CSI Analysis Reference Manual
CSI Analysis Reference Manual
CSI Analysis Reference ManualFor SAP2000 , ETABS , SAFE and CSiBridge ISO# GEN062708M1 Rev.15Berkeley, California, USAJuly 2016
COPYRIGHTCopyright Computers & Structures, Inc., 1978-2016All rights reserved.The CSI Logo , SAP2000 , ETABS , SAFE , CSiBridge , and SAPFire areTMregistered trademarks of Computers & Structures, Inc. Model-Alive and WatchTM& Learn are trademarks of Computers & Structures, Inc. Windows is a registered trademark of the Microsoft Corporation. Adobe and Acrobat are registered trademarks of Adobe Systems Incorporated.The computer programs SAP2000 , ETABS , SAFE , and CSiBridge and allassociated documentation are proprietary and copyrighted products. Worldwiderights of ownership rest with Computers & Structures, Inc. Unlicensed use of theseprograms or reproduction of documentation in any form, without prior written authorization from Computers & Structures, Inc., is explicitly prohibited. No part ofthis publication may be reproduced or distributed in any form or by any means, orstored 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.www.csiamerica.cominfo@csiamerica.com (for general information)support@csiamerica.com (for technical support)
DISCLAIMERCONSIDERABLE TIME, EFFORT AND EXPENSE HAVE GONEINTO THE DEVELOPMENT AND TESTING OF THIS SOFTWARE.HOWEVER, THE USER ACCEPTS AND UNDERSTANDS THATNO WARRANTY IS EXPRESSED OR IMPLIED BY THE DEVELOPERS OR THE DISTRIBUTORS ON THE ACCURACY OR THERELIABILITY OF THE PROGRAMS THESE PRODUCTS.THESE PRODUCTS ARE PRACTICAL AND POWERFUL TOOLSFOR STRUCTURAL DESIGN. HOWEVER, THE USER MUST EXPLICITLY UNDERSTAND THE BASIC ASSUMPTIONS OF THESOFTWARE MODELING, ANALYSIS, AND DESIGN ALGORITHMS AND COMPENSATE FOR THE ASPECTS THAT ARENOT ADDRESSED.THE INFORMATION PRODUCED BY THE SOFTWARE MUST BECHECKED BY A QUALIFIED AND EXPERIENCED ENGINEER.THE ENGINEER MUST INDEPENDENTLY VERIFY THE RESULTS AND TAKE PROFESSIONAL RESPONSIBILITY FOR THEINFORMATION THAT IS USED.
ACKNOWLEDGMENTThanks are due to all of the numerous structural engineers, who over theyears have given valuable feedback that has contributed toward the enhancement of this product to its current state.Special recognition is due Dr. Edward L. Wilson, Professor Emeritus,University of California at Berkeley, who was responsible for the conception and development of the original SAP series of programs andwhose continued originality has produced many unique concepts thathave been implemented in this version.
