Approximate Solutions for Bending of Rectangular and Circular Plates — Lesson 6

This lesson covers the calculation of stress in a plate that is simply supported at the edges and subjected to uniformly distributed pressure loading. It explains how to calculate the stresses for this case using an approximate approach. The lesson also discusses the concept of bending moment and how it can be calculated. It further explains how to calculate the maximum stress and deflection in a plate. The lesson provides illustrative examples and problem-solving exercises to help learners understand these concepts better. It also discusses the application of these concepts in the design of a plate and how to calculate the thickness and maximum deflection of the plate.

Video Highlights

00:37 - Introduction to calculating stress in a plate
02:28 - Explanation of bending moment acting on a plate
07:38 - Calculation of maximum stress in a plate
11:20 - Calculation of stress in a rectangular plate
24:16 - Problem-solving examples

Key Takeaways

- For a simply supported rectangular plate under uniform loading, the reactions and stress distributions are more complex compared to circular plates. The reactions vary along the boundary and are calculated for equilibrium.
- For a plate with a concentrated load at its center, stress calculations involve determining the bending moment first and then applying formulas to find the maximum stress.
- For rectangular plates subjected to uniform loading, reactions and stress distributions are more complex compared to circular plates.