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There’s another way her shoe could break, and this is due to the compressive stress due to the bending moment applied to her heel every time she walks.

There will be an unknown bending moment M0 at B, and the system3 of fictitious loads is 1⁄12wAB�/EI at G the middle point of AB, 1⁄12wBC� / EI at G′ the middle point of BC, −�M0AB / EI at g and −�M0BC / EI at g′, where g and g′ are the points of trisection nearer to B of the spans AB, BC.

As regards the strain in the beam, the longitudinal and lateral extensions and contractions depend on the bending moment in the same way as in the simpler problem; but, the bending moment being variable, the anticlastic curvature produced is also variable.

The deflection of the beam is determined from the equation curvature of central line = bending moment � flexural rigidity, and the special conditions at the supported end; there is no alteration of this statement on account of the shears.

When the ordinary relation between the curvature and the bending moment is applied to the calculation of the deflection of continuous beams it must not be forgotten that a correction of the kind just mentioned may possibly be requisite.