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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
Dr. Haz
im D
wairi
Create a new modelCreate a new model
Dr. Hazim DwairiDr. Hazim Dwairi The Hashemite UniversityThe Hashemite University
Select Units
Select New Model
Select 2D FramesSelect 2D Frames
Dr. Hazim DwairiDr. Hazim Dwairi The Hashemite UniversityThe Hashemite University
Select 2D FrameDr. Haz
im D
wairi
Input Geometry DataInput Geometry Data
Dr. Hazim DwairiDr. Hazim Dwairi The Hashemite UniversityThe Hashemite University
Define MaterialDefine Material
Dr. Hazim DwairiDr. Hazim Dwairi The Hashemite UniversityThe Hashemite University
Dr. Haz
im D
wairi
Define Material Define Material
Dr. Hazim DwairiDr. Hazim Dwairi The Hashemite UniversityThe Hashemite University
Define Frame Section 1Define Frame Section 1
Dr. Hazim DwairiDr. Hazim Dwairi The Hashemite UniversityThe Hashemite University
Dr. Haz
im D
wairi
Add General SectionAdd General Section
Dr. Hazim DwairiDr. Hazim Dwairi The Hashemite UniversityThe Hashemite University
Input Moment of InertiaInput Moment of Inertia
Dr. Hazim DwairiDr. Hazim Dwairi The Hashemite UniversityThe Hashemite University
Moment of Inertia m4Dr. Haz
im D
wairi
Change Section Name & MaterialChange Section Name & Material
Dr. Hazim DwairiDr. Hazim Dwairi The Hashemite UniversityThe Hashemite University
Define Frame Section 2Define Frame Section 2
Dr. Hazim DwairiDr. Hazim Dwairi The Hashemite UniversityThe Hashemite University
Dr. Haz
im D
wairi
Define Link Section 1 Define Link Section 1
Dr. Hazim DwairiDr. Hazim Dwairi The Hashemite UniversityThe Hashemite University
Add New Link 1Add New Link 1
Dr. Hazim DwairiDr. Hazim Dwairi The Hashemite UniversityThe Hashemite University
Mass kN.s2/m
Dr. Haz
im D
wairi
Add Link 2Add Link 2
Dr. Hazim DwairiDr. Hazim Dwairi The Hashemite UniversityThe Hashemite University
Delete Beam ElementsDelete Beam Elements
Dr. Hazim DwairiDr. Hazim Dwairi The Hashemite UniversityThe Hashemite University
Delete Elements
Dr. Haz
im D
wairi
Draw Link ElementsDraw Link Elements
Dr. Hazim DwairiDr. Hazim Dwairi The Hashemite UniversityThe Hashemite University
Draw Link 2 ElementDraw Link 2 Element
Dr. Hazim DwairiDr. Hazim Dwairi The Hashemite UniversityThe Hashemite University
LINK 1
Dr. Haz
im D
wairi
Select Top Story ColumnsSelect Top Story Columns
Dr. Hazim DwairiDr. Hazim Dwairi The Hashemite UniversityThe Hashemite University
Select Elements
Assign K1 Frame SectionAssign K1 Frame Section
Dr. Hazim DwairiDr. Hazim Dwairi The Hashemite UniversityThe Hashemite University
Dr. Haz
im D
wairi
Assign K2 Frame SectionAssign K2 Frame Section
Dr. Hazim DwairiDr. Hazim Dwairi The Hashemite UniversityThe Hashemite University
Assign Fixed SupportsAssign Fixed Supports
Dr. Hazim DwairiDr. Hazim Dwairi The Hashemite UniversityThe Hashemite University
Select JointsDr. Haz
im D
wairi
Assign SupportsAssign Supports’’ Degrees of Degrees of FreedomFreedom
Dr. Hazim DwairiDr. Hazim Dwairi The Hashemite UniversityThe Hashemite University
Assign Degrees of FreedomAssign Degrees of Freedom
Dr. Hazim DwairiDr. Hazim Dwairi The Hashemite UniversityThe Hashemite University
Dr. Haz
im D
wairi
Run SoftwareRun Software
Dr. Hazim DwairiDr. Hazim Dwairi The Hashemite UniversityThe Hashemite University
ModeMode--Shape 1Shape 1
Dr. Hazim DwairiDr. Hazim Dwairi The Hashemite UniversityThe Hashemite University
Dr. Haz
im D
wairi
ModeMode--shape 1shape 1
Dr. Hazim DwairiDr. Hazim Dwairi The Hashemite UniversityThe Hashemite University
ModeMode--shape 2shape 2
Dr. Hazim DwairiDr. Hazim Dwairi The Hashemite UniversityThe Hashemite University
Dr. Haz
im D
wairi
ModeMode--shape 2shape 2
Dr. Hazim DwairiDr. Hazim Dwairi The Hashemite UniversityThe Hashemite University
ModeMode--shape 2shape 2
Dr. Hazim DwairiDr. Hazim Dwairi The Hashemite UniversityThe Hashemite University
Dr. Haz
im D
wairi
Modal PropertiesModal Properties
•• Natural Periods and Mode ShapesNatural Periods and Mode Shapes
•• Normalized Mode ShapesNormalized Mode Shapes
Dr. Hazim DwairiDr. Hazim Dwairi The Hashemite UniversityThe Hashemite University
sTsT
n
n
62.026.1
2
1
==
⎭⎬⎫
⎩⎨⎧−
=2574.18
2574.182φ
⎭⎬⎫
⎩⎨⎧
=9099.128199.25
1φ
⎭⎬⎫
⎩⎨⎧−
=1
12φ
⎭⎬⎫
⎩⎨⎧
=5.0
11φ
Dr. Haz
im D
wairi
