The rate of change of bending moment is equal toa)shear force at that ...
M = V · x
dM/dx = V
i.e. Rate of change of bending moment is shear force.
View all questions of this testThe rate of change of bending moment is equal toa)shear force at that ...
Rate of Change of Bending Moment
The rate of change of bending moment refers to how quickly the bending moment is changing at a particular point along a beam. This is an important concept in structural engineering because it helps to determine the stress and strain in a structure.
Shear Force
Shear force refers to the force that is perpendicular to the axis of a beam. In other words, it is the force that is trying to cut the beam in half. Shear force is an important factor in determining the rate of change of bending moment.
Explanation
The rate of change of bending moment is equal to the shear force at that section because the shear force is directly related to the rate of change of bending moment. As the shear force changes along a beam, it causes the bending moment to change as well. Therefore, by knowing the shear force at a particular point, we can determine the rate of change of bending moment.
Conclusion
In conclusion, the rate of change of bending moment is equal to the shear force at that section because they are directly related. By understanding this relationship, we can better understand the stresses and strains in a structure and design it to handle the loads it will be subjected to.