SOFinar: Creep + Shrinkage with SOFiSTiK

Dr. Martin Siffling + Ákos Sapkás PhDHead of Customer Services Customer Services

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Overview of Participant Functionality

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“Raise hand“ function

You can ask question here.Please write your question inside the Questions dialogue. We will collect all questions and send a written answer to all participants later on.

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SOFinar Functions

Scope of SOFinar

• Creep + Shrinkage Analysis of Beam Elements

• Recommended workflow for post tensioned concrete beam bridges

• Available methods to evaluate creep and shrinkage values

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AGENDA

• Recommended workflow for beam bridges

• Definition of C+S inside CSM task

• Check results – “how to do that”

• Background of C+S

• C+S effects with numerical input TEDDY

• Different options to evaluate ϕ and ε values(new features inside SP 2014-7)

• Questions � please use questions dialogue directly

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Standard Workflow Bridge Design

• Set up a new project with SSD

• Define materials, prestressing systems, standard cross sections

• Define system geometry, cross sections and loads with SOFiPLUS and CABD

• Create new Task CSM and define all constructions stages including C+S stages

• Run CSM task und check results

File: psc-bridge-2014.sofistik

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CSM Task - Construction Stage Manager

Define for every creep stageDuration time [d], Humidity [%] and Temperature [°] to determine the values PHI and EPS

With a number > 1 in the table column „Creep steps“, the program automatically splits the total duration time, e.g. in 3 construction stages creep + shrinkage

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Construction Stage Manager - CSM

Define concrete age of first loading forevery group of elements

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Construction Stage Manager - CSM

Control parameters for creep + shrinkage calculations.In a first step use the default settings.Additional explanations will follow later on.

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Output of CSM Module

File: psc-bridge-2014_csm.dat

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Report Browser CSM-task

Check Creep + Shrinkage Values

• Open file psc-bridge-2014_csm.dat in TEDDY

• Change settings in #define AQB_CTRL intoECHO FORC,COMB,STR,EIGE $NO � deactivate Input NO

• Run file psc-bridge-2014_csm.dat inside TEDDY

• Open Report Browser out of TEDDY and check results

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Check Creep Values

Creep and ShrinkageCurvature and strains stored as loadsCreepfactors will be reduced due to tensile stresses in concreteCreepfactors will be converted to the specified mean elasticity modulusMNo h[mm] φ-bc φ-dc ε-ca ε-cd RH T[C] dt[d] t[d] t0[d] tw[d] ts[d] Relaxation1 551 0.62 -3.3E-5 40 20 0 7 7 7 0 0.80

Beam x[m] NoS M CI N[kN] My[kNm] Mz[kNm] phi eps-cs max-dsz -prz200001 0.000 101 1 6025 -10610.6 897.28 -48.63 0.59 -3.3E-5

827.8 -70.44 9.70 -51.46 4.8

� � 0,62

1,05� 0,59

Output based on default settings:no influcene if PHI and EPS values are defined via CSM

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Check Shrinkage Values

Creep and ShrinkageCurvature and strains stored as loadsCreepfactors will be reduced due to tensile stresses in concreteCreepfactors will be converted to the specified mean elasticity modulusMNo h[mm] φ-bc φ-dc ε-ca ε-cd RH T[C] dt[d] t[d] t0[d] tw[d] ts[d] Relaxation1 551 0.62 -3.3E-5 40 20 0 7 7 7 0 0.80

Beam x[m] NoS M CI N[kN] My[kNm] Mz[kNm] phi eps-cs max-dsz -prz200001 0.000 101 1 6025 -10610.6 897.28 -48.63 0.59 -3.3E-5

827.8 -70.44 9.70 -51.46 4.8

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Time [d] � 821 � 4500 � 24679 � 30000

