Statically Indeterminate Structures

 

 

Key Concepts: Structures with more supports provided than needed to maintain equilibrium

of the member are said to be statically indeterminate. In such a case neither the support

reactions nor the internal forces, torques and moments can be determined from the equilibrium

equations alone. Solution combines use of equilibrium, geometry, and load-deflection.

 

 

In a Nut Shell:

 

Statically indeterminate means that the forces in various portions of the structure cannot be

determined by statics alone. Deformation must also be considered. Usually there are three

ingredients in a statically indeterminate problem:

 

 

 

1.

 

 

Equilibrium

 

 

2.

 

 

Geometry

 

 

3.

 

 

Load-Deflection

 

 

 

The same three ingredients are in any problem in deformable bodies either statically

determinate or indeterminate. But in the indeterminate case, they must usually be considered

simultaneously.

 

More information is required to analyze this type of problem. Possible statically

indeterminate structures include axial, torsion and bending members.

 

The same three ingredients are in any problem in deformable bodies either statically

determinate or indeterminate. But in the indeterminate case, they must usually be considered

simultaneously.

 

 

 

Click here for discussion and examples of indeterminate axial applications.

 

 

Click here for discussion and examples of indeterminate torsion applications.

 

 

Click here for discussion and examples of indeterminate bending applications.

 

 

 

 

Return to Notes on Solid Mechanics


Copyright © 2019 Richard C. Coddington
All rights reserved.