AC1 34OR-97 AC1 ? DESIGN HANDBOOK of Design Structural Reinforced Concrete Elements in Accordance with the Strength Design Method of AC1 318-95 international PUBLICATIONSP -17(97) --`,``,,,,``,,`,,`,,`,,````,`-`-`,,`,,`,`,,`--- Copyright American Concrete Institute Provided by IHS under license with ACI Licensee=Bechtel Corp/9999056100 No reproduction or networking permitted without license from IHS Not for Resale, 05/04/2005 04:29:24 MDT THIS DOCUMENT IS PROTECTED BY THE LAWS OF COPYRIGHT If additional copies are needed, in whole or in part, contact the Member Services Department of the American Concrete Institute: P.O. Box 9094 Farmington Hills, Michigan 48333-9094 TEL: 248-848-3800 FAX: 248-848-3801 SIXTH EDITION Copyright 1997 American Concrete Institute P.O. Box 9094 Farmington Hilis, MI 48333-9094 Third Printing, July 2001 All rights reserved including rights of reproduction and use in any form or by any means, including the making of copies by any photo process, or by any electronic or mechanical device, printed or written or oral, or recording for sound or visual reproduction or for use in any knowledge or retrieval system or device, unless permission in writing is obtained from the copyright proprietors. Printed in the United States of America The Institute is not responsible for the statements or opinions expressed in its publicaîiwis. Institute publications are not able to, nor intended to, supplant individual training, responsibilityo r judgement of the user, or the supplier, of the informa- tion presented. --`,``,,,,``,,`,,`,,`,,````,`-`-`,,`,,`,`,,`--- international ISBN 0-087031-045-3 Copyright American Concrete Institute Provided by IHS under license with ACI Licensee=Bechtel Corp/9999056100 No reproduction or networking permitted without license from IHS Not for Resale, 05/04/2005 04:29:24 MDT AC1 340R-97 AC1 Design Handbook Design of Structural Reinforced Concrete Elements in Accordance with the Strength Design Method of AC1 318-95 Reported by AC1 Committee 340 Mohsen A. Issa. Chairman Husam A. Omar, Secretary Param D. Bhat Richard Furlong' Edward G. Nawy William W. Bintzer Moussa A. Issa William E. Rushing, Jr The OPANCaom1ter iDPlc Jek.. s DJEig.i xvnCie tH rreaaenrdgd baono k is intended foJ'SDCra .oou mAnusselgeui llsbtMai nysSi g ri. Onr MLad. eia vLmiied bueea r ls having a generaMSCl uhfuadarmahrlitael iaksSra iGatry a.P wtSc.i aiVtohlmeg thlmuoe n as trength --`,``,,,,``,,`,,`,,`,,````,`-`-`,,`,,`,`,,`--- design method and with "Building Code Requirements for Reinforced Concrete (AC1 31&95)." This publication provides information for the engineering design and analysis of beams, one-way slabs, brackets, footings, pile caps, columns. two-way slabs, and seismic design. Informationi s presented on three sections: Design Aids. Design Examples, and Commentary on Design Aids. The Design Examples illustrate the use of the Design Aids, which are tables and graphs intended to eliminate routine and repetitious calculations. The Commentary explains the analytical basis for the Design Aids. Keywords: anchorage (stnidural); axial loads; bars; beams (supports); bending; bending moments; biaxial loads; brackets; buckling; columns (supports); concrete construction; concrete piles; concrete slabs; connections: cracking (fracturing); deflection; flanges; flexural strength; footings; frames; load factors; loads (forces); long columns; moments of inertia; pile caps; reinforced concrete; reinforcing steels; shear strength; clendemess ratio; spiral columns; splicing; stiffness; strength analysis; structural analysis; structural design; T-beams; tension; torsion. AC1 Committee Repons. Guides. Standard Practices, and Commentariesa re intended for guidance in planning, designing. executing and inspecting consmiction. This document is intended for the use of individuals who are competent to evaluate the significance and limitations of in content and recommendations and who will accept responsibility for the application of the material it contains. The Amaican Concrete Instimte disclaims any and all responsibility for the stated piinciples. The InStiNte shall not be liable for any loss or damage arising