Concrete Design Handbook – 4th Edition

1 Copyright 2016 Cement Association of Canada All rights Design Handbook 4th EditionCHAPTERS 1, 5, 7 AND 12: ADDITIONAL Design AIDSThe additional Design aids in this PDF document form part of the Concrete Design Handbook 4th Edition and are the exclusive property of the Cement Association of Canada. They must not be reproduced in any form without the written permission of the Cement Association of of this document were numbered sequentially with the Handbook chapter material to which they pertain, such that a user may print these Design aids and add them to the hard cover book should they choose to do document has been prepared by the Cement Association of Canada (CAC) to aid in the Design of reinforced Concrete building structures. It has been the intent of the CAC to present this information in a manner which will serve as an extension to the CSA Group standard , Design of Concrete structures, and the other documents referenced herein.

2 While every attempt has been made to present information that is factual and in a useable format, none of the references to the CSA Group standard or the National Building Code of Canada should be construed as an endorsement of the material appearing in the Handbook by the agencies responsible for the referenced material. This publication is intended SOLELY for the use of PROFESSIONAL PERSONNEL who are competent to evaluate the significance and limitations of the information provided herein, and who will accept total responsibility for the application of this information. The authors and the Cement Association of Canada disclaim any and all RESPONSIBILITY and LIABILITY for the application of the stated principles and for the accuracy of any of the material contained in this publication to the full extent permitted by Design Handbook 4th Edition Chapters 1, 5, 7 and 12: Additional Design Aids First printing August 2016 CAC Concrete Design Handbook 4th Edition 1 79 General1 Copyright 2016 Cement Association of Canada All rights :1 80 GeneralCopyright 2016 Cement Association of Canada All rights.

3 CAC Concrete Design Handbook 4th Edition 1 81 General1 Copyright 2016 Cement Association of Canada All rights :Table :Table :CAC Concrete Design Handbook 4th Edition 5 43 Slabs5 Copyright 2016 Cement Association of Canada All rights reserved. l = l l Table Beam to Slab Ratio (Edge Beams) 5 44 SlabsCopyright 2016 Cement Association of Canada All rights reserved. = lll Table Beam to Slab Ratio (Interior Beams) CAC Concrete Design Handbook 4th Edition 5 45 Slabs5 Copyright 2016 Cement Association of Canada All rights reserved.

4 Table Factor k, Shear-Moment Transfer, Interior Column5 46 SlabsCopyright 2016 Cement Association of Canada All rights reserved. Table Factor k1 or k2, Shear-Moment Transfer, Interior ColumnCAC Concrete Design Handbook 4th Edition 5 47 Slabs5 Copyright 2016 Cement Association of Canada All rights reserved. Table Factor k, Shear-Moment Transfer, Edge Column5 48 SlabsCopyright 2016 Cement Association of Canada All rights reserved.

5 Table Factor k1, Shear-Moment Transfer, Edge ColumnCAC Concrete Design Handbook 4th Edition 5 49 Slabs5 Copyright 2016 Cement Association of Canada All rights reserved. Table Factor k2, Shear-Moment Transfer, Edge Column5 50 SlabsCopyright 2016 Cement Association of Canada All rights reserved. Table Factor k1, Shear-Moment Transfer, Corner ColumnCAC Concrete Design Handbook 4th Edition 5 51 Slabs5 Copyright 2016 Cement Association of Canada All rights reserved. Table Factor k1 or k2, Shear-Moment Transfer, Corner Column5 52 SlabsCopyright 2016 Cement Association of Canada All rights Area of Reinforcing Steel (As mm2) Per One Metre StripBar Spacing mmBar Size (No.)

