Solution procedure for Indeterminate Structures
# Solution procedure for Indeterminate Structures

## Introduction

Solving a structure means determining the unknown internal forces, reactions and displacements of the structure. When a structure can be solved by using the equations of static equilibrium alone, it is known as determinate structure. A structure can be termed as indeterminate structure if it can not be solved by using the equations of equilibrium alone. Some examples of indeterminate structures are fixed-fixed beam, continuous beam, propped cantilever etc.

## Methods for Solving

To solve an indeterminate structure it is necessary to satisfy equilibrium, compatibility and force-displacement requirements of the structure. The additional equations required to solve indeterminate structure are obtained by the conditions of compatibility and/or force-displacement relations. The number of additional equations required to solve an indeterminate structure is known as degree of indeterminacy. Based on the types of unknown, a structure can be termed as statically indeterminate or kinematically indeterminate.

The following methods are used to solve indeterminate structures:

* Flexibility method
* Slope deflection method
* Moment distribution method
* Direct stiffness method
* Relative Deformation co-efficient method
