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Structural Modelings

Structural Modelings. Dr. Abdul Razaq Touqan Department of Civil Engineering. Definition. Structural modeling assumptions. Elements 1D 2D 3D Structures 1D structure with 1D elements 2D structure with 1D, 2D elements 3D structure with 1D, 2D, 3D elements. Loading assumptions. Static

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Structural Modelings

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  1. Structural Modelings Dr. Abdul Razaq Touqan Department of Civil Engineering

  2. Definition

  3. Structural modeling assumptions • Elements • 1D • 2D • 3D • Structures • 1D structure with 1D elements • 2D structure with 1D, 2D elements • 3D structure with 1D, 2D, 3D elements

  4. Loading assumptions • Static • Dynamic

  5. 1D, 2D or 3D modeling 1D: slab-beam-column

  6. 1D, 2D or 3D modeling 1D: slab-beam-column/ continued

  7. 1D, 2D or 3D modeling 2D: plane frame

  8. 1D, 2D or 3D modeling 3D: space frame with slabs/walls

  9. Laws versus theories • Structural Analysis laws • constitutive (stress-strain) relationships • equilibrium equations: essential • compatibility equations: optional/present challenge • Structural Analysis theories: • Based on assumptions • Assumptions based on available knowledge • Available knowledge is constrained with available tools like hand calculators and personal computers • All computer programs are based on a set of assumptions on which formulation of the theoretical basis of the software was developed.

  10. Structural analysis system approach Input 1.Goal: system to be designed\reference: creation versus man made 2.Given: understand physics of the system (specify system requirements)\ref: global versus local 3.Create a mathematical model (specify structural system, material and applied loads) Processing 1.Propose a theory: reduce assumptions deviating model from reality\ref: 3D nonlinear dynamic probabilistic soil-soil GIS interaction 2.Formulate equations: according to state of knowledge and available tools \ref: analytical, anatomical, analogical 3.Solve the equations: analyze the structure\ ref: verify analysis laws Output 1.Verify Compatibility 2. Verify equilibrium. 3. Verify stress-strain relationships.

  11. example • A single storey RC slab-beam factory structure shown next page • Fixed foundations, 4 spans 5m bays in x and a single 8m span in y, 6m elevation • E=24GPa, μ=0.2, γ=2.5t/m3 • Slab 25cm thickness, drop beams 30cmX80cm, columns 30X60cm • superimposed loads=5kN/m2, live load=9kN/m2 • Due to cracking of elements, assume modifiers for gross inertia: • Beam 0.35 • Column 0.7 • One way slab (0.35, 0.035)

  12. Analogical: 1D analysis: slab model

  13. 1D analysis: slab analysis

  14. 1D analysis: slab analysis • Wd=(.25*24.5+5)=11.125KN/m • Wl=9KN/m • Wu=1.2*11.125+1.6*9=27.75KN/m

  15. 1D analysis: slab analysis, values of bending moment KN.m

  16. 1D analysis: slab analysis, values of reactions in KN

  17. 1D analysis: beam and column analysis, • Assume simply supported beam: • Beam C, Mu=(129+0.3*.8*24.5)*82 /8=1079 • Beam B, Mu=(159+0.3*.8*24.5)*82 /8=1319 • Beam A, Mu=(54.5*2+0.3*.8*24.5)*82 /8=919 • Column reactions: • Beam C, Ru =(129+0.3*.8*24.5)*8 /2=540 • Beam B, Ru=(159+0.3*.8*24.5)*8 /2=660 • Beam A, Ru =(54.5+0.3*.8*24.5)*8 /2=242

  18. Gravity equilibrium checks • D: • Slab=20X8X(0.25X24.5+5)=1780KN • Beams=(5X8+2X20)X.8X.3X24.5=470KN • Columns=10X6X.3X.6X24.5=264.6KN • Sum=2514.6KN • L: • R =20X8X9=1440KN

  19. Gravity equilibrium checks • SAP results:

  20. Homework: • Analyze and design a one story reinforced concrete structure (entertainment hall) made of one way solid slab sitting on drop beams supported on six square columns 50cm dimensions. The superimposed loads are 300kg/m2, and the live load equal to 400kg/m2 • Analyze using analogical (local practice: slab-beam-column load path) • Analyze using anatomical finite element 3D model (more actual representation) • Compare analogical with anatomical

  21. End of structural modelings Let Learning Continue

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