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Moment Distribution Method SA-2

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Kaizer Dave
Kaizer Dave

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.

Engineering
1 of 27
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
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.
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.
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.
Cont... A) Beam hinged at both ends:
Cont.. B) Beam hinged at near end and fixed at far end:
Cont.. Carry over factor (C.O.F):
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)
Cont..
Cont....
Sign Conventions A) Support moments : clockwise moment = +ve anticlockwise moment = -ve B) Rotation (slope): clockwise moment = +ve anticlockwise moment = -ve
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.
Fixed End Moments ● The fixed end moments for the various load cases is as shown in figure; ● a) for centric loading;
Cont.. b) for eccentric loading, udl,rotation,sinking of supports & uvl
Cont..
Cont... ● Fixed end moment for sinking of supports :
Example 1
Cont..
Example 3
Moment Distribution Method SA-2
Moment Distribution Method SA-2
Moment Distribution Method SA-2
Moment Distribution Method SA-2

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Moment Distribution Method SA-2

  • 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:
  • 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)
  • 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
  • 16. Cont... ● Fixed end moment for sinking of supports :
  • 18.
  • 20.
  • 21.
  • 22.
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