Beam Distortion

A beam distortion can be a displacement discontinuity or a rotation discontinuity. For a displacement discontinuity of at the rotation is then

For a rotational discontinuity of at the rotation is calculated by defining a displacement of at then the angle and end 0 and at end 1 gives the set of equations

Substituting for in the last equation gives

Substituting for terms in

Then the rotation angles at end 0 and 1 are