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In the case of pure bending, the beam will bend into an arc of a

  • a)
    circle 

  • b)
    parabola

  • c)
    ellipse

  • d)
    hyperbola

Correct answer is option 'A'. Can you explain this answer?
Verified Answer
In the case of pure bending, the beam will bend into an arc of aa)circ...
In case of pure moment, bending moment at any section will be same. Thus, using double integration method to find deflection we get the equation of parabola.
 
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In the case of pure bending, the beam will bend into an arc of aa)circ...
Pure Bending and its shape

Pure Bending:
Pure bending refers to the bending of a beam without any shear force. In pure bending, bending moment (M) and curvature (k) are the only forces acting on the beam.

Shape of the Beam:
When a beam is subjected to pure bending, it will bend into an arc of a circle. This is due to the fact that the internal bending moment (M) and curvature (k) are directly proportional to each other.

Curvature:
Curvature is the measure of the amount of bending that occurs in a beam. It is defined as the reciprocal of the radius of curvature (r).

Bending Moment:
Bending moment is the moment that causes the beam to bend. It is a measure of the force that is applied to the beam.

Radius of Curvature:
The radius of curvature is the radius of the circle that the beam would bend into if it were subjected to pure bending.

Conclusion:
Therefore, in the case of pure bending, the beam will bend into an arc of a circle. This is due to the fact that the internal bending moment (M) and curvature (k) are directly proportional to each other.
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