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The stress distribution in a curved beam, when subjected to a pure-bending couple, is

Alinear

Bnon-linear and hyperbolic

Cnon-linear and parabolic

Dnone of the above

Answer:

B. non-linear and hyperbolic

Read Explanation:

Curved beams have a shifted neutral axis and non-linear, hyperbolic stress distribution when subjected to pure-bending couple. The bending stress is given byσtheta=MyAe(Ry) \sigma_{theta} = -\frac{My}{Ae(R - y)} where M is bending moment, y is distance axis, A is cross-sectional area, e is RRNR - R_{N}, R is radius of centroidal axis and RNR_{N} is radius of neutral axis.

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