Table of ContentsChapter IIntroductionAnalysis Features . . . . . . . . . . . .Structural Analysis and Design . . . . .About This Manual . . . . . . . . . . .Topics. . . . . . . . . . . . . . . . . .Typographical Conventions . . . . . .Bold for Definitions . . . . . . . .Bold for Variable Data. . . . . . .Italics for Mathematical Variables .Italics for Emphasis . . . . . . . .Capitalized Names . . . . . . . . .Bibliographic References . . . . . . . .Chapter II1.Objects and Elements233344445557Objects . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7Objects and Elements . . . . . . . . . . . . . . . . . . . . . . . . . . . 8Groups . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9Chapter IIICoordinate SystemsOverview . . . . . . . . . . . . . . . . . . . . .Global Coordinate System . . . . . . . . . . . .Upward and Horizontal Directions . . . . . . . .Defining Coordinate Systems . . . . . . . . . . .Vector Cross Product . . . . . . . . . . . . .Defining the Three Axes Using Two Vectors11.121213131314i
CSI Analysis Reference ManualLocal Coordinate Systems. . . . . . . . . . . . . . . . . . . . . . . . 14Alternate Coordinate Systems . . . . . . . . . . . . . . . . . . . . . . 16Cylindrical and Spherical Coordinates . . . . . . . . . . . . . . . . . 17Chapter IVJoints and Degrees of FreedomOverview . . . . . . . . . . . . . . . . . . . . . . . . . . .Modeling Considerations . . . . . . . . . . . . . . . . . . .Local Coordinate System . . . . . . . . . . . . . . . . . . .Advanced Local Coordinate System . . . . . . . . . . . . .Reference Vectors . . . . . . . . . . . . . . . . . . . .Defining the Axis Reference Vector . . . . . . . . . . .Defining the Plane Reference Vector. . . . . . . . . . .Determining the Local Axes from the Reference VectorsJoint Coordinate Angles . . . . . . . . . . . . . . . . .Degrees of Freedom . . . . . . . . . . . . . . . . . . . . . .Available and Unavailable Degrees of Freedom . . . . .Restrained Degrees of Freedom . . . . . . . . . . . . .Constrained Degrees of Freedom. . . . . . . . . . . . .Mixing Restraints and Constraints Not Recommended .Active Degrees of Freedom . . . . . . . . . . . . . . .Null Degrees of Freedom. . . . . . . . . . . . . . . . .Restraint Supports . . . . . . . . . . . . . . . . . . . . . . .Spring Supports . . . . . . . . . . . . . . . . . . . . . . . .Nonlinear Supports . . . . . . . . . . . . . . . . . . . . . .Distributed Supports . . . . . . . . . . . . . . . . . . . . .Joint Reactions . . . . . . . . . . . . . . . . . . . . . . . .Base Reactions . . . . . . . . . . . . . . . . . . . . . . . .Masses. . . . . . . . . . . . . . . . . . . . . . . . . . . . .Force Load . . . . . . . . . . . . . . . . . . . . . . . . . .Ground Displacement Load . . . . . . . . . . . . . . . . . .Restraint Displacements . . . . . . . . . . . . . . . . .Spring Displacements . . . . . . . . . . . . . . . . . .Link/Support Displacements . . . . . . . . . . . . . . .Generalized Displacements . . . . . . . . . . . . . . . . . .Degree of Freedom Output . . . . . . . . . . . . . . . . . .Assembled Joint Mass Output. . . . . . . . . . . . . . . . .Displacement Output . . . . . . . . . . . . . . . . . . . . .Force Output . . . . . . . . . . . . . . . . . . . . . . . . .Element Joint Force Output . . . . . . . . . . . . . . . . . 404242434445454647474848
