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Angle between the planes of maximum normal stress and minimum normal stress is ________, and angle between planes of maximum shear stress and principal planes is ________ respectively.
- a)90° and 45°
- b)45° and 45°
- c)45° and 90°
- d)90° and 90°
Correct answer is option 'A'. Can you explain this answer?
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Angle between the planes of maximum normal stress and minimum normal ...
The plane on which normal stress attains its maximum and minimum values are called principal planes. The shear stress on the principal plane is zero.
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The planes of maximum and minimum normal stresses are at an angle of 90° to each other.
Planes of maximum stress occur at 45° to the principal planes.
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Angle between the planes of maximum normal stress and minimum normal ...
Angle between the planes of maximum normal stress and minimum normal stress:
The maximum and minimum normal stresses occur on planes that are perpendicular to each other. The angle between these planes is 90°.
Explanation:
1. Normal Stress: Normal stress is the stress that acts perpendicular to a surface. In a stress state, there are two principal planes where the normal stresses are maximum and minimum.
2. Maximum Normal Stress Plane: This plane is where the normal stress is maximum. It is called the principal plane of maximum normal stress.
3. Minimum Normal Stress Plane: This plane is where the normal stress is minimum. It is called the principal plane of minimum normal stress.
4. Relationship between Maximum and Minimum Normal Stress Planes: The maximum and minimum normal stress planes are always perpendicular to each other. This means that the angle between them is 90°.
Angle between the planes of maximum shear stress and principal planes:
The angle between the planes of maximum shear stress and the principal planes depends on the material and its behavior under stress. In most materials, the angle is 45°.
Explanation:
1. Shear Stress: Shear stress is the stress that acts parallel to a surface. In a stress state, there are two principal planes where the shear stresses are maximum and minimum.
2. Maximum Shear Stress Plane: This plane is where the shear stress is maximum. It is called the principal plane of maximum shear stress.
3. Principal Planes: These planes are where the shear stress is zero. They are perpendicular to each other and are called the principal planes.
4. Relationship between Maximum Shear Stress Plane and Principal Planes: The angle between the plane of maximum shear stress and the principal planes depends on the material and its behavior under stress. In most materials, the angle is 45°.
Summary:
- The angle between the planes of maximum normal stress and minimum normal stress is always 90°.
- The angle between the planes of maximum shear stress and the principal planes depends on the material, but in most cases, it is 45°.
The maximum and minimum normal stresses occur on planes that are perpendicular to each other. The angle between these planes is 90°.
Explanation:
1. Normal Stress: Normal stress is the stress that acts perpendicular to a surface. In a stress state, there are two principal planes where the normal stresses are maximum and minimum.
2. Maximum Normal Stress Plane: This plane is where the normal stress is maximum. It is called the principal plane of maximum normal stress.
3. Minimum Normal Stress Plane: This plane is where the normal stress is minimum. It is called the principal plane of minimum normal stress.
4. Relationship between Maximum and Minimum Normal Stress Planes: The maximum and minimum normal stress planes are always perpendicular to each other. This means that the angle between them is 90°.
Angle between the planes of maximum shear stress and principal planes:
The angle between the planes of maximum shear stress and the principal planes depends on the material and its behavior under stress. In most materials, the angle is 45°.
Explanation:
1. Shear Stress: Shear stress is the stress that acts parallel to a surface. In a stress state, there are two principal planes where the shear stresses are maximum and minimum.
2. Maximum Shear Stress Plane: This plane is where the shear stress is maximum. It is called the principal plane of maximum shear stress.
3. Principal Planes: These planes are where the shear stress is zero. They are perpendicular to each other and are called the principal planes.
4. Relationship between Maximum Shear Stress Plane and Principal Planes: The angle between the plane of maximum shear stress and the principal planes depends on the material and its behavior under stress. In most materials, the angle is 45°.
Summary:
- The angle between the planes of maximum normal stress and minimum normal stress is always 90°.
- The angle between the planes of maximum shear stress and the principal planes depends on the material, but in most cases, it is 45°.
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Angle between the planes of maximum normal stress and minimum normal stress is ________, and angle between planes of maximum shear stress and principal planes is ________ respectively.a)90° and 45°b)45° and 45°c)45° and 90°d)90° and 90°Correct answer is option 'A'. Can you explain this answer?
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