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Spreadsheet Title:
Last Revision Date:
Project
Job No.
Subject
Sheet No.
Made By
Date Made
hec!ed By
Date hec!ed
o""ents
#$%$&''%
Spreadsheet Instructions
Color coding
()*N shadin+,(L-/T R00N shadin+,
(red border,
(yello1 shadin+,
Functions
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Disclaimer
Spreadsheet Revision Hi
#$&&$&''% (ver. '.#,
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reep alculation2 ver. '.#
#$&&$&''%
333*ll blue 4ields are used 4or input.333
by o!
Test proble" 4or 5sta+ed construction 6 various scenarios 4or 76story buildin+5
o!
&$%$&''%
reated by o!
8isit
4or detailed in4or"ation about this test proble"
Macros must be enabled to obtain full functionality of this spreadsheet.
9sers input.ell 1hose content 1as copied to adjacent cells *S ;
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;unction reepoe44At' *s Double2 t *s DoubleC
;unction Deltareepoe44At' *s Double2 tbe+ *s Double2 tend *s DoubleC
;unction Shrin!a+eStrainAts *s Double2 t *s DoubleC
;unction DeltaShrin!a+eStrainAts *s Double2 tbe+ *s Double2 tend *s DoubleC
tory
;irst version o4 the creep calculation spreadsheet.
;our 8B* 4unctions listed belo1 are de4ined in this spreadsheet to calculate the creepcoe44icient and shrin!a+e strain. See co""ents 1ithin the 8B* code 4or additionaldetails.
This spreadsheet 1as created in the hope that it 1ill be use4ul2 but is distributed1ithout any 1arranty 4ro" the author and it is intended solely 4or illustration purporses.
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Calculate creep coefficient based on CE!FI" Model Code #$
Material properties and creep para"eters These para"eters are u
&&7'''' *rea o4 the concrete "e
%%'' MPa Modulus o4 elasticity o4
7F MPa 9sed only to calculate 4
FI MPa Mean co"pressive stre
#' MPa ode constant
h G 7' ""
#'' "" ode constant
R/ G F' K Relative hu"idity o4 the
#'' K ode constant
# day ode constant
#E.'I#E
reep coe44icient calculations
days *+e o4 structure 1hen l
t G #I days *+e o4 structure 1hen c
$.%#%$ &!' Calculated creep coef
#.%&'# (6, Notional creep coe44icie
#.III& (6,
&.'%7' (6,
'.FIF (6,
'.&'I (6,
creep coe44icient via 8B* 4unction G 8*L90 creep coe44icient calcula
reep coe44icient +raph
*cG ""&
0ciG
4c!
G
4c"
G
4c"'
G
Notional sie o4 "e"be
1here *cis cross6sect
h'G
R/'G
t#G
O/G #7' (#H A#.& R/$R/
'C#E, h$h
'H &7' G
t'G
-t/ t$0 1 -
$2
ct!t
$0 1
Q'G Q
R/OA4
c"C OAt
'C G
QR/
G # H (#6R/$R/', $ ('.IF Ah $ h
'CA#$C, G
OA4c"
C G 7. $ A4c"
$4c"'
C'.7 G
OAt'C G # $ ('.# H At
'$t
#C'.&,
OcAt6t
'C G At6t
'C$t
#$ (O
/H At6t
'C$t
#, '. G
Recalculate
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' &''' I''' F''' E'''
'
&
I
F
E
#'
#&
reep oe44icient
3ime days0
Creep
Coefficient
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sed 4or 4unctions de4ined in the spreadsheet.
"ber
oncrete at the a+e o4 &E days
" as 4c" G 4c! H E AMPaC
+th o4 concrete at the a+e o4 &E days.
a"bient environ"ent.
