Examples on Plate Bending— Lesson 5

This lesson covers the comparison of stresses in simply supported and clamped plates under uniform stresses. It explains the stresses acting in the radial and tangential direction in both cases. The lesson also discusses the variation of sigma 1 and sigma 2 for simply supported and clamped plates. It further elaborates on the maximum stress which occurs at the center of the plates and the difference in stress levels in simply supported and clamped plates. The lesson also provides an understanding of the deflection in the plates and the reasons behind the different stress levels. It concludes with the calculation of bending moments and stresses in circular plates.

Video Highlights

00:35 - Introduction to comparison of stresses in simply supported and clamped plates under uniform stresses.
08:33 - Explanation of the movement applied by the support to undo the curvature of the plate.
09:52 - Discussion on the difference in stresses in the case of a clamped plate.
12:57 - Explanation of the procedure for calculating deflection and stresses in a plate with a concentrated load at the center.
21:37 - Calculation of the bending moment necessary for calculation of stresses.
42:36 - Discussion on the maximum deflection and maximum stress in plates of certain geometry.
49:26 - Comparison of the exact stress distribution with the approximate value.

Key Takeaways

- The stresses in simply supported and clamped plates under uniform stresses vary in the radial and tangential direction.
- The maximum stress occurs at the center of the plates and is higher in the case of simply supported plates.
- The deflection in the plates is also higher in the case of simply supported plates.
- The bending moments and stresses in circular plates can be calculated using specific formulas.
- An approximate method can be used for calculating stresses in circular plates, which provides a rough estimate of the stress distribution.