## Saint Venants Principle

is This famous principle of Saint Venant was enunciated in 1855 and is of great importance in applied elasticity where it is often invoked to justify certain "simplified" solutions to complex problem.

In elastostatics, if the boundary tractions on a part r of the boundary r are replaced by a statically equivalent traction distribution, the effects on the stress distribution in the body are negligible at points whose distance from r is large compared to the maximum distance between points of ri.

i9 For instance the analysis of the problem in Fig. 9.4 can be greatly simplified if the tractions on r1 are replaced by a concentrated statically equivalent force.

dx dx

Figure 9.4: St-Venant's Principle

Figure 9.4: St-Venant's Principle

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