SAP200 V12 Modal Analysis Example - civilittee-hu.com

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

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

m1 = 1 N.s2/m

m2 = 2 N.s2/m

k1 = 12EI/L3 = 25 N/m

k2 = 12EI/L3 = 50 N/m

Dr. Haz

Create a new modelCreate a new model

Select Units

Select New Model

Select 2D FramesSelect 2D Frames

Select 2D FrameDr. Haz

Input Geometry DataInput Geometry Data

Define MaterialDefine Material

Dr. Haz

Define Material Define Material

Define Frame Section 1Define Frame Section 1

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Add General SectionAdd General Section

Input Moment of InertiaInput Moment of Inertia

Moment of Inertia m4Dr. Haz

Change Section Name & MaterialChange Section Name & Material

Define Frame Section 2Define Frame Section 2

Dr. Haz

Define Link Section 1 Define Link Section 1

Add New Link 1Add New Link 1

Mass kN.s2/m

Dr. Haz

Add Link 2Add Link 2

Delete Beam ElementsDelete Beam Elements

Delete Elements

Dr. Haz

Draw Link ElementsDraw Link Elements

Draw Link 2 ElementDraw Link 2 Element

LINK 1

Dr. Haz

Select Top Story ColumnsSelect Top Story Columns

Select Elements

Assign K1 Frame SectionAssign K1 Frame Section

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Assign K2 Frame SectionAssign K2 Frame Section

Assign Fixed SupportsAssign Fixed Supports

Select JointsDr. Haz

Assign SupportsAssign Supports’’ Degrees of Degrees of FreedomFreedom

Assign Degrees of FreedomAssign Degrees of Freedom

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Run SoftwareRun Software

ModeMode--Shape 1Shape 1

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ModeMode--shape 1shape 1

Dr. Haz

Modal PropertiesModal Properties

•• Natural Periods and Mode ShapesNatural Periods and Mode Shapes

•• Normalized Mode ShapesNormalized Mode Shapes

62.026.1

⎭⎬⎫

⎩⎨⎧−

=2574.18

2574.182φ

⎭⎬⎫

⎩⎨⎧

=9099.128199.25

⎭⎬⎫

⎩⎨⎧−

⎭⎬⎫

⎩⎨⎧

Dr. Haz

SAP200 V12 Modal Analysis Example - civilittee-hu.com

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