ad is applied
reep de4lection is calculated #I
icient &E(. ).*!+,'
t
ted usin+ 8B* 4unction
r2 h G & *c$ u
ion area and u is peri"eter o4 "e"ber in contact 1ith ath"osphere
t'G
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t creep coe44
#I 8*L90
&E 8*L90
7F 8*L90
#'' 8*L90&'' 8*L90
7'' 8*L90
#''' 8*L90
&''' 8*L90
7''' 8*L90
#'''' 8*L90
#'''' #&'''
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Calculate shrin4age strain based on CE!FI" Model Code #$
Material properties and shrin!a+e para"eters These par
R/ G F' K relative hu
#'' K code const
h G 7' ""
#'' "" code const
# day code const
FI MPa "ean co"
#' MPa code const
Shrin!a+e strain calculations
t G #I days a+e o4 con
days a+e o4 con
!$.$$$$$5 &!' calculated
6'.'''7&I (6, notional sh
'.'''&%'
7 (6, coe44icient6 use I 4
6 use 7 4
6 use E 4
6#.&
6#.&
'.EI (6,
'.&7 (6,
'.'#EE7&E (6, coe44icient
shrin!a+e strain via 8B* 4unction G 8*L90 shrin!a+e
Shrin!a+e strain +raph
R/'G
Notional si
1here *c
Ata!en 4r
h'G
t#G
4c"
G
4c"o
G
tsG
7cs
t/ts0 1 7
cso8 2
st!t
s0 1
cso
G sA4
c"C 3 O
R/G
sA4
c"C G ( #F' H #' O
sc3 A% 6 4
c"$4
c"oC , 3 #'6F G
OscG
OR/
G OR/#
or OR/&
G use OR/#
4o
OR/#
G 6#.77 OsR/
G
OsR/
G # 6 AR/$R/'C G
OR/&
G H '.&7 G
OsAt6t
sC G ( At6tsC$t# , $ ( 7'Ah$h'C& H At 6 tsC$t# , '.7 G
Shrin4a e Strain
Recalculate
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' &''' I''' F''' E'''
'
&
I
F
E
#'
#&
3ime days0
Sh
rin4ageStrain
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"eters are ta!en 4ro" the 5reep5 tab and are used 4or 4unctions in this spreadsheet
idity o4 the a"bient environ"ent Ata!en 4ro" creep calculationsC
ant Ata!en 4ro" creep calculationsC
ant Ata!en 4ro" creep calculationsC
ant Ata!en 4ro" creep calculationsC
ressive stren+th o4 concrete at the a+e o4 &E days Ata!en 4ro" creep calculationsC
ant Ata!en 4ro" creep calculationsC
rete
rete at the be+innin+ o4 shrin!a+e or s1ellin+
total shrin4age or s6elling strains
rin!a+e coe44icient
1hich depends on the type o4 ce"ent:r slo1ly hardenin+ ce"ent2 SL
r nor"al or rapid hardenin+ ce"ents N and R
r rapid hardenin+ hi+h stren+ht ce"ents RS
to describe develop"ent o4 shrin!a+e 1ith ti"e
train calculated via 8B* 4unction
ts G
e o4 "e"ber2 h G & *c$ u
is cross6section area and u is peri"eter o4 "e"ber in contact 1ith ath"osphere
" creep calculationsC
r I'K UG R/ U %% and OR/&
4or R/ VG%%K
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t shrin!a+e strain
8*L90
&E 8*L90
7F 8*L90
#'' 8*L90
&'' 8*L90
7'' 8*L90#''' 8*L90
&''' 8*L90
7''' 8*L90
#'''' 8*L90
#'''' #&'''
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9erify S:")$$$ results for ;
6 creep not considered
6 ne1ly added joints are placed to unde4or"ed position
De4or"ation o4 # story due to applied load G '.'&'F' ""A4ro" 5AD0;C L
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'.'&'F'
'.'&'F'
'.'&'F'
'.'&'F'
'.'&'F' '.'&'F'
'.'&'F' '.'&'F'
'.'&'F' '.'&'F'
'.'&'F' '.'&'F'
'.'''''' '.'&'F'
'.#FIE7 '.#''7
Joint I Aadd allde4or"ations o4stories #6I a4terstory is erectedC
Joint 7 Aadd allde4or"ations o4stories #67 a4terstory I is erectedC
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9erify S:")$$$ results for ;DEF0
6 creep not considered
