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Fig. 8.33. Pure bending of a curved beam.

The boundary conditions for the curved beam case are:

(i) arr — 0 at r = a and r = b (a and b are the inside and outside radii, respectively);

(ii) f^oee = 0, for the equilibrium of forces, over any cross-section;

(iii) /j7 ogerdr = —M, for the equilibrium of moments, over any cross-section;

Using these conditions the constants A, B and C can be determined. The final stress equations are as follows:

7i a