A fixed beam subjected to a central point load against gravity, the number of points of contraflexure and their positions respectively are

Explanation:

So, total number of point or contraflexure = 2

Location or point or contraflexure is \(\frac{L}{4}\) distance from both the support. 

Additional Information

Point of contraflexure

• The points of contraflexure (or inflection) are points of zero bending moment, i.e. where the beam changes its curvature from hogging to sagging
• In a bending beam, point of contraflexure is a location where the bending moment Is zero (changes its sign).
• In. the bending moment diagram it is the point at which the bending moment curve intersects with the zero lines.
• At the point of contra flexure, the bending moment is zero.