6 1015202530355020004000600010000140002000 0801250250037506250875012500100100020003 0005000700010000120833166725004167583383 3315066713332000333346676667180556111116 6727783889555620050010001500250035005000 2204559091364227331824545240417833125020 8329174167250400800120020002800400026038 5769115419232692384628035771410711786250 0357130033366710001667233333333203136259 3815632188312534029458888214712059294136 0278556833138919442778380263526789131618 4226324002505007501250175025004202384767 1411901667238144022745568211361591227346 0217435652108715222174 CAC Concrete Design Handbook 4th Edition 7 25 Short Columns7 Copyright 2016 Cement Association of Canada All rights Rectangular Columns with Equal Numbers of Bars on all Faces Table Rectangular Columns with Equal Numbers of Bars on all Faces 05101520253001234567Pr /Ag MPaMr /(Ag h), MPa05101520253001234567Pr /Ag MPaMr /(Ag h), MPaEI19 = kbh3/(1+ d) EI20 = 750 bh3/(1+ d) fy = 400 MPa s = c = t = 1%, k = 497 t = 2%, k = 620 t = 3%, k = 742 t = 4%, k = 865 t = 5%, k = 987 t = 6%, k = 1110 fs /fy = EI19 = kbh3/(1+ d) EI20 = 750 bh3/(1+ d) fy = 4 00 MPa s = c = t = 1%, k = 542 t = 2%, k = 708 t = 3%, k = 875 t = 4%, k = 1042 t = 5%, k = 1208 t = 6%, k = 1375 = 0 = 25 MPa = = 25 MPa 7 26 Short ColumnsCopyright 2016 Cement Association of Canada All rights Rectangular Columns with Equal Numbers of Bars on all Faces Table Rectangular Columns with Equal Numbers of Bars on all Faces 051015202530012345678Pr /Ag MPaMr /(Ag h), MPa051015202530012345678Pr /Ag MPaMr /(Ag h)

7 , MPaEI19 = kbh3/(1+ d) EI20 = 750 bh3/(1+ d) fy = 400 MPa s = c = t = 1%, k = 593 t = 2%, k = 810 t = 3%, k = 1028 t = 4%, k = 1246 t = 5%, k = 1 463 t = 6%, k = 1681 EI19 = kbh3/(1+ d) EI20 = 750 bh3/(1+ d) fy = 400 MPa s = c = t = 1%, k = 651 t = 2%, k = 926 t = 3%, k = 120 2 t = 4%, k = 1477 t = 5%, k = 1753 t = 6%, k = 2028 = = 25 MPa = 0 = 25 MPa CAC Concrete Design Handbook 4th Edition 7 27 Short Columns7 Copyright 2016 Cement Association of Canada All rights Rectangular Columns with Equal Numbers of Bars on all Faces Table Rectangular Columns with Equal Numbers of Bars on all Faces 05101520253001234567Pr /Ag MPaMr /(Ag h), MPa05101520253001234567Pr /Ag MPaMr /(Ag h), MPaEI19 = kbh3/( 1+ d) EI20 = 822 bh3/(1+ d) fy = 400 MPa s = c = t = 1%, k = 533 t = 2%, k = 656 t = 3%, k = 778 t = 4%, k = 901 t = 5%, k = 1023 t = 6%, k = 1 145 fs /fy = EI19 = kbh3/(1+ d) EI20 = 822 bh3/(1+ d) fy = 400 MPa s = c = t = 1%, k = 577 t = 2%, k = 744 t = 3%, k = 911 t = 4%, k = 1077 t = 5%, k = 1244 t = 6%, k = 1411 = = 30 MPa = 0 = 30 MPa 7 28 Short ColumnsCopyright 2016 Cement Association of Canada All rights Rectangular Columns with Equal Numbers of Bars on all Faces Table Rectangular Columns with Equal Numbers of Bars on all Faces 0510152025300 1 2 3 4 5 6 7 8 9Pr /Ag MPaMr /(Ag h), MPa0510152025300 1 2 3 4 5 6 7 8 9Pr /Ag MPaMr /(Ag h), MPaEI19 = kbh3/(1+ d) EI20 = 822 bh3/(1+ d)

