PSC Design (Eurocode)_MIDAS

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    Element Number 16

    Position Information J

    1.Design Condition

    1.1 Design Parameters

    - Partial factors for ultimate limit states (EN 1992-1-1:200! 2..2."

    Design #ituations

    Persistent $ %ransient 1.&00 1.1&0 1.1&0

    'cciental 1.200 1.000 1.000

    ) 0.*&0 (for t+e ,omressie strengt+"

    ) 1.000 (for t+e %ensile strengt+"

    1.2 #ectional Information

    *&00.000 mm /.*66*E12 &969.00

    + 000.000 mm 2.9&/E1 1099&.600

    60.000 mm 2&0.000 mm 1&*.0029&0.000 mm 1/90.&90 mm */.100

    ' 620*/20.000 /*&&.00

    1. aterial Information

    - ,oncrete aterial Information

    ) 0.000 Pa ! ) &220.000 Pa

    - 3einforcement aterial Information

    ) 00.000 Pa ! ) 200000.000 Pa

    1. %enon Profile Information

    %4e %enon Name#trengt+ (Pa"

    1 '2 &00.000 &2/0.600 1900.000 1600.000 200000.000

    2 ' /00.000 &2/0.600 1900.000 1600.000 200000.000

    '1 00.000 &2/0.600 1900.000 1600.000 200000.000

    ' 900.000 &2/0.600 1900.000 1600.000 200000.000

    2.Ultimate Moment Resistance

    1

    - Design 5oa

    5oa ,ombination Name : 5#

    Design #ituations : Persistent $ %ransient

    5oa ,ombination %4e : 78-IN

    ) 0.000

    (EN 1992-1-1:200! .1./"

    ) 0.*00

    ) 1.000

    ;cfor concrete ;

    sfor reinforcing steel ;

    sfor restressing steel

    - factor ero.

    6" 3eeat ste 1 t+roug+ & until t+e resultant force becomes >ero.

    Num.

    ,oncrete 3einforcement 3einforcement %enon

    1 1&00.000 *0*/.66/ *2.&&/ 20/6.1** 0.000 0./9&&&

    2 /&0.000 6*090.66/ *2.&&/ 20/6.1** &0/.92 10.922& /&.000 &20.009 *2.&&/ 20/6.1** 19191.*26 2.6/6

    1*/.&00 2*900.000 *2.&&/ 20/6.1** 2/*9&.1*0 1.091*6

    & 9./&0 1&0.000 2//0.*/* 20/6.1** 292.0& 0.&*29

    6 10.62& 216/&.000 *2.&&/ 20/6.1** 292.0& 0.*11**

    / 16.06 2&2*/.&00 *2.&&/ 20/6.1** 2*/*./6 0.9/&

    * 1/&./*1 2/09./&0 *2.&&/ 20/6.1** 2*2**./1* 1.01*22

    9 169.922 26190.62& *2.&&/ 20/6.1** 2*&0&.* 0.9*16

    10 1/2.*&2 2662.1** *2.&&/ 20/6.1** 2*9&.1 0.999*

    @ ) 1/2.*&2 mm

    ) ) 2662.1**

    ) ) *2.&&/

    ) ) 20/6.1**

    ) ) 2*9&.1

    =+ere! @ is neutral a@is et+

    Num

    '2 /0.02* 0.00662 0.00&2 0.0101 191.0 &2/0.600 /.009

    ' /0&.9/09 0.0106/ 0.00& 0.0120 191.0 &2/0.600 /.009

    '1 69*.6*// 0.002&/ 0.009 0.0060/ 121.60 &2/0.600 696.1&

    ' /1&.29&9 0.01/2 0.00&* 0.01*0 191.0 &2/0.600 /.009

    ) ) 21/0.621

    ) 0.000 OK

    =+ere!

    fc

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    1

    - Design 5oa

    5oa ,ombination Name : 5#1

    Design #ituations : Persistent $ %ransient

    5oa ,ombination %4e : -IN

    ) -&96&.2

    (EN 1992-1-1:200! .1./"

    ) 0.*00

    ) 1.000

    - Design strengt+ of concrete

    ) ) 22.66/ Pa

    - Design strengt+ of 3einforcement

    ) ) /.*26 Pa

    - ,alculate Neutral '@is

    1" 'ssume neutral a@is et+.2" ,alculate t+e strain of steel an tenon.

    " ,alculate t+e stress of steel an tenon.

    " ,alculate t+e a@ial force in concrete! steel! an tenon.

    &" ,+ec? if t+e resultant force of cross-section is >ero.

    6" 3eeat ste 1 t+roug+ & until t+e resultant force becomes >ero.