therefrom. Reference to this document shall not be made in conuact documents. If items found in this document axe desired by the ArchitectlEngineer to be a part of the conmt documents. they shall be restated in mandatory language for incorporation by the Architecfigineer. I I AMERICAN CONCRETE INSTITUTE P.O. Box 9094 Fannington Hills. MI 48331-9094 internationaì- Phone: 2481848-3700 Fax: 2481848-3701 Copyright American Concrete Institute Provided by IHS under license with ACI Licensee=Bechtel Corp/9999056100 No reproduction or networking permitted without license from IHS Not for Resale, 05/04/2005 04:29:24 MDT TABLE OF CONTENTS AC1 3 18-95 Strength Reduction Factors .......................................... Xiv FOREWORD ............................................................... xv NOTATION ............................................................... xvii DESIGN AIDS FLEXURE 1Reinforcement ratios and a,,f or quick approximate design of rectangular beams with no compression reinforcement .......................... 5 FLEXURE 2-Nominal strength coefficients for design of rectangular beams with tension reinforc.em ent only FLEXURE 2.14' 3000 psi ............................................. 6 . FLEXURE 2.2-f,' .40 00 psi ............................................. 7 FLEXURE 2.34' .50 00 psi ............................................- 8 FLEXURE 2-44' 6000 psi ............................................ -9 FLEXURE 3-Nominal strength coefficients for rectangular beams with compression reinforcement in wh.ichf , =fy and for flanged sections with hl< a ' FLEXURE 3.14' .30 00 psi & 4000 psi ................................... 10 FLEXURE 3.24. 5000 psi & 6000 psi .................................. -11 &< FLEXURE 3.3-Coefficient I& for use in computing A, for flange Section with a 12 FLEXURE 4-Nominal strength Md for compression reinforcement in whichf, . =fy ....... 13 FLEXURE Moefficient F for use in calculating nominal strengths M, MnIa.nd M, .....- 14 FLEXURE &Nominal stren.gth M, for slab. sec tions 12 . wide --`,``,,,,``,,`,,`,,`,,````,`-`-`,,`,,`,`,,`--- FFFFFFFLLLLLLLEEEEEEEXXXXXXXUUUUUUURERRRRRR6EEEEEE. 3666666......114.221...321.1.-21---.ffff--,2,,'4'', 44''' =' 4......033433400000000 000000p000000s ipppppp,ssssssiiiiii ...... fffffffyyyyyyy =......44464660000000 ....... OOOOOOO 000000O000000 O pppppppssssssiiiiisi i(((((((ggtttggaaarrrrbbbaaaapllplppeeehhhh))))) ) ) ......................................................................................................................................................... . ... . ... ---11212115067891 FLEXURE 6.4.2-4' 4000 psi. fy 60. O00 psi (table) ........................ 22 FLEXURE6.5.1-f,'=5.000 psi, fy=.40 .O OOpsi(graph) ...................... -23 FLEXURE 6.5.2--' .50 00 psi. fy .40 .O 00 psi (table) .......................- 24 FLEXURE 6.6.1--' .50 00 psi. fy .60 . O00 psi (graph) ...................... -25 FLEXURE 6.6.2-A' .50 00 psi. fy .60 . O00 psi (table) ....................... -26 FLEXURE 6.7.1-f,' .60 00 psi. fy .40 . O00 psi (graph) ...................... -27 FLEXURE 6.7.2--' .60 00 psi. fy .40 . O00 psi (table) ........................ 28 FLEXURE 6.8.1-f,' .60 00 psi. fy .60 . O00 psi (graph) ....................... 29 FLEXURE 6.8.2-L' 6000 psi. fy 60. O00 psi (table) ........................ 30 REINFORCEMENT I-Nominal cross section area, weight, and nominal diameter of ASTM standard reinforcing bars ................................ -33 REINFORCEMENT 2-00, s section areas for vanous combination of bars .............. 34 REINFORCEMENT 3-Properties of bundled bars .................................. 36 REINFORCEMENT 4-Sectional propehes and areas of plain and deformed welded iii Copyright American Concrete Institute Provided by IHS under license with ACI Licensee=Bechtel Corp/9999056100 No reproduction or networking permitted without license from IHS Not for Resale, 05/04/2005 04:29:24 MDT wirereinforcement ......................................................3 7 REINFORCEMENT 5-Spec~cations and properties of wire and welded reinforcement REINFORCEMENT 5.1-Specifications covering welded wire reinforcement ...... -38 REINFORCEMENT 5.2-Minimum requirements of steel wires in welded wire reinforcement .......................................................... 