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2010 NRMCA - National Ready Mixed Concrete Association

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Appendix A – Calculation of Strength VariationFrom Water Content VariationThe ACI 211 table of strength versus w/cm for non air-entrainedconcrete and the best-fit straight line has been plotted below.The slope is -9600 psi. The following table shows the calculatedchange in strength (based on the straight line equation) for a onepound change in cement content for concrete with a water contentof 300 lb/yd 3 and for different target w/cm values. The numberswould be slightly higher for lower water content.w/cm Change in Strength, psi/lb of cement0.4 50.5 80.6 120.7 16It is seen that the strength change for a change in one pound ofcement is 8-12 psi for concrete in the 4000 to 5000 psi range andfor w/cm of 0.50 to 0.60.Using the straight line equation, the percentage change instrength for a ±5% change in cement content for concretes for agiven water content is calculated and is shown below:w/cm Change in Strength, %0.4 3.3%0.5 4.9%0.6 7.4%0.7 11.4%Thus it is clear that a 5% change in cement content will result ina 5% change in compressive strength only around w/cm of 0.50.A similar situation occurs when the variation in strength is calculatedfor variation of water-content with the cement held constantat the target cement content. If the water content varies 5% fromthe target value, the strength variation will depend on the w/c andalso slightly on the target value of the water content. From the tablebelow it becomes clear that a 5% change in water content will resultin a 5% change in compressive strength only around w/cm of 0.50.32 ı JANUARY/FEBRUARY 2011Variation in Strength at Different Water Contentsw/cm 280 lbs 300 lbs 310 lbs0.4 3.1% 3.3% 3.4%0.5 4.6% 4.9% 5.1%0.6 6.9% 7.4% 7.6%0.7 10.6% 11.4% 11.8%Higher w/cm concrete mixtures appear to be more vulnerableto cement and water content variations as compared to lower w/cm concrete mixtures. A given percent change in cement or watercontents does not lead to the same percent change in compressivestrength because strength is related inversely to water-cementitiousratio and not directly to cement or water content as commonlyassumed.■Who to Call at(301) 587-1400TOLL-FREE: 1 (888) 846-7622<strong>NRMCA</strong>LOCAL:WEB SITE: www.nrmca.orgCODES AND SUSTAINABILITYErin Ashley, Ph.D., LEED AP(240) 485-1306eashley@nrmca.orgCOMMUNICATIONSFrank Cavaliere(240) 485-1141fcavaliere@nrmca.orgCONCRETE PROMOTIONGlenn Ochsenreiter(240) 485-1140gochsenreiter@nrmca.orgDan Huffman(503) 292-7729dhuffman@nrmca.orgJon Hansen(515) 266-1058jhansen@nrmca.orgPhil Kresge(610) 966-7220pkresge@nrmca.orgDoug O’Neill, LEED AP(585) 436-8310doneill@nrmca.orgVance Pool(281) 557-8415vpool@nrmca.orgAmy Miller, P.E.(904) 264-8850amiller@nrmca.orgENGINEERINGColin Lobo Ph.D., P.E.(240) 485-1160clobo@nrmca.orgLionel Lemay, P.E., S.E., LEED AP(847) 918-7101llemay@nrmca.orgKarthik Obla, Ph.D., P.E.(240) 485-1163kobla@nrmca.orgREGULATORY AFFAIRSGary Mullings(240) 485-1161gmullings@nrmca.orgFINANCIAL ACTIVITIESMichael Olivarri, CPA(240) 485-1130molivarri@nrmca.orgNick Muzzatti(240) 485-1131nmuzzatti@nrmca.orgTamara Waugh(240) 485-1132twaugh@nrmca.orgGOVERNMENT AFFAIRSKerri Leininger(240) 485-1159kleininger@nrmca.orgKevin Walgenbach(240) 485-1157kwalgenbach@nrmca.orgINDUSTRY RELATIONSNicole Maher(240) 485-1158nmaher@nrmca.orgINFORMATION TECHNOLOGYLawrence Afable(240) 485-1167lafable@nrmca.orgJake Zhu(240) 485-1144jzhu@nrmca.orgMARKETINGGlenn Ochsenreiter(240) 485-1140gochsenreiter@nrmca.orgGillian McBurney(240) 485-1166gmcburney@nrmca.orgMEETINGSNicole Maher(240) 485-1158nmaher@nrmca.orgJessica Moore(240) 485-1152jmoore@nrmca.orgMEMBERSHIPKathleen Carr-Smith(240) 485-1145kcarrsmith@nrmca.orgKimberly Pittmon(240) 485-1146kpittmon@nrmca.orgOFFICE OF THE PRESIDENTRobert Garbini, P.E., President(240) 485-1139rgarbini@nrmca.orgDeana Angelastro(240) 485-1138dangela@nrmca.orgOPERATIONS/EQUIPMENTMAINTENANCEGary Mullings(240) 485-1161gmullings@nrmca.orgPUBLICATIONSJacques Jenkins(240) 485-1165jjenkins@nrmca.orgRMC RESEARCH & EDUCATIONFOUNDATIONJulia Garbini(240) 485-1150jgarbini@rmc-foundation.orgJennifer LeFevre(240) 485-1151jlefevre@rmc-foundation.orgSAFETYDavid Ayers, CHMM, CSP, MS(240) 485-1155dayers@nrmca.orgGary Mullings(240) 485-1161gmullings@nrmca.orgTRAINING/EDUCATION/CERTIFICATIONEileen Dickson(240) 485-1164edickson@nrmca.orgShawnita Dickens(240) 485-1154sdickens@nrmca.org

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