    Num.

    ,oncrete 3einforcement 3einforcement %enon

    1 1&00.000 */&*.26/ 20/6.1** *2.&&/ 2/*.66 1.*29

    2 /&0.000 /660.66/ 20/6.1** *2.&&/ 292.0& 1.19*6 /&.000 290/2.26/ 20/6.1** *2.&&/ 292.0& 0.99

    &62.&00 **6.26/ 20/6.1** *2.&&/ 292.0& 1.11/*

    & 6*./&0 2/9.16/ 20/6.1** *2.&&/ 292.0& 1.0&00

    6 21.*/& 109&.692 20/6.1** *2.&&/ 292.0& 1.0006

    @ ) 21.*/& mm

    ) ) 109&.692

    ) ) 20/6.1**

    ) ) *2.&&/

    ) ) 292.0&

    =+ere! @ is neutral a@is et+

    Num

    '2 /0.02* 0.01/2 0.00&2 0.020/6 191.0 &2/0.600 /.009

    ' /0&.9/09 0.01&&* 0.00& 0.01911 191.0 &2/0.600 /.009

    '1 69*.6*// 0.01*90 0.009 0.0229 191.0 &2/0.600 /.009

    ' /1&.29&9 0.0192 0.00&* 0.01/&0 191.0 &2/0.600 /.009

    ,+ec? oment 3esistance! 3!

    E ?Nm

    - factor ! an factor

    ( fc?&0 Pa"

    ( fc?

    &0 Pa"

    fc

    ) 266.000 mm

    ) 1&*.00

    ) ) 0.00126

    =+ere! < is t+e angle bet=een s+ear reinforcement an t+e beam a@is erenicular to t+e s+ear force.

    - ,alculate moment resistance! 3

    3 7cac 7sas ( 7iai" ?Nm

    E ?Nm

    ac! a

    s! a

    is t+e istance from neutral a@is et+! @ to concrete! reinforcement! tenon

    Maximm Shear !orce

    ,+ec? s+ear resistance of ,oncrete! 3!c

    NE ?N

    E ?N

    E ?Nm

    fc

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    H is t+e angle bet=een t+e concrete comression strut an t+e beam a@is erenicular to t+e s+ear

    > is t+e inner leel arm.

    (EN 1992-1-1:200! 6.2.("O(""

    ) ) 1&69./21 ?N

    )

    ) 9&00. ?N ) 96.*06 ?N OK

    =+ere! ) ) 0.&0

    ) ) 1.0*2

    ) ) 2.1/9 Pa

    ) 1&2&./0& ?N

    ) GGG

    )

    - ,+ec? ratio of s+ear reinforcement (EN 1992-1-1:200! 9.2.2(&"") ) 0.01 ) 0.001 OK

    - ,+ec? #acing of stirrus

    ) ) 220&.000 mm

    s ) 1&0.000 mm ) 220&.000 mm OK

    =+ere! s is t+e sacing of t+e stirrus

    1

    - Design 5oa5oa ,ombination Name : 5#

    Design #ituations : Persistent $ %ransient

    5oa ,ombination %4e : 78-IN

    ) -1296/.11/

    ) &6*1.209

    ) -*&0.61*

    - Design strengt+ of concrete

    ) ) 26.66/ Pa

    - Design strengt+ of 3einforcement

    ) ) /.*26 Pa

    ) ) 1&0.9 ?N

    )

    ) 9.6// ?N < ) &6*1.209 ?N

    =+ere! I ) /.*66*E12

    ) *16.000 mm

    # ) 21*2&0&.02&

    's=

    is t+e cross-sectional area of t+e s+ear reinforcement

    =! min

    is t+e minimum ratio of s+ear reinforcement

    - Design alue for t+e s+ear resistance 3!s

    3!ma@ 1fcA (cotH tanH"

    3!s ('s=A s">f4=cotH 3!ma@

    E

    1

    ) 266.000 mm

    ) 1&*.00

    ) ) 0.00126=+ere! < is t+e angle bet=een s+ear reinforcement an t+e beam a@is erenicular to t+e s+ear force.

    H is t+e angle bet=een t+e concrete comression strut an t+e beam a@is erenicular to t+e s+ear

    > is t+e inner leel arm.

