CORCON Design, Construction and Technical Information Manual SIMPLE DESIGN CHART & SAMPLE CALCULATIONS INDEX DESIGN CONSIDERATIONS SIMPLE DESIGN LOAD AND SPAN CHARTS FOR CORCON P2 SAMPLE CALCULATION P6 BEAM DESIGN P15 REFERENCE FIGURES FOR DESIGN P24 Appendix IX. SIMPLE DESIGN CHART & SAMPLE CALCULATIONS Created with novaPDF Printer (www.novaPDF.com) P3 P1 CORCON Design, Construction and Technical Information Manual DESIGN CONSIDERATIONS CORCON is a hybrid moltiribbed slab +beam system using the best properties of a slab coupled with all the advantages of the beam used to stiffen the slab in deflection. CORCON is a flexible system that can be applied to any span and loading configuration by the use of inserts which can be used to vary the depth of the CORCON rib beams - from a nominal 50 m2 depression to 300 m2 deep for extra heavy loads and or long Spam over 8 to 9m. Also by reducing the (c to c) centre to centre spacing from 1200 m2 and continuity the spam can be increased to 26m using post-tensioning. Small spans - say 3m- use CORCON with "FLAT" insert mould (see the Figure below): If require structural primary beams could always use upstand beams subject to requirements. (see the Figure below): This upstand systems allows continuous layting of CORCON ribs. Appendix IX. SIMPLE DESIGN CHART & SAMPLE CALCULATIONS Created with novaPDF Printer (www.novaPDF.com) P2 CORCON Design, Construction and Technical Information Manual SIMPLE DESIGN LOAD AND SPAN CHARTS FOR CORCON Beams @ 1200 Centres Single Span Allowable superimposed live load (KPa) Reqd Avg Conc C to C spans metres Beam bar Total . Depth size depth vol d mm overla mm 4.0 5.0 5.5 6.0 6.5 7.0 7.5 8.0 8.5 9.0 10.0 11.0 14.0 m3/ p m2* 50 2Y12 0.12 184 3 75 2Y12 0.12 209 5 .5^ 100 2Y12 0.12 234 5 1.5 150 2Y12 0.12 284 5 2.5 1 200 2Y12 0.12 334 4 4 2 1^ 250 2Y16 0.13 384 5 5 3.5 300 2Y16 0,14 414 5 5 1.5 hour fire rating, stc 49, min cover 85mm, f62 mesh top & 1/250 deflection * based on 20m2 room ^ roof loads ** post tensioned *** continuous post tensioned built in primary beam 2 4 0.3 3** 2 1^ 5** 3** 2*** Single Span Avg Total Allowable superimposed live load (KPa) Beam Reqd bar Conc. C to C spans metres Depth depth vol d mm size mm 3.0 3.5 4.0 4.5 5.0 5.5 6.0 6.5 7.0 7.5 8.0 8.5 9.0 9.5 overlap m3/m2* 50 2Y12 0.10 164 5 5 3 100 2Y12 0.10 214 5 150 2Y12 0.10 264 200 2Y12 0.11 314 250 2Y16 0.11 364 300 2Y16 0.12 414 0.5-hour fire rating, min cover 65mm, f62 mesh top & 1/250 deflection * based on 20m2 room ^ roof loads 1 4.5 2.5 .05 5 3.5 1.5 4 2 5 1 1 5 5 4 5 2 5 1.5 0.5 3.5 2 1 Continuous Span Appendix IX. SIMPLE DESIGN CHART & SAMPLE CALCULATIONS Created with novaPDF Printer (www.novaPDF.com) P3 CORCON Design, Construction and Technical Information Manual Beam Depth d mm 50 Allowable superimposed live load (KPa) and Reqd Avg Total deflection to span ratio. bar Conc. depth C to C spans metres size vol mm 10. 10. 