is stress acting in the principal plane, although the shear stress is zero.
Therefore, option 'A' is the correct answer as it accurately describes the state of stress in the principal plane.
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At the principal planesa)the normal stress is maximum or minimum and the shear stress is zerob)the tensile and compressive stresses are zeroc)the tensile stress is zero and the shear stress is maximumd)no stress actsCorrect answer is option 'A'. Can you explain this answer?
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