Age of concrete at the time time of loading,t 0 = 10 Age of concrete in days at the moment considered, considered, t = 28 Grade of concrete = M50 Mean com)ressive strength strength of concrete at age of 28 days,f cm = 60 Relative humidity,R = !0 "otional si#e of mem$er,h = 1000
( )
0 .7
43.75
*oefficient, *oefficient, +1 =
f cm
0%802
( ) 43.75
*oefficient, *oefficient, +2 =
0 .2
f cm
0%&'&
( ) 43.75
*oefficient, *oefficient, +' =
0 .5
f cm
0%85( *ree) coefficient ft,to- = ϕ o β c ( t,t o ) = 0.4642 fo = ϕ RH . β ( f cm ) . β ( t o )
= .actor to allo/ for the effect of R on notional cree) coeff, fR= =
1%6!6 1+
[
1 −RH/100 0 . 1 √ h o 3
1+
=
1− RH / 100 0. 1
3
√ ho
1%165
.actor to allo/ for the effect of concrete strength on notional cree) coeff,f cm-= 18%!8f cm = 2%(2( .actor to allo/ for the effect of concrete age at loading on notional cree) coeff,t o-= 10%13t o0%2 = 0%5&( coefficient to descri$e the develo)ment of cree) /ith time after loading, ct,to-= =
[
(t
−
t 0 )
β H + t −t 0
0%2!! 1%54130%0 *oefficient, *oefficient, = 1%54130%0 = 1280 1280%86& %86& 21'%(!81
]
0. 3
]
. α 1 α 2
Manual calculations ime ct,to- *ree) coe 1(%0! 0%1!!& 0%2&81(0 1&%81 0%2'1' 0%'8!6!0 2!%88 0%2!65 0%(6'2&! '&%2( 0%'1&6 0%5'5560 55%2' 0%'6'0 0%608222 !!%!' 0%(0!6 0%68'08! 10&%( 0%(5(2 0%!61086 15'%&! 0%502! 0%8(2(!8 216%! 0%55'2 0%&26&!0 '0(%&& 0%60(& 1%01'66' (2&%26 0%65!1 1%101051 60(%15 0%!08( 1%18!06' 850%'1 0%!5!5 1%26&'0' 11&6%!5 0%8028 1%'(5''! 168(%'5 0%8('' 1%(1'1'5 2'!0%62 0%8!81 1%(!1(01 '''6%5 0%&06& 1%51&!'' (6&5%&1 0%&'01 1%558558 660&%1& 0%&(82 1%5888&5 &'02%02 0%&620 1%612062 1'0&2%01 0%&!2( 1%62&('( 18(26%1! 0%&800 1%6(22!!
day days Ma 7 mm
( ) 43.75
0 .7
f cm
( ) 43.75
0 .2
f cm
( ) 43.75
0 .5
f cm
ϕ o β c ( t,t o )
ϕ RH . β ( f cm) . β ( t o )
1+
[
1 −RH/100
.or f cm = (5 Ma
0 . 1 √ h o 3
1+
[
25&''%6! 0%&856 '6500 0%&8&!