Table of ContentsChapter VConstraints and WeldsOverview . . . . . . . . . . . . .Body Constraint . . . . . . . . . .Joint Connectivity . . . . . .Local Coordinate System . . .Constraint Equations . . . . .Plane Definition . . . . . . . . . .Diaphragm Constraint . . . . . . .Joint Connectivity . . . . . .Local Coordinate System . . .Constraint Equations . . . . .Plate Constraint . . . . . . . . . .Joint Connectivity . . . . . .Local Coordinate System . . .Constraint Equations . . . . .Axis Definition . . . . . . . . . .Rod Constraint . . . . . . . . . .Joint Connectivity . . . . . .Local Coordinate System . . .Constraint Equations . . . . .Beam Constraint. . . . . . . . . .Joint Connectivity . . . . . .Local Coordinate System . . .Constraint Equations . . . . .Equal Constraint. . . . . . . . . .Joint Connectivity . . . . . .Local Coordinate System . . .Selected Degrees of FreedomConstraint Equations . . . . .Local Constraint . . . . . . . . . .Joint Connectivity . . . . . .No Local Coordinate System .Selected Degrees of FreedomConstraint Equations . . . . .Welds . . . . . . . . . . . . . . .Automatic Master Joints. . . . . .Stiffness, Mass, and Loads . .Local Coordinate Systems . .Constraint Output . . . . . . . . 596060606061616262626566666767iii
CSI Analysis Reference ManualChapter VIMaterial Properties69Overview . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 70Local Coordinate System . . . . . . . . . . . . . . . . . . . . . . . . 70Stresses and Strains . . . . . . . . . . . . . . . . . . . . . . . . . . . 71Isotropic Materials . . . . . . . . . . . . . . . . . . . . . . . . . . . 73Uniaxial Materials . . . . . . . . . . . . . . . . . . . . . . . . . . . . 74Orthotropic Materials . . . . . . . . . . . . . . . . . . . . . . . . . . 75Anisotropic Materials . . . . . . . . . . . . . . . . . . . . . . . . . . 75Temperature-Dependent Properties . . . . . . . . . . . . . . . . . . . 76Element Material Temperature . . . . . . . . . . . . . . . . . . . . . 77Mass Density . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 77Weight Density . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 78Material Damping . . . . . . . . . . . . . . . . . . . . . . . . . . . . 78Modal Damping . . . . . . . . . . . . . . . . . . . . . . . . . . 79Viscous Proportional Damping. . . . . . . . . . . . . . . . . . . 80Hysteretic Proportional Damping . . . . . . . . . . . . . . . . . 80Nonlinear Material Behavior . . . . . . . . . . . . . . . . . . . . . . 80Tension and Compression . . . . . . . . . . . . . . . . . . . . . 81Shear . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 81Hysteresis. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 82Application . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 83Friction and Dilitational Angles . . . . . . . . . . . . . . . . . . 84Hysteresis Models . . . . . . . . . . . . . . . . . . . . . . . . . . . . 85Backbone Curve (Action vs. Deformation) . . . . . . . . . . . . 86Cyclic Behavior. . . . . . . . . . . . . . . . . . . . . . . . . . . 86Elastic Hysteresis Model . . . . . . . . . . . . . . . . . . . . . . 88Kinematic Hysteresis Model . . . . . . . . . . . . . . . . . . . . 88Degrading Hysteresis Model . . . . . . . . . . . . . . . . . . . . 89Takeda Hysteresis Model. . . . . . . . . . . . . . . . . . . . . . 93Pivot Hysteresis Model . . . . . . . . . . . . . . . . . . . . . . . 94Concrete Hysteresis Model . . . . . . . . . . . . . . . . . . . . . 95BRB Hardening Hysteresis Model . . . . . . . . . . . . . . . . . 97Isotropic Hysteresis Model . . . . . . . . . . . . . . . . . . . . . 99Modified Darwin-Pecknold Concrete Model . . . . . . . . . . . . . 100Time-dependent Properties . . . . . . . . . . . . . . . . . . . . . . 101Properties . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 101Time-Integration Control . . . . . . . . . . . . . . . . . . . . . 102Design-Type . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 102iv
