title page and contents

ISO SAP041709M4 Rev. 0 Version 14 Berkeley, California, USA April 2009

SAP2000

Integrated Software for Structural Analysis and Design

Analysis Verification Examples

Copyright

Copyright Computers and Structures, Inc., 1978-2009. All rights reserved.

The CSI Logo and SAP2000 are registered trademarks of Computers and Structures, Inc. Watch & LearnTM is a trademark of Computers and Structures, Inc. Windows is a registered trademark of Microsoft Corporation. Adobe and Acrobat are registered trademarks of Adobe Systems Incorporated.

The computer program SAP2000 and all associated documentation are proprietary and copyrighted products. Worldwide rights of ownership rest with Computers & Structures, Inc. Unlicensed use of this program or reproduction of documentation in any form, without prior written authorization from Computers & Structures, Inc., is explicitly prohibited.

No part of this publication may be reproduced or distributed in any form or by any means, or stored in a database or retrieval system, without the prior explicit written permission of the publisher.

Further information and copies of this documentation may be obtained from:

Computers & Structures, Inc. 1995 University Avenue Berkeley, California 94704 USA

Phone: (510) 649-2200 FAX: (510) 649-2299 e-mail: [email protected] (for general questions) e-mail: [email protected] (for technical support questions) web: www.csiberkeley.com

DISCLAIMER

CONSIDERABLE TIME, EFFORT AND EXPENSE HAVE GONE INTO THE DEVELOPMENT AND TESTING OF THIS SOFTWARE. HOWEVER, THE USER ACCEPTS AND UNDERSTANDS THAT NO WARRANTY IS EXPRESSED OR IMPLIED BY THE DEVELOPERS OR THE DISTRIBUTORS ON THE ACCURACY OR THE RELIABILITY OF THIS PRODUCT.

THIS PRODUCT IS A PRACTICAL AND POWERFUL TOOL FOR STRUCTURAL DESIGN. HOWEVER, THE USER MUST EXPLICITLY UNDERSTAND THE BASIC ASSUMPTIONS OF THE SOFTWARE MODELING, ANALYSIS, AND DESIGN ALGORITHMS AND COMPENSATE FOR THE ASPECTS THAT ARE NOT ADDRESSED.

THE INFORMATION PRODUCED BY THE SOFTWARE MUST BE CHECKED BY A QUALIFIED AND EXPERIENCED ENGINEER. THE ENGINEER MUST INDEPENDENTLY VERIFY THE RESULTS AND TAKE PROFESSIONAL RESPONSIBILITY FOR THE INFORMATION THAT IS USED.

Software Verification PROGRAM NAME: SAP2000 REVISION NO.: 6

CONTENTS - 1

CONTENTS

Introduction Methodology

Acceptance Criteria Summary of Examples Matrix of Program Features Covered in Example Problems

Automating the SAP2000 Verification Checking Process

Examples

Frames 1-001 General Loading

1-002 Temperature Loading

1-003 Distributed and Concentrated Moments

1-004 Rotated Local Axes

1-005 Displacement Loading

1-006 Non-Prismatic Sections and Automatic Frame Subdivision

1-007 End Releases

1-008 Partial Fixity End Releases

1-009 Prestress Applied To Frame Objects

1-010 End Offsets

1-011 Insertion Point

1-012 No Tension and No Compression Frame Objects

1-013 Simply Supported Beam on Elastic Foundation

1-014 Eigenvalue Problem

1-015 Steady State Harmonic Loads

1-016 Tension Stiffening Using P-Delta Analysis

1-017 Vibration of a String Under Tension

1-018 Bending, Shear and Axial Deformations in a Rigid Frame


CONTENTS - 2

1-019 Buckling of a Rigid Frame

1-020 Response Spectrum Analysis of a Two-Dimensional Rigid Frame

1-021 Bathe and Wilson Eigenvalue Problem

1-022 Two-Dimensional Moment Frame with Static and Dynamic Loads

1-023 ASME Eigenvalue Problem

1-024 Response Spectrum Analysis of a Three-Dimensional Moment Frame

1-025 Response Spectrum Analysis of a Three-Dimensional Braced Frame

1-026 Moment and Shear Hinges

1-027 Construction Sequence Loading

1-028 Large Axial Displacements

1-029 Large Bending Displacements

1-030 Moving Loads

Shells

2-001 Patch Test With Prescribed Displacements

2-002 Straight Beam with Static Loads

2-003 Curved Beam with Static Loads

2-004 Twisted Beam with Static Loads

2-005 Rectangular Plate with Static Loads

2-006 Scordelis-Lo Roof with Static Loads

2-007 Hemispherical Shell Structure with Static Loads

2-008 Cantilever Plate Eigenvalue Problem

2-009 Plate on Elastic Foundation

2-010 Cylinder with Internal Pressure

2-011 ASME Cooling Tower Problem with Static Wind Pressure

2-012 Plate Bending when Shear Deformations Are Significant

2-013 Temperature Load that Is Constant Through Shell Thickness

2-014 Temperature Gradient Through Shell Thickness

2-015 Orthotropic Plate

2-016 Out-of-Plane Buckling

2-017 In-Plane Buckling

2-018 Large Axial Displacements

2-019 Large Bending Displacements

2-020 Prestress Applied to Area Objects


CONTENTS - 3

Planes 3-001 Patch Test With Prescribed Displacements



3-004 Thick-Walled Cylinder

3-005 Pore Pressure

Asolids

4-001 Soil Supporting Uniformly Loaded Circular Footing


4-003 Rotating Annular Disk

4-004 Pore Pressure

Solids

5-001 Patch Test With Prescribed Displacements



5-004 Twisted Beam with Static Loads

5-005 Rectangular Plate with Static Loads

5-006 Scordelis-Lo Roof with Static Loads

5-007 Hemispherical Dome Structure with Static Loads


5-009 Prestress Applied to Solid Objects

5-010 Buckling

5-011 Temperature Load

5-012 Plate on Elastic Foundation

5-013 Pore Pressure


CONTENTS - 4

Links 6-001 Linear Link with Ramp Loading

6-002 Multi-Linear Elastic Link

6-003 Gap Element

6-004 Hook Element

6-005 Damper Element Under Harmonic Loading

6-006 SUNY Buffalo Damper with Linear Velocity Exponent

6-007 SUNY Buffalo Damper with Nonlinear Velocity Exponent

6-008 Plastic Wen Link

6-009 Plastic Kinematic Link

6-010 SUNY Buffalo Eight-Story Building with Rubber Isolators

6-011 SUNY Buffalo Seven-Story Building with Friction Pendulum Isolators

6-012 Frequency Dependent Links

Cables

7-001 Uniform and Temperature Loading

7-002 Uniform and Concentrated Loading

7-003 Prestressed Cable Net

Conclusions

Frames Area Elements - Shells, Planes and Asolids Solids Links Cables

References

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