8 Fy = 400 MPa s = c = t = 1%, k = 623 t = 2%, k = 846 t = 3%, k = 1064 t = 4%, k = 1282 t = 5%, k = 1 499 t = 6%, k = 1717 fs /fy = EI19 = kbh3/(1+ d) EI20 = 822 bh3/(1+ d) fy = 400 MPa s = c = t = 1%, k = 686 t = 2%, k = 962 t = 3%, k = 1237 t = 4%, k = 1513 t = 5%, k = 1788 t = 6%, k = 2064 = = 30 MPa = 0 = 30 MPa CAC Concrete Design Handbook 4th Edition 7 29 Short Columns7 Copyright 2016 Cement Association of Canada All rights Rectangular Columns with Equal Numbers of Bars on all Faces Table Rectangular Columns with Equal Numbers of Bars on all Faces 05101520253001234567Pr /Ag MPaMr /(Ag h), MPa05101520253001234567Pr /Ag MPaMr /(Ag h), MPaEI19 = kbh3/(1+ d) EI20 = 887 bh3/(1+ d) fy = 400 MPa s = c = t = 1%, k = 566 t = 2%, k = 689 t = 3%, k = 811 t = 4%, k =934 t = 5%, k = 1056 EI19 = kbh3/(1+ d) EI20 = 887 bh3/(1+ d) fy = 400 MPa s = c = t = 1%, k =610 t = 2%, k = 777 t = 3%, k = 944 t = 4%, k = 1110 t = 5%, k = 1277 = = 35 MPa = 0 = 35 MPa 7 30 Short ColumnsCopyright 2016 Cement Association of Canada All rights Rectangular Columns with Equal Numbers of Bars on all Faces Table Rectangular Columns with Equal Numbers of Bars on all Faces 0510152025300 1 2 3 4 5 6 7 8 9Pr /Ag MPaMr /(Ag h), MPa0510152025300 1 2 3 4 5 6 7 8 9Pr /Ag MPaMr/(Ag h), MPaEI19 = kbh3/(1+ d) EI20 = 887 bh3/(1+ d)

9 Fy = 400 MPa s = c = t = 1%, k = 719 t = 2%, k = 995 t = 3%, k = 1270 t = 4%, k = 1546 EI19 = kbh3/(1+ d) EI20 = 887 bh3/(1+ d) fy = 400 MPa s = c = t = 1%, k = 661 = = 35 MPa t = 2%, k = 879 t = 5%, k = 1821 t = 3%, k = 1097 t = 4%, k = 1314 t = 5%, k = 1532 = = 35 MPa CAC Concrete Design Handbook 4th Edition 7 31 Short Columns7 Copyright 2016 Cement Association of Canada All rights Rectangular Columns with Equal Numbers of Bars on all Faces Table Rectangular Columns with Equal Numbers of Bars on all Faces 05101520253035012345678Pr /Ag MPaMr /(Ag h), MPa05101520253035012345678Pr /Ag MPaMr /(Ag h), MPaEI19 = kbh3/(1+ d) EI20 = 949 bh3/(1+ d) fy = 400 MPa s = c = t = 1%, k = 597 t = 2%, k = 719 t = 3%, k = 842 t = 4%, k = 964 t = 5%, k = 1087 fs /fy = EI19 = kbh3/(1+ d) EI20 = 949 bh3/(1+ d) fy = 400 MPa s = c = t = 1%, k = 641 t = 2%, k = 808 t = 3%, k = 974 t = 4%, k = 1141 t = 6 %, k = 1474 = = 40 MPa = 0 = 40 MPa t = 5%, k = 1308 t = 6%, k = 1209 7 32 Short ColumnsCopyright 2016 Cement Association of Canada All rights Rectangular Columns with Equal Numbers of Bars on all Faces Table Rectangular Columns with Equal Numbers of Bars on all Faces 051015202530350 1 2 3 4 5 6 7 8 9Pr /Ag MPaMr /(Ag h), MPa051015202530350 1 2 3 4 5 6 7 8 9Pr /Ag MPaMr /(Ag h), MPaEI19 = kbh3/(1+ d) EI20 = 949 bh3/(1+ d)

10 Fy = 400 MPa s = c = t = 1%, k = 692 t = 2%, k = 910 t = 3%, k = 1127 t = 4%, k = 1345 t = 5%, k = 1 563 EI19 = kbh3/(1+ d) EI20 = 949 bh3/(1+ d) fy = 400 MPa s = c = t = 1%, k = 750 t = 2%, k = 1025 t = 3%, k = 1301 t = 4%, k = 1576 t = 6%, k = 2127 = = 40 MPa = 0 = 40 MPa t = 5%, k = 1852 t = 6%, k = 1780 CAC Concrete Design Handbook 4th Edition 7 33 Short Columns7 Copyright 2016 Cement Association of Canada All rights Rectangular Columns with Equal Numbers of Bars on all Faces Table Rectangular Columns with Equal Numbers of Bars on all Faces 05101520253035012345678Pr /Ag MPaMr /(Ag h), MPa05101520253035012345678Pr /