38 REINFORCEMENT 6-Common styles of welded wire reinforcement .................- 39 REINFORCEMENT 7-Typical development and splice length for welded wire reinforcement REINFORCEMENT 7.1.1-Plain wire reinforcement; fy = 60, O00 psi f,‘ = 3000 psi . . 40 REINFORCEMENT 7.1.2-Plain wire reinforcement; fy = 60, O00 psi f,. = 4000 psi . . 4 1 REINFORCEMENT 7.2.1-Deformed wire reinforcement; fy = 60, O00 psi, f,. = 3000 psi ............................................. -42 REINFORCEMENT 7.2.2-Deformed wire reinforcement, . fy = 60,O 00 psi, f, = 4000 psi ............................................. -43 REINFORCEMENT P r a c kc ontrol in beams and slabs REINFORCEMENT 8.1-Maximum A values per bar ......................... -44 REINFORCEMENT 8.2-Beam web size and reinforcement required ............ -45 REINFORCEMENT %Minimm beam web widths required for two or more bars in one layer for cast-in-place nonprestressed concrete ....................... 46 REINFORCEMENT IO-Minimum beam web widths for various bar combinations (interior exposure) ..................................................... -47 REINFORCEMENT 11Maximumw eb width b, per bar for single bars used as flexural tension reinforcement in beam webs and slabs, as required for crack controlprovision s ............................................................. 48 REINFORCEMENT 12-Minimum beam web widths b, for various bar combinations of bundled bars (iterior exposure) .......................................... -49 REINFORCEMENT 13-Maximum web width b, per bundle, as required for crack control provisions for bars of one s kin one layer .................................. -50 REINFORCEMENT 1ABars election table for beams .............................. -51 REINFORCEMENT 15-Areas of bars in a section 1 ft. wide ......................... -56 REINFORCEMENT 16-Maximum bar spacing for single bars in one row for one-way slabs ............................................. -57 REINFORCEMENT 17-Basic development length ratios of bars in tension ..............5 8 REINFORCEMENT 18.1-Basic development length , Z of standard hooks in tension ..... -60 REINFORCEMENT 18.2-MinimUm embedment lengths to provide 2 in . cover to tail of standard 18O-degree end hook ................................. 61 REINFORCEMENT 19-Maximum size of positive reinforcement bars satis- P, =(MflJ + Pa, IEq. (12.2) of AC1 318-951 for various span lengths .............. -62 REINFORCEMENT 19.1-6 = 40, O00 psi .................................. -62 RENFORCEMENT 19.2-f, = 60,O 00 psi .................................. -63 REINFORCEMENT 20-Maximum allowable pitch s, in, REINFORCEMENT 20.1-For circular viral columns ......................... -64 RENFORCEMENT 20.2-For square coiumns. ...............................6 5 RENFORCEMENT 20.3-Recommended minimum number of spacers wiîh various spirai sizes x.2 column sizes ....................................... -66 REINFORCEMEN” 21-”4inimum face dimension b, in., of rectangular tied columns accommodating various numbers of bars n per face ........................... -67 --`,``,,,,``,,`,,`,,`,,````,`-`-`,,`,,`,`,,`--- iv Copyright American Concrete Institute Provided by IHS under license with ACI Licensee=Bechtel Corp/9999056100 No reproduction or networking permitted without license from IHS Not for Resale, 05/04/2005 04:29:24 MDT REINFORCEMENT 22-Maximum number of bars n,, that can be accommodated in square columns having bars equally distributed on four faces REINFORCEMENT 22.1.1-22.1.4-Using bearing splices ................... 68-71 REINFORCEMENT 22.2.1 -22.2.4-Using normal lap splices ................. 72-75 REINFORCEMENT 22.3.1 -22.3.4-Using tangential lap splices .............. 76-79 REINFORCEMENT 23A“aximum number of bars n,, that can be accommodated in columns having bars arranged in a circle REINFORCEMENT 23 .1 .1.23.1 .&Using bearing splices ................... 80-83 REINFORCEMENT 23.2.1-23.2.4-Using normal lap splices ................. 84-87 RENORCEMENT 23.3.1-23.3.4-Using tangential lap splices .............. 