Table of ContentsChapter VIIThe Frame ElementOverview. . . . . . . . . . . . . . . . . . . . . .Joint Connectivity . . . . . . . . . . . . . . . . .Insertion Points . . . . . . . . . . . . . . . .Degrees of Freedom . . . . . . . . . . . . . . . .Local Coordinate System . . . . . . . . . . . . .Longitudinal Axis 1 . . . . . . . . . . . . . .Default Orientation . . . . . . . . . . . . . .Coordinate Angle . . . . . . . . . . . . . . .Advanced Local Coordinate System . . . . . . . .Reference Vector . . . . . . . . . . . . . . .Determining Transverse Axes 2 and 3 . . . .Section Properties . . . . . . . . . . . . . . . . .Local Coordinate System . . . . . . . . . . .Material Properties . . . . . . . . . . . . . .Geometric Properties and Section Stiffnesses.Shape Type . . . . . . . . . . . . . . . . . .Automatic Section Property Calculation . . .Section Property Database Files. . . . . . . .Section-Designer Sections . . . . . . . . . .Additional Mass and Weight . . . . . . . . .Non-prismatic Sections . . . . . . . . . . . .Property Modifiers . . . . . . . . . . . . . . . . .Named Property Sets . . . . . . . . . . . . .Insertion Points . . . . . . . . . . . . . . . . . .Local Axes . . . . . . . . . . . . . . . . . .End Offsets. . . . . . . . . . . . . . . . . . . . .Clear Length. . . . . . . . . . . . . . . . . .Rigid-end Factor . . . . . . . . . . . . . . .Effect upon Non-prismatic Elements . . . . .Effect upon Internal Force Output . . . . . .Effect upon End Releases . . . . . . . . . . .End Releases . . . . . . . . . . . . . . . . . . . .Unstable End Releases . . . . . . . . . . . .Effect of End Offsets . . . . . . . . . . . . .Named Property Sets . . . . . . . . . . . . .Nonlinear Properties . . . . . . . . . . . . . . . .Tension/Compression Limits . . . . . . . . .Plastic Hinge . . . . . . . . . . . . . . . . .Mass . . . . . . . . . . . . . . . . . . . . . . . .Self-Weight Load . . . . . . . . . . . . . . . . 1132132132133133134134134v
CSI Analysis Reference ManualGravity Load . . . . . . .Concentrated Span Load .Distributed Span Load . .Loaded Length . . .Load Intensity . . . .Projected Loads . . .Temperature Load . . . .Strain Load . . . . . . . .Deformation Load . . . .Target-Force Load . . . .Internal Force Output . .Effect of End OffsetsStress Output . . . . . . .Chapter e Cable ElementOverview. . . . . . . . . . . .Joint Connectivity . . . . . . .Undeformed Length . . . . . .Shape Calculator . . . . . . . .Cable vs. Frame Elements.Number of Segments . . .Degrees of Freedom . . . . . .vi.Hinge PropertiesOverview. . . . . . . . . . . . . . . . . . . . . . .Hinge Properties . . . . . . . . . . . . . . . . . . .Hinge Length . . . . . . . . . . . . . . . . . .Plastic Deformation Curve . . . . . . . . . . .Scaling the Curve . . . . . . . . . . . . . . . .Strength Loss . . . . . . . . . . . . . . . . . .Types of P-M2-M3 Hinges . . . . . . . . . . .Isotropic P-M2-M3 Hinge. . . . . . . . . . . .Parametric P-M2-M3 Hinge. . . . . . . . . . .Fiber P-M2-M3 Hinge . . . . . . . . . . . . .Hysteresis Models . . . . . . . . . . . . . . . .Automatic, User-Defined, and Generated PropertiesAutomatic Hinge Properties . . . . . . . . . . . . .Analysis Modeling . . . . . . . . . . . . . . . . . .Computational Considerations . . . . . . . . . . . .Analysis Results . . . . . . . . . . . . . . . . . . .Chapter 3165.166167167168169170170
