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If a force applied at any point in its line of action and is still creating the same moment about any fixed point say P, then the force is said to be sliding vector. What is the name of this property in bending moment diagram?
  • a)
    Associative property
  • b)
    Distributive property
  • c)
    Negative associative property
  • d)
    Principle transmissibility of the force
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
If a force applied at any point in its line of action and is still cre...
If a force applied at any point in its line of action and is still creating the same moment about any fixed point say P, then the force is said to be sliding vector. This is because the moment of the force which is acting on its line of axis at the point P is same throughout. This is known as the principle transmissibility of the force.
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If a force applied at any point in its line of action and is still cre...
Principle of Transmissibility of Force in Bending Moment Diagram

The principle of transmissibility of force states that a force acting on a body can be transferred along its line of action without changing the effect of the force. This means that if a force is applied at any point along its line of action and still produces the same moment about a fixed point, then the force is said to have the property of transmissibility.

In the context of a bending moment diagram, the principle of transmissibility of force means that the bending moment at a point in a beam is the same regardless of the location of the force along its line of action. This principle is based on the fact that bending moment is a scalar quantity and only depends on the magnitude of the force and its distance from the fixed point.

Explanation:

1. Bending Moment:
- Bending moment is a measure of the internal resistance of a beam to bending.
- It is caused by the external loads acting on the beam.
- Bending moment is calculated by multiplying the force applied to the beam by the perpendicular distance from the force to the fixed point.

2. Principle of Transmissibility of Force:
- According to the principle of transmissibility of force, a force can be transferred along its line of action without changing its effect.
- In the case of a bending moment diagram, this means that the bending moment at a point in a beam is the same regardless of where the force is applied along its line of action.

3. Sliding Vector:
- A force is said to be a sliding vector if it can be moved along its line of action without changing its effect.
- In the context of a bending moment diagram, a sliding vector refers to a force that can be applied at any point along its line of action and still produce the same moment about a fixed point.

4. Application in Bending Moment Diagram:
- In a bending moment diagram, the principle of transmissibility of force allows us to analyze the effect of forces on a beam by considering only their magnitudes and distances from the fixed point.
- This simplifies the calculation of bending moments and makes it easier to determine the maximum bending moment and the points of zero bending moment in a beam.

Conclusion:
The principle of transmissibility of force states that a force can be transferred along its line of action without changing its effect. In the context of a bending moment diagram, this principle allows us to analyze the effect of forces on a beam by considering only their magnitudes and distances from the fixed point. This simplifies the calculation of bending moments and helps determine critical points in a beam.
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If a force applied at any point in its line of action and is still creating the same moment about any fixed point say P, then the force is said to be sliding vector. What is the name of this property in bending moment diagram?a)Associative propertyb)Distributive propertyc)Negative associative propertyd)Principle transmissibility of the forceCorrect answer is option 'D'. Can you explain this answer?
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