The diagram shown below shows the shearing force diagram for a beam. Which of the following is the CORRECT bending moment diagram for the above shear force diagram?
To solve this problem, we need to understand the relationship between the Shear Force Diagram (SFD) and the Bending Moment Diagram (BMD).
Key Concepts:
- A positive shear force indicates a clockwise moment, and a negative force indicates an anti-clockwise moment.
- The slope of the BMD is determined by the magnitude of the shear force. If the shear force is constant, the BMD is linear.
Given the shear force diagram, let's analyze how it impacts the bending moment diagram:
- From point A to B, the shear force is decreasing linearly from C to 0. This indicates that the bending moment will increase in a parabolic manner.
- The bending moment at any section is the area under the shear force diagram up to that section.
- Since the shear force diagram forms a triangle, the corresponding BMD should be a smooth curve starting from zero at A (as it is a free end) and reaching a maximum value at B, where the shear force transitions to zero.
Therefore, the correct bending moment diagram is a parabolic curve with the apex at the point where the shear force is zero.
Hence, the correct option is:
Important Questions from Shear Force and Bending Moment
The shear force diagram for a simply supported beam carrying a uniformly distributed load of w per unit length, consists of:
The bending moment diagram of a simply supported beam carrying uniformly distributed load over the entire span is-
A simply supported beam is subjected to a linearly varying load from one end to other end. The nature of variation of shear force diagram is-
Which type of beam, freely supported at two points, has one or both ends extending beyond these supports?
Which of the following statements are correct?
