Kde r

where k is the spring constant. Thus,

which requires that

The reader should verify that the same type of boundary condition at the other end would yield

where the sign change comes about by virtue of the switch in direction noted above for a positive twisting moment.

Inertial Constraint

Here we consider a beam with a rigid body attached to its right end (see Fig. 2.16). This rigid body has a mass moment of inertia about the beam elastic axis denoted by /<., which contributes a concentrated rotational inertia effect. The twisting moment at the beam end must be equal and opposite to the inertial reaction of the concentrated inertia for any

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