Plate Bending (Continued) — Lesson 4

This lesson covers the concept of bending in circular plates subjected to axis symmetric loading. It explains the equation of deformation and how the slope is related to deflection. The lesson also discusses the formation of the plate under different loading conditions and how to calculate the shear force per unit length. It further explores specific examples such as a pressure vessel subjected to pressure loading. The lesson also explains the conditions that can exist at different points on the plate and how to calculate the deflection and maximum stresses. The lesson concludes by comparing the stress variation along the radius in the case of simply supported and clamped plates.

Video Highlights

0:35 - Introduction to the bending of circular plates subjected to axis symmetric loading and the equation of deformation.
07:14 - Explanation of the deformation and stresses that can occur in the pressure vessel.
19:12 - Explanation of the conditions for a clamped plate and calculation of the maximum deflection and stresses.
36:13 - Explanation of the conditions for a simply supported plate and calculation of the maximum deflection and stresses.
53:16 - Comparison of the stress variation along the radius for both clamped and simply supported plates.

Key Takeaways

- For a clamped plate subjected to a distributed load, the maximum deflection occurs at the center of the plate and the maximum stresses occur at the top and bottom fibers of the plate.
- For a simply supported plate subjected to a distributed load, the maximum deflection also occurs at the center of the plate.
- For a simply supported plate subjected to a distributed load, the maximum stresses occur at the top and bottom fibers of the plate in the radial direction.
- The stress variation along the radius of both clamped and simply supported plates can be compared. Both sigma 1 maximum and sigma 2 maximum are equal at the center of the plate.