Difference of displacement and load control of cantilever beam bending
Answers
hi
Let us first look at the respective units:
deflection: m or cm or mm.
bending moment: N-m or N-mm etc.
The first thing that you will notice is that deflection is a linear quantity and bending moment is rotational in nature.
Consider a cantilever beam with a point load at the free end. Now this force causes deflection awa bending moment.
Bending moment is a product of the force and distance. So it increases as u go away from the load, and hence will be maximum at the fixed support. It is a measure of how much the beam wants to rotate about a point.
Deflection is the deviation of the beam from its original position in a direction along the force applied. It depends on the force applied, the distance and the flexural rigidity of the beam. Higher the flexural rigidity of the beam, lower the deflection. Deflection will be maximum at the point of application of the force(in this case). It is a measure of lateral displacement of the beam about its longitudinal axis.
For better understanding, think of the diving board. The amount by which the tip of the board moves down when you stand at the tip is the deflection. The amount by which the board tends to turn about any point along the length of the board is the bending moment.
I hope this helps.