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This document discusses the moment distribution method for analyzing statically indeterminate structures. It begins with an introduction of the method developed by Prof. Hardy Cross in 1930. Important terms are defined such as stiffness, carry over factor, and distribution factor. Fixed end moments are explained for various load cases like centric loading, eccentric loading, uniform distributed load, and uniform varying load. Two examples are provided - a simply supported beam and a two story building analyzed using the moment distribution method.
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- 1. B.E. V Sem. (Civil Engineering) Department of Civil Engineering Session : 2015-2016 Presented By: B.B.N. Bhai Patel Moment Distribution Method
- 2. • Introduction to moment distribution method. • Important terms. • Fixed end moments (FEM). • Examples; • (A) Example of simply supported beam. • (B) Example of two storey building.
- 3. Introduction • The moment distribution method was first introduced by Prof. Hardy Cross of Illinois University in 1930. • This method provides a convenient means of analyzing statically indeterminate beams and rigid frames. • It is used when number of redundant 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. A) Beam hinged at both ends:
- 6. B) Beam hinged at near end and fixed at far end:
- 7. Carry Over Factor (C.O.F):
- 8. Distribution factor (D.F.) ● The factor by which the applied moment is distributed to the member is known as the distribution factor. Far-end pined (DF = 1) Far-end fixed (DF = 0)
- 10. Fixed End Moments ● The fixed end moments for the various load cases is as shown in figure; ● a) For Centric Loading;
- 11. b) For Eccentric Loading; c) For UDL;
- 12. d) For UVL; e) For Moments;
- 13. Example 1;