What is compatibility equation in structural analysis?

Compatibility conditions are those equations that are essential for solving indeterminate structures, considering the displacement equilibrium of the structure. Compatibility means at a joint in structure there cannot be more than one displacement i.e. horizontal, vertical, or rotational.

What are the different methods of analysis of indeterminate structures?

The following methods are used to solve indeterminate structures: Flexibility method. Slope deflection method. Moment distribution method.

What is DSI in structural analysis?

The frame in which longitudinal deflection takes place when the horizontal load is applied is known as a sway frame. Eccentric loading, unsymmetrical EI, unequal vertical members, and unsymmetrical supports are the reason behind the swaying of frames.

What are the two methods for determination of forces name them?

We have two methods of analysing structures, one is the force method (Flexibility method) and the rest one is the displacement method (displacement method).

What is the use of compatibility equation?

Compatibility is a method used to provide extra equations when trying to find the unknown(s) in an indeterminate member.

Why flexibility method is also called as compatibility method or force method?

It is called the flexibility method because flexibilities appear in the equations of compatibility. Another name for the method is the force method because forces are the unknown quantities in equations of compatibility.

Which of following method is used to Analyse statically indeterminate structures?

The force method of analysis, also known as the method of consistent deformation, uses equilibrium equations and compatibility conditions to determine the unknowns in statically indeterminate structures.

What is sway and non-sway?

What is sway and non-sway frame? A frame is considered to be non-sway (braced) if it is sufficiently braced by lateral bracing elements like structural walls. On the other hand, frames that provide lateral resistance only through columns are considered to be sway frames (unbraced).

What is carryover factor?

Carry-over factor (COF): It is the ratio of moment produced at the far end to the applied moment at that support end. The COF for different end conditions is given below: 1) When far end is fixed. C O F = M / 2 M = 1 2. 2) When far end is Hinged.

What is the compatibility condition used in the flexibility method?

The basic methods of structural analysis applicable to framed structures are the Flexibility Method and the Stiffness Method. The Flexibility method is also called force method or compatibility method because the main unknowns are forces and the resultant equations to be solved are compatibility equations.

Why is flexibility method also called as compatibility method or force method?