The moment-curvature relation at a plastic hinge is A. Linear B. Parabolic C. Constant moment for all curvatures D. Constant curvature for all moments

Linear
Parabolic
Constant moment for all curvatures
Constant curvature for all moments

The correct answer is B. Parabolic.

A plastic hinge is a point in a structure where the bending moment is large enough to cause the material to yield plastically. This results in a loss of stiffness, and the structure can no longer carry the same load. The moment-curvature relation at a plastic hinge is parabolic, which means that the moment increases with the square of the curvature. This is because the plastic deformation of the material is non-linear.

Option A is incorrect because the moment-curvature relation is not linear. Option C is incorrect because the moment is not constant for all curvatures. Option D is incorrect because the curvature is not constant for all moments.