11. overlap m3/m2* 5.0 5.5 6.0 6.5 7.0 7.5 8.0 8.5 9.0 9.5 0 5 0 2Y12 0.12* 2 184 1/2 70 75 2Y12 0.12* 209 100 2Y12 0.12* 234 150 2Y12 0.12* 284 200 2Y12 0.13* 334 250 2Y16 0.13* 384 300 2Y16 0.13* 2 1/2 75 2 1/3 00 2 1/2 75 434 2 1/2 75 2 2 1/3 1/3 50 00 2 2 2 1/3 1/3 1/2 50 00 50 1.5 hour fire rating, stc 49, min cover 85mm, f62 mesh & y16 @ 1200mm top Appendix IX. SIMPLE DESIGN CHART & SAMPLE CALCULATIONS Created with novaPDF Printer (www.novaPDF.com) P4 CORCON Design, Construction and Technical Information Manual SELECTED SECTION PROPERTIES B d D b= B= D= d= Fck = Fy = Conc. Cover = Rib Spacing = 110mm 155Mm 485mm 300mm 30N/mm2 460N/mm2 25mm 900mm Cross sectional Area = 177954.57mm2 Moment of Inertia Ixx = 2468.22E6 mm4 Reinforcement at Mid-Span = 2 * T16 mm Dia. Reinforcement at Supports = 3 T 12mm Dia. Moment Capacity at Mid Span = 69.08KN-m Section Capacity at Support = 81.03 Actual Deflection = 1.14mm Shear Capacity = 0.86N/Sq.mm Shear Reinforcement = Please check CORCON test Results. Concrete Volume per Sq.m of Plan Area = 0.15Cub.m Reinforcement per Sq.m of Plan Area = 0.26Kg Appendix IX. SIMPLE DESIGN CHART & SAMPLE CALCULATIONS Created with novaPDF Printer (www.novaPDF.com) P5 CORCON Design, Construction and Technical Information Manual SAMPLE CALCULATION PROJECT JOB REF The Sukhothai Bangkok DECOIN PTY LTD ACN 008 625 590 ABN 30 008 625 590 CALCULATION BY Upul Perera PART OF STRUCTURE Appendix IX. SIMPLE DESIGN CHART & SAMPLE CALCULATIONS Created with novaPDF Printer (www.novaPDF.com) CHECKED BY CALC SHEET PRINTED BY Decoin Pty Ltd DATE 09/02/2003 P6 CORCON Design, Construction and Technical Information Manual MEMBER REF LOAD CALCULATIONS OUT PUT Loading (Guest Room Area) (A) Rib Self weight kN/m2 Screed + Finishes kN/m2 Services kN/m2 Ceilings kN/m2 = 3.36 = 1.177 = 0.225 = 0.225 References to BS 8110 Partitions = kN/m2 - DL Imposed Lead kN/m2 - LL 3.434 8.421 1.962 n= 14.93 kN/m2 Udl for Ribs (ult) DL = 8.421 x 1.2 = 10.1 kN/m LL = 1.962 x 1.2 = 2.4 kN/m (B) Plant Room Area Rib Self wt. Screed = 3.36 = 1.1772 0.225 = 4.7622 Services kN/m2 - DL Live Leads kN/m2 - LL = 7.35 8 N= 18.439 kN/m2 (ULT) Udl for Ribs (C ) Storage Room, Rib self wt. Screed Services kN/m2 - DL Imposed Load 2 kN/m - LL DL = 5.715 kN/m LL = 8.829 kN/m = 3.36 kN/m2 = 1.177 0.225 = 4.7622 Appendix IX. SIMPLE DESIGN CHART & SAMPLE CALCULATIONS Created with novaPDF Printer (www.novaPDF.com) 4.905 - P7 CORCON Design, Construction and Technical Information Manual UDL for Ribs, MEMBER REF DL = 5.715 kN/m LL = 5.886 kN/m Specimen Calculation Y20 OUT PUT Y20 125 Area=140561 mm2 = 0.14 m2 400 66 References to BS 8110 Loading for [live load of 300 kg/m2 Area] Ribbed slab self wt = 0.14 x 24 = 3.36 kN/m2 Screed = 1.18 Services = 0.225 Ceilings = 0.225 4.99 kN/m2 – DL = 2.943 kN/m2 - Live Load LL Design Ultimate Load x 1.6 n = 4.99 x 1.4 + 2.943 = 11.69 kN/m2 Uniformly Distributed Load on a Rib DL = 1.2 x 4.99 = 5.88 kN/m LL = 1.2 x 2.943 = 3.53 kN/m (service load) Three load combinations were considered. Please refer Prokon print out sheets #01 to #03. The rib beam is designed for max. sagging and hogging moment for each span, considering BM and SF envelopes. MEMBER REF CALCULATIONS OUT PUT A. Durability and Fire Resistance of Rib Slab BS8110 Cl 3.3.4 Exposure conditions: It is assumed that these rib beams are used in areas where the concrete surfaces are protected Appendix IX. SIMPLE DESIGN CHART & SAMPLE CALCULATIONS Created with novaPDF Printer (www.novaPDF.com) P8 CORCON Design, Construction and Technical Information Manual against weather or aggressive conditions. Therefore treat as mild Exposure Conditions. BS8110 Table 3.4 For Grade 30 Concrete (30 Mpa) the Nominal cover requirement is as 25 mm, for Durability requirement, Note: Above cover requirement is including links BS 8110 Table 3.5 Nominal cover for Ribbed slab for : 01 hr. Fire Period = 20 mm 02 hr. Fire Period = 