Table of ContentsLocal Coordinate System . . . . . . . . . . . . .Section Properties . . . . . . . . . . . . . . . . .Material Properties . . . . . . . . . . . . . .Geometric Properties and Section Stiffnesses.Mass . . . . . . . . . . . . . . . . . . . . . . . .Self-Weight Load . . . . . . . . . . . . . . . . .Gravity Load . . . . . . . . . . . . . . . . . . . .Distributed Span Load . . . . . . . . . . . . . . .Temperature Load . . . . . . . . . . . . . . . . .Strain and Deformation Load . . . . . . . . . . .Target-Force Load . . . . . . . . . . . . . . . . .Nonlinear Analysis. . . . . . . . . . . . . . . . .Element Output . . . . . . . . . . . . . . . . . .Chapter X.The Shell ElementOverview. . . . . . . . . . . . . . . . . . . .Homogeneous . . . . . . . . . . . . . . .Layered . . . . . . . . . . . . . . . . . .Joint Connectivity . . . . . . . . . . . . . . .Shape Guidelines . . . . . . . . . . . . .Edge Constraints . . . . . . . . . . . . . . . .Degrees of Freedom . . . . . . . . . . . . . .Local Coordinate System . . . . . . . . . . .Normal Axis 3. . . . . . . . . . . . . . .Default Orientation . . . . . . . . . . . .Element Coordinate Angle . . . . . . . .Advanced Local Coordinate System . . . . . .Reference Vector . . . . . . . . . . . . .Determining Tangential Axes 1 and 2 . .Section Properties . . . . . . . . . . . . . . .Area Section Type. . . . . . . . . . . . .Shell Section Type . . . . . . . . . . . .Homogeneous Section Properties . . . . .Layered Section Property . . . . . . . . .Property Modifiers . . . . . . . . . . . . . . .Named Property Sets . . . . . . . . . . .Joint Offsets and Thickness Overwrites . . . .Joint Offsets . . . . . . . . . . . . . . . .Effect of Joint Offsets on the Local Axes .Thickness Overwrites . . . . . . . . . . 3201202203203204205vii
CSI Analysis Reference ManualMass . . . . . . . . . . . . . . .Self-Weight Load . . . . . . . .Gravity Load . . . . . . . . . . .Uniform Load . . . . . . . . . .Surface Pressure Load . . . . . .Temperature Load . . . . . . . .Strain Load . . . . . . . . . . . .Internal Force and Stress Output.Chapter XI.206206207207208209210210215.The Asolid ElementOverview. . . . . . . . .Joint Connectivity . . . .Degrees of Freedom . . .Local Coordinate SystemStresses and Strains . . .Section Properties . . . .Section Type . . . .Material Properties .Material Angle . . .viii.The Plane ElementOverview. . . . . . . . . . . . . .Joint Connectivity . . . . . . . . .Degrees of Freedom . . . . . . . .Local Coordinate System . . . . .Stresses and Strains . . . . . . . .Section Properties . . . . . . . . .Section Type . . . . . . . . .Material Properties . . . . . .Material Angle . . . . . . . .Thickness . . . . . . . . . . .Incompatible Bending Modes .Mass . . . . . . . . . . . . . . . .Self-Weight Load . . . . . . . . .Gravity Load . . . . . . . . . . . .Surface Pressure Load . . . . . . .Pore Pressure Load. . . . . . . . .Temperature Load . . . . . . . . .Stress Output . . . . . . . . . . . .Chapter 22223223225.226226227227228228228229229
Table of ContentsAxis of Symmetry . . . . . . .Arc and Thickness. . . . . . .Incompatible Bending Modes .Mass . . . . . . . . . . . . . . . .Self-Weight Load . . . . . . . . .Gravity Load . . . . . . . . . . . .Surface Pressure Load . . . . . . .Pore Pressure Load. . . . . . . . .Temperature Load . . . . . . . . .Rotate Load . . . . . . . . . . . .Stress Output . . . . . . . . . . . .Chapter XIII.The Solid ElementOverview. . . . . . . . . . . . . . . . . . . . . . . . . . . .Joint Connectivity . . . . . . . . . . . . . . . . . . . . . . .Degenerate Solids . . . . . . . . . . . . . . . . . . . . .Degrees of Freedom . . . . . . . . . . . . . . . . . . . . . .Local Coordinate System . . . . . . . . . . . . . . . . . . .Advanced Local Coordinate System . . . . . . . . . . . . . .Reference Vectors . . . . . . . . . . . . . . . . . . . . .Defining the Axis Reference Vector . . . . . . . . . . .Defining the Plane Reference Vector . . . . . . . . . . .Determining the Local Axes from the Reference VectorsElement Coordinate Angles . . . . . . . . . . . . . . . .Stresses and Strains . . . . . . . . . . . . . . . . . . . . . .Solid Properties . . . . . . . . . . . . . . . . . . . . . . . .Material Properties . . . . . . . . . . . . . . . . . . . .Material Angles . . . . . . . . . . . . . . . . . . . . . .Incompatible Bending Modes . . . . . . . . . . . . . . .Mass . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .Self-Weight Load . . . . . . . . . . . . . . . . . . . . . . .Gravity Load . . . . . . . . . . . . . . . . . . . . . . . . . .Surface Pressure Load . . . . . . . . . . . . . . . . . . . . .Pore Pressure Load. . . . . . . . . . . . . . . . . . . . . . .Temperature Load . . . . . . . . . . . . . . . . . . . . . . .Stress Output . . . . . . . . . . . . . . . . . . . . . . . . . .Chapter XIV.The Link/Support 248248249249249250250251Overview. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 252ix
CSI Analysis Reference ManualJoint Connectivity . . . . . . . . . . . . . . . . . . . . . . . .Conversion from One-Joint Objects to Two-Joint ElementsZero-Length Elements . . . . . . . . . . . . . . . . . . . . . .Degrees of Freedom . . . . . . . . . . . . . . . . . . . . . . .Local Coordinate System . . . . . . . . . . . . . . . . . . . .Longitudinal Axis 1 . . . . . . . . . . . . . . . . . . . . .Default Orientation . . . . . . . . . . . . . . . . . . . . .Coordinate Angle . . . . . . . . . . . . . . . . . . . . . .Advanced Local Coordinate System . . . . . . . . . . . . . . .Axis Reference Vector . . . . . . . . . . . . . . . . . . .Plane Reference Vector . . . . . . . . . . . . . . . . . . .Determining Transverse Axes 2 and 3 . . . . . . . . . . .Internal Deformations . . . . . . . . . . . . . . . . . . . . . .Link/Support Properties . . . . . . . . . . . . . . . . . . . . .Local Coordinate System . . . . . . . . . . . . . . . . . .Internal Spring Hinges . . . . . . . . . . . . . . . . . . .Spring Force-Deformation Relationships . . . . . . . . . .Element Internal Forces . . . . . . . . . . . . . . . . . . .Uncoupled Linear Force-Deformation Relationships . . . .Types of Linear/Nonlinear Properties. . . . . . . . . . . .Coupled Linear Property . . . . . . . . . . . . . . . . . . . . .Fixed Degrees of Freedom . . . . . . . . . . . . . . . . . . . .Mass . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .Self-Weight Load . . . . . . . . . . . . . . . . . . . . . . . .Gravity Load . . . . . . . . . . . . . . . . . . . . . . . . . . .Internal Force and Deformation Output . . . . . . . . . . . . .Chapter XV.The Link/Support Element—AdvancedOverview. . . . . . . . . . . . . . . . . . . . .Nonlinear Link/Support Properties . . . . . . .Linear Effective Stiffness . . . . . . . . . . . .Special Considerations for Modal AnalysesLinear Effective Damping . . . . . . . . . . . .Exponential Maxwell Damper Property . . . . .Bilinear Maxwell Damper Property . . . . . . .Friction-Spring Damper Property . . . . . . . .Gap Property . . . . . . . . . . . . . . . . . . .Hook Property . . . . . . . . . . . . . . . . . .Wen Plasticity Property . . . . . . . . . . . . .Multi-Linear Elastic Property . . . . . . . . . 279281282286286287289