6 ne1ly added joints are placed to de4or"ed position2 usin+ +host structure
De4or"ation o4 # story due to applied load G '.'&'F' ""A4ro" 5AD0;C L
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r 5AD0;C L
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9erify S:")$$$ results for ;
6 creep considered
6 ne1ly added joints are placed to unde4or"ed position
creep related da
reep onlyW
(days, (days,
Sta+e # A6#IC # # # 5 5
Sta+e & A#I6C & # # creep only #I& & # *, *,
& & & 5 5
Sta+e A&EC # # creep only
& # creep only #I
& & creep only #I
# )* )*
& *, *,
5 5
Sta+e I A&E67C I # # creep only &E
I & # creep only #I &E
I & & creep only
I # creep only &EI & creep only #I
I creep only #I
I I # )@ )@
I I & )* )*
I I *, *,
I I I 5 5
Sta+e 7 A76I&C 7 # # creep only 7
7 & # creep only #I 7
7 & & creep only &E
7 # creep only 7
7 & creep only #I &E
7 creep only I # creep only &E 7
7 I & creep only &E
7 I creep only #I
7 I I creep only #I
7 7 # %A %A
7 7 & )@ )@
7 7 )* )*
7 7 I *, *,
Sta+e Na"e Astartday 6 end dayC
Sta+e Nu"berAcorresponds tostory added 4or
sta+es #67C
Joint$story at1hich load is
applied:
Load causesde4or"ation
o4 story:
t' Aa+e atti"e 1henthe load isappliedC
tbe+ Aa+eat start o4
sta+eC
Recalculate
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7 7 7 5 5
Sta+e F AI&6X#%'C F # # creep only I&
F & # creep only #I I&
F & & creep only 7
F # creep only I&
F & creep only #I 7
F creep only &E
F I # creep only &E I&
F I & creep only 7
F I creep only #I &E
F I I creep only
F 7 # creep only 7 I&
F 7 & creep only &E 7
F 7 creep only &E
F 7 I creep only #I
F 7 7 creep only #I
story
# 8*L90 8*L90
& 8*L90 8*L90
8*L90 8*L90
I 8*L90 8*L90
7 8*L90 8*L90
Double chec! 5L
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a story de4or"ation calculate displace"ents 4or joints #67 A
elastic creep total
(days, ("", ("", ("",
#I 8*L90 '.'&'F 8*L90 8*L90 8*L90
8*L90 '.'''' 8*L90 8*L90 8*L90 8*L90 8*L90 '.'&'F 8*L90 8*L90 8*L90 8*L90
#I 8*L90 '.'&'F 8*L90 8*L90 '.'''''' 8*L90
&E 8*L90 '.'''' 8*L90 8*L90 8*L90 8*L90
&E 8*L90 '.'''' 8*L90 8*L90 8*L90 8*L90
8*L90 '.'''' 8*L90 8*L90 '.'''''' 8*L90
&E 8*L90 '.'&'F 8*L90 8*L90 8*L90 8*L90
8*L90 '.'&'F 8*L90 8*L90 '.'''''' 8*L90
#I 8*L90 '.'&'F 8*L90 8*L90 '.'''''' '.''''''
7 8*L90 '.'''' 8*L90 8*L90 8*L90 8*L90
7 8*L90 '.'''' 8*L90 8*L90 8*L90 8*L90
&E 8*L90 '.'''' 8*L90 8*L90 '.'''''' 8*L90
7 8*L90 '.'''' 8*L90 8*L90 8*L90 8*L90&E 8*L90 '.'''' 8*L90 8*L90 '.'''''' 8*L90
8*L90 '.'''' 8*L90 8*L90 '.'''''' '.''''''
7 8*L90 '.'&'F 8*L90 8*L90 8*L90 8*L90
&E 8*L90 '.'&'F 8*L90 8*L90 '.'''''' 8*L90
8*L90 '.'&'F 8*L90 8*L90 '.'''''' '.''''''
#I 8*L90 '.'&'F 8*L90 8*L90 '.'''''' '.''''''
I& 8*L90 '.'''' 8*L90 8*L90 8*L90 8*L90
I& 8*L90 '.'''' 8*L90 8*L90 8*L90 8*L90
7 8*L90 '.'''' 8*L90 8*L90 '.'''''' 8*L90
I& 8*L90 '.'''' 8*L90 8*L90 8*L90 8*L90
7 8*L90 '.'''' 8*L90 8*L90 '.'''''' 8*L90
&E 8*L90 '.'''' 8*L90 8*L90 '.'''''' '.''''''I& 8*L90 '.'''' 8*L90 8*L90 8*L90 8*L90
7 8*L90 '.'''' 8*L90 8*L90 '.'''''' 8*L90
&E 8*L90 '.'''' 8*L90 8*L90 '.'''''' '.''''''
8*L90 '.'''' 8*L90 8*L90 '.'''''' '.''''''
I& 8*L90 '.'&'F 8*L90 8*L90 8*L90 8*L90
7 8*L90 '.'&'F 8*L90 8*L90 '.'''''' 8*L90
&E 8*L90 '.'&'F 8*L90 8*L90 '.'''''' '.''''''
