The point within the cross-sectional plane of a beam, through which the resultant of the external loading on the beam has to pass through to ensure pure bending without twisting of the cross-section of the beam is called as-

Correct option is C

The Shear Centre (or Shear Axis) is the point through which the resultant of the external loading on the beam must pass to ensure that the beam experiences pure bending without twisting or warping of the cross-section. If the load does not pass through this point, the beam will experience torsion in addition to bending.
 Elastic Centre: Not typically used in this context; it refers to a point related to the elastic behavior of materials.
 Moment Centre: Not a standard term in this context.
 Shear Centre: Correct, as it ensures that the beam bends without twisting.
 Centroid: The center of mass or area of the cross-section, not necessarily related to pure bending without twisting.
Therefore, the correct answer is (c) Shear Centre.