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
Software Verification PROGRAM NAME: REVISION NO.:
SAP2000 0
RESULTS COMPARISON Independent results are hand calculated using the unit load method described on page 244 in Cook and Young 1985.
Output Parameter
SAP2000
Independent
Percent Difference
Uz (cantilever tip) in
-0.8036
-0.8036
0%
COMPUTER FILE: Example 1-008 CONCLUSION The SAP2000 results show an exact comparison with the independent results.
EXAMPLE 1-008 - 2
Software Verification PROGRAM NAME: REVISION NO.:
SAP2000 0
HAND CALCULATION
EXAMPLE 1-008 - 3
Software Verification PROGRAM NAME: REVISION NO.:
SAP2000 0
EXAMPLE 1-008 - 4