Section Library

For the case of the uniaxial section, moment-curvature and axial force-deformation curves are defined independently, and numerically.

For the case of the fiber sections (steel and RC), uniaxial materials are defined numerically (stress-strain relationship) and are combined into a fiber section where moment-curvature and axial force-deformation characteristics and their interaction are calculated computationally.

Uniaxial Section

ExampleSection Uniaxial.gif

Notes
  • Flexure and axial behavior are uncoupled in this type of section
Files

AISC Standard W Section

ExampleSection W.gif

Notes
  • Coupled biaxial flexure and axial behavior
Files

Reinforced Concrete Section -- Rectangular Symmetric Section, Unconfined Concrete

ExampleSection RCSymmUnconf.gif

Notes
  • Coupled biaxial flexure and axial behavior
Files

Reinforced Concrete Section -- Rectangular Symmetric Section, Confined Concrete Core

ExampleSection RCSymmConf.gif

Notes
  • Coupled biaxial flexure and axial behavior
Files

Reinforced Concrete Section -- Rectangular Section

ExampleSection RCrect.gif

Notes
  • Coupled biaxial flexure and axial behavior
  • generic rectangular section

Reinforced Concrete Section -- Circular Section, Confined Core

ExampleSection RCcirc.gif

Notes
  • Coupled biaxial flexure and axial behavior
  • generic circular section

Reinforced Concrete Hollow Section -- Symmetric Section, Confined Concrete

Notes
  • Coupled biaxial flexure and axial behavior

Moment-Curvature Analysis

  • This example introduces the moment-curvature procedures for sections in 2D or 3D space, as built in the previous section. (the only difference between them is the degree-of-freedom corresponding to curvature).
  • The moment-curvature analysis of a section is by creating a zero-length rotational-spring element. This section is subjected to a user-defined constant axial load and to a linearly-increasing moment to a user-defined maximum curvature.

2D Moment-Curvature Analysis

Files Notes

3D Moment-Curvature Analysis

Files


Run

The model and analysis combinations for this example are numerous. The following are an small subset, for demonstration purposes:

  • To run Uniaxial-Section Model, 2D
puts " --------------------------------- 2D Model ---------------"
puts " a. Uniaxial Section"
source Ex9a.build.UniaxialSection2D.tcl
source Ex9.analyze.MomentCurvature2D.tcl
  • To run RC Section: Rectangular, Confined, Symmetric Model, 3D
puts " --------------------------------- 3D Model ---------------"
puts " d. RC Section: Rectangular, Confined, Symmetric"
source Ex9d.build.RectConfinedSymm3D.tcl
source Ex9.analyze.MomentCurvature3D.tcl