88-91 SHEAR l-stirrup design requirements for nonprestressed beams with vertical Stirnips and normal-weight concrete subjected to flexure and shear only ..................... -94 SHEAR 2-Diagram for selecting spacing of stinups ................................. 95 SHEAR 3-Mi.nimum beam height to provide embedment required for #6, #7, and #8 vertical ’ stirrups wi&fy = 60, O00 psi ............................................... 96 SHEAR &Design shear strength V, for U-stirmps SHEAR 4.1-f, = 40 ksi .................................................. 97 SHEAR4.2-f, =60ksi. ................................................. 98 SHEAR %Effective depth of footings and slabs required to provide perimeter shear strength SHEAR 5.1-Interior rectangular column (q = 40) for which ß, = wb s 2 ..........9 9 SHEAR 5.2-hterior circular column (as= 40) .............................. 100 SHEAR &Maximum nominal torsional moment T, that may be neglected (AC13 18-95 Section 11 .6.1) and maximum nominal torsional moment T, required for statically indeterminate torsion (AC1 3 18-95 Section 11 -62) .................... 101 SHEAR 7.1-Values of win.) And & (kips) SHEAR 7.1.1--’ = 3, O00 psi ............................................ 102 SHEAR 7.124’= 4, o00 psi ............................................ 102 SHEAR 7.1.3-f,‘ = 5,O 00 psi ............................................ 103 SHEAR 7.1.44’ = 6, O00 psi ............................................ 103 SHEAR 7.2-Val~e~o f K, (fi-k) SHEAR 72.1-f,’ = 3,0 00 psi ............................................ 104 SHEAR 7.2.2-f,’ = 4, 000 psi ............................................ 104 SHEAR 7.2.3-3’ = 5,O 00 psi ............................................. 105 SHEAR 7.2.4-f,’ = 6, O00 psi ............................................ 105 SHEAR 7.3-values of K, (fi-kh.) SHEAR 7.3.1-fp: = 40, O00 psi ........................................... 106 SHEAR 7.3.2-3, = 60, O00 psi ........................................... 106 SHEAR 7.4-Values of KI( fi-k) SHEAR 7.4.1--’ = 3,O 00 psi ............................................ 107 SHEAR 7.4.24’ = 4, O00 psi ............................................ 107 SHEAR 7.4.34’ = 5,O 00 psi ............................................1 08 SHEAR7.4.4-i’=6,OOOpsi ............................................ 108 DEFLECTION l-lrackuig moment M, DEFLECTION 1.1-For rectangular sections ................................ 110 DEFLECTION 1.2-For T or L sections with tension at the bottom --`,``,,,,``,,`,,`,,`,,````,`-`-`,,`,,`,`,,`--- V Copyright American Concrete Institute Provided by IHS under license with ACI Licensee=Bechtel Corp/9999056100 No reproduction or networking permitted without license from IHS Not for Resale, 05/04/2005 04:29:24 MDT (positive moment) ..................................................... 11 1 DEFLECTION 1.3-For T or L sections with tension at the top (negative moment) DEFLECTION ~ 3 . 1 -=ß 0~.1 ,0.15, and 0.2 ............................. 112 DEFLECTION 1.3.2-ßh=0.25, 0.30, and0.40 ........................... 113 DEFLECTION 2-Cracked section moment of inertia I, for rectangular sections with tension reinforcement only .......................................... 114 DEFLECTION 3-0s moment of inertia for Ig of T-section ........................ 115 DEFLECTION 4-Cracked section moment of inertia I, for rectangular sections with compression steel, or T-sections (values of Ki2) DEFLECTION 4.1-For ß , from 0.1 through 0.9 ............................. 116 DEFLECTION 4.2-For h m 1 .0 through 5.0 ............................. 117 ßc DEFECTION %Effective moment of inertia I, DEFLECTION 5.1-(value~o f k;) ........................................ 118 DEFLECTION 5.2-For rectangular sections with tension reinforcement only (values of KJ ......................................................... 119 DEFLECTION 6.1-Coefficient & and typical M, formdas for calculating immediate deflection of flexural members .................................. 120 DEFLECTION 6.2-Coefficient & for calculating immediate deflection offledmembers ................................................... -121 DEFLECTION 7-Values of lu, and òcf or use in a, = (Kdô , )(w/b) (immediate deflection by the approximate method) ........................... 