Bending of Curved Bars — Lesson 6

This lesson covers the concept of bending in curved bars, a topic that extends from the study of bending in straight bars. The lesson explains how the bending moment affects the shape of the bar and how the bending stresses develop under the action of the bending moment. It also discusses the assumptions made in deriving the flexure formula and how these assumptions apply to curved bars. The lesson further explains how to calculate the stresses in components that are initially curved, using examples such as chain links and crane hooks. Towards the end, the lesson provides a detailed explanation on how to calculate the radius of curvature and the eccentricity of the cross-section in different shapes like rectangular and T-sections.

Video Highlights

01:09 - Explanation of the bending moment and how it affects the shape of the bar.
05:30 - Explanation of the assumptions made in deriving the flexure formula.
10:59 - Explanation of how to calculate the stresses in curved bars.
16:19 - Explanation of how to calculate the radius of curvature of the neutral axis.
51:50 - Discussion on how to calculate the eccentricity of the cross section for different shapes of bars.

Key Takeaways

- Bending in curved bars is an extension of the study of bending in straight bars.
- The bending moment affects the shape of the bar and causes bending stresses to develop.
- The flexure formula, derived under certain assumptions, is used to calculate these stresses.
- Components that are initially curved, such as chain links and crane hooks, often experience bending in practical applications.
- The radius of curvature and the eccentricity of the cross-section can be calculated for different shapes, aiding in the understanding of stress distribution in curved bars.