MAIN4.1bars per4BProjectSpreadsheets to EC2The Concrete CentreClientAdvisory GroupMade byDatePageLocationColumn D2RMW9-Apr-15279GRAPHIC FOR CROSS SECTIONSYMMETRICALLY REINFORCED RECTANGULAR COLUMN DESIGN, BENT ABOUT TWO AXES TO EN 1992-1 : 2004CheckedRevisionJob Nospace280280400400Originated from TCC53.xlsv4.1 on CD 2000-15 TCC-FB625060606060606060606060340340340340340340340340340340340340340340340340340340606060606060606060MATERIALS60340340340340340340340340340340340340340340340340340340606060606060606060606060606060606060fck32N/mms1.15Cover to link, Cnom30mmoutline004004000fyk500N/mmc1.5dg20mm0400400002.2ef1.21c,dev10mmlink404036036040SECTIONSteel classB403603604040h400mm.b400mm.ho =200with2bars per 400 faceYYand2bars per 400 faceie. 400 x 400 columns with 4 barsTABLES 3.21 & 3.22RemoteBraced X00000.850000RESTRAINTSStoreyTopBtmCONNECTING BEAMS/SLABSendBraced Y00000.850000height (mm)ConditionConditionBraced ?b (mm)h (mm)L (m)(F) or (P)Top and bottom conditionsUnbraced X00001.50000Y-AXIS1900ppYTop West3005008Pare Fixed or PinnedUnbraced Y00001.50000Z-AXIS1900ppYTop East3005006PTop North35001755P80Top South35001755P108L (mm)L0 (mm)h0 (mm)Bottom West3005008F1210Y-AXIS14001400200Bottom East3005006F1612Z-AXIS17251725Bottom North3005005F2016Bottom South3005005F2520Beam stiffnesses are70%of uncracked stiffness3225Column above?NCol below?Y4032BAR ARRANGEMENTSBAR CENTRES (mm)BarAsc %Link 400 Face400 FaceNuz (kN)Checks3.142As or < minimumB403.14102802804569ok2.011Asc > 4% to 9.5.2 (3)B322.0182922923969ok1.227B251.2382992993553ok0.785B200.7983043043318ok0.503B160.5083083083168ok0.283B120.2883123123051okLOADCASESAXIALTOP MOMENTS (kNm)BTM MOMENTS (kNm)My02My01Mz02Mz01N (kN)m0ym0zm0ym0zFor double curvature, Mtop and Mbtm should be +ive.19.5142.52.31180019.52.514.02.3Moments m0 at top and bottom of column (from analysis) are combined to find m0e. The moment due to imperfections (e1N) and the second order moment (M2) are then added to obtain MEd In the table below.M0x TOP SHOULD BE ZERO29.902.502170029.92.5M0y TOP SHOULD BE ZERO50082.53150050.02.58.0M0x BTM SHOULD BE ZERO8002.504100080.02.5M0y BTM SHOULD BE ZERO12002.505600120.02.513002.506900130.02.5See 'Refs' page for explanation of column moment notation.DESIGNY AXISZ AXISCriticalBiaxial CheckMOMENTSMEd yMRd yMEd zMRd zaxisEquation (5.39)REBAR136.0158.48.8158.4Z0.1034 B12237.2163.38.4163.3Z0.1494 B12355.2169.613.2169.6Z0.2634 B12483.5161.36.0161.3Z0.4794 B125122.1125.44.6125.4Z1.0004 B126133.1154.55.6154.5Z0.8644 B12SEE CHARTS ON NEXT SHEET

Aggrgate sizeFixed or PinnedFixed, or PinnedClear HeightEffective LengthEffective ThicknessBasic CreepFactorEffective CreepFactorCover Design Tolerance. Used only for checking cover.