    (EN 1992-1-1:200! 6.2.("O(""

    ) ) 1&6&./69 ?N

    )

    ) 9&00. ?N ) &6*1.209 ?N OK=+ere! ) ) 0.&0

    ) ) 1.0/*

    ) ) 2.0*9 Pa

    ) 1296/.11/ ?N

    ) GGG

    )

    - ,+ec? ratio of s+ear reinforcement (EN 1992-1-1:200! 9.2.2(&""

    ) ) 0.01 ) 0.001 OK

    - ,+ec? #acing of stirrus

    ) ) 220&.000 mm

    s ) 1&0.000 mm ) 220&.000 mm OK

    =+ere! s is t+e sacing of t+e stirrus

    ".#orsional Resistance

    1 Design 5oa

    fct

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    5oa ,ombination Name : 5#1

    Design #ituations : Persistent $ %ransient

    5oa ,ombination %4e : 7F-'8

    ) -1&2&./0&

    ) 96.*06

    ) 2101.02

    ) -92.&6&

    - Design strengt+ of concrete

    ) ) 26.66/ Pa

    - Design strengt+ of 3einforcement

    ) ) /.*26 Pa

    2 ,+ec? %orsional 3esistance

    - Design Parameters

    ) /*.1 mm

    ) GGG) 21&*/.0*1 mm

    ) 290.000 mm

    < ) 90.000

    H ) &.000

    =+ere!

    < is t+e inclination of t+e torsional s+ear reinforcement to t+e longituinal a@is of t+e beam.

    H is t+e angle of comression struts

    ) ) 1/&6&2.66&

    ) 0.609 1.0 QR

    =+ere! ) 1&69./21 ?N

    ) ) 0.&0

    ) ) 1.0*2

    ) ) 2.1/9 Pa

    ) 1&2&./0& ?N

    ) GGG

    - ,+ec? longituinal reinforcement for torsion

    ) ) 0/./1

    ) /*&&.00 ) 0/./1 OK

    =+ere!

    - ,+ec? longituinal sacing of t+e torsion

    ) ) 269*.*& mm

    ) ) 220&.000 mm

    ) ) 220&.000 mm

    NE ?N

    E ?N

    %E ?Nm

    E ?Nm

    fc

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    s ) 1&0.000 mm ) 220&.000 mm OK

    1 Design 5oa

    5oa ,ombination Name : 5#

    Design #ituations : Persistent $ %ransient

    5oa ,ombination %4e : -'8

    ) -1296/.11/

    ) &6*1.209

    ) 0.000

    ) -*&0.61*

    - Design strengt+ of concrete

    ) ) 26.66/ Pa

    - Design strengt+ of 3einforcement

    ) ) /.*26 Pa

    2 ,+ec? %orsional 3esistance

    - Design Parameters

    ) /*.1 mm

    ) GGG

    ) 21&*/.0*1 mm

    ) 290.000 mm

    < ) 90.000

    H ) &.000

    =+ere!

    < is t+e inclination of t+e torsional s+ear reinforcement to t+e longituinal a@is of t+e beam.

    H is t+e angle of comression struts

    ) ) 1/&10.*0

    ) 0.6 1.0 QR

    =+ere! ) 1&6&./69 ?N

    ) ) 0.&0

    ) ) 1.0/*

    ) ) 2.0*9 Pa

    ) 1296/.11/ ?N

    ) GGG

    - ,+ec? longituinal reinforcement for torsion

    ) ) 0.000

    ) /*&&.00 ) 0.000 OK

    =+ere!

    #ma@

    Minimm Shear !orce

    NE ?N

    E ?N

    %E ?Nm

    E ?Nm

    fc

    mm

    'sc mm

    2

    c ,4 's= mm2

    t

    ,>

    '=t mm

    2

    mm2 'lt mm2

    fc?

    Ec

    f4?

    Es

    5ocation(mm"

    'rea(mm2"

    E

    (Pa"f?

    f0.1?

    Positive Moment,+ec? oment 3esistance!

    3!

    E ?Nm

    - factor ! an factor

    ( fc?

    &0 Pa"

    ( fc?

    &0 Pa"

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    - Design strengt+ of concrete

    ) ) 22.66/ Pa

    - Design strengt+ of 3einforcement

    ) ) /.*26 Pa

    - ,alculate Neutral '@is

    1" 'ssume neutral a@is et+.

    2" ,alculate t+e strain of steel an tenon.

    " ,alculate t+e stress of steel an tenon.

    " ,alculate t+e a@ial force in concrete! steel! an tenon.

    &" ,+ec? if t+e resultant force of cross-section is >ero.

    6" 3eeat ste 1 t+roug+ & until t+e resultant force becomes >ero.

    Num.