Table of ContentsMulti-Linear Plastic Property . . . . . . . . . . . .Hysteretic (Rubber) Isolator Property . . . . . . . .Friction-Pendulum Isolator Property. . . . . . . . .Axial Behavior . . . . . . . . . . . . . . . . .Shear Behavior . . . . . . . . . . . . . . . . .Linear Behavior . . . . . . . . . . . . . . . . .Double-Acting Friction-Pendulum Isolator PropertyAxial Behavior . . . . . . . . . . . . . . . . .Shear Behavior . . . . . . . . . . . . . . . . .Linear Behavior . . . . . . . . . . . . . . . . .Triple-Pendulum Isolator Property. . . . . . . . . .Axial Behavior . . . . . . . . . . . . . . . . .Shear Behavior . . . . . . . . . . . . . . . . .Linear Behavior . . . . . . . . . . . . . . . . .Nonlinear Deformation Loads . . . . . . . . . . . .Frequency-Dependent Link/Support Properties . . .Chapter XVI.The Tendon ObjectOverview. . . . . . . . . . . . . . . . . . . . . .Geometry. . . . . . . . . . . . . . . . . . . . . .Discretization . . . . . . . . . . . . . . . . . . .Tendons Modeled as Loads or Elements. . . . . .Connectivity . . . . . . . . . . . . . . . . . . . .Degrees of Freedom . . . . . . . . . . . . . . . .Local Coordinate Systems . . . . . . . . . . . . .Base-line Local Coordinate System . . . . . .Natural Local Coordinate System . . . . . . .Section Properties . . . . . . . . . . . . . . . . .Material Properties . . . . . . . . . . . . . .Geometric Properties and Section Stiffnesses.Tension/Compression Limits . . . . . . . . . . .Mass . . . . . . . . . . . . . . . . . . . . . . . .Prestress Load . . . . . . . . . . . . . . . . . . .Self-Weight Load . . . . . . . . . . . . . . . . .Gravity Load . . . . . . . . . . . . . . . . . . . .Temperature Load . . . . . . . . . . . . . . . . .Strain Load . . . . . . . . . . . . . . . . . . . . .Deformation Load . . . . . . . . . . . . . . . . .Target-Force Load . . . . . . . . . . . . . . . . .Internal Force Output . . . . . . . . . . . . . . 7318318318319319320xi
CSI Analysis Reference ManualChapter XVII Load Patterns321Overview. . . . . . . . . . . . . . . . . . . . . . .Load Patterns, Load Cases, and Load CombinationsDefining Load Patterns . . . . . . . . . . . . . . .Coordinate Systems and Load Components . . . . .Effect upon Large-Displacements Analysis. . .Force Load . . . . . . . . . . . . . . . . . . . . . .Ground Displacement Load . . . . . . . . . . . . .Self-Weight Load . . . . . . . . . . . . . . . . . .Gravity Load . . . . . . . . . . . . . . . . . . . . .Concentrated Span Load . . . . . . . . . . . . . . .Distributed Span Load . . . . . . . . . . . . . . . .Tendon Prestress Load . . . . . . . . . . . . . . . .Uniform Load . . . . . . . . . . . . . . . . . . . .Surface Pressure Load . . . . . . . . . . . . . . . .Pore Pressure Load. . . . . . . . . . . . . . . . . .Temperature Load . . . . . . . . . . . . . . . . . .Strain Load . . . . . . . . . . . . . . . . . . . . . .Deformation Load . . . . . . . . . . . . . . . . . .Target-Force Load . . . . . . . . . . . . . . . . . .Rotate Load . . . . . . . . . . . . . . . . . . . . .Joint Patterns . . . . . . . . . . . . . . . . . . . . .Mass Source . . . . . . . . . . . . . . . . . . . . .Mass from Specified Load Patterns . . . . . . .Negative Mass. . . . . . . . . . . . . . . . . .Multiple Mass Sources . . . . . . . . . . . . .Automated Lateral Loads . . . . . . . . . . . .Acceleration Loads. . . . . . . . . . . . . . . . . .Chapter XVIII Load CasesOverview. . . . . . . . . . . . .Load Cases . . . . . . . . . . . .Types of Analysis . . . . . . . .Sequence of Analysis . . . . . .Running Load Cases . . . . . . .Linear and Nonlinear Load CasesLinear Static Analysis . . . . . .Multi-Step Static Analysis . . . 4345346347348
Table of ContentsLinear Buckling Analysis . . . . . . . . . . . . . . .Functions. . . . . . . . . . . . . . . . . . . . . . . .Load Combinations (Combos) . . . . . . . . . . . . .Contributing Cases . . . . . . . . . . . . . . . .Types of Combos . . . . . .