8*L90 '.'&'F 8*L90 8*L90 '.'''''' '.''''''
tend Aa+eat end o4
sta+eC
delta rhoAcreep
coe44icientC
Joint # Aadd allde4or"ations o4story #C
Joint & Aadd allde4or"ations o4stories # and &a4ter story # iserectedC
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#I 8*L90 '.'&'F 8*L90 8*L90 '.'''''' '.''''''
#% 8*L90 '.'''' 8*L90 8*L90 8*L90 8*L90
#% 8*L90 '.'''' 8*L90 8*L90 8*L90 8*L90
#%' 8*L90 '.'''' 8*L90 8*L90 '.'''''' 8*L90
#% 8*L90 '.'''' 8*L90 8*L90 8*L90 8*L90
#%' 8*L90 '.'''' 8*L90 8*L90 '.'''''' 8*L90
#%F 8*L90 '.'''' 8*L90 8*L90 '.'''''' '.''''''
#% 8*L90 '.'''' 8*L90 8*L90 8*L90 8*L90
#%' 8*L90 '.'''' 8*L90 8*L90 '.'''''' 8*L90
#%F 8*L90 '.'''' 8*L90 8*L90 '.'''''' '.''''''
#%7F 8*L90 '.'''' 8*L90 8*L90 '.'''''' '.''''''
#% 8*L90 '.'''' 8*L90 8*L90 8*L90 8*L90
#%' 8*L90 '.'''' 8*L90 8*L90 '.'''''' 8*L90
#%F 8*L90 '.'''' 8*L90 8*L90 '.'''''' '.''''''
#%7F 8*L90 '.'''' 8*L90 8*L90 '.'''''' '.''''''
#%I% 8*L90 '.'''' 8*L90 8*L90 '.'''''' '.''''''
8*L90 8*L90Ajoint # 4inal 9?C Ajoint & 4inal 9?C
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or joints added to unde4or"ed positionC Ain pro+ressC
8*L90
8*L90
8*L90
8*L90
8*L90
8*L90
8*L90 8*L90
8*L90 8*L90
8*L90 8*L90
8*L90 8*L908*L90 8*L90
8*L90 8*L90
8*L90 8*L90
8*L90 8*L90
8*L90 8*L90
'.'''''' 8*L90
8*L90 8*L90 8*L90
8*L90 8*L90 8*L90
8*L90 8*L90 8*L90
8*L90 8*L90 8*L90
8*L90 8*L90 8*L90
8*L90 8*L90 8*L908*L90 8*L90 8*L90
8*L90 8*L90 8*L90
8*L90 8*L90 8*L90
'.'''''' 8*L90 8*L90
8*L90 8*L90 8*L90
8*L90 8*L90 8*L90
8*L90 8*L90 8*L90
'.'''''' 8*L90 8*L90
Joint Aadd allde4or"ations o4stories #6 a4terstory & is erectedC
Joint I Aadd allde4or"ations o4stories #6I a4terstory is erectedC
Joint 7 Aadd allde4or"ations o4stories #67 a4terstory I is erectedC
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'.'''''' '.'''''' 8*L90
8*L90 8*L90 8*L90
8*L90 8*L90 8*L90
8*L90 8*L90 8*L90
8*L90 8*L90 8*L90
8*L90 8*L90 8*L90
8*L90 8*L90 8*L90
8*L90 8*L90 8*L90
8*L90 8*L90 8*L90
8*L90 8*L90 8*L90
'.'''''' 8*L90 8*L90
8*L90 8*L90 8*L90
8*L90 8*L90 8*L90
8*L90 8*L90 8*L90
'.'''''' 8*L90 8*L90
'.'''''' '.'''''' 8*L90
8*L90 8*L90 8*L90Ajoint 4inal 9?C Ajoint I 4inal 9?C Ajoint 7 4inal 9?C
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Creep.SD this tab contains ori+inal calculations 4or the 5L
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Stage ,
0lastic '.'&'F'# '.'&'F'# '.'&'F'# '.'&'F'#
3otal step 5 $.*$@#5@% $.*A#*A@A $.*A$*#), $.$@),)@%
reep2 Sta+e # load '.'''%%
reep2 Sta+e & load '.''###77 '.''#&'%
reep2 Sta+e load '.''#7'%F '.''#F '.''#E7