    ,oncrete 3einforcement 3einforcement %enon

    1 1&00.000 *0*/.66/ *2.&&/ 20/6.1** 2*00.2/ 2.//91/

    2 /&0.000 6*090.66/ *2.&&/ 20/6.1** 292.0& 2.2*969 /&.000 &20.009 *2.&&/ 20/6.1** 292.0& 1./9022

    1*/.&00 2*900.000 *2.&&/ 20/6.1** 292.0& 1.0191

    & 9./&0 1&0.000 2//0.*/* 20/6.1** 292.0& 0.&*29

    6 10.62& 216/&.000 *2.&&/ 20/6.1** 292.0& 0.*11**

    / 16.06 2&2*/.&00 *2.&&/ 20/6.1** 292.0& 0.926*9

    * 1/&./*1 2/09./&0 *2.&&/ 20/6.1** 292.0& 0.9*0

    9 1*1.61 2/996.*/& *2.&&/ 20/6.1** 292.0& 1.0116

    10 1/*./11 2/&&.1 *2.&&/ 20/6.1** 292.0& 0.99*/*

    11 1*0.1/6 2///1.09 *2.&&/ 20/6.1** 292.0& 1.00&9/

    12 1/9. 2/6&*.20 *2.&&/ 20/6.1** 292.0& 1.002/1 1/9.0// 2/601./&* *2.&&/ 20/6.1** 292.0& 1.000&*

    @ ) 1/9.0// mm

    ) ) 2/601./&*

    ) ) *2.&&/

    ) ) 20/6.1**

    ) ) 292.0&

    =+ere! @ is neutral a@is et+

    Num

    Y 91.&1& 0.0&220 0.0066 0.0&6*6 191.0 &2/0.600 /.009

    Y 916./&*9/ 0.0*29 0.00&* 0.0&2** 191.0 &2/0.600 /.009

    Y2 *9/.12/* 0.0* 0.009 0.0**/ 191.0 &2/0.600 /.009

    Y1 91&./9/ 0.00* 0.00&* 0.0&0& 191.0 &2/0.600 /.009

    ) ) /*/1/.90

    ) 61/9.20* OK

    fc

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    =+ere!

    1

    - Design 5oa

    5oa ,ombination Name : 5#1

    Design #ituations : Persistent $ %ransient

    5oa ,ombination %4e : -IN

    ) 0.000

    (EN 1992-1-1:200! .1./"

    ) 0.*00

    ) 1.000

    - Design strengt+ of concrete

    ) ) 22.66/ Pa

    - Design strengt+ of 3einforcement

    ) ) /.*26 Pa

    - ,alculate Neutral '@is

    1" 'ssume neutral a@is et+.

    2" ,alculate t+e strain of steel an tenon.

    " ,alculate t+e stress of steel an tenon.

    " ,alculate t+e a@ial force in concrete! steel! an tenon.

    &" ,+ec? if t+e resultant force of cross-section is >ero.

    6" 3eeat ste 1 t+roug+ & until t+e resultant force becomes >ero.

    Num.,oncrete 3einforcement 3einforcement %enon

    1 1&00.000 */&*.26/ 20/6.1** *2.&&/ 0.000 1.291&9

    2 /&0.000 /660.66/ 20/6.1** *2.&&/ *2.62/ .&929

    /&.000 290/2.26/ 20/6.1** *2.&&/ 1/*./2 1./6*99

    1*/.&00 1&02.000 20/6.1** *2.&&/ 21999.026 0.6/6*

    & 2*1.2&0 21/9.&00 20/6.1** *2.&&/ 2099.9* 1.02&/

    6 2./& 192*./& 20/6.1** *2.&&/ 211*.2*/ 0.*9&/

    / 2&/.*1 2120. 20/6.1** *2.&&/ 20*1/.9 0.9&*1

    * 269.&1 2220.&2 20/6.1** *2.&&/ 20&99.61 0.991

    9 2/&.91 22691.912 20/6.1** *2.&&/ 209/.6/& 1.01*

    10 2/2.61 22*.19 20/6.1** *2.&&/ 20&*.09/ 1.0062

    11 2/0.996 2226.&2 20/6.1** *2.&&/ 20&/./16 1.0001/

    @ ) 2/0.996 mm

    ) ) 2226.&2

    ) ) 20/6.1**

    ) ) *2.&&/

    ) ) 20&/./16

    =+ere! @ is neutral a@is et+

    ac! a

    s! a

    is t+e istance from neutral a@is et+! @ to concrete! reinforcement! tenon

    Negative Moment

    ,+ec? oment 3esistance! 3!

    E ?Nm

    - factor ! an factor

    ( fc?

    &0 Pa"

    ( fc?

