B

Figure 2.15 Elastically restrained end of a beam, or, for uniform beams t) - X'(£)Y(t) - 0.

Thus, the specific condition to be satisfied is X'(l) = 0.

Elastic Constraint

An elastic constraint (see Fig. 2.15) can be treated as a linearly elastic torsional spring attached to the end of the beam. The twisting moment at the beam end must be equal and opposite to the spring reaction for any finite deflection of the end so that

0 0

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