sap200 v12 modal analysis example - civilittee-hu.com
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The Hashemite University
Department of Civil Engineering
Dr. Hazim DwairiDr. Hazim Dwairi The Hashemite UniversityThe Hashemite University
SAP2000 V12 SAP2000 V12 –– Modal Modal Analysis ExampleAnalysis Example
Dr. Hazim DwairiDr. Hazim Dwairi
Dr. Hazim DwairiDr. Hazim Dwairi The Hashemite UniversityThe Hashemite University
Modal Analysis ExampleModal Analysis Example
•• The frame shown has very stiff beams, The frame shown has very stiff beams, which can be idealized as 2which can be idealized as 2--DOF. DOF. Determine the modal properties of the Determine the modal properties of the structure (i.e. natural frequencies and structure (i.e. natural frequencies and modemode--shapes) using SAP2000 softwareshapes) using SAP2000 software
3m
3m
m1
m2
k1 k1
k2 k2
m1 = 1 N.s2/m
m2 = 2 N.s2/m
k1 = 12EI/L3 = 25 N/m
k2 = 12EI/L3 = 50 N/m
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Create a new modelCreate a new model
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Select Units
Select New Model
Select 2D FramesSelect 2D Frames
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Select 2D FrameDr. Haz
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Input Geometry DataInput Geometry Data
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Define MaterialDefine Material
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Define Material Define Material
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Define Frame Section 1Define Frame Section 1
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Add General SectionAdd General Section
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Input Moment of InertiaInput Moment of Inertia
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Moment of Inertia m4Dr. Haz
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Change Section Name & MaterialChange Section Name & Material
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Define Frame Section 2Define Frame Section 2
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Define Link Section 1 Define Link Section 1
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Add New Link 1Add New Link 1
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Mass kN.s2/m
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Add Link 2Add Link 2
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Delete Beam ElementsDelete Beam Elements
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Delete Elements
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Draw Link ElementsDraw Link Elements
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Draw Link 2 ElementDraw Link 2 Element
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LINK 1
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Select Top Story ColumnsSelect Top Story Columns
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Select Elements
Assign K1 Frame SectionAssign K1 Frame Section
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Assign K2 Frame SectionAssign K2 Frame Section
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Assign Fixed SupportsAssign Fixed Supports
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Select JointsDr. Haz
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Assign SupportsAssign Supports’’ Degrees of Degrees of FreedomFreedom
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Assign Degrees of FreedomAssign Degrees of Freedom
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Run SoftwareRun Software
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ModeMode--Shape 1Shape 1
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ModeMode--shape 1shape 1
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ModeMode--shape 2shape 2
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ModeMode--shape 2shape 2
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ModeMode--shape 2shape 2
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Modal PropertiesModal Properties
•• Natural Periods and Mode ShapesNatural Periods and Mode Shapes
•• Normalized Mode ShapesNormalized Mode Shapes
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sTsT
n
n
62.026.1
2
1
==
⎭⎬⎫
⎩⎨⎧−
=2574.18
2574.182φ
⎭⎬⎫
⎩⎨⎧
=9099.128199.25
1φ
⎭⎬⎫
⎩⎨⎧−
=1
12φ
⎭⎬⎫
⎩⎨⎧
=5.0
11φ
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im D
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