MAIN

outlinescaledotlinkbars

CHARTS400 x 400 column (h x b), fck = 32, 30 mm coverProjectSpreadsheets to EC2The Concrete CentreClientAdvisory GroupMade byDatePageLocationColumn D2RMW9-Apr-152804SYMMETRICALLY REINFORCED RECTANGULAR COLUMN DESIGN, BENT ABOUT TWO AXES TO EN 1992-1 : 2004CheckedRevisionJob No4BOriginated from TCC53.xls v4.1 on CD 2000-15 TCC0-FB625N:M interaction chart for MEd Y400 x 400 column (h x b), fck = 32, 30 mm coverAXIAL LOAD NEd (kN)4569KEY396935534B40091045694B324B254B204B164B12MOMENT MEd Y (kNm)N:M interaction chart for MEd Z400 x 400 column (h x b), fck = 32, 30 mm coverAXIAL LOAD NEd (kN)4569KEY396935534B40091045694B324B254B204B164B12MOMENT MEd Z (kNm)

OPERATING INSTRUCTIONS

ENTER DATA IN BLUE CELLS ONLY.RED MESSAGES INDICATE ENTRY ERRORS.MAX 10 BARS PER FACE.Print SheetPrint ALL Output

CHARTS1800-348.83954138771270.1728296072-262.6197468249-197.4470702658-153.816574495-56.6508110305-120.55019601971700-310.53170033361171.4296918184-176.8052533873-113.2950537935-71.6298451854-11.6781331517-40.55416408721500-232.1088980628-98.3354217465-38.15294393730.015028895251.275849408227.36104880581000-158.4761358693-55.171323157329.874382770763.8251883461105.513478340986.9099407781600-89.069411620511.977663148674.3830259257121.6539395058153.9601398946140.4257739468900-23.40992361274.7113406707132.0321948395163.4192670909198.3638449182189.447983150138.9114323479133.6525908197185.8296846506212.86238397239.8334000696227.741463305598.246299657189.3123946154236.408205187259.3005934038275.004447725270.6393887777154.8986070274242.1138811859284.2690812975303.2742726123312.5896817069311.3962432835209.1323959962292.4104299384329.8146731342345.2015572679348.8506319286350.4196680005261.178156478340.499473876373.3716479727385.4110574077384.0532425076388.0199977797311.2379919167386.6331497392415.2079800868424.164600137418.3967157001424.4376605315359.4898587495431.0266045019455.5455659676461.6733745954452.033212935459.8618120935406.0910681208473.864538627494.569719895498.1096092281485.0809663852494.443311885451.1811954043515.3064078296532.4364142767533.615160142517.6332366333528.3039478363494.8845111699555.4905936168569.2778658576568.3079235675549.7645747723561.5431173307537.3120229762594.5377734819605.2068925143602.2866895186581.5352900939594.2427466849578.5631987868632.5536643883640.3203451315635.6348615208612.99469591626.4709681802618.7274284612669.6312714208674.7018358105668.4233398898644.1835063743658.2849059452657.885268616705.8527426912708.4239251743700.7127800737674.6998296176689.7328128785696.1095074135741.2909086544741.5498898814730.9388568069703.0556867599717.8237050954733.4660789531776.0105667509769.5330442502756.8200786009731.4115439023744.9237099167770.0148514779805.9397507326793.9368780707782.7013003949759.7674010447772.023714738805.8103092556828.3493691191818.3407118912808.5825221888788.123258187799.1237195593840.9021444998850.7589875057842.7445457118834.4637439828816.4791153294826.2237243805874.4973510493873.1686058923867.1483795323860.3449657768844.8349724718853.3237292018894.292840434895.5782242