reep2 Sta+e I load '.''F&E '.''F7E% '.''#'%# '.''E'%%#3otal step @ $.**@@%$# $.*5@,#A# $.*5@,#A# $.**@@%$#
Stage A
0lastic '.'&'F'# '.'&'F'# '.'&'F'# '.'&'F'# '.'&'F'#
3otal step # $.*%#,%5# $.)*#5* $.),$%*5* $.)$*)A#) $.*$%$%A,
reep2 Sta+e # load '.'''E&FF
reep2 Sta+e & load '.'''E&& '.'''%%
reep2 Sta+e load '.''#'# '.''###77 '.''#&'%
reep2 Sta+e I load '.''#I&% '.''#7'%F '.''#F '.''#E7
reep2 Sta+e 7 load '.''7%II '.''F&E '.''F7E% '.''#'%# '.''E'%%#
3otal step *$ $.*,#A5%+ $.)%#+#@% $.)+#5#$) $.)%#+#@% $.*,#A5%+
Stage +
0lastic ' ' ' ' '
3otal step ** $.*,#A5%+ $.)%#+#@% $.)+#5#$) $.)%#+#@% $.*,#A5%+
reep2 Sta+e # load '.'&'FEF
reep2 Sta+e & load '.'#EEF%E '.'#&F
reep2 Sta+e load '.'#EI '.'#%I& '.'&&7'F
reep2 Sta+e I load '.'#E&FF '.'#%'IF '.'&'E7F '.'&&
reep2 Sta+e 7 load '.'#EEF7 '.'#%F%7F '.'&'E#I# '.'&&IEF '.'&7FI&
3otal step *) $.),,A%)) $.,*,#**5 $.A$#*@*+ $.A)A%A,, $.,+$@+%#
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nd o4 sta+e
uccAt2t'C G ;At2t'C 3 eci 3 L G ;' 3 BAt 6 t'C 3 eci 3 L
#I &E 7 t' G *+e at start o4 sta+e 1hen load applied'.''E'%%# ' ' ' '
'.''%%7F# '.''#'%# ' ' '
'.'##&& '.''E%# '.''F7E% ' '
'.'#&&&' '.''%E7IF '.''E'%7 '.''F&E '
'.'#'I '.'#'&FE '.''%#&FF '.''FF# '.''7%II
'.' '.'&%7%F '.'&%E# '.'&7%&%I '.'&IE%I
0lastic displace"ent due to sta+e # load
Sta+e # creep due to sta+e # load
0lastic displace"ent due to sta+e & load
Sta+e & creep due to sta+e # load
Sta+e & creep due to sta+e & load
0lastic displace"ent due to sta+e load
Sta+e creep due to sta+e # load
Sta+e creep due to sta+e & load
Sta+e creep due to sta+e load
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0lastic displace"ent due to sta+e I load
Sta+e I creep due to sta+e # load
Sta+e I creep due to sta+e & load
Sta+e I creep due to sta+e load
Sta+e I creep due to sta+e I load
0lastic displace"ent due to sta+e 7 load
Sta+e 7 creep due to sta+e # load
Sta+e 7 creep due to sta+e & load
Sta+e 7 creep due to sta+e load
Sta+e 7 creep due to sta+e I load
Sta+e 7 creep due to sta+e 7 load
Sta+e F creep due to sta+e # load
Sta+e F creep due to sta+e & load
Sta+e F creep due to sta+e load
Sta+e F creep due to sta+e I load
Sta+e F creep due to sta+e 7 load
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9erify S:")$$$ results for ;DEF*0
6 creep considered
6 ne1ly added joints are placed to de4or"ed position2 usin+ +host structure 1ith chan+e "odi4iers only
Athis causes incorrect a+e o4 concrete 4or ne1ly added se+"ents2 as this a+e is counted 4ro" the 4irst sta+eC
days *+e o4 structure 1hen load is applied
t G #I days *+e o4 structure 1hen creep de4lection is cal
creep coe44icient G 8*L90