122 --`,``,,,,``,,`,,`,,`,,````,`-`-`,,`,,`,`,,`--- DDCOEEFFLLLUEEMndCCueNTTgeIIS ltOOeo c1NN t-seS ud98lse --fCtMnaoàrirnoee eedcmpdou el lulusossma a ndndsrso a fsbt .rhieao.rlsiac.n es.kktd.iau c.gairg.te yaa. di n.Ened.,s f .tlfke o i¿sc r.iJt di.vhoe.ab ns.rew i.(loa.oau.dyws.d . .ciw.t.oi..hon..incc..arh..el. .tele..of. .fns.e.tg.c.r-.t.tesi..nm .o.g.fe.h . .ssd..l. .ee...fn..l.de...ec...rt..i.n.o..e.n.s..).s.. .m......a..y.... b. e. . 111222346 COLUMNS 2-Effective length fáctor k for columns in braced and nonbraced frames ...... 127 COLUMNS 3F'actored K, and K, for cornpuhg flexural stiffness term (*EI) COLUMNS 3.1-For rectangular tied columns with steel on four faces .......... -128 COLUMNS 3.2-For rectangular tied columns with steel on two end faces ....... -129 COLUMNS 3 .>For circular spiral columns ................................ 130 COLUMNS 3.4-For square spirai columns ................................. 131 COLUMNS 4-Values of E(EJJ2.51 x lo-' for computing flexural stiffness EI of cracked sections of rectangular and circular columns COLUMNS 4.i--' = 3 ksi .............................................. 132 COLUMNS 4.2--' = 4 ksi .............................................. 133 COLUMNS 4 . 3 4 = 5 ksi ............................................... 134 C O L C ? S4 .44' = 6 ksi .............................................. -135 COLUMNS 4.5----' = 9 ksi ..............................................1 36 COLUMNS 4.&-' = i2 ksi ............................................. 137 COLUMNS 5- Moment mamiifier term C, for columns COLUMNS 5.1-For rectangular tied columns and square columns with steel arranged in a circle-- . = 3 ksi ....................................... 138 COLUMNS 5.2-For rectangular tied columns and square columns with vi Copyright American Concrete Institute Provided by IHS under license with ACI Licensee=Bechtel Corp/9999056100 No reproduction or networking permitted without license from IHS Not for Resale, 05/04/2005 04:29:24 MDT . steel arranged in a circle--’ 4 ksi ....................................... 138 COLUMNS 5.3-For rectangular tied columns and square coliimns with steel arranged in a circle--.. - 5 ksi ....................................... -139 COLUMNS 5.4-For rectangular tied columns and square columns with steel arranged In a circle-- ..- 6 ksi ....................................... 139 COLUMNS 5.5-For rectangular tied columns and square columns with steel arranged in a circle-- .. 9 ksi ....................................... 140 COLUMNS 5.6-For rectaugular tied columns and square columns with .. steel arranged in a circle-f, 12 ksi ...................................... 140 COLUMNS 5.7-For circular columns-f, . =. 3 ksi ........................... 141 COLUMNS 5.8-For circular columns-L’ .4 ksi ........................... 141 COLUMNS 5.9-For circular c01iunns-f’ 5 ksi ........................... 142 COLUMNS 5.10-For circular columns--- .. 6 ksi .......................... 142 COLUMNS 5.1 1-For circular columns-- . = 9 ksi .......................... 143 COLUMNS 5.12-For circular columns--- .. 12 ksi ......................... 143 CCOOLLUUMMCCCCONOOONSLLLSL UUUU/7:VMMMM-aNNNNlNuSeSSSso 6767....d2111--..F12F o--oofRRlr ro y 33a --fd66o##-00rm53.. 67c o t aoimneldsue a#nm..n4tn.. d s ..tc ti..srre.pe.osi.n.s r.os.ga. .rltsh. .ses . .pci...ntir..i.taoe...ni.r..ssa... . c....t....i.o.....n..... .d....i....a....g....r...a....m....... ........................................................................ 111144444567 --`,``,,,,``,,`,,`,,`,,````,`-`-`,,`,,`,`,,`--- COLUMNS 7.1.3-R3-60.8 ............................................. 148 COLUMNS 7.1.4-R3-60.9 .............................................. 149 COLUMNS 7.2.1R4-60-6 ............................................. 150 COLUMNS 7.2.2-R4-60.7 ............................................. 151 COLUMNS 7.2.3-R4-60.8 ............................................. 152 COLUMNS 7.2.4-R4-60.9 ............................................. 153 COLUMNS 7.3.1-DC-60.6 ............................................. 154 COLUMNS 7.3.2-R5-60.7 ............................................. 