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Neenu
February 10, 2019

Continuous beamÂ Bridge ; Image Courtesy:Â www.wisegeek.com |

There are two types of indeterminacy:

- Static Indeterminacy
- Kinematic Indeterminacy

This is the degree of indeterminacy of the structure. It is of two types:

- External Indeterminacy
- Internal Indeterminacy

It deals with the number of unknownÂ support reactions in excess of available equilibrium equations.

The set of equilibrium equations are Î£Fx = 0; Î£Fy = 0 ; Î£Mxy = 0;

The set of equilibrium equations are : Î£Fx = 0; Î£Fy = 0 ; Î£Fz = 0; Î£Mxy = 0;Â Î£Myz = 0;Â Î£Mxz = 0;

E. I = Number of Unknown support reactions - No: of equilibrium equations

E.I = R - 3 [ For 2D Structure ];

E.I = R - 6 [ For 3D Structure ];

**Internal Indeterminacy**

It is the number of internal forces or reactions in excess of equilibrium equations. The number of equilibrium equations for 2D and 3D are mentioned above. The internal forces are:

Shear force = Fy

Axial Force = Fx

Bending Moment = Mxy

Shear Force = Fy and Fz

Axial Force = Fx

Bending Moment = Mxy, Myz and Mxz

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