L G '' "" Len+th o4 the "e"ber
7'' !N7'' !N
8*L90 "" Total elastic and creep displace"ent at ti"e t
'.' "" -nitial elastic displace"ent
7.F06''F (6,
'.&&&&&& MPa
8*L90 "" Displace"ent due to creep at ti"e t
8*L90 (6,
'.&&&&&& MPa
t'G
Pne1G Ne1ly applied 4orce at t'Acauses elastic de4oP
totalG Total 4orce actin+ at ti"e t
'Acauses creepC
Ytotal
At2 t'C G Y
ciAt
'C H Y
ccAt2 t
'C G
YciAt
'C G
ciAt
'C 3 L G
ciAt
'C G Z
c2ne1At
'C $ 0
ciG -nitial elastic strain at ti"e t
'
Zc2ne1
At'C G P
ne1$ *
cG 0lastic stress at ti"e t
'due to ne1ly applied l
Ycc
At2 t'C G
ccAt2 t
'C 3 L G
cc
At2 t'C G Z
c2totalAt
'C $ 0
ci3 QAt2 t
'C G reep strain at ti"e t V t
'
Zc2totalAt'C G Ptotal$ *cG Total stress actin+ on section at ti"e t'
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Story # Story &
Sta+e # Sta+e & Sta+e Sta+e I Sta+e 7[F Sta+e & Sta+e Sta+e I Sta+e 7[F
Loads Loads Loads Loads Loads Loads Loads Loads Loads
#I &E 7 #I &E 7
ulated #% #% #% #% #% #% #% #% #%
8*L90 8*L90 8*L90 8*L90 8*L90 8*L90 8*L90 8*L90 8*L90
'' '' '' '' '' '' '' '' ''
7'' 7'' 7'' 7'' 7'' 7'' 7'' 7'' 7''7'' 7'' 7'' 7'' 7'' 7'' 7'' 7'' 7''
8*L90 8*L90 8*L90 8*L90 8*L90 8*L90 8*L90 8*L90 8*L90
'.'&'F' '.'&'F' '.'&'F' '.'&'F' '.'&'F' '.'&'F' '.'&'F' '.'&'F' '.'&'F'
7.F06''F 7.F06''F 7.F06''F 7.F06''F 7.F06''F 7.F06''F 7.F06''F 7.F06''F 7.F06''F
'.&&&&&& '.&&&&&& '.&&&&&& '.&&&&&& '.&&&&&& '.&&&&&& '.&&&&&& '.&&&&&& '.&&&&&&
8*L90 8*L90 8*L90 8*L90 8*L90 8*L90 8*L90 8*L90 8*L90
8*L90 8*L90 8*L90 8*L90 8*L90 8*L90 8*L90 8*L90 8*L90
'.&&&&&& '.&&&&&& '.&&&&&& '.&&&&&& '.&&&&&& '.&&&&&& '.&&&&&& '.&&&&&& '.&&&&&&
8*L90 8*L90
r"ationC
oads
Ajoint # 4inal9?C
Ajoint & 4inal9?C
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Story Story I Story 7
Sta+e Sta+e I Sta+e 7[F Sta+e I Sta+e 7[F Sta+e 7[F
Loads Loads Loads Loads Loads Loads
&E 7 &E 7 7
#% #% #% #% #% #%
8*L90 8*L90 8*L90 8*L90 8*L90 8*L90
'' '' '' '' '' ''
7'' 7'' 7'' 7'' 7'' 7''7'' 7'' 7'' 7'' 7'' 7''
8*L90 8*L90 8*L90 8*L90 8*L90 8*L90
'.'&'F' '.'&'F' '.'&'F' '.'&'F' '.'&'F' '.'&'F'
7.F06''F 7.F06''F 7.F06''F 7.F06''F 7.F06''F 7.F06''F
'.&&&&&& '.&&&&&& '.&&&&&& '.&&&&&& '.&&&&&& '.&&&&&&
8*L90 8*L90 8*L90 8*L90 8*L90 8*L90
8*L90 8*L90 8*L90 8*L90 8*L90 8*L90
'.&&&&&& '.&&&&&& '.&&&&&& '.&&&&&& '.&&&&&& '.&&&&&&
8*L90 8*L90 8*L90
Ajoint 4inal9?C
Ajoint 7 4inal9?C
Ajoint 7 4inal9?C
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9erify S:")$$$ results for ;DEF)0
6 creep considered
6 ne1ly added joints are placed to de4or"ed position2 usin+ +host structure 1ith chan+e "odi4iers and
Athis enables to use correct a+e o4 concete 4or ne1ly added se+"entsC
