Bending of Curved Bars (Continued) — Lesson 7

This lesson covers the concept of calculating stresses in curved beams. It delves into the differences between straight and curved beams, explaining how the stress distribution varies in each case. The lesson also provides a detailed walkthrough of how to calculate the radius of curvature of the neutral axis and the eccentricity. It further explains how these calculations can be used to determine the stresses in the beam. The lesson uses practical examples such as crane hooks and stress frames to illustrate these concepts.

Video Highlights

00:39 - Introduction to the determination of eccentricity of a T section
03:49 - Calculation of the radius of curvature of the cross-section
10:43 - Calculation of the radius of curvature of the cross-section
15:39 - Comparison of the stresses in a rectangular cross-section under the action of bending
48:45 - Explanation of the stress distribution in curved beams

Key Takeaways

- The stress distribution in curved beams is non-linear, unlike in straight beams where it is linear.
- The neutral axis in a curved beam always shifts towards the center of curvature due to the higher stresses acting on the inner fibers.
- The stresses in a curved beam are different from those in a straight beam, with higher stresses acting on the inner fibers of a curved beam.