CSI Analysis Reference Manual

1 CSI Analysis Reference Manual CSI Anal y sis Reference ManualFor SAP2000 , ETABS , SAFE and CSiBridge ISO# GEN062708M1 ley, Cal i for nia, USAJuly 2016 COPYRIGHTCopy right Com put ers & Struc tures, Inc., 1978-2016 All rights re CSI Logo , SAP2000 , ETABS , SAFE , CSiBridge , and SAPFire arereg is tered trade marks of Com put ers & Struc tures, Inc. Model-AliveTM and Watch& LearnTM are trade marks of Com put ers & Struc tures, Inc. Win dows is a reg is -tered trade mark of the Microsoft Cor po ra tion.

2 Adobe and Ac ro bat are reg is -tered trade marks of Adobe Sys tems In cor po com puter pro grams SAP2000 , ETABS , SAFE , and CSiBridge and allas so ci ated doc u men ta tion are pro pri etary and copy righted prod ucts. World widerights of own er ship rest with Com put ers & Struc tures, Inc. Unlicensed use of thesepro grams or re pro duc tion of doc u men ta tion in any form, with out prior writ ten au -tho ri za tion from Com put ers & Struc tures, Inc., is ex plic itly pro hib ited. No part ofthis pub li ca tion may be re pro duced or dis trib uted in any form or by any means, orstored in a da ta base or re trieval sys tem, with out the prior ex plicit writ ten per mis -sion of the pub ther in for ma tion and cop ies of this doc u men ta tion may be ob tained from.

3 Com put ers & Struc tures, (for gen eral in for ma tion)sup (for tech ni cal sup port)DISCLAIMER CON SID ER ABLE TIME, EF FORT AND EX PENSE HAVE GONEINTO THE DE VEL OP MENT AND TEST ING OF THIS SOFT EVER, THE USER AC CEPTS AND UN DER STANDS THATNO 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 THERE LI ABIL ITY OF THE PRO GRAMS THESE PRODUCTS. THESE PROD UCTS ARE PRAC TI CAL AND POW ER FUL TOOLSFOR STRUC TURAL DE SIGN. HOWEVER, THE USER MUST EX -PLIC ITLY UN DER STAND THE BA SIC AS SUMP TIONS OF THESOFT WARE MOD EL ING, ANAL Y SIS, AND DE SIGN AL GO -RITHMS AND COM PEN SATE FOR THE AS PECTS THAT ARENOT IN FOR MA TION PRO DUCED BY THE SOFT WARE MUST BECHECKED BY A QUAL I FIED AND EX PE RI ENCED EN GI EN GI NEER MUST IN DE PEND ENTLY VER IFY THE RE -SULTS AND TAKE PROFESSIONAL RE SPON SI BIL ITY FOR THEIN FOR MA TION THAT IS Thanks are due to all of the nu mer ous struc tural en gi neers.

4 Who over theyears 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 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 andwhose con tin ued origi nal ity has pro duced many unique con cepts thathave been im ple mented in this ver sion. Ta ble of Con tentsChap ter IIn tro duc tion1 Anal y sis Fea tural Anal y sis and De This Man po graph i cal Con ven for Def i ni for Vari able ics for Math e mat i cal Vari ics for Em pha i tal ized lio graphic Ref er ter IIOb jects and El e ments7Ob jects and El e ter IIICo or di nate Sys tems11 Over Co or di nate Sys ward and Hor i zon tal Di rec fin ing Co or di nate Sys tor Cross Prod fin ing the Three Axes Us ing Two Vec iLo cal Co or di nate Sys ter nate Co or di nate Sys lin

5 Dri cal and Spher i cal Co or di ter IVJoints and De grees of Free dom21 Over el ing Con sid er cal Co or di nate Sys vanced Lo cal Co or di nate Sys er ence Vec fin ing the Axis Ref er ence Vec fin ing the Plane Ref er ence Vec ter min ing the Lo cal Axes from the Ref er ence Vec Co or di nate An grees of Free able and Un avail able De grees of Free strained De grees of Free strained De grees of Free ing Re straints and Con straints Not Rec om tive De grees of Free De grees of Free straint Sup Sup lin ear Sup trib uted Sup Re ac Re ac Dis place ment straint Dis place Dis place port Dis place er al ized Dis place gree of Free dom Out sem bled Joint Mass Out place ment Out Out e ment Joint Force Out CSI Analysis Reference ManualChap ter VCon straints and Welds49 Over Con Con nec tiv cal Co or di nate Sys straint Equa Def i ni a phragm Con Con nec tiv cal Co or di nate Sys straint Equa Con Con nec tiv cal Co or di nate Sys straint Equa Def i ni Con Con nec tiv

