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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
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