Module 3 : Equilibrium of rods and plates
  Lecture 1 6 : Bending of thin plates
 

Problem 1

Deflection of a circular plate of radius with clamped edges, placed horizontally in a gravitational field.

, (16.11)

(16.12)

(16.13)

 

Boundary condition: at , and at (16.14)

Show that the deflection of the plate can be obtained as


Problem 2

Deflection of the circular plate of radius with clamped edges, when a force is applied at its center.

Governing equation:

Boundary condition: and at

 

(16.15)

Show that the deflection of the plate can be obtained as,