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Created analysis model
Validated analysis model Verified analysis model But do you really understand how your structure is behaving???
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Sensitivity Analysis
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Sensitivity Analysis Investigate the effects of different values for features/parameters. Why? Better understanding of the behaviour of system being modelled. How much is necessary? Depends on how certain you are of the model behaviour.
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Reference model results
Change 1 feature/ parameter New revised model New results Change a different feature/ parameter New revised model New results Change a different feature/ parameter New revised model New results Change variables one at a time, go back to the reference model after each change.
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Consider the parameters most indicative of the model behaviour:
Maximum deflection? Maximum bending moment/shear force/axial force? Lowest natural frequency? Compare and report results without dimensions. Use percentage difference +/- % %diff = (value – reference value)/reference value 100 Or ratios For more detail see:
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Example The Model Geometry:
The model is created in 2D, in the x-y plane. 1.5m 1.3m 1.4m 1.4m 1.4m 1.4m 1.3m 100x100x3.6 SHS – for all top and bottom chord members and vertical members. 100x100x8 EA – for tension diagonals.
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Model 1 – pin joints Axial load Displacement
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Model 2 – fixed/rigid joints
Axial load Bending moment
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Model 3 – no bracing Axial load Bending moment
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Structural system comparison
Comparison of results Max Displacement at node 4 (mm) % difference ratio Max Bending (kNm) % difference Max Axial (kN) compression Reference - Model 1 Pinned truss - -13.67 Model 2 Fixed truss -1.4% 1.0 -13.52 -1.1% Model 3 Vierendeel, no bracing 933.8% 10.5 -2.294 1872.5% -10.62 -22.3% Structural system comparison
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Consider truss chord depth v diagonal depth
Reference model - Model 1 Pinned truss 100x100x3.6 SHS – for all top and bottom chord members and vertical members. 100x100x8 EA – for tension diagonals.
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Model 4 – Equal sections Axial load Displacement
100x100x3.6 SHS – for all top and bottom chord members and vertical members. 100x100x3.6 SHS – for tension diagonals. Axial load Displacement
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Model 5 – section d, Chords–Ties 2:1
100x100x3.6 SHS – for all top and bottom chord members and vertical members. 50x50x3.6 SHS – for tension diagonals. Axial load Displacement
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Model 6 – section d, Chords–Ties 1:2
100x100x3.6 SHS – for all top and bottom chord members and vertical members. 200x200x5 SHS – for tension diagonals. Axial load Displacement
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Truss chord depth v Diagonal depth
Comparison of results Max Displacement at node 4 (mm) % difference ratio x Max Axial (kN) compression Reference Model 1 Pinned SHS & EA - -13.67 Model 4 Equal sections +2.6% 1.02 0% Model 5 d, Chords–Ties 2:1 +27.9% 1.28 Model 6 d, Chords–Ties 1:2 -12.3% 0.88 Truss chord depth v Diagonal depth
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