Arche 3 Theory Of Structures2D
Exact Analysis of Indeterminate Structures: Displacement Methods - Theory & Concepts - Moment Distribution Table
The Slope-Deflection Method and the Moment Distribution Method for analyzing indeterminate beams and frames.
Open the complete lessonMoment Distribution Method Simulator
A (Fixed)
B (Roller)
C (Fixed)
Uniform Load: 20 kN/m on spans AB and BC (L = 10m)
20 kN/m
| Joint | A | B | C | |
|---|---|---|---|---|
| Member | AB | BA | BC | CB |
| DF | 0 | 0.5 | 0.5 | 0 |
| Initial FEMs | -166.67 | 166.67 | -166.67 | 166.67 |
| Cycle 1 (Dist) | 0.00 | 0.00 | ||
| Cycle 1 (CO) | 0.00 | 0.00 | ||
| Cycle 2 (Dist) | 0.00 | 0.00 | ||
| Cycle 2 (CO) | 0.00 | 0.00 | ||
| Cycle 3 (Dist) | 0.00 | 0.00 | ||
| Cycle 3 (CO) | 0.00 | 0.00 | ||
| Cycle 4 (Dist) | 0.00 | 0.00 | ||
| Cycle 4 (CO) | 0.00 | 0.00 | ||
| Cycle 5 (Dist) | 0.00 | 0.00 | ||
| Cycle 5 (CO) | 0.00 | 0.00 | ||
| Final Moments | -166.67 | 166.67 | -166.67 | 166.67 |
Note how the unbalanced moment at joint B is distributed (multiplied by DF and reversed in sign), and then half of that distributed moment is carried over to the fixed ends A and C.
Related simulations
Module 1: Introduction to Structural Analysis and Loads - Theory & Concepts - Structural Load CombinationsModule 2: Stability and Determinacy - Theory & Concepts - Truss DeterminacyModule 2: Stability and Determinacy - Theory & Concepts - Arch StabilityModule 3: Analysis of Statically Determinate Structures - Theory & Concepts - Structural Shear Moment