# Mohr's Arbelos and Lamé's Ellipsoids

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Mohr's arbelos and Lamé's ellipsoids are two representations of the stress state at any point of a continuum. These give a geometric interpretation of the stress vector as a function of the direction of the normal to the infinitesimal facet across which this stress is exchanged.

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Contributed by: Maurizio Brocato (February 2020)

Open content licensed under CC BY-NC-SA

## Snapshots

## Details

The black arrow represents the normal vector (a symbolic representation of the material facet normal to is also shown). The purple arrow represents the stress vector ; the dashed red arrow represents the component of in the direction of ; the dashed blue arrow represents the component of orthogonal to .

More information about the example can be found in [1].

Reference

[1] M. Brocato, *Cours de mécanique des structures. Volume 1. Poutres élastiques*, Paris: Presses des Ponts, forthcoming.

## Permanent Citation