independent verification of sap2000 results

7/23/2019 Independent Verification of SAP2000 Results

1/34

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


2/34

Disclaimer

Spreadsheet Revision Hi

#$&&$&''% (ver. '.#,


3/34

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 ;


4/34

;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.


5/34

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


6/34

' &''' I''' F''' E'''

'

&

I

F

E

#'

#&

reep oe44icient

3ime days0

Creep

Coefficient


7/34

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


8/34

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

#'''' #&'''


9/34

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


10/34

' &''' I''' F''' E'''

'

&

I

F

E

#'

#&

3ime days0

Sh

rin4ageStrain


11/34

"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



ressive stren+th o4 concrete at the a+e o4 &E days 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


12/34

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

#'''' #&'''


13/34

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


14/34

'.'&'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


15/34

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


16/34

r 5AD0;C L


17/34

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


18/34

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


19/34

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


20/34

#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


21/34

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


22/34

'.'''''' '.'''''' 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


23/34

Creep.SD this tab contains ori+inal calculations 4or the 5L


24/34

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,, $.,+$@+%#


25/34

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


26/34

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


27/34


28/34


29/34

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'


30/34

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


31/34

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


32/34

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"


33/34

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


34/34

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

independent verification of sap2000 results

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