Arche 3 Theory Of Structures Simulations
A collection of interactive 3D visualizations and simulations to help you master concepts in arche 3 theory of structures.
Module 1: Introduction to Structural Analysis and Loads - Theory & Concepts - Structural Load Combinations
Classification of structures, design loads per NSCP, load path and tributary areas.
LRFD Load Combinations Simulator (NSCP 2015)
Input Loads (kN)
Factored Combinations
Governing Load Combination:
Combo 5: 1.2D + 1.0E + 1.0L = 250.0 kN
Module 2: Stability and Determinacy - Theory & Concepts - Truss Determinacy
Conditions for stability, external and internal determinacy, degree of indeterminacy.
Truss Determinacy Calculator
Equation: m + r = 2j
m + r = 5 + 3 = 8
2j = 2(4) = 8
Assumes internal arrangement is stable and reactions are non-concurrent/non-parallel.
Module 2: Stability and Determinacy - Theory & Concepts - Arch Stability
Conditions for stability, external and internal determinacy, degree of indeterminacy.
Beam Stability & Support Reactions
Left Support
Roller
Right Support
Roller
Module 3: Analysis of Statically Determinate Structures - Theory & Concepts - Structural Shear Moment
Reactions of multi-span beams, complex roof trusses, and three-hinged arches.
Beam Shear and Moment Simulator
Visualize internal forces for a simply supported beam ().
Free Body Diagram
Shear Diagram (V)Max: 25.0 kN
Bending Moment Diagram (M)Max: 125.0 kN·m
Parameters
Module 4: Moving Loads and Influence Lines - Theory & Concepts - Truss Influence Line
Concept of moving loads, influence lines for determinate beams, maximum shear and moment.
Truss Influence Line Simulator
Move the load across the bottom chord of the Pratt truss to see how the force in the selected member changes. Negative values indicate compression, and positive values indicate tension.
Module 4: Moving Loads and Influence Lines - Theory & Concepts - Arch Influence Line
Concept of moving loads, influence lines for determinate beams, maximum shear and moment.
Three-Hinged Arch: Influence Line for Thrust
Ay = 0.50 kN
By = 0.50 kN
H = 0.50 kN
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.
Moment Distribution Method Simulator
Uniform Load: 20 kN/m on spans AB and BC (L = 10m)
| 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.