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CSI Analysis Reference ManualFor SAP2000®, ETABS®, and SAFE®ISO# GEN062708M1 Rev.1 Berkeley,

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Per mis sion to mod - ify the code and to dis trib ute mod i fied code is granted, pro vided the Copy right, this Li cense, and the Avail abil ity note are re tained, and a no tice that [r]

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CSI Anal y sis Reference Manual

ISO# GEN062708M1 Rev.1

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The com puter pro grams SAP2000, ETABS, and SAFE and all as so ci ated doc u men ta tion are pro pri etary and copy righted prod ucts World -wide rights of own er ship rest with Com put ers and Struc tures, Inc Unlicensed use of the pro gram or re pro duc tion of the doc u men ta tion in any form, with out prior writ ten au tho ri za tion from Com put ers and Struc -tures, Inc., is ex plic itly pro hib ited

No part of this pub li ca tion may be re pro duced or dis trib uted in any form or by any means, or stored in a da ta base or re trieval sys tem, with out the prior ex plicit writ ten per mis sion of the pub lisher

Fur ther in for ma tion and cop ies of this docu men ta tion may be ob tained from:

Com put ers and Struc tures, Inc

1995 Uni ver sity Av e nue Berke ley, Cal i for nia 94704 USA tel: (510) 649-2200 fax: (510) 649-2299

e-mail: info@csiberkeley.com web: www.csiberkeley.com

© Copy right Com put ers and Struc tures, Inc., 1978–2009.

The CSI Logo is a reg is tered trade mark of Com put ers and Struc tures, Inc.

SAP2000 is a reg is tered trade mark of Com put ers and Struc tures, Inc.

ETABS is a reg is tered trade mark of Com put ers and Struc tures, Inc.

SAFE is a reg is tered trade mark of Com put ers and Struc tures, Inc.

SAPfire is a reg is tered trade mark of Com put ers and Struc tures, Inc.

Model-Alive is a trade mark of Com put ers and Struc tures, Inc.

Win dows is a reg is tered trade mark of Microsoft Cor po ra tion.

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DISCLAIMER

CON SID ER ABLE TIME, EF FORT AND EX PENSE HAVE GONE INTO THE DE VEL OP MENT AND TEST ING OF THIS SOFT WARE HOW EVER, THE USER AC CEPTS AND UN DER STANDS THAT

NO WAR RANTY IS EX PRESSED OR IM PLIED BY THE DE VEL

-OP ERS OR THE DIS TRIBU TORS ON THE AC CU RACY OR THE

RE LI ABIL ITY OF THE PRO GRAMS THESE PRODUCTS

THESE PROD UCTS ARE PRAC TI CAL AND POW ER FUL TOOLS FOR STRUC TURAL DE SIGN HOWEVER, THE USER MUST EX -PLIC ITLY UN DER STAND THE BA SIC AS SUMP TIONS OF THE SOFT WARE MOD EL ING, ANAL Y SIS, AND DE SIGN AL GO -RITHMS AND COM PEN SATE FOR THE AS PECTS THAT ARE NOT ADDRESSED

THE IN FOR MA TION PRO DUCED BY THE SOFT WARE MUST BE CHECKED BY A QUAL I FIED AND EX PE RI ENCED EN GI NEER THE EN GI NEER MUST IN DE PEND ENTLY VER IFY THE RE -SULTS AND TAKE PROFESSIONAL RE SPON SI BIL ITY FOR THE

IN FOR MA TION THAT IS USED

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ACKNOWLEDGMENT

Thanks are due to all of the nu mer ous struc tural en gi neers, who over the years have given valu able feed back that has con trib uted to ward the en -hance ment of this prod uct to its cur rent state

Spe cial rec og ni tion is due Dr Ed ward L Wil son, Pro fes sor Emeri tus, Uni ver sity of Cali for nia at Ber keley, who was re spon si ble for the con -cep tion and de vel op ment of the origi nal SAP se ries of pro grams and whose con tin ued origi nal ity has pro duced many unique con cepts that have been im ple mented in this ver sion

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Ta ble of Con tents

Anal y sis Fea tures 2

Struc tural Anal y sis and De sign 3

About This Man ual 3

Top ics 3

Ty po graph i cal Con ven tions 4

Bold for Def i ni tions 4

Bold for Vari able Data 4

Ital ics for Math e mat i cal Vari ables 4

Ital ics for Em pha sis 5

Cap i tal ized Names 5

Bib lio graphic Ref er ences 5

Chap ter II Ob jects and El e ments 7 Ob jects 7

Ob jects and El e ments 8

Groups 9

Chap ter III Co or di nate Sys tems 11 Over view 12

Global Co or di nate Sys tem 12

Up ward and Hor i zon tal Di rec tions 13

De fin ing Co or di nate Sys tems 13

Vec tor Cross Prod uct 13

De fin ing the Three Axes Us ing Two Vec tors 14

i

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Copy right No tice for TAUCS:

TAUCS Ver sion 2.0, No vem ber 29, 2001 Copy right ©) 2001, 2002, 2003 by Sivan To ledo, Tel-Aviv Univesity, stoledo@tau.ac.il All Rights Re served TAUCS Li cense:

Your use or dis tri bu tion of TAUCS or any de riv a tive code im plies that you agree to this Li cense

THIS MA TE RIAL IS PRO VIDED AS IS, WITH AB SO LUTELY NO WAR -RANTY EX PRESSED OR IM PLIED ANY USE IS AT YOUR OWN RISK Per mis sion is hereby granted to use or copy this pro gram, pro vided that the Copy right, this Li cense, and the Avail abil ity of the orig i nal ver sion is re tained

on all cop ies User doc u men ta tion of any code that uses this code or any de riv a -tive code must cite the Copy right, this Li cense, the Avail abil ity note, and

“Used by per mis sion.” If this code or any de riv a tive code is ac ces si ble from within MATLAB, then typ ing “help taucs” must cite the Copy right, and “type taucs” must also cite this Li cense and the Avail abil ity note Per mis sion to mod -ify the code and to dis trib ute mod i fied code is granted, pro vided the Copy right, this Li cense, and the Avail abil ity note are re tained, and a no tice that the code was mod i fied is in cluded This soft ware is pro vided to you free of charge Avail abil ity:

As of ver sion 2.1, we dis trib ute the code in 4 for mats: zip and tarred-gzipped (tgz), with or with out bi na ries for ex ter nal li brar ies The bun dled ex ter nal li -brar ies should al low you to build the test pro grams on Linux, Win dows, and MacOS X with out in stall ing ad di tional soft ware We rec om mend that you down load the full dis tri bu tions, and then per haps re place the bun dled li brar ies

by higher per for mance ones (e.g., with a BLAS li brary that is spe cif i cally op ti -mized for your ma chine) If you want to con serve band width and you want to

in stall the re quired li brar ies your self, down load the lean dis tri bu tions The zip and tgz files are iden ti cal, ex cept that on Linux, Unix, and MacOS, un pack ing the tgz file en sures that the con fig ure script is marked as ex e cut able (un pack with tar zxvpf), oth er wise you will have to change its per mis sions man u ally Used by per mis sion

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Chapter XXVII References

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CSI Analysis Reference Manual

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