789891.5522133528886.2261875708873.1908296141880.4237340231914.0883298186917.9878426655915.9560471734912.1074093647901.5466867565907.5237388444933.8838192032940.397461052940.3598809939937.9886311587929.9025438988934.6237436657953.6793085878962.8070794386964.7637148145963.8698529527958.2584010412961.723748487973.4747979724985.2166978252989.167548635989.7510747467986.6142581836988.8237533082993.2702873571007.62631621181013.57138245551015.63229654061014.97011532591015.92375812951013.06577674161030.03593459841037.97521627611041.51351833461043.32597246831043.02376295081032.86126612621052.44555298491062.37905009661067.39474012861071.68182961071070.12376777211052.65675551081074.85517137151086.78288391721093.27596192261100.0376867531097.22377259341072.45224489541097.26478975811111.18671773771119.15718371651128.39354389541124.32377741471092.247734281119.67440814471135.59055155821145.03840551051156.74940103781151.4237822361112.04322366461142.08402653121159.99438537881170.91962730451185.10525818011178.52378705721131.83871304921164.49364491781184.39821919931196.80084909841213.46111532251205.62379187851151.63420243381186.90326330441208.80205301981222.68207089241241.81697246481232.72379669981171.42969181841209.3128816911233.20588684041248.56329268641270.17282960721259.82380152111719.65445364591619.1083217871550.78454511771514.83718530471478.77362756361493.56147275362183.78493456531977.14944845861837.48409892541761.66533723111680.55205192251715.01337056362589.69362815282299.09804415662102.55974225751994.83629710261877.51686828921927.81672293752953.62695454322594.87555311432351.9039639182218.04851499212070.95871455012134.30197183793286.3011111842871.07225687382589.44659846592433.77558985022261.74468342642336.03128299213595.07061649533132.23707372012817.87833350872643.57411695842450.34787058772533.92113257423818.08166960263367.52238071483030.5494203152843.56365894392635.56951581492725.66907867954063.55326823623559.94657874213217.37979270933027.02323665772814.84589357642906.84252522034295.02296905023772.53945068713416.51074841383218.35197499482996.95396645373093.05099172694398.19356584843850.177374783477.23323991083268.44135954693032.65164431983135.53394362594432.16836174443872.48938157443491.04700803853277.3696933183035.91509184253141.29216934124460.62474726623891.21284079433502.65179585483284.87615143753038.66223964013146.13639212154484.80623736583907.14905857563512.53823644083291.27534227843041.00662943150.2682300274505.60883275333920.87729752963521.06168036683296.79543461263043.03078404663153.83406335284523.69448834413932.82670477093528.48581574333301.60593645793044.79612316143156.94273902324539.5628481153943.32198104363535.01043308173305.83540823053046.34930349273159.6768758134553.59811986633952.61333359233540.78967453723309.58312306173047.72640303383162.10031551944566.10059233373960.89668039883545.94436669013312.92695731613048.9557584163164.26317053254569.47714448753968.32761697743550.57055997123315.92886052433050.05993555633166.20532623264569.47714448753968.9453724723552.95200956543318.36928612193051.46627633723168.236343118

