mathcad - fc age.mcd
DESCRIPTION
Mathcad - Fc Age.mcdTRANSCRIPT
FcEHE t( ) Fc2 t( ) Sets 1=if
Fc1 t( ) otherwise
:=
Fc2 t( ) linterp ages fc2s, t,( ):=Fc1 t( ) linterp ages fc1s, t,( ):=
EHE table 30.4.bfc2s
0.55
0.75
1
1.15
1.2
fc28⋅:=fc1s
0.4
0.65
1
1.2
1.35
fc28⋅:=ages
3
7
28
90
360
day⋅:=
not wholly coherent, see
fc 28 day⋅( ) 352.52kgf
cm2
=according to Bransonfc t( )
t
day
α βt
day⋅+
fc28⋅:=
month, year (singular) also permitted units for timeEnd_chart 1 year⋅:=
Sets 1:= 1 for quick setting of concrete (42.5R, 52.5 and 52.5R with w/c less than 0.60, 32.5R and 42.5 with w/c less than 0.50)0 for normal or slow setting of concrete
strength at 28 days
β 0.85:=α 4:=fc28 350
kgf
cm2
⋅:= ββββ=0.85 for cement Type I and moist curingββββ=0.92 for cement Type III and moist curingββββ=0.95 for cement Type I and steam curingββββ=0.98 for cement Type III and steam curing
αααα=4.00 for cement Type I and moist curingαααα=2.30 for cement Type III and moist curingαααα=1.00 for cement Type I and steam curingαααα=0.70 for cement Type III and steam curing
fc_age expected strength of a concrete as a function of age and strength at 28 days of age
FcEP_93 t( ) fc28
t
day
0.75
t
day
0.75
5.5+
280.75
280.75 5.5+
⋅:= commentary to art. 35.9
Parts 200:=
j 1 Parts 1+..:= Fc j fcEnd_chart
Partsj 1−( )⋅
:= Time jEnd_chart
Partsj 1−( )⋅:=
FcQj Fc2 Time j( ):= FcS j Fc1 Time j( ):= FcEP j FcEP_93 Time j( ):=
Compressive strength as a function of age, Branson's
0 50 100 150 200 250 300 3500
100
200
300
400
500
Fc j
kgf
cm2
Time j
day
1 10 100 1 .1030
100
200
300
400
500
Fc j
kgf
cm2
Time j
day
Compressive strength as a function of age, EHE Table 30.4.bConcrete that sets quickly
0 50 100 150 200 250 300 3500
100
200
300
400
500
FcQj
kgf
cm2
Time j
day
Compressive strength as a function of age, EHE Table 30.4.b
Concrete that sets slowly
0 50 100 150 200 250 300 3500
100
200
300
400
500
FcSj
kgf
cm2
Time j
day
Compressive strength as a function of age, EP-93 comm. to 35.9
0 50 100 150 200 250 300 3500
1 .107
2 .107
3 .107
4 .107
5 .107
FcEP j
Time j
day
1 10 100 1 .1030
1 .107
2 .107
3 .107
4 .107
5 .107
FcEP j
Time j
day
Compressive strength as a function of age, comparative chart
EP-93 commentary to 35.9 more consistent with quick settings as proper of prestressed concrete
FcEP_93 t( ) 4.57ksi=FcEP_93 t( ) 31.51MPa=FcEP_93 t( ) 321.3kgf
cm2
=
EHE code (linear interpolation between given points,pertaining to the line representing setting time)
FcEHE t( ) 4.5ksi=FcEHE t( ) 31.05MPa=FcEHE t( ) 316.67kgf
cm2
=
fc t( ) 4.74ksi=fc t( ) 32.69MPa= Branson's, in redfc t( ) 333.33kgf
cm2
=t 20 day⋅:=
Prediction of compressive strength at given age
fc28 350kgf
cm2
=
1 10 100 1 .1030
100
200
300
400
500
Fc j
kgf
cm2
FcEP j
kgf
cm2
Time j
day
0 50 100 150 200 250 300 3500
100
200
300
400
500
Fc j
kgf
cm2
FcQj
kgf
cm2
FcSj
kgf
cm2
FcEP j
kgf
cm2
Time j
day