CSI Anal y sis Reference Manual For SAP2000 , ETABS , SAFE and CSiBridge ISO# G
When you receive the inverter, ensure that all the parts listed below are included: Table 1.1 Parts list 4.4. CSI SERIES GRID-TIED PV Inverter CSI-7KTL1P-GI-FL & CSI-8KTL1P-GI-FL CSI-9KTL1P-GI-FL & CSI-10KTL1P-GI-FL INSTALLATION AND OPERATION MANUAL VERSION 1.2 Part # 1 Description PV grid tie inv ert 2 Wall/pole bracket 3 Lo cking s rews 4 5 .
9 CSI Domain 1 – Food and Nutrition 13 CSI Domain 2 – Shelter and Care 17 CSI Domain 3 – Protection 21 CSI Domain 4 – Health 25 CSI Domain 5 – Psychosocial 29 CSI Domain 6 – Education and Skills Training 33 Important Events – CSI
Jan 01, 2014 · Figure 1.1 Front side view .3. Canadian Solar single phase inverters integrate DRM and backflow power control function, that could suitable for smart grid requirement. Single phase series inverter contain 4 models which are listed below: CSI-7KTL1P-GI-FL, CSI-8KTL1P-GI-FL, CSI-9KTL1P-GI-FL, CSI-10KTL1P-GI-FL
RX CSI - 2 RX D - PHY CSI - 2 TX TX Periodic FWD clock Data 0 Camera Control Interface ( CCI ) over I 2 C / I 3 C / SPI Image Sensor Module Application Processor GPIOs D - PHY TRX CSI - 2 USL D - PHY CSI - 2 TRX USL Image Sensor Module Application Processor C - PHY RX CSI - 2 RX C - PHY CSI - 2 TX TX EMB _ CD _ TRIO _ 0
Education Steven Olitsky, CSI, CCS (949) 235-9566 Golf Tournament Nancy Goodson, CSI, CDT (714) 788-2769 Long Range Planning Mark H. Niese, CSI, CDT (949) 450-8420 Membership Dana Thornburg, CSI (800) 600-6634 Newsletter Gary M. Kehrier, CSI, CDT (949) 589-0997 Product Show Bryan Stanley, CSI
CSI INTERFACE CSI_CLKP 5 I, DPHY CSI-2 clock input pins. Connect to a CSI-2 clock source with matched 100-Ω ( 5%) impedance interconnects. CSI_CLKN 6 I, DPHY CSI_D0P 3 I, DPHY CSI-2 data input pins. Connect to a CSI-2 data sources with matched 100-Ω ( 5%) impedance interconnects. If unused, these pins may be left floating. CSI_D0N 4 I, DPHY
C. CSI-Additional Targeted Support Not Exiting Such Status (CSI-AT) For the 2018-19 identification year , only CSI-LP and CSI-LG schools are identified. CSI-AT schools will first be identified in the 2021-22 school year. A. CSI - Lowest Performing Schools . i.
Certification David A. Karina, CSI, RCI, ACIA (714) 960-7785 Education David A. Karina, CSI, RCI, ACIA (714) 960-7785 Golf Tournament John Corsaro, CSI (951) 204-7858 Long Range Planning Gary M. Kehrier, CSI, CDT (949) 589-0997 Membership Joseph Esquer, CSI (714) 299-1747 Newsletter Annette Wren, FCSI, CDT (562) 592-3187 Product Show Bryan .