Cases4B40N bal4B324B254B204B124B16

Calc1800-348.8395413877-262.6197468249-197.4470702658-153.816574495-56.6508110305-120.55019601971270.17282960721700-310.5317003336-176.8052533873-113.2950537935-71.6298451854-11.6781331517-40.55416408721171.42969181841500-232.1088980628-98.3354217465-38.15294393730.015028895251.275849408227.36104880581000-158.4761358693-55.171323157329.874382770763.8251883461105.513478340986.9099407781600-89.069411620511.977663148674.3830259257121.6539395058153.9601398946140.4257739468900-23.40992361274.7113406707132.0321948395163.4192670909198.3638449182189.447983150138.9114323479133.6525908197185.8296846506212.86238397239.8334000696227.741463305598.246299657189.3123946154236.408205187259.3005934038275.004447725270.6393887777154.8986070274242.1138811859284.2690812975303.2742726123312.5896817069311.3962432835209.1323959962292.4104299384329.8146731342345.2015572679348.8506319286350.4196680005261.178156478340.499473876373.3716479727385.4110574077384.0532425076388.0199977797311.2379919167386.6331497392415.2079800868424.164600137418.3967157001424.4376605315359.4898587495431.0266045019455.5455659676461.6733745954452.033212935459.8618120935406.0910681208473.864538627494.569719895498.1096092281485.0809663852494.443311885451.1811954043515.3064078296532.4364142767533.615160142517.6332366333528.3039478363494.8845111699555.4905936168569.2778658576568.3079235675549.7645747723561.5431173307537.3120229762594.5377734819605.2068925143602.2866895186581.5352900939594.2427466849578.5631987868632.5536643883640.3203451315635.6348615208612.99469591626.4709681802618.7274284612669.6312714208674.7018358105668.4233398898644.1835063743658.2849059452657.885268616705.8527426912708.4239251743700.7127800737674.6998296176689.7328128785696.1095074135741.2909086544741.5498898814730.9388568069703.0556867599717.8237050954733.4660789531776.0105667509769.5330442502756.8200786009731.4115439023744.9237099167770.0148514779805.9397507326793.9368780707782.7013003949759.7674010447772.023714738805.8103092556828.3493691191818.3407118912808.5825221888788.123258187799.1237195593840.9021444998850.7589875057842.7445457118834.4637439828816.4791153294826.2237243805874.4973510493873.1686058923867.1483795323860.3449657768844.8349724718853.3237292018894.292840434895.5782242789891.5522133528886.2261875708873.1908296141880.4237340231914.0883298186917.9878426655915.9560471734912.1074093647901.5466867565907.5237388444933.8838192032940.397461052940.3598809939937.9886311587929.9025438988934.6237436657953.6793085878962.8070794386964.7637148145963.8698529527958.2584010412961.723748487973.4747979724985.2166978252989.167548635989.7510747467986.6142581836988.8237533082993.2702873571007.62631621181013.57138245551015.63229654061014.97011532591015.92375812951013.06577674161030.03593459841037.97521627611041.51351833461043.32597246831043.02376295081032.86126612621052.44555298491062.37905009661067.39474012861071.68182961071070.12376777211052.65675551081074.85517137151086.78288391721093.27596192261100.0376867531097.22377259341072.45224489541097.26478975811111.18671773771119.15718371651128.39354389541124.32377741471092.247734281119.67440814471135.59055155821145.03840551051156.74940103781151.4237822361112.04322366461142.08402653121159.99438537881170.91962730451185.10525818011178.52378705721131.83871304921164.49364491781184.39821919931196.80084909841213.46111532251205.62379187851151.63420243381186.90326330441208.80205301981222.68207089241241.81697246481232.72379669981171.42969181841209.3128816911233.20588684041248.56329268641270.17282960721259.82380152111719.65445364591619.1083217871550.78454511771514.83718530471478.77362756361493.56147275362183.78493456531977.14944845861837.48409892541761.66533723111680.55205192251715.01337056362589.69362815282299.09804415662102.55974225751994.83629710261877.51686828921927.81672293752953.62695454322594.87555311432351.9039639182218.04851499212070.95871455012134.30197183793286.3011111842871.07225687382589.44659846592433.77558985022261.74468342642336.03128299213595.07061649533132.23707372012817.87833350872643.57411695842450.34787058772533.92113257423818.08166960263367.52238071483030.5494203152843.56365894392635.56951581492725.66907867954063.55326823623559.94657874213217.37979270933027.02323665772814.84589357642906.84252522034295.02296905023772.53945068713416.51074841383218.35197499482996.95396645373093.05099172694398.19356584843850.177374783477.23323991083268.44135954693032.65164431983135.53394362594432.16836174443872.48938157443491.04700803853277.3696933183035.91509184253141.29216934124460.62474726623891.21284079433502.65179585483284.87615143753038.66223964013146.13639212154484.80623736583907.14905857563512.53823644083291.27534227843041.00662943150.2682300274505.60883275333920.87729752963521.06168036683296.79543461263043.03078404663153.83406335284523.69448834413932.82670477093528.48581574333301.60593645793044.79612316143156.94273902324539.5628481153943.32198104363535.01043308173305.83540823053046.34930349273159.6768758134553.59811986633952.61333359233540.78967453723309.58312306173047.72640303383162.10031551944566.10059233373960.89668039883545.94436669013312.92695731613048.9557584163164.26317053254569.47714448753968.32761697743550.57055997123315.92886052433050.05993555633166.20532623264569.47714448753968.9453724723552.95200956543318.36928612193051.46627633723168.236343118