Explanations AQB Manual

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Background Creep

Creep for BEAM elements

CTRL BEAM ASE AQBno change incross section

prestress / compositecross section

CTRL CREP STAN RCREapriori C+S

values• apriori shrinkage

values• creep in AQB

apriori values used in AQB

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Creep for BEAMs

phit

p

tu-z

t

T0 T1 T2

T0 T1 T2

T0 T1 T2

CTRL CREP STAN

phit

p

tu-z

t

T0 T1 T2

T0 T1 T2

T0 T1 T2

CTRL CREP RCRE

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Background Creep

MM

two beams in two groups �

tT0 T1 T2

�

tT0 T1 T2

GRP 1 with CTRL CREP STAN

GRP 2 with CTRL CREP RCRE

File: creep_example01.dat

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T0 T1 T2

GRP 1 28 28 28

GRP 2 56 - 28

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Background Creep

Displacement results: standard creep Displacement results: real creep

Background Creep

MM

beam with load and unload with CTRL CREP STAN

with CTRL CREP RCRE

File: creep_example02.dat

u-z

tT0 T1 T2

u-z

tT0 T1 T2

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Background Creep

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Grp Mnr Typ deff T0 BA BA BA BA BA BA BA BA BA BA BA BA BA BA BA BA BA BA

[mm] d 20 21 22 23 40 41 42 43 50 51 52 53 60 61 70 80 90 100

Dauer d---> 3 6 7 12 6 6 7 9 6 7 7 8 13 15 28 28 28 28 224

RH % ---> 70 70 70 70 70 70 70 70 70 70 70 70 70 70 70 70 70 70

Temp °---> 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20

1 1 Stab 188 28 0,41 0,16 0,11 0,12 0,05 0,04 0,04 0,05 0,03 0,03 0,03 0,03 0,04 0,04 0,06 0,05 0,04 0,04 1,37 1,36 / 1,05 **

Grp Mnr Typ deff T0 BA BA BA BA BA BA BA BA BA BA BA BA BA BA BA BA BA BA

[mm] d 20 21 22 23 40 41 42 43 50 51 52 53 60 61 70 80 90 100

Dauer d---> 3 6 7 12 6 6 7 9 6 7 7 8 13 15 28 28 28 28 224

RH % ---> 70 70 70 70 70 70 70 70 70 70 70 70 70 70 70 70 70 70

Temp °---> 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20

188 28 0,41 0,16 0,11 0,12 0,05 0,04 0,04 0,05 0,03 0,03 0,03 0,03 0,04 0,04 0,06 0,05 0,04 0,04 1,37 1,36 / 1,05 **

rkri 31 - 0,5 0,13 0,13 0,05 0,04 0,04 0,05 0,03 0,03 0,03 0,03 0,04 0,04 0,06 0,05 0,04 0,04 1,33 1,33 / 1,05 **

37 - - 0,5 0,17 0,06 0,05 0,05 0,05 0,03 0,03 0,03 0,03 0,04 0,04 0,07 0,05 0,04 0,04 1,28 1,28 / 1,05 **

44 - - - 0,57 0,07 0,06 0,05 0,06 0,03 0,03 0,03 0,03 0,04 0,04 0,07 0,05 0,05 0,04 1,22 1,23 / 1,05 **

56 - - - - 0,44 0,1 0,08 0,07 0,04 0,04 0,03 0,03 0,05 0,05 0,07 0,06 0,05 0,04 1,15 1,16 / 1,05 **

62 - - - - - 0,44 0,11 0,09 0,05 0,04 0,04 0,04 0,05 0,05 0,07 0,06 0,05 0,04 1,13 1,13 / 1,05 **

68 - - - - - - 0,45 0,12 0,06 0,05 0,04 0,04 0,06 0,05 0,08 0,06 0,05 0,04 1,10 1,10 / 1,05 **

75 - - - - - - - 0,47 0,08 0,06 0,05 0,05 0,06 0,06 0,08 0,06 0,05 0,04 1,06 1,07 / 1,05 **

84 - - - - - - - - 0,41 0,11 0,07 0,06 0,07 0,06 0,09 0,07 0,05 0,04 1,03 1,03 / 1,05 **

