Software Verification PROGRAM NAME: REVISION NO.:
SAP2000 0
EXAMPLE 1-008 FRAME – PARTIAL FIXITY END RELEASES EXAMPLE DESCRIPTION The frame object partial fixity end releases are tested in this example. In the example a cantilever beam is subjected to a uniform load equal to twice its self weight. At the fixed end of the cantilever the frame object is assigned a partial fixity moment (My) spring and a partial fixity shear (Vz) spring. The vertical tip deflection of the cantilever is compared with independent hand calculated results. Important Note: Both bending and shear deformations are considered in the analysis for this example. Important Note: The uniform load is applied using the gravity load feature of SAP2000. GEOMETRY, PROPERTIES AND LOADING 24' Uniform load = 2 * beam self weight
Partial fixity for moment and shear •Moment spring stiffness: 3,888,000 k-in/rad •Shear spring stiffness: 540 k/in
Z Y
X
Material Properties E = 4,320 k/in2 ν = 0.2 G = 1,800 k/in2 Unit weight = 0.15 k/ft3 Section Properties b = 18 in d = 30 in A = 540 in2 I = 40,500 in4 Av = 450 in2 (shear area)
TECHNICAL FEATURES OF SAP2000 TESTED The partial fixity end releases in a frame element, including Shear partial fixity Bending partial fixity The application of gravity load to a frame object
EXAMPLE 1-008 - 1