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In the calculation of the radius of gyration, we use intensity of loadings. So whenever the distributed loading acts perpendicular to an area its intensity varies __________
- a)Linearly
- b)Non-Linearly
- c)Parabolically
- d)Cubically
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
In the calculation of the radius of gyration, we use intensity of load...
The load intensity is varying linearly in the structures. Thus the intensity is not varying parabolically nor is it cubically. It cannot be a vector also. Thus the intensity is linearly varied.
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In the calculation of the radius of gyration, we use intensity of load...
Answer:
The radius of gyration is a property used to describe the distribution of mass or geometry about an axis of rotation. It is commonly used in structural engineering to determine the stiffness and stability of a structure. In the calculation of the radius of gyration, the intensity of loadings is an important factor to consider.
When a distributed loading acts perpendicular to an area, its intensity varies linearly. This means that the load intensity is constant throughout the area and does not change as the distance from the axis of rotation increases.
Explanation:
To understand why the intensity of loadings varies linearly when acting perpendicular to an area, let's consider a simple example. Imagine a beam with a distributed load applied uniformly along its length. The load intensity can be represented by a linear function, where the load intensity is maximum at one end of the beam and decreases linearly to zero at the other end.
When calculating the radius of gyration, we need to consider the distribution of mass or geometry about an axis of rotation. In this case, the load acts perpendicular to the beam, and its intensity varies linearly. This means that the load is evenly distributed along the entire length of the beam, and the load intensity remains constant at any given point.
By considering the linear variation of load intensity, we can accurately determine the radius of gyration, which is the square root of the ratio of the moment of inertia to the mass or area. The radius of gyration is a measure of how the mass or geometry is distributed about the axis of rotation, and it helps determine the stiffness and stability of a structure.
In conclusion, when the distributed loading acts perpendicular to an area, its intensity varies linearly. This linear variation is important to consider in the calculation of the radius of gyration as it accurately reflects the distribution of mass or geometry about the axis of rotation.
The radius of gyration is a property used to describe the distribution of mass or geometry about an axis of rotation. It is commonly used in structural engineering to determine the stiffness and stability of a structure. In the calculation of the radius of gyration, the intensity of loadings is an important factor to consider.
When a distributed loading acts perpendicular to an area, its intensity varies linearly. This means that the load intensity is constant throughout the area and does not change as the distance from the axis of rotation increases.
Explanation:
To understand why the intensity of loadings varies linearly when acting perpendicular to an area, let's consider a simple example. Imagine a beam with a distributed load applied uniformly along its length. The load intensity can be represented by a linear function, where the load intensity is maximum at one end of the beam and decreases linearly to zero at the other end.
When calculating the radius of gyration, we need to consider the distribution of mass or geometry about an axis of rotation. In this case, the load acts perpendicular to the beam, and its intensity varies linearly. This means that the load is evenly distributed along the entire length of the beam, and the load intensity remains constant at any given point.
By considering the linear variation of load intensity, we can accurately determine the radius of gyration, which is the square root of the ratio of the moment of inertia to the mass or area. The radius of gyration is a measure of how the mass or geometry is distributed about the axis of rotation, and it helps determine the stiffness and stability of a structure.
In conclusion, when the distributed loading acts perpendicular to an area, its intensity varies linearly. This linear variation is important to consider in the calculation of the radius of gyration as it accurately reflects the distribution of mass or geometry about the axis of rotation.
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In the calculation of the radius of gyration, we use intensity of loadings. So whenever the distributed loading acts perpendicular to an area its intensity varies __________a)Linearlyb)Non-Linearlyc)Parabolicallyd)CubicallyCorrect answer is option 'A'. Can you explain this answer?
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