Question

In curved beams the distribution of bending stress is

• A. Linear
• B. Parabolic
• C. Uniform
• D. Hyperbolic

Hint:

Unlike straight beams, curved beams don't follow linear stress distribution.

Answer 1

The Correct Option is D

In the context of curved beams, the analysis of stress distribution is different from straight beams due to the geometry and the resultant forces. In straight beams, the bending stress is distributed linearly across the section. However, in curved beams, the bending stress distribution becomes non-linear. Specifically, for curved beams, the stress distribution follows a hyperbolic pattern. This is due to the differential curvature and axial force interactions that create a varying stress intensity across the depth of the beam. This hyperbolic stress distribution is characterized by higher stresses on the concave side of the curved beam and lower stresses on the convex side. Understanding this pattern is crucial in the design and analysis of structural elements in aerospace engineering where curved geometries are common.