Temperature and Shrinkage Loads

Temperature and Shrinkage Loads can be defined at individual levels or multiple levels in a multistory model. Both load types are modeled as Patch Loads and as such, can be entered by definition of patch load vertices or by mapping of a patch load to a slab region by use of the Patch Load Wizard. Temperature and Shrinkage load cases must be set up by the user in the Load Case Manager. The load case is then designated as a temperature or shrinakge load case. Multiple load cases can be defined for either of the load types.

Temperature Loads

The temperature loading formulation in ADAPT-Builder is based on Hooke's strain-stress law where strain elongation components εx and εy are extended to include the temperature effects. In the case of 2D elasticity, this stress-strain law is expressed as follows:

Where (σx, σy, τxy, τyz, τzx) are the stress components, (εx, εy, γxy, γyz, γzx) are the strain components, E is the modulus of elasticity, μ is the Poisson’s ratio and αx and αy are the coefficients of thermal expansion along x and y direction respectively. T is the thermal load.

In ADAPT-Builder, the implementation assumes that the materials are thermally isotropic, therefore the coefficients of thermal expansion are equal αx = αy.

Thermal load is understood as the differential or gradient in temperature rise or fall from ambient conditions. ADAPT-Builder assumes that temperature fields are stationary (steady-state). No heat transfer or thermal transient effects are considered. The temperature fields in frame and shell elements implemented in ADAPT-Builder are modeled as linearly varying along the element width and through the element thickness. This linear behavior formulation is based on user-defined input values representing temperature gradients at the analytical nodes of the top and bottom shell or frame elements.

The formulation of temperature effects in plates (shell quadrilaterals) which is implemented in ADAPT-Builder follows the assumptions of the thin plate theory of Kirchhoff-Love.

Temperature loads modeled as patch loads apply to all components (shell and frame elements) that fall under a specific definition and placement of the temperature load and are referenced from the same level as the load. Differential or uniform temperature input for slabs, beams, columns and walls is available as part of the patch load dialogue window associated with the temperature load.

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Shrinkage Loads

Shrinkage loads (represented as input strains) are modeled as patch loads and apply to all components (shell and frame elements) that fall under a specific definition and placement of the shrinkage load and are referenced from the same level as the load. Shrinkage load is analytically represented as uniform strain over its defined input region.

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