Question

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

• A. linear
• B. non-linear and hyperbolic
• C. non-linear and parabolic
• D. none of the above

Answer 1

Answer:

B. non-linear and hyperbolic

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