Software Verification
PROGRAM NAME:
REVISION NO.:
SAP2000
0
EXAMPLE 1-005
FRAME - DISPLACEMENT LOADING
EXAMPLE DESCRIPTION
Using a portal frame, this example verifies SAP2000 for settlement and rotation
of normal supports, skewed supports (settlement only) and spring supports. Note
that for spring supports, the grounded end of the spring is displaced or rotated.
Six different models are created. The models are identical, except for the loading
and the support condition at joint 4 as shown in the figure below. The results for
various support reactions in each model are compared with independent hand
calculations.
Important Note: Only bending deformations are considered in the analysis.
Shear and axial deformations are ignored. In SAP2000 this is achieved by setting
the property modification factor for area to 100,000 and setting the property
modification factor for shear area to 0.
GEOMETRY AND PROPERTIES
144"
2
Y
X
144"
Material Properties
E = 29,000 k/in2
Section Properties
b = 12 in
d = 12 in
A = 144 in2
I = 1,728 in4
4
Support condition at joint 4
varies for each model
EXAMPLE 1-005 - 1
Software Verification
PROGRAM NAME:
REVISION NO.:
SAP2000
0
Model A
0.01 rad
Uz = -0.2"
Uz = -0.5"
SUPPORT CONDITION AT JOINT 4 AND LOADING
Model C
Model B
10 k
Model D
Model
Model E
Support Condition at Joint 4
"
= -1
U3
0.01 rad
Joint local
axes for
skewed
supports
1
cos = 0.8
sin = 0.6
Model F
Loading
Roller
-0.5" Z displacement at joint 4
Z direction translational spring,
k = 10 kip/in
-0.2" Z displacement at joint 4
Roller
0.01 radian rotation about joint 1
Rotational spring about Y axis,
k = 80,000 kip-in/rad
0.01 radian rotation about joint 4
Skewed roller
10 kip Z direction force at
midpoint of frame element 2
Skewed roller
-1" joint local 3 direction
displacement at joint 4
EXAMPLE 1-005 - 2
Software Verification
PROGRAM NAME:
REVISION NO.:
SAP2000
0
TECHNICAL FEATURES OF SAP2000 TESTED
Settlement of support in frame structures
Rotation of support in frame structures
Settlement of support with linear (translational) spring
Rotation of support with rotational spring
Skewed supports
Skewed support settlement
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
Fz (jt. 1) kip
6.293
6.293
0%
My (jt. 1) kip-in
-906.250
-906.250
0%
Fz (jt. 1) kip
1.115
1.115
0%
My (jt. 1) kip-in
-160.492
-160.492
0%
Fz (jt. 1) kip
-18.125
-18.125
0%
My (jt. 1) kip-in
2,610.000
2,610.000
0%
D. Spring
Support
Rotation
My (jt. 1 ) kip
-473.469
-473.469
0%
Ry (jt. 4) rad.
0.00408
0.00408
0%
E. Skewed
Support
Fz (jt. 1) kip
5.811
5.811
0%
F3 (jt. 4) kip
5.236
5.236
0%
Fz (jt. 1) kip
27.215
27.215
0%
My (jt. 1) kip-in
-3,918.919
-3,918.919
0%
Model
A. Support
Settlement
B. Spring
Support
Settlement
C. Support
Rotation
F. Skewed
Support
Settlement
EXAMPLE 1-005 - 3
Software Verification
PROGRAM NAME:
REVISION NO.:
SAP2000
0
COMPUTER FILES: Example 1-005a, Example 1-005b, Example 1-005c, Example 1-005d,
Example 1-005e, Example 1-005f
CONCLUSION
The SAP2000 results show an exact match with the independent results.
EXAMPLE 1-005 - 4
Software Verification
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SAP2000
0
HAND CALCULATION
EXAMPLE 1-005 - 5
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SAP2000
0
EXAMPLE 1-005 - 6
Software Verification
PROGRAM NAME:
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SAP2000
0
EXAMPLE 1-005 - 7
Software Verification
PROGRAM NAME:
REVISION NO.:
SAP2000
0
EXAMPLE 1-005 - 8
Software Verification
PROGRAM NAME:
REVISION NO.:
SAP2000
0
EXAMPLE 1-005 - 9
Software Verification
PROGRAM NAME:
REVISION NO.:
SAP2000
0
EXAMPLE 1-005 - 10
Software Verification
PROGRAM NAME:
REVISION NO.:
SAP2000
0
EXAMPLE 1-005 - 11
