Question

The slope of the curvature is equal to the flexural rotation

Answer 1

The slope or gradient of the of the bending moment curve at any point is equal to the shear force at that point .

Answer 2

The slope of the curvature is not equal to flexural rotation

Explanation:

Flexural equation (M/I)=(P/Y)=(E/R)

Let's take (1/R) = (M/E•I)

There for d/dx of (1/R) which is curvature = d/dx (M) •(1/EI)

Which leads to Shear force.

If (EI) is Consistent then slope of curvature is V/EI.