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The bending moment diagram of a simply supported beam with a point load at centre is:
  • a)
    Rectangle
  • b)
    An equilateral triangle 
  • c)
    A right angled triangle
  • d)
    An isosceles triangle
Correct answer is option 'D'. Can you explain this answer?
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Explanation:
The bending moment diagram of a simply supported beam with a point load at the center is an isosceles triangle.

Beam and Load Configuration:
- A simply supported beam is a beam that is supported on both ends, allowing it to rotate freely at those points.
- The point load refers to a concentrated load acting at a specific location on the beam.

Bending Moment:
- The bending moment is a measure of the internal bending forces acting on a beam as a result of external loads.
- It is represented by a diagram that shows the variation of bending moment along the length of the beam.

Forces and Reactions:
- In the case of a simply supported beam with a point load at the center, there are two reactions at the supports: an upward reaction at each support.
- The point load at the center creates a downward force on the beam.

Mid-Span Bending Moment:
- The bending moment is zero at the supports and reaches a maximum at the center of the beam.
- At the center, the bending moment is at its maximum value and changes sign from positive to negative.

Bending Moment Distribution:
- As we move away from the center of the beam towards the supports, the bending moment gradually decreases.
- The distribution of the bending moment is symmetric about the center, resulting in an isosceles triangle shape.

Conclusion:
- The bending moment diagram of a simply supported beam with a point load at the center is an isosceles triangle.
- This is because the bending moment reaches its maximum value at the center and gradually decreases towards the supports, resulting in a symmetric distribution.
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The bending moment diagram of a simply supported beam with a point load at centre is:a)Rectangleb)An equilateral trianglec)A right angled triangled)An isosceles triangleCorrect answer is option 'D'. Can you explain this answer?
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