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Flexural rigidity is defined as the force couple required to bend a rigid structure to a unit curvature.## Flexure of the lithosphere

## See also

In a beam or rod, flexural rigidity varies along the length as a function of x shown in the following equation:

- $EI\; \{dy\; over\; dx\}\; =\; int\_\{0\}^\{x\}\; M(x)\; dx\; +\; C\_1$

where E is the modulus of elasticity, I is the 2nd moment of inertia, y is the transverse displacement of the beam at x, and M(x) is the bending moment at x.

Flexural rigidity has SI units of Pa·m^{4} (which also equals N·m²).

The thin lithospheric plates which cover the surface of the Earth are also subject to flexure, when a load or force is applied to them. On a geological timescale, the lithosphere behaves, elastically (in first approach) and can therefore bend under loading by mountain chains, volcanoes and so on.

The flexure of the plate depends on:

1. The plate thickness (usually referred to as elastic thickness of the lithosphere).

2. The elastic properties of the plate

3. The applied load or force

As flexural rigidity of the plate is determined by the Young's modulus, Poisson's ratio and cube of the plates elastic thickness, it is a governing factor in both (1) and (2).

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Last updated on Tuesday August 05, 2008 at 13:07:59 PDT (GMT -0700)

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This article is licensed under the GNU Free Documentation License.

Last updated on Tuesday August 05, 2008 at 13:07:59 PDT (GMT -0700)

View this article at Wikipedia.org - Edit this article at Wikipedia.org - Donate to the Wikimedia Foundation

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