The document provides an outline for a presentation on the moment distribution method for structural analysis. It includes: - An introduction to the moment distribution method and its use for analyzing statically indeterminate beams and frames. - Definitions of important terms used in the method like stiffness, carry over factor, and distribution factor. - Sign conventions for support moments, member rotations, and sinking of supports. - Expressions for fixed end moments under different load cases including centric loading, eccentric loading, uniform loads, support rotations, and sinking of supports. - Examples of applying the method to a simply supported beam and fixed supported beam with sinking support.

1. GANDHINAGR INSTITUTE OF
TECHNOLOGY
• Active Learning Assignment
• Subject-Structural Analysis-2 (2150608)
• Topic- Moment Distribution method
• Group members:
• 130120106022
• 130120106024
• 130120106039
• 130120106045
• Guided by:
• Prof. Jay Parmar
• Prof. Sandeep Kapadiya

2. Outline of the presentation
• Introduction to moment distribution method.
• Important terms.
• Sign conventions.
• Fixed end moments (FEM)
• Examples;
• (A) example of simply supported beam
• (B) example of fixed supported beam with sinking of
support.

3. Introduction
• The moment distribution method was first introduced
by Prof. Hardy Cross of Illinois University in 1930.
• This method provides a convinient means of analysing
statically indeterminate beams and rigid frames.
• It is used when number of reduntants are large and
when other method becomes very tedious.

4. Important terms
1. Stiffness
The moment required to produce a unit rotation (slope)
at a simply supported end of a member is called
Stiffness. It is denoted by 'K'.
A) Stiffness when both ends are hinged.
B) Stiffness when both ends are fixed.

5. Cont...
A) Beam hinged at both ends:

6. Cont..
B) Beam hinged at near end and fixed at far end:

7. Cont..
Carry over factor (C.O.F):

8. Cont..
Distribution factor (D.F.)
● The factor by which the applied moment is
distributed to the member is known as the
distribution factor.
● Figure:
●
- far-end pined (DF = 1)
- far-end fixed (DF = 0)

9. Cont..

10. Cont....

11. Sign Conventions
A) Support moments :
clockwise moment = +ve
anticlockwise moment = -ve
B) Rotation (slope):
clockwise moment = +ve
anticlockwise moment = -ve

12. Cont...
C) Sinking (settlement)
● The settlement will be taken as +ve, if it rotates the
beam as a whole in clockwise direction.
● The settlement will be taken as -ve, if it rotates the
beam as a whole in anti-clockwise direction.

13. Fixed End Moments
● The fixed end moments for the various load cases is
as shown in figure;
● a) for centric loading;

14. Cont..
b) for eccentric loading, udl,rotation,sinking of
supports & uvl

15. Cont..

16. Cont...
● Fixed end moment for sinking of supports :

17. Example
1

19. Cont..

23. Example 3