35 mm for continuous beams 45 mm for Simply Supported beams use 35 mm cover for bottom bars BS 8110 Fig. 3.2 Minimum member Dimensions regeared for Ribbed beams, is 125 mm and Slab thickness of 95 mm for 1 hr fire rating? Same for 2-hr fire rating is 125 mm ribs & 125 mm slab thickness. MEMBER REF CALCULATIONS OUT PUT Design for bending. MaxM + re moment in the span = 71.1 kNm. BS 8110 Cl.3.4.4.4 Effective Depth (d) = 400 – (35+6+15) = 344 mm Appendix IX. SIMPLE DESIGN CHART & SAMPLE CALCULATIONS Created with novaPDF Printer (www.novaPDF.com) P9 CORCON Design, Construction and Technical Information Manual K= M 71.1 10 6 =0.017 < k’ = 0.156 bd 2 f cu 1179 344 2 30 Hence Compression R/F is not required. Z=d [0.5 + k 0.25 ] < 0.95d 0.9 0.017 =344 x [0.5+ 0.25 ] 0.9 =344 x 0.98 >0.95d Z=0.95d=0.95x344=327mm Depth to Neutral axis ‘x’ = (d-z)/0.45 =(344-327)/0.45 =37.8mm <100mm min. flange thickness Hence, Neutral airs is within flange thickness. BS 8110 Table 3.27 area of tension R/F, M 71.1 106 As = 555mm 2 0.87 fyz 0.87 450 327 As =555 mm2 100As min bw h =0.18 for (As)min = bw 95.5 0.08 0.4 b 1179 0.18 95.5 400 68.7 mm 2 555mm 2 100 Minimum Steel requirement is satisfactory. MEMBER REF CALCULATIONS OUT PUT Maxm Support (at 1st intention Support) = -63 kNm Effective depth to tension R/F; d=400(25+6+25+20/2)=334mm Effective depth to compression R/F; d’=35+6+15= 56mm Appendix IX. SIMPLE DESIGN CHART & SAMPLE CALCULATIONS Created with novaPDF Printer (www.novaPDF.com) P10 CORCON Design, Construction and Technical Information Manual M/bd2 fcu = 63 10 6 = 0.285 > k’=0.156 66 334 2 30 Compression Steel is required. Z=d [0.5 + k' 0.25 ] 0.9 = 334[0.5 + 0.156 0.25 ] 0.9 = 334 x 0.776 = 259 mm x= (d-z)/0.45 = (384-259) / 0.45 = 166.6 mm Area of compression Reinforcements: A's=(k-k') fcubd 2/0.87 fy(d-d') 0.285 0.15630 66 334 2 = =261.8 mm2 0.87 450 334 56 Area of tension R/F : As = k' fcu bd2 / 0.87fyz +A's 0.156 30 66 334 2 As = +261.8 = 601.6 mm2 0.87 450 259 Compression steel area at support A's = 261.8 mm2 Tension steel area at support As = 601.6mm2 100 Asmin . =0.26 bwh 0.26 95.5 400 Asmin. = = 99.3 mm2 <601.6 mm2 100 minimum steel requirement is satisfactory. minimum tension R/F BS 8110 Table 327 Appendix IX. SIMPLE DESIGN CHART & SAMPLE CALCULATIONS Created with novaPDF Printer (www.novaPDF.com) P11 CORCON Design, Construction and Technical Information Manual MEMBER REF CALCULATIONS OUT PUT Check for Shear Maxm. shear force at 1st interior support = 60.6 kN, Take Maxm shear force at ‘d’ away from face of the support: V=54.8 kN Tension Steel provided 2 Y 20 (628 mm2 ) BS 8110 Table 3.9 100 As 100 628 = =1.968 bd 95.5 334 mm2 54.8 10 3 =1.718 N/ 95.5 334 Design concrete shear stress vc 1 Or from equation: v= 1 1 100 As 3 400 4 f 3 vc = 0.79 /γ m cu bvd d 25 1 100 628 3 = 0.79 bvd 1 1 400 / 334 4 30 3 1.25 25 1.046 2 vc = 0.79 1.250 1.0625 = 0.878 N/ mm 1.25 Asv b v sv (v-vc) / 0.87 fyv BS 8110 Table 3.8 sv 0.87 f yv Asv bv v vc 0.87 250 28.3 2 95.5 1.718 0.898 sv 153mm provide R6-150 c/c max shear link spacing 0.75d= 0.75 x 334 = 250 mm BS 8110 cl.3.4.56 minimum link requirement Asv 0.4 bv sv / 0.87 fyv Table 3.8 sv Provide Shear links at 1st interior support R6-150 mm c/c. 0.87 f yv Asv 0.4bv 0.87 250 28.3 2 = 322 mm 0.4 95.5 Appendix IX. SIMPLE DESIGN CHART & SAMPLE CALCULATIONS Created with novaPDF Printer (www.novaPDF.com) P12 CORCON Design, Construction and Technical