90 - - - - - - - - - 0,42 0,1 0,07 0,08 0,07 0,09 0,07 0,05 0,04 0,99 1,01 / 1,05 **

97 - - - - - - - - - - 0,42 0,11 0,1 0,08 0,1 0,07 0,06 0,05 0,99 0,99 / 1,05 **

104 - - - - - - - - - - - 0,43 0,14 0,09 0,11 0,08 0,06 0,05 0,96 0,96 / 1,05 **

112 - - - - - - - - - - - - 0,49 0,12 0,13 0,08 0,06 0,05 0,93 0,94 / 1,05 **

125 - - - - - - - - - - - - - 0,5 0,18 0,1 0,07 0,05 0,90 0,90 / 1,05 **

140 - - - - - - - - - - - - - - 0,58 0,12 0,08 0,06 0,84 0,85 / 1,05 **

168 - - - - - - - - - - - - - - - 0,56 0,12 0,08 0,76 0,76 / 1,05 **

196 - - - - - - - - - - - - - - - - 0,55 0,12 0,67 0,66 / 1,05 **

224 - - - - - - - - - - - - - - - - - 0,53 0,53 0,53 / 1,05 **

1

Summe

Summe

Background Shrinkage

autogenousshrinkage

dryingshrinkage

t [d]

ε [o/oo]

TT0TS

Start ofshrinkage

Concrete age atelement activation

TS = T0

TS < T0

already passed off

Duration [d] of C+S period

total shrinkage

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Reduction of prestressingstress due to shrinkage for post tensioned system

Larger shrinkage effect e.g. for composite systems

Background Shrinkage

two beams in two groups

File: shrinkage_example.dat

ε(ΣT,0)=-180,5 ε(T0,0)=-94,2 � -86,3

ε(ΣT,0)=-153,0 ε(T0,0)=-32,6 � -120,4

from hand calculation:

from CSM output:

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T0 TS T1 T2

GRP 1 28 3 28 28

GRP 2 28 28 28 28

Supported Creep Models SP 2014-7

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Select Code for Creep + ShrinkageUse Advanced Creeping within AQB

Creep and ShrinkageAnalysis according to EN 1992-1-1:2004+AC:2010/EN 1992-2:2005+AC:2008Curvature and strains stored as loadsCreepfactors will be reduced due to tensile stresses in concreteCreepfactors will be converted to the specified mean elasticity modulusMNo h[mm] φ-bc φ-dc ε-ca ε-cd RH T[C] dt[d] t[d] t0[d] tw[d] ts[d] Relaxation

1 551 1.87 -3.3E-5 70 20 28 35 7 35 3 0.78β(t,to) 0.33 1.00

Beam x[m] NoS M CI N[kN] My[kNm] Mz[kNm] phi eps-cs max-dsz –prz200001 0.000 101 1 6025 -20977.6 4409.37 -43.52 0.59 -3.3E-5

734.8 -15.29 6.30 -54.10 5.3

Creep value computed inside PROG AQBShrinkage value from evaluation inside PROG CSM

� � 1,87 ∙ 0,33

1,05� 0,5877 � 0,59

Values from CSM-Task input; RH, T and dt from table “Stages”t0 from table “Groups”

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Tips and Tricks

• heff for different cross sections• use different element groups or use different materials

• Using the option CTRL RCRE heff calculated in AQUA will be used automatically

• Creep and Shrinkage for composite sections• Input t0 = ts = 1 [d] in CSM Task

• SOFiSTiK Verification Manual• See TEDDY menu Help � verification manual

• See SSD menu Help � verification manual

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SOFiSTiK Verification Manual

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Example according to CEB-FIP Model Code 1990

Example according to fib Model Code 2010

Example according to DIN EN 1992

+++ End of SOFinar +++

Many thanks for your time and interest.

The video recording and also the data files will be published on www.sofistik.com/Infoportal

We all wish you a Merry Christmas and a Happy New Year

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