Information and Pool Sap2000 Manuals English Problem 1 003
4
Click here to load reader
-
Upload
horacio-nelson-astete-wesche -
Category
Documents
-
view
220 -
download
0
Transcript of Information and Pool Sap2000 Manuals English Problem 1 003
7/25/2019 Information and Pool Sap2000 Manuals English Problem 1 003
http://slidepdf.com/reader/full/information-and-pool-sap2000-manuals-english-problem-1-003 1/4
COMPUTERS &
STRUCTURES
INC.
R Software Verification
PROGRAM NAME: SAP2000
REVISION NO.: 0
EXAMPLE 1-003 - 1
EXAMPLE 1-003
FRAME - DISTRIBUTED AND CONCENTRATED MOMENTS
EXAMPLE DESCRIPTION
This example tests distributed and concentrated moments assigned to frame
objects, by applying torsional moments on a shaft. In SAP2000, you can apply
distributed (uniform, trapezoidal and triangular) and concentrated moments toframe objects.
In this example a 1-inch-diameter circular shaft, fixed at one end, is loaded withvarious types of torsional moments in two different load cases. The resulting
torsional reaction at the fixed end and the rotation at two joints along the shaft
are compared with independent, hand calculated results.
GEOMETRY, PROPERTIES AND LOADING
5"
Geometry
Load Case 1
Material Properties
E = 28,990 k/in2
v = 0.3G= 11,150
Section Properties
J = 0.09817 in4
Z
X
10"
2" 1" 2"
Load Case 2
1 2 3 4 51 2 3 4
1 k-in/in
1.5 k-in/in
Load CasesLoad Case 1: 1 k-in/in uniform distributed
torsion on frame element 2 and 2 k-in torsionon the joint 4 end of frame object 3
Load Case 2: Triangular distributed torsion witha maximum value of 1.5 k-in/in on frameelement 1 and 2 k-in torsion on the joint 5
end of frame object 4
2 k-in
2 k-in
7/25/2019 Information and Pool Sap2000 Manuals English Problem 1 003
http://slidepdf.com/reader/full/information-and-pool-sap2000-manuals-english-problem-1-003 2/4
COMPUTERS &
STRUCTURES
INC.
R Software Verification
PROGRAM NAME: SAP2000
REVISION NO.: 0
EXAMPLE 1-003 - 2
TECHNICAL FEATURES OF SAP2000 TESTED
The application of Distributed moments (uniform, trapezoidal, triangular) to frame objects Concentrated moments to frame objects
RESULTS COMPARISON
The independent results are based on hand calculations using equation 8.1.3 on
page 284 in Cook and Young 1985.
LoadCase
OutputParameters SAP2000 Independent
PercentDifference
Mx(jt. 1) k-in -4.0 -4.0 0%
Rx (jt. 3) rad. 0.02375 0. 02375 0%1
Rx (jt. 5) rad. 0.02558 0. 02558 0%
Mx(jt. 1) k-in -5.75 -5.75 0%
Rx (jt. 3) rad. 0.02421 0. 02421 0%2
Rx (jt.5) rad. 0.02969 0. 02969 0%
COMPUTER FILE: Example 1-003
CONCLUSION
The SAP2000 results show an exact match with the independent solution.
7/25/2019 Information and Pool Sap2000 Manuals English Problem 1 003
http://slidepdf.com/reader/full/information-and-pool-sap2000-manuals-english-problem-1-003 3/4
COMPUTERS &
STRUCTURES
INC.
R Software Verification
PROGRAM NAME: SAP2000
REVISION NO.: 0
EXAMPLE 1-003 - 3
HAND CALCULATION
7/25/2019 Information and Pool Sap2000 Manuals English Problem 1 003
http://slidepdf.com/reader/full/information-and-pool-sap2000-manuals-english-problem-1-003 4/4
COMPUTERS &
STRUCTURES
INC.
R Software Verification
PROGRAM NAME: SAP2000
REVISION NO.: 0
EXAMPLE 1-003 - 4