155 COLUMNS 7.3.3R5-60.8 ............................................. 156 COLUMNS 7.3.4-R5-60.9 ............................................. 157 COLUMNS 7.4.1R6-60.6 ............................................ -158 COLUMNS 7.4.2-R6-60.7 ............................................. 159 COLUMNS 7.4.3-R6-60.8 ............................................. 160 COLUMNS 7.4.4-R6-60.9 ............................................. 161 COLUMNS 7.5.1-0-75.6 ............................................. 162 COLUMNS 7.5.2-R9-75.7 ............................................. 163 COLUMNS 7.5.3-DO-75-8 ............................................. 164 COLUMNS 7.5.4429-75.9 ............................................. 165 COLUMNS 7.6.1R12-75.6 ............................................ 166 COLUMNS 7.6.2-R12-75.7 ...................................... ...... 167 ’ COLUMNS 7.6.3R12-75.8 ............................................ 168 COLUMNS 7.6.kR12-75.9 ............................................ 169 COLUMNS 7.7.1L3-60-6 .............................................. 170 COLUMNS 7.7.2-L3-60-7 .............................................. 171 COLUMNS 7.7.3-L3-60-8 .............................................. 172 Copyright American Concrete Institute Provided by IHS under license with ACI Licensee=Bechtel Corp/9999056100 No reproduction or networking permitted without license from IHS Not for Resale, 05/04/2005 04:29:24 MDT COLUMNS 7.7.6L3-60.9 .............................................. 173 COLUMNS 7.8.1L4-60.6 .............................................. 174 COLUMNS 7.8.2-L4-60.7 ............................................. -175 COLUMNS 7.8.3-L4-60.8 .............................................. 176 COLUMNS 7.8.6L4-60.9 .............................................. 177 COLUMNS 7.9.1-L5-60.6 .............................................. 178 COLUMNS 7.9.2-L5-60.7 .............................................. 179 COLUMNS 7.9.3L5-60.8 .............................................. 1? ?I COLUMNS 7.9.6L5.60.9 .............................................. 16 . COLUMNS 7.10.1-L6-60.6 ............................................. 182 COLUMNS 7.10.2-L6-60.7 ............................................. 183 COLUMNS 7.10.3L6-60.8 ............................................. 184 COLUMNS 7.10.GL6-60.9 ............................................. 185 COLUMNS 7.1 1.1L9-75.6 ............................................. 186 COLUMNS 7.1 1.2T9-75.7 ............................................. 187 COLUMNS 7.1 1.3-L9-75.8 ............................................. 188 COLUMNS 7.1 1. GL9.7 5.9 ............................................. 189 COLUMNS 7.12.1L12-75.6 ............................................ 190 COLUMNS 7.12.2712-75.7 ............................................ 191 COLUMNS 7.12.3-L 12-75.8 ............................................ 192 COLUMNS 7.12.4-L12-75.9 ............................................ 19: --`,``,,,,``,,`,,`,,`,,````,`-`-`,,`,,`,`,,`--- CCCCCCOOOOOOLLLLLLUUUUUUMMMMMMNNNNNNSSSSSS 777777......111111334343. ..1...1A223--4444C33433-M.--6-666600000. 6.0.6.. 77.89 ................................................................................................................................................................................................................................................................. . .. ..... 1 11111999999456879 COLUMNS 7.14.3-CM0.8 ........................................... -200 COLUMNS 7.14.Are60.9 ........................................... 201 COLUMNS 7.15.145-60.6. ........................................... 202 COLUMNS 7.15.245-60.7 ............................................ 203 COLUMNS 7.15.345-60.8 ........................................... -204 COLUMNS 7.15.4-C5-60.9 ........................................... -205 COLUMNS 7.16.146-60.6 ........................................... -206 COLUMNS 7.16.246-60.7 ........................................... -207 COLUMNS 7.16.3-C6-60.8 ........................................... -208 COLUMNS 7.16.AG60.9 ............................................ 