6 Cal Co or di nate Sys straint Equa Con Con nec tiv cal Co or di nate Sys straint Equa Con Con nec tiv cal Co or di nate Sys lected De grees of Free straint Equa cal Con Con nec tiv Lo cal Co or di nate Sys lected De grees of Free straint Equa to matic Mas ter ness, Mass, and cal Co or di nate Sys straint Out iiiTable of ContentsChap ter VIMa te rial Prop er ties69 Over cal Co or di nate Sys and tro pic Ma te ri ax ial Ma te ri Ma te ri Ma te ri per a ture-De pend ent Prop er e ment Ma te rial Tem per a Den Den te rial Damp Damp cous Pro por tional Damp Pro por tional Damp lin ear Ma te rial Be hav sion and Com pres ter pli ca tion and Dilitational An ter esis Mod bone Curve (Ac tion vs.)

7 De for ma tion)..86Cy clic Be hav tic Hys ter esis ne matic Hys ter esis grad ing Hys ter esis Hys ter esis Hys ter esis crete Hys ter esis Hard en ing Hys ter esis tro pic Hys ter esis i fied Dar win-Pecknold Con crete pend ent Prop er er te gra tion Con CSI Analysis Reference ManualChap ter VIIThe Frame El e ment105 Over Con nec tiv ser tion grees of Free cal Co or di nate Sys gi tu di nal Axis fault Ori en ta or di nate An vanced Lo cal Co or di nate Sys er ence Vec ter min ing Trans verse

8 Axes 2 and tion Prop er cal Co or di nate Sys te rial Prop er met ric Prop er ties and Sec tion to matic Sec tion Prop erty Cal cu la tion Prop erty Da ta base tion-De signer Sec di tional Mass and matic Sec erty Mod i fi Prop erty ser tion cal Off Fac fect upon Non-pris matic El e fect upon In ter nal Force Out fect upon End Re Re sta ble End Re fect of End Off Prop erty lin ear Prop er sion/Com pres sion Lim tic vTable of ContentsGrav ity cen trated Span trib uted Span In ten jected per a ture for ma tion get-Force ter nal Force Out fect of End Off Out ter VIIIH inge Prop er ties147 Over Prop er tic De for ma tion ing the of P-M2-M3 tro pic P-M2-M3 met ric P-M2-M3 ber P-M2-M3 ter esis Mod to matic, User-De fined, and Gen er ated Prop er to matic Hinge Prop er y sis Mod el pu ta tional Con sid er y sis Re ter IXThe Ca ble El e ment165 Over Con nec tiv Cal cu la ble vs.

9 Frame El e ber of Seg grees of Free CSI Analysis Reference ManualLo cal Co or di nate Sys tion Prop er te rial Prop er met ric Prop er ties and Sec tion ity trib uted Span per a ture and De for ma tion get-Force lin ear Anal y e ment Out ter XThe Shell El e ment177 Over mo ge Con nec tiv Guide Con grees of Free cal Co or di nate Sys mal Axis fault Ori en ta e ment Co or di nate An vanced Lo cal Co or di nate Sys er ence Vec ter min ing Tan gen tial Axes 1 and tion Prop er Sec tion Sec tion mo ge neous Sec tion Prop er ered Sec tion Prop erty Mod i fi Prop erty Off sets and Thick ness Off fect of Joint Off sets on the Lo cal ness viiTable of ity form face Pres sure per a ture ter nal Force and Stress Out ter XIThe Plane El e ment215 Over Con nec tiv grees of Free cal Co or di nate Sys and tion Prop er tion te rial Prop er te rial An com pat i ble Bend ing ity face Pres sure Pres sure per a ture Out ter XIIThe Asolid El e

10 Ment225 Over Con nec tiv grees of Free cal Co or di nate Sys and tion Prop er tion te rial Prop er te rial An CSI Analysis Reference ManualAxis of Sym me