An Evolution of Analysis of Complex Structures1. Statically Indeterminate Structures 2. Influence...
Transcript of An Evolution of Analysis of Complex Structures1. Statically Indeterminate Structures 2. Influence...
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An Evolution of Analysis of Complex StructuresAn Evolution of Analysis of Complex Structures
Hans Hutton, P.E., S.E.Iowa DOT 3D Conference
Ames, IA
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Huey P. Long Bridge over Mississippi River at New Orleans, LA - 1933
2381’-6”
790’-0”
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Cantilever Truss
Hinge
HingeSuspended
Span
Simple Span
Anchor Span
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Example of a Pin-Connected Hanger
Hanger
Pin
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Example of a Pin-Connected Truss
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Example of a Pin-Connected Truss
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Methods of Dealing with Rigidity in Riveted Joints
1.Camber2.Style of Truss (e.g. Warren vs. Baltimore)3.Narrow Cross Sections4.Estimate and Include Secondary Stresses
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Today – Computer Analysis
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1. Statically Indeterminate Structures
2. Influence Surface for Live Load Analysis
3. Geometric Nonlinearity
4. Material Nonlinearity
5. Time Dependent Effects (e.g. Creep & Shrinkage)
6. Effective Width of Deck
7. Step-by-Step Time History Analysis
8. Erection Analysis
9. High Order Finite Elements – Complex Geometry
Some Benefits of Computer Analysis
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Modal Analysis
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Influence Surface
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Geometric Nonlinearity
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Material Nonlinearity
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Effective Width of Deck
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Time History Analysis
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Erection Analysis & Time Dependent Effects
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High-Order Finite Elements – Complex Geometry
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Wrong Answer?
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40-ft Simple Span with 1000-kip Force Midspan
Beam Properties:•Web is ½” x 60”•Flanges are 1” x 24”
Shear in Beam = 500-kip
Shear Stress in Beam = 500-kip/(0.5” x 60”) = 16.67-ksi
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Finite Element Analysis Results
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Finite Element Analysis Results
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Finite Element Analysis Results
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Finite Element Analysis Results
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