Cases4B404B324B254B204B124B16N bal

Ycal040040040036060400360340040340040340340340340340340340340340340340340340340340340606060606060606060606060606060606060

outlinescaledotlinkbars

Zcal040040040036060400360340040340040340340340340340340340340340340340340340340340340606060606060606060606060606060606060

outlinescaledotlinkbars

SlenProjectSpreadsheets to EC2The Concrete CentreClientAdvisory GroupMade byDatePageLocationColumn D2RMW9-Apr-15281SYMMETRICALLY REINFORCED RECTANGULAR COLUMN DESIGN, BENT ABOUT TWO AXES TO EN 1992-1 : 2004CheckedRevisionJob NoOriginated from TCC53.xls v4.1 on CD 2000-15 TCC0-FB625TYPICAL CALCULATIONfor loadcase 1400 x 400 column with 4 B12 barsAbout Y axisAbout Z axisSLENDERNESSColumn is bracedColumn is bracedClear height, L1725mm1400Rotational stiffness, k1Max[0.1, EI/lcols/(EI/lbeams)]5.8.3.2(3)Rotational stiffness, k2(=2 braced, or 4 unbraced)Effective length, l0Exp (5.15) braced or (5.16) unbraced1725mm14005.8.3.2(3)Radius of gyration, iincluding reinforcement117.3mm117.35.8.3.2(1)Slenderness ratio, l0/i14.711.9Reinforcement ratio, Asfyd/(Acfcd)0.0680.0685.8.3.1Relative normal force, nNEd/(Acfcd)0.6200.6205.8.3.1Limiting slenderness, limExp (5.13N)52.757.1Slenderness condition > lim ?ShortShortBUCKLINGNEd =1800kNAt maximum MOR, nbalfrom charts0.4380.4385.8.8.3(3)Axial correction factor, Kr(nu - n)/(nu - nbal)0.7100.710Eqn (5.36)Creep adjust factor, 0.35 + fck/200 - / 1500.4120.4305.8.8.3(4)Creep effect factor, K1 + ef 11.4981.521Eqn (5.37)Basic curvature, 1/r0fyd /(0.45d.Es)0.0136/mm0.01365.8.8.3(1)Curvature, 1/rKrK1/r00.01444/mm0.01466Eqn (5.34)Curvature distribution, c8 if M0 costant, otherwise 9.8709.8705.8.8.2(4)Deflection, e2(1/r)l0 /c0.0044mm0.00295.8.8.2(3)Second order moment, M2NEde2 if short, otherwise 00.00kNm0.00Eqn (5.33)IMPERFECTIONSInclination, iMin[1,Max(, 2/l)]00.00500.0050Eqn (5.1)Imperfection M, MimpiNEdl0/27.76kNm6.30Eqn (5.2)MOMENTSFirst order end M, M01lesser of end moments14.00kNm2.30First order end M, M02greater of end moments19.50kNm2.50Equivalent end M, M0e0.6M02 + 0.4M017.80kNm1.00Eqn (5.32)Minimum moment, MminMax(20, h/30)NEd36.00kNm0.006.1(4)Mimp only added on critical axisFinal design M, MEdMax[Mmin,max(M02+M2/2,M0e+M2)+Mimp]36.00kNm8.80Eqn (5.33)BIAXIAL CHECKSection MOR, MRdfrom charts, with NEd = 1800158.39kNm158.39Relative force, nNEd /(Acfcd + Asfyd) =0.576Exponent, aIf{n