209 COLUMNS 7.1 7.149-75.6 ........................................... -210 COLUMNS 7.17.2-49-75.7 ............................................ 211 COLUMNS 7.17.349-75.8 ........................................... -212 COLUMNS 7.17.4-c9-75.9 ........................................... -213 COLUMNS 7.18.1412-75.6 .......................................... -214 COLUMNS 7.18.2412-75.7 .......................................... -215 COLUMNS 7.18.3412-75-8. .......................................... 216 COLUMNS 7.18.4-cl2-75.9 .......................................... -217 Copyright American Concrete Institute viii Provided by IHS under license with ACI Licensee=Bechtel Corp/9999056100 No reproduction or networking permitted without license from IHS Not for Resale, 05/04/2005 04:29:24 MDT COLUMNS 7.19.1-S3-60.6 ............................................ 218 COLUMNS 7.19.2-S3-60.7 ........................................... -219 COLUMNS 7.19.3-43-60.8 ............................................ 220 COLUMNS 7.19.AS3-60.9 ............................................. 221 COLUMNS 7.20.1-s4-60.6 ........................................... -222 COLUMNS 7.20.2-S4-60.7 ............................................ 223 COLUMNS 7.20.3-S4-60.8 ............................................ 224 COLUMNS 7.20.6S4-60.9 ........................................... -225 COLUMNS 7.21.1-C5-60.6 ............................................ 226 COLUMNS 7.21.2-S5-60.7 ........................................... -227 COLUMNS 7.21.3-S5-60.8 ............................................ 228 COLUMNS 7.21.AS5-60.9 ............................................ 229 COLUMNS 7.22.1-S6-60.6 ........................................... -230 COLUMNS 7.22.2-S6-60.7 ........................................... -231 COLUMNS 7.22.3-S6-60.8 ........................................... -232 COLUMNS 7.22.4-S6-60.9 ............................................ 233 COLUMNS 7.23.1-S9-75.6 ........................................... -234 COLUMNS 7.23.2-S9-75.7 ........................................... -235 COLUMNS 7.23.3-S9-75.8 ........................................... -236 COLUMNS 7.23.4-49-75.9 ............................................ 237 COLUMNS 7.24.1-S12-75.6 .......................................... -238 COLUMNS 7.24.2-S12-75.7 .......................................... -239 COLUMNS 7.24.3-S 12-75.8 ..... ..................................... -240 ’ COLUMNS 7.24.AS12-75.9 ........................................... 241 COLUMNS &-Solution to reciprocal load equation for biaxial bending- P,,/ A, as a function of PJA, Pv /A, and Po/ A, ............................. 242 ; COLUMNS 9-Solution to reciprocal load equation for biaxial bending- P,,/P oa s a function of P,/P,, and PV /Po .................................. -243 COLUMNS 10-Biaxial bending design constant ß-For rectangular columns COLUMNS 10.1-Witb two bars on each of four .faces ........................ 244 COLUMNS 10.2-With three bars on each of four faces ..................... -244 COLUMNS 10.3-With four or more bars on each of four faces ................ -245 COLUMNS 10.4-With three, four, or five bars on each of two opposite faces ..... 245 COLUMNS 11 -Biaxial moment relationship .................................... -246 SLABS 1”Binimms lab thickness SLABS 1.1-Minimum thickness of slab without intdor beams. ...............- 248 SLABS 1.2-Minimm slab thiclmess for deflection of slabs on beams, drop panels or bands . SLABS 1.2.13, .40 , 000 psi ........................................ -249 SLABS 1.2.2-- 60,O 00 psi ........................................ -250 SLABS 2-Factor ?for calculating a ........................................... 251 SLABS 3.1-Factor kl for perimeter shear-Interior column .................... 252 SLABS 3.2-Factors k,’ and k; for perimeter shear-Square interior column. ...... 253 --`,``,,,,``,,`,,`,,`,,````,`-`-`,,`,,`,`,,`--- ix Copyright American Concrete Institute Provided by IHS under license with ACI Licensee=Bechtel Corp/9999056100 No reproduction or networking permitted without license from IHS Not for Resale, 05/04/2005 04:29:24 MDT
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