Software Verification PROGRAM NAME: REVISION NO.:
SAP2000 6
EXAMPLE 1-002 FRAME - TEMPERATURE LOADING EXAMPLE DESCRIPTION The various types of frame temperature loads that can be modeled in SAP2000 are tested in this example using a cantilever beam and a propped cantilever beam. The beam is a 2 inch wide by inch deep rectangular section. In SAP2000, three types of temperature loads can be applied on a frame element: an overall change in temperature; a temperature variation along the element length in the local 1 direction; and a temperature gradient perpendicular to the element length (local 2 or 3 directions). For this example, each of these types of temperature loads is applied separately to both the cantilever beam and the propped cantilever beam. The free-end displacements in the cantilever beam model and the end reaction in the propped cantilever beam model are compared to independent hand calculated results. Important Note: Shear deformations are ignored in this analysis. In SAP2000 this is achieved by setting the property modification factor for shear to 0. GEOMETRY, PROPERTIES AND LOADING 2
10" C
3
3"
Z
X
C
Model A 2"
C
Section C-C C
Material Properties E = 29,000 k/in2 α = 0.0000065 /°F Section Properties A = 6 in2 I = 4.5 in4
Model B
Temperature Loads Load Case 1: Increase of 20 °F Load Case 2: Variation along local 1-axis (X-axis) of 2 °F per inch of element length (20 °F in all) Load Case 3: Gradient along 2-axis (bending about 3-axis) of 20 °F per linear inch (60 °F in 3“ of section height)
EXAMPLE 1-002 - 1