In the bending moment diagram for simply supported beam is of the form...
Introduction:
The bending moment diagram for a simply supported beam provides information about the distribution of bending moments along the length of the beam. Based on the given form of the bending moment diagram, we can determine the type of load acting on the beam. Let's analyze the options provided and determine the correct answer.
Options Analysis:
Option 1: Uniformly distributed load over the whole length of the beam
If the bending moment diagram is of the form where the bending moment is constant and non-zero throughout the length of the beam, it indicates a uniformly distributed load. However, the given bending moment diagram does not exhibit a constant bending moment, so this option can be ruled out.
Option 2: Equal and opposite moments applied at A and B
If the bending moment diagram is of the form where the bending moments at the supports (A and B) are equal in magnitude but opposite in direction, it indicates equal and opposite moments applied at the supports. However, the given bending moment diagram does not exhibit such characteristics, so this option can also be ruled out.
Option 3: A concentrated force at C
If the bending moment diagram is of the form where there is a sudden change in the bending moment at a specific point, it indicates a concentrated force or load at that point. The given bending moment diagram does not exhibit any sudden changes in bending moment, so this option is unlikely.
Option 4: Moment applied at C
If the bending moment diagram is of the form where the bending moment is zero throughout the length of the beam except at a specific point, it indicates a moment applied at that point. The given bending moment diagram shows a non-zero bending moment only at a specific point C, while the rest of the beam has zero bending moment. Therefore, the correct answer is Option 4: Moment applied at C.
Conclusion:
Based on the analysis, the given form of the bending moment diagram suggests that a moment is applied at point C of the simply supported beam. This means that there is a concentrated moment acting at point C while the rest of the beam is free from any bending moment.
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