CFSSSWP
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This command is used to construct a uniaxialMaterial model that simulates the hysteresis response (Shear strength-lateral Displacement) of a steel sheathed Cold-Formed Steel Shear Wall Panel. The hysteresis model has smooth curves and takes into account the strength and stiffness degradation, as well as pinching effect.
uniaxialMaterial CFSSSWP $tag $height $width $fuf $fyf $tf $Af $fus $fys $ts $np $ds $Vs $sc $dt $openingArea $openingLength |
$tag Integer identifier used to tag the material model
$height SWP’s height (mm)
$width SWP’s width (mm)
$fuf Tensile strength of framing members (MPa)
$fyf Yield strength of framing members (MPa)
$tf Framing thickness (mm)
$Af Framing cross section area (mm²)
$fus Tensile strength of steel sheet sheathing (MPa)
$fys Yield strength of steel sheet sheathing (MPa)
$ts Sheathing thickness (mm)
$np Sheathing number (one or two sides sheathed)
$ds Screws diameter (mm)
$Vs Screws shear strength (N)
$sc Screw spacing on the sheathing perimeter (mm)
$dt Anchor bolt’s diameter (mm)
$openingArea Total area of openings (mm²)
$openingLength Cumulative length of openings (mm)
DESCRIPTION: The uniaxial hysteresis model of Cold-Formed Steel Shear Wall Panel (CFS-SWP) consists of three parts: backbone curves of the hysteresis loops (states 1 and 2), hysteresis criteria (unloading-reloading path: states 3 and 4) (Fig.2) and deterioration criteria. The following paragraphs will respectively introduce the terms of the three parts. Maximum lateral shear strength and the associated displacement are assessed using two analytical methods for wood and steel sheathed CFS SWP proposed by, respectively, Xu L and Martinez J (2007), and Yanari N and Yu C (2013) which take into account a wide range of factors that affect the behaviour and strength of a CFS SWP, namely: material properties, thickness and geometry of sheathing and framing, spacing of studs, construction details such as size and spacing of sheathing-to-framing connections. In addition to the envelope curve, the proposed hysteresis model requires the introduction of parameters that define the strength and stiffness deterioration, as well as the pinching effect under cyclic loading. Compared to the monotonic test result, the hysteresis response of CFS SWP exhibits strength deterioration; even if the displacement associated to peak strength has not been reached yet. The stiffness deterioration of the proposed model is positively related to strength degraded degree, and is defined in a same way as the strength deterioration.
Fig.1: Unloading-reloading paths of the proposed hysteresis model
Fig.2: Impact of hysteresis damage on shear strength-lateral displacement response In order to account for the overall lateral stiffness and strength of the SWP, an equivalent simple non-linear zeroLength element connected to rigid truss elements which transmit the force to the boundary studs that resist the uniaxial tension and compression stress is used (Fig.3). This modeling tip leads to a considerable reduction in terms of elements number constituting the CFS SWP. The boundary members form a mechanism and the lateral stiffness and strength are derived directly from the zeroLength element. The CFS SWP details, as well as a schematic representation of the finite element model are illustrated in Fig.3.
Fig.3: Cold-Formed Steel Shear Wall Panel details and equivalent OpenSees finite element model simple truss and zeroLength elements.