1.READMEC660 - Estimation of drying shrinkage according to EN1992-1-1This calculator estimates the drying shrinkage using the expressions and relationships given in EN1992-1-1, Section 3.1.4The method is described in detail in Appendix A3PAGE 2 DRYING SHRINKAGEConcrete mix detailsStrength classThis is selected from a drop-down menuCement classThree options are available from a drop-down menu S (slow), N (normal) and R (rapid)Ambient conditionsRelative humidity%The average relative humidity over the period consideredNominal unrestrained drying shrinkage cd,0The ultimate drying shrinkage achievable for the combination of concrete type and relative humiditySection geometrySection thicknessmmExposed facesIn most cases drying will be from either one of two of the faces. These options are givenNotional thickness h0mmThe notional thickness h0 = Ac/u where Ac is the concrete cross sectional area and u is the perimeter of that part of the concrete that is exposed to drying. For walls or slabs the thickness h is normally small in relation to the other dimensions and h0 approximates to h when drying is from both faces and 2h when drying is from one face only.Coefficient khkh is a function of h0 and is given in Table 3.3 of EN1992-1-1Ultimate drying shrinkage = kh cd,0The ultimate drying shrinkage achievable for the combination of concrete type, relative humidity and notional section thicknessEnd of curing period tsdaysIt is assumed that shrinkage begins at the end of the curing periodDrying shrinkage at time t, cd(t)= ds(t,ts) kh cd,0The time function ds( t, ts) = (t - ts)/{(t - ts) + 0.04ho3}. EN1992-1-1 notes that the estimated value of drying shrinkage has an expected coefficient of variation of 30%.

2.Drying shrinkageEN1992-1-1 Estimation of drying shrinkageLookup table for khDrying shrinkage calculationsCalculator coefficientsDrying facesCoordinates for shrinkage at selected ageCells for input dataDaysYearsds(t-ts)cd(t)S30.1313650166H0 (mm)kh9N40.1223658643866Strength classC40/50MPa701.045100.02740.00110.2578R60.11Cement classR751.038110.03010.00220.5150Selected60.11Average ambient relative humidity80%801.030120.03290.00330.7717Nominal unrestrained drying shrinkage cd,0334microstrain851.023130.03560.00441.0278Section thickness400mm901.015140.03840.00551.2833fckfck,cubefcmNumber of exposed faces1961.008150.04110.00661.5383C16/20162024Notional size h0800mm1001.000160.04380.00771.7927C20/25202528Coefficient, kh0.701100.985230.06300.01523.5580C25/30253033Ultimate drying shrinkage234microstrain1200.970300.08220.02275.2967C30/37303738End of curing period9days1300.955300.08220.02275.2967C35/45354543Drying shrinkage at365days66microstrain1400.940370.10140.03007.0093C40/504050481500.925440.12050.03728.6964C45/554555531600.910510.13970.044310.3585C50/605060581700.895600.16440.053312.4598C55/675567631800.880670.18360.060214.0670C60/756075681900.865740.20270.067015.6510C70/807058782000.850810.22190.073717.2123C80/908095882100.835880.24110.080318.7514C90/10590105982200.822900.24660.082119.1871Selected4050482300.8101200.32880.109225.51712400.7991500.41100.134831.48412500.7881800.49320.158937.11832600.7792100.57530.181742.44702700.7702400.65750.203347.49422800.7632700.73970.223852.28172900.7563000.82190.243356.82903000.7503300.90410.261861.15393100.7443651.00000.282365.93943200.7383951.08220.299069.83493300.7334251.16440.314973.55333400.7294551.24660.330177.10673500.7254851.32880.344780.50573600.7215151.41100.358683.76013700.7175451.49320.371986.87913800.7155751.57530.384789.87093900.7136051.65750.397092.74304000.7106351.73970.408995.50264100.7096651.82190.420298.15624200.7076951.90410.4311100.70974300.7067302.00000.4434103.56974400.7058202.24660.4726110.38824500.7049102.49320.4989116.52724600.70310002.73970.5227122.08354700.70310902.98630.5443127.13614800.70211803.23290.5640131.75074900.70112703.47950.5822135.98185000.70013603.72600.5988139.875414503.97260.6142143.470215404.21920.6285146.799416304.46580.6417149.891417204.71230.6540152.770618104.95890.6655155.458419905.45210.6864160.330921705.94520.7048164.631423506.43840.7212168.454925306.93150.7358171.876727107.42470.7490174.956828907.91780.7609177.744130708.41100.7718180.278432508.90410.7817182.592634309.39730.7908184.714336109.89040.7991186.6665379010.38360.8069188.4686397010.87670.8140190.1375415011.36990.8206191.6873433011.86300.8268193.1303451012.35620.8326194.4773469012.84930.8380195.7374487013.34250.8430196.9189505013.83560.8478198.0288523014.32880.8523199.0735541014.82190.8565200.0586559015.31510.8605200.9890577015.80820.8642201.8691595016.30140.8678202.7030613016.79450.8712203.4942631017.28770.8744204.2458649017.78080.8775204.9608667018.27400.8804205.6417703519.27400.8859206.9277740020.27400.8909208.1005776521.27400.8955209.1744813022.27400.8997210.1615849523.27400.9036211.0719886024.27400.9072211.9141922525.27400.9106212.6956959026.27400.9137213.4227995527.27400.9166214.10091032028.27400.9193214.73491068529.27400.9218215.32901105030.27400.9242215.88681141531.27400.9265216.41151178032.27400.9286216.90601214533.27400.9306217.37281251034.27400.9325217.81411287535.27400.9343218.23211324036.27400.9360218.62851360537.27400.9376219.00501397038.27400.9391219.36291433539.27400.9406219.70371470040.27400.9420220.02861506541.27400.9433220.33861543042.27400.9446220.63471579543.27400.9458220.91791616044.27400.9469221.18901652545.27400.9480221.44871689046.27400.9491221.69771725547.27400.9501221.93671762048.27400.9511222.16631798549.27400.9521222.38711835050.27400.9530222.59942200060.27400.9605224.35062565070.27400.9659225.62022930080.27400.9700226.58293295090.27400.9733227.33793649599.98630.9758227.9301

2.Drying shrinkage111

Time (days) - log scaleShrinkage (microstrain)

Sheet14104064000.1269841274200.13333333330.420.442800.08888888892730.0866666667275172.21771201471450.34523809523604200.450.42313.2365.41800.18176.40.17640.3069841270.30973333330.26888888890.26306666670.87590486040.8493327594