# Flexure under Line Load

The graph below allows you to test the influence of different line loads/displacements and effective elastic thickness on the flexure of a plate. Just drag the sliders to modify the values. You find a short description of the governing equation below.

## Plate Flexure due to Line Load

Flexure, , of an elastic plate due to a line load / end displacement, , is

If the plate is broken then the sine term is dropped.

is the distance from the line load and is

where is the flexural rigidity, which is related to Young’s modulus , Poisson’s ratio , and the effective elastic thickness through

The other variables are the density of the mantle, , the density of water, , and the gravity acceleration, .

A more detailed derivation can be found in Geodynamics by Turcotte and Schubert.