Information Manual provide nominal links @ R6 -225 c/c Provide Nominal links R6-225 mm c/c. MEMBER REF CALCULATIONS OUT PUT Check for Deflection, (250mm Rib -n = 11.69kN/m2 bw 95.5 = = 0.081 b 1179 Ref. BS 8110 Table 3.10 basic span/Depth ratio = 16.76 (Value between simply supported & continuous) As 538 1 fs= 5 f y req. = 5 450 1 = 240 N/ 8 8 629 Asprov. b mm2 M/bd 2 = 71.1 10 6 = 0.509 1179 344 2 Modification factor = 0.55 + 477 f s M 120 0.9 2 bd 2.0 M.F. = 0.55 + 477 240 1.95 2.0 1200.9 0.509 Allowable span = 16.76 x 1.95 x 344 mm =11,242 mm > actual span 7,258 mm Hence: Deflection is satisfactory. Appendix IX. SIMPLE DESIGN CHART & SAMPLE CALCULATIONS Created with novaPDF Printer (www.novaPDF.com) P13 CORCON Design, Construction and Technical Information Manual CHECK FOR DEFLECTION (BS8110) DATA Bending moment at mid span = 114 kNm (Ultimate) Average web width (b w) = 95.5 mm Effective Flange width (b) = 1179 mm Effective depth at mid span (d) = 394 mm Actual span of rib = 7525 mm Strength of reinforcement (fy) = 450 N/mm Area of steel required (Asreq.) = 778 mm 2 Area of steel provided (Aspro.) = 805 mm 2 Moment redisribution ratio = 1 = 16.76 2 CALCULATIONS Basic Span/Span Depth ratio The design service stress (fs) = Modification factor = Allowable Span = 271.82 N/mm 2 1.67 11,046 1.673 mm Deflection is Satisfactory Table 3.10 of BS8110 See the BS 8110- Table 3.10 b w/b = 0.1 Rectangular Support Conditions Sections Flanged Beams with bw/b <=0.3 Cantilever 7 5.6 Simply Supported 20 16 Continuous 26 20.8 Note: Linear Interpolation between values given above can be used. Appendix IX. SIMPLE DESIGN CHART & SAMPLE CALCULATIONS Created with novaPDF Printer (www.novaPDF.com) P14 CORCON Design, Construction and Technical Information Manual BEAM DESIGN Appendix IX. SIMPLE DESIGN CHART & SAMPLE CALCULATIONS Created with novaPDF Printer (www.novaPDF.com) P15 CORCON Design, Construction and Technical Information Manual Appendix IX. SIMPLE DESIGN CHART & SAMPLE CALCULATIONS Created with novaPDF Printer (www.novaPDF.com) P16 CORCON Design, Construction and Technical Information Manual Appendix IX. SIMPLE DESIGN CHART & SAMPLE CALCULATIONS Created with novaPDF Printer (www.novaPDF.com) P17 CORCON Design, Construction and Technical Information Manual Appendix IX. SIMPLE DESIGN CHART & SAMPLE CALCULATIONS Created with novaPDF Printer (www.novaPDF.com) P18 CORCON Design, Construction and Technical Information Manual Appendix IX. SIMPLE DESIGN CHART & SAMPLE CALCULATIONS Created with novaPDF Printer (www.novaPDF.com) P19 CORCON Design, Construction and Technical Information Manual Appendix IX. SIMPLE DESIGN CHART & SAMPLE CALCULATIONS Created with novaPDF Printer (www.novaPDF.com) P20 CORCON Design, Construction and Technical Information Manual Appendix IX. SIMPLE DESIGN CHART & SAMPLE CALCULATIONS Created with novaPDF Printer (www.novaPDF.com) P21 CORCON Design, Construction and Technical Information Manual Appendix IX. SIMPLE DESIGN CHART & SAMPLE CALCULATIONS Created with novaPDF Printer (www.novaPDF.com) P22 CORCON Design, Construction and Technical Information Manual Appendix IX. SIMPLE DESIGN CHART & SAMPLE CALCULATIONS Created with novaPDF Printer (www.novaPDF.com) P23 CORCON Design, Construction and Technical Information Manual REFERENCE FIGURES FOR DESIGN Appendix IX. SIMPLE DESIGN CHART & SAMPLE CALCULATIONS Created with novaPDF Printer (www.novaPDF.com) P24