1− RH / 100
( t
3
0. 1
√
t 0 )
]
−
β H + t −t 0
ho
]
. α 1 α 2
.or f cm 9 (5
Ma
0. 3
2R-18:ho3250 = 1500, for fcm = (5 2R-18:ho3250+' = 1500+ ', for fcm 9 (5
1%6516!0 1%658(86
Manual cal Midas;
25&''%6! 1.667E+00 1.66E+00 '6500 1.674E+00
1.65E+00
otal hrin@age strain, εcs = Autogenous hrin@age strain, εca = Basic drying shrin@age strain,
εcd%0 =
εcd3εca
!%50;05 .or M50-
[
0.85 ( 220 +110. α ds1) .exp
= '%2115;0( R = = f cm = f cmo = +ds1 = +ds2 = R> = Age of concrete at the $eginning of shrin@age,t s = h= @h = Manual *alculations t, days
ast-
1(%0! 1&%81 2!%88 '&%2( 55%2' !!%!' 10&%( 15'%&! 216%! '0(%&& (2&%26 60(%15 850%'1 11&6%!5 168(%'5 2'!0%62 '''6%5 (6&5%&1 660&%1& &'02%02 1'0&2%01 18(26%1! 25&''%6! '6500
0%52!! 0%58&( 0%6522 0%!1(' 0%!!'8 0%8285 0%8!65 0%&16( 0%&(!( 0%&6&6 0%&8(1 0%&&2! 0%&&!1 0%&&&0 0%&&&! 0%&&&& 1%0000 1%0000 1%0000 1%0000 1%0000 1%0000 1%0000 1%0000
εcat-
'%&6;05 (%(2;05 (%8&;05 5%'6;05 5%80;05 6%21;05 6%5!;05 6%8!;05 !%11;05 !%2!;05 !%'8;05 !%(5;05 !%(8;05 !%(&;05 !%50;05 !%50;05 !%50;05 !%50;05 !%50;05 !%50;05 !%50;05 !%50;05 !%50;05 !%50;05
dst,ts0%0086!6 0%01'115 0%01&2& 0%02!852 0%0'&65( 0%055!8( 0%0!!5& 0%106626 0%1((528 0%1&2!'1 0%25205 0%'221(& 0%(011(6 0%(85528 0%5!06!2 0%651!82 0%!2(&2( 0%!8!68& 0%8'&2&! 0%880261 0%&118!! 0%&'5!52 0%&5'(88 0%&6650'
εdst-
1%&5;06 2%&5;06 (%'(;06 6%26;06 8%&1;06 1%25;05 1%!(;05 2%(0;05 '%25;05 (%'';05 5%6!;05 !%2(;05 &%02;05 1%0&;0( 1%28;0( 1%(!;0( 1%6';0( 1%!!;0( 1%8&;0( 1%&8;0( 2%05;0( 2%10;0( 2%1(;0( 2%1!;0(
1.55
[ ( )] RH 1− RHO
1%018 60 12%5 ( 0%12 100 ' 1000 0%! εcst-
(%15;05 (%!2;05 5%'2;05 5%&8;05 6%6&;05 !%(!;05 8%'2;05 &%2!;05 1%0(;0( 1%16;0( 1%'0;0( 1%(!;0( 1%65;0( 1%8(;0( 2%0';0( 2%22;0( 2%'8;0( 2%52;0( 2%6(;0( 2%!';0( 2%80;0( 2%85;0( 2%8&;0( 2%&2;0(
3
Ma Ma .or "orm .or "orm 7 ?ays mm
(
α ds2
−
f cm f cmo
)]
. 10
−
0 . α ds1) .exp
(
α ds2
−
f cm f cmo
)]
. 10
6
−
. β RH
h
l cementl cement-
Manual cal shri@age strain
ime 1(%0! 1&%81 2!%88 '&%2( 55%2' !!%!' 10&%( 15'%&! 216%! '0(%&& (2&%26 60(%15 850%'1 11&6%!5 168(%'5 2'!0%62 '''6%5 (6&5%&1 660&%1& &'02%02 1'0&2%01 18(26%1! 25&''%6! '6500
@h 100 200 '00 500
1 0%85 0%!5 0%!
500 500
0%! 0%!
Midas;
shri@age strain
4.15E-05 1%(1301 -4.15E-05 4.72E-05 1%&8301 -4.72E-05 5.32E-05 2%!&301 -5.32E-05 5.98E-05 '%&2301 -5.98E-05
55%2' -6.69E-05 7.47E-05 !!%!' -7.47E-05 8.32E-05 10&%( -8.32E-05 9.27E-05 15'%&! -9.27E-05 1.04E-04 216%! -1.04E-04 1.16E-04 '0(%&& -1.16E-04 1.30E-04 (2&%26 -1.30E-04 1.47E-04 60(%15 -1.47E-04 1.65E-04 850%'1 -1.65E-04 1.84E-04 11&6%!5 -1.84E-04 2.03E-04 168(%'5 -2.03E-04 2.22E-04 2'!0%62 -2.22E-04 2.38E-04 '''6%5 -2.38E-04 2.52E-04 (6&5%&1 -2.52E-04 2.64E-04 660&%1& -2.64E-04 2.73E-04 &'02%02 -2.73E-04 2.80E-04 1'0&2%01 -2.80E-04 2.85E-04 18(26%1! -2.85E-04 2.89E-04 25&''%6! -2.89E-04 2.92E-04 '6500 -2.92E-04
6.69E-05
