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The rate of change of shearing force at any section is equal to the rate of
  • a)
    loading at that section
  • b)
    change of deflection at that point
  • c)
    change of bending moment at that section
  • d)
    integration of bending moment at that section
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
The rate of change of shearing force at any section is equal to the ra...
Shearing Force and Loading

The shearing force is defined as the force acting on a beam perpendicular to its longitudinal axis. This force can cause the beam to deform or break if it exceeds the beam's strength. The loading is the external force applied to the beam. The loading can be in the form of a point load, uniformly distributed load, or a combination of both.

Rate of Change of Shearing Force

The rate of change of shearing force is the derivative of the shearing force with respect to the distance along the beam. This rate of change can be positive or negative depending on the direction of the external load.

Relation with Loading

The rate of change of shearing force at any section is equal to the rate of loading at that section. This means that the rate at which the shearing force changes is directly proportional to the rate at which the loading changes. If the loading is constant, then the rate of change of shearing force will be zero.

Importance of this Relation

This relation is important in the design of beams and other structures. By knowing the rate of change of shearing force, engineers can determine the maximum load that a beam can handle. They can also determine the location of maximum shear stress in the beam.

Other Options

The rate of change of shearing force is not related to the change of deflection at that point or the integration of bending moment at that section. However, the rate of change of shearing force is related to the change of bending moment at that section. The bending moment is the moment acting on a beam that causes it to bend. The rate of change of bending moment is equal to the rate of loading at that section.
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Community Answer
The rate of change of shearing force at any section is equal to the ra...
The rate of change of bending moment is known as shear force.
The rate of change of shear force is known as load.
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The rate of change of shearing force at any section is equal to the rate ofa)loading at that sectionb)change of deflection at that pointc)change of bending moment at that sectiond)integration of bending moment at that sectionCorrect answer is option 'A'. Can you explain this answer?
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