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If the principal stresses and maximum shearing stresses are of equal numerical value at a point in a stressed body, the state of stress can be termed as
- a)Isotropic
- b)Uni-axial
- c)Pure shear
- d)Generalized plane state of stress
Correct answer is option 'C'. Can you explain this answer?
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If the principal stresses and maximum shearing stresses are of equal n...
Pure shear state of stress
When the principal stresses and maximum shearing stresses are of equal numerical value at a point in a stressed body, the state of stress can be termed as pure shear.
Explanation:
Stress is a measure of the internal resistance of a material to external forces. When a body is subjected to external forces, it undergoes stress, which can be characterized by its magnitude and direction. The state of stress at a point in a body can be determined by calculating the principal stresses and maximum shearing stresses.
Principal stresses are the maximum and minimum values of stress at a point in a body, which act normal to each other. The maximum shearing stress is the difference between the two principal stresses, acting parallel to each other.
When the principal stresses and maximum shearing stresses are of equal numerical value at a point in a stressed body, the state of stress can be termed as pure shear. In this state of stress, the body experiences deformation without any change in volume. The direction of the shear stress is perpendicular to the principal stresses.
Pure shear stress is commonly encountered in the design of beams, shafts, and other structures subjected to torsion. It is also encountered in the design of metal forming processes, such as forging and rolling.
In summary, when the principal stresses and maximum shearing stresses are of equal numerical value at a point in a stressed body, the state of stress can be termed as pure shear. In this state of stress, the body experiences deformation without any change in volume, and the direction of the shear stress is perpendicular to the principal stresses.
When the principal stresses and maximum shearing stresses are of equal numerical value at a point in a stressed body, the state of stress can be termed as pure shear.
Explanation:
Stress is a measure of the internal resistance of a material to external forces. When a body is subjected to external forces, it undergoes stress, which can be characterized by its magnitude and direction. The state of stress at a point in a body can be determined by calculating the principal stresses and maximum shearing stresses.
Principal stresses are the maximum and minimum values of stress at a point in a body, which act normal to each other. The maximum shearing stress is the difference between the two principal stresses, acting parallel to each other.
When the principal stresses and maximum shearing stresses are of equal numerical value at a point in a stressed body, the state of stress can be termed as pure shear. In this state of stress, the body experiences deformation without any change in volume. The direction of the shear stress is perpendicular to the principal stresses.
Pure shear stress is commonly encountered in the design of beams, shafts, and other structures subjected to torsion. It is also encountered in the design of metal forming processes, such as forging and rolling.
In summary, when the principal stresses and maximum shearing stresses are of equal numerical value at a point in a stressed body, the state of stress can be termed as pure shear. In this state of stress, the body experiences deformation without any change in volume, and the direction of the shear stress is perpendicular to the principal stresses.
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If the principal stresses and maximum shearing stresses are of equal n...
Pure shear....in this case mohr circle center coincide with origin....hope u get it....if u have doubts..ask
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If the principal stresses and maximum shearing stresses are of equal numerical value at a point in a stressed body, the state of stress can be termed asa)Isotropicb)Uni-axialc)Pure sheard)Generalized plane state of stressCorrect answer is option 'C'. Can you explain this answer?
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