days *+e o4 structure 1hen load is applie
t G #I days *+e o4 structure 1hen creep de4lecti
creep coe44icient G 8*L90
L G '' "" Len+th o4 the "e"ber
7'' !N7'' !N
8*L90 "" Total elastic and creep displace"en
'.' "" -nitial elastic displace"ent
7.706''F (6,
'.&&&&&&& MPa
8*L90 "" Displace"ent due to creep at ti"e t
8*L90 (6,
'.&&&&&&& MPa
t'G
Pne1G Ne1ly applied 4orce at t'Acauses elP
totalG Total 4orce actin+ at ti"e t
'Acauses
Ytotal
At2 t'C G Y
ciAt
'C H Y
ccAt2 t
'C G
YciAt
'C G
ciAt
'C 3 L G
ciAt
'C G Z
c2ne1At
'C $ 0
ciG -nitial elastic strain at ti"e t
'
Zc2ne1
At'C G P
ne1$ *
cG 0lastic stress at ti"e t
'due to ne1ly
Ycc
At2 t'C G
ccAt2 t
'C 3 L G
cc
At2 t'C G Z
c2totalAt
'C $ 0
ci3 QAt2 t
'C G reep strain at ti"e t V t
'
Zc2totalAt'C G Ptotal$ *cG Total stress actin+ on section at ti"
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e"ove$add
Story # Sto
Sta+e # Sta+e & Sta+e Sta+e I Sta+e 7[F Sta+e & Sta+e
Loads Loads Loads Loads Loads Loads Loads
d #I &E 7 #I
on is calculated #% #% #% #% #% #%' #%'
8*L90 8*L90 8*L90 8*L90 8*L90 8*L90 8*L90
'' '' '' '' '' '' ''
7'' 7'' 7'' 7'' 7'' 7'' 7''7'' 7'' 7'' 7'' 7'' 7'' 7''
at ti"e t 8*L90 8*L90 8*L90 8*L90 8*L90 8*L90 8*L90
'.'&'F'# '.'&'F'# '.'&'F'# '.'&'F'# '.'&'F'# '.'&'F'' '.'&'F''
7.706''F 7.706''F 7.706''F 7.706''F 7.706''F 7.7F%06''F 7.7F%06''F
'.&&&&&&& '.&&&&&&& '.&&&&&&& '.&&&&&&& '.&&&&&&& '.&&&&&&&& '.&&&&&&&&
8*L90 8*L90 8*L90 8*L90 8*L90 8*L90 8*L90
8*L90 8*L90 8*L90 8*L90 8*L90 8*L90 8*L90
'.&&&&&&& '.&&&&&&& '.&&&&&&& '.&&&&&&& '.&&&&&&& '.&&&&&&&& '.&&&&&&&&
8*L90
stic de4or"ationCreepC
applied loads
t'
Ajoint # 4inal9?C
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ry & Story Story I Story 7
Sta+e I Sta+e 7[F Sta+e Sta+e I Sta+e 7[F Sta+e I Sta+e 7[F Sta+e 7[F
Loads Loads Loads Loads Loads Loads Loads Loads
&E #I #I
#%' #%' #%F #%F #%F #%7F #%7F #%I%
8*L90 8*L90 8*L90 8*L90 8*L90 8*L90 8*L90 8*L90
'' '' '' '' '' '' '' ''
7'' 7'' 7'' 7'' 7'' 7'' 7'' 7''7'' 7'' 7'' 7'' 7'' 7'' 7'' 7''
8*L90 8*L90 8*L90 8*L90 8*L90 8*L90 8*L90 8*L90
'.'&'F'' '.'&'F'' '.'&'F'' '.'&'F'' '.'&'F'' '.'&'F'' '.'&'F'' '.'&'F''
7.7F%06''F 7.7F%06''F 7.7F%06''F 7.7F%06''F 7.7F%06''F 7.7F%06''F 7.7F%06''F 7.7F%06''F
'.&&&&&&&& '.&&&&&&&& '.&&&&&&&& '.&&&&&&&& '.&&&&&&&& '.&&&&&&&& '.&&&&&&&& '.&&&&&&&&
8*L90 8*L90 8*L90 8*L90 8*L90 8*L90 8*L90 8*L90
8*L90 8*L90 8*L90 8*L90 8*L90 8*L90 8*L90 8*L90
'.&&&&&&&& '.&&&&&&&& '.&&&&&&&& '.&&&&&&&& '.&&&&&&&& '.&&&&&&&& '.&&&&&&&& '.&&&&&&&&
8*L90 8*L90 8*L90 8*L90
Ajoint & 4inal9?C
Ajoint 4inal9?C
Ajoint 7 4inal9?C
Ajoint 7 4inal9?C