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If shear force diagram between two sections is constant, BM diagram between those two section varies
- a)Linearly
- b)Parabolically
- c)Hyperbolically
- d)Remains constant
Correct answer is option 'A'. Can you explain this answer?
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Most Upvoted Answer
If shear force diagram between two sections is constant, BM diagram b...
Shear Force and Bending Moment Diagrams
Shear force and bending moment diagrams are graphical representations of the internal forces acting on a beam. A shear force diagram shows the variation of shear force along the length of the beam, while a bending moment diagram shows the variation of bending moment along the length of the beam.
Relationship between Shear Force and Bending Moment
The shear force at any section of a beam is equal to the rate of change of bending moment at that section. Mathematically, we can express this relationship as:
V = dM/dx
where V is the shear force, M is the bending moment, and x is the distance along the beam.
Constant Shear Force Diagram
If the shear force diagram between two sections of a beam is constant, it means that the rate of change of bending moment between those sections is constant as well. In other words, the slope of the bending moment diagram between those sections is constant.
Linear Bending Moment Diagram
Since the shear force is constant between the two sections, the bending moment must vary linearly between those sections. This means that the slope of the bending moment diagram is constant, which results in a linear variation of bending moment.
Conclusion
In summary, if the shear force diagram between two sections of a beam is constant, the bending moment diagram between those sections varies linearly. This relationship is based on the fundamental equation that relates shear force to bending moment in a beam.
Shear force and bending moment diagrams are graphical representations of the internal forces acting on a beam. A shear force diagram shows the variation of shear force along the length of the beam, while a bending moment diagram shows the variation of bending moment along the length of the beam.
Relationship between Shear Force and Bending Moment
The shear force at any section of a beam is equal to the rate of change of bending moment at that section. Mathematically, we can express this relationship as:
V = dM/dx
where V is the shear force, M is the bending moment, and x is the distance along the beam.
Constant Shear Force Diagram
If the shear force diagram between two sections of a beam is constant, it means that the rate of change of bending moment between those sections is constant as well. In other words, the slope of the bending moment diagram between those sections is constant.
Linear Bending Moment Diagram
Since the shear force is constant between the two sections, the bending moment must vary linearly between those sections. This means that the slope of the bending moment diagram is constant, which results in a linear variation of bending moment.
Conclusion
In summary, if the shear force diagram between two sections of a beam is constant, the bending moment diagram between those sections varies linearly. This relationship is based on the fundamental equation that relates shear force to bending moment in a beam.
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Community Answer
If shear force diagram between two sections is constant, BM diagram b...
Integration of shear force gives bm. so integration of constant gives linear equation
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If shear force diagram between two sections is constant, BM diagram between those two section variesa) Linearlyb) Parabolicallyc) Hyperbolicallyd) Remains constantCorrect answer is option 'A'. Can you explain this answer?
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