    &0 Pa"

    fc

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    Num

    Y 916./&*9/ 0.00102 0.00&* 0.00&60 1120.*/* &2/0.600 &90/.699

    Y2 *9/.12/* 0.0060 0.009 0.00*09 191.0 &2/0.600 /.009

    Y1 91&./9/ 0.00619 0.00&* 0.010/6 191.0 &2/0.600 /.009

    ) ) 201./21

    ) 0.000 OK

    =+ere!

    3.Shear Resistance

    1

    - Design 5oa

    5oa ,ombination Name : 5#1

    Design #ituations : Persistent $ %ransient

    5oa ,ombination %4e : 7F-'8) -1/0.2/*

    ) 160.26

    ) &091.9&

    - Design strengt+ of concrete

    ) ) 26.66/ Pa

    - Design strengt+ of 3einforcement

    ) ) /.*26 Pa

    ) ) 1/66.162 ?N

    )

    ) &*6.0*9 ?N ) 160.26 ?N

    =+ere! I ) /.*66*E12

    ) *16.000 mm

    # ) 21*2&0&.02&

    ) ) 1.6/ Pa

    )

    )

    ) 1.0

    ) ) 2.*0 Pa

    ) 1/0.2/* ?N

    ) GGG

    ) ) 0.1

    ? ) ) 1.260

    ) 29&0.000 mm

    ) 0.1&0

    2

    #tressEff

    (Pa"

    i

    (0"i

    i

    fi

    (Pa"

    'i

    (mm2"

    7i

    (?N"

    - ,alculate moment resistance! 3

    3 7cac 7sas ( 7iai" ?Nm

    E ?Nm

    ac! a

    s! a

    is t+e istance from neutral a@is et+! @ to concrete! reinforcement! tenon

    Maximm Shear !orce

    ,+ec? s+ear resistance of ,oncrete! 3!c

    NE ?N

    E ?N

    E ?Nm

    fc

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    - Design Parameters (EN 1992-1-1:200! 6.2."

    < ) 90.000

    H ) &.000

    > ) 26&&.000 mm

    ) 1&*.00

    ) ) 0.00126

    =+ere! < is t+e angle bet=een s+ear reinforcement an t+e beam a@is erenicular to t+e s+ear force.

    H is t+e angle bet=een t+e concrete comression strut an t+e beam a@is erenicular to t+e s+ear

    > is t+e inner leel arm.

    (EN 1992-1-1:200! 6.2.("O(""

    - ,+ec? ratio of s+ear reinforcement (EN 1992-1-1:200! 9.2.2(&""

    ) ) 0.01 ) 0.001 OK

    - ,+ec? #acing of stirrus) ) 2212.&00 mm

    s ) 1&0.000 mm ) 2212.&00 mm OK

    =+ere! s is t+e sacing of t+e stirrus

    1

    - Design 5oa

    5oa ,ombination Name : 5#2

    Design #ituations : Persistent $ %ransient

    5oa ,ombination %4e : 7F-IN) -1/1/.01

    ) -1*1.**9

    ) &0*&.&*9

    - Design strengt+ of concrete

    ) ) 26.66/ Pa

    - Design strengt+ of 3einforcement

    ) ) /.*26 Pa

    ) ) 1/&2.//0 ?N

    )

    ) &6.&&0 ?N ) -1*1.**9 ?N

    =+ere! I ) /.*66*E12

    ) *16.000 mm

    # ) 21*2&0&.02&

    ) ) 1.6/ Pa

    )

    )

    ( 1 cotH 2.&! 21.*H &"

    's= mm

    2

    =! min 0.0* fc?A f4?

    's=

    is t+e cross-sectional area of t+e s+ear reinforcement

    =! min

    is t+e minimum ratio of s+ear reinforcement

    - Design alue for t+e s+ear resistance 3!s

    #?i c+ec?ing s+ear resistance! 3!s

    b4 s+ear reinforcement steel

    = 's=A ( sb=sin< " =! min

    #l!ma@ 0./&(1 cot

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    ) 1.0

    ) ) 2./66 Pa

    ) 1/1/.01 ?N

    ) GGG

    ) ) 0.1

    ? ) ) 1.260

    ) 29&0.000 mm

    ) 0.1&0

    2

    - Design Parameters (EN 1992-1-1:200! 6.2."

    < ) 90.000

    H ) &.000

    > ) 26&&.000 mm

    ) 1&*.00

    ) ) 0.00126

    =+ere! < is t+e angle bet=een s+ear reinforcement an t+e beam a@is erenicular to t+e s+ear force.

    H is t+e angle bet=een t+e concrete comression strut an t+e beam a@is erenicular to t+e s+ear

    > is t+e inner leel arm.

    (EN 1992-1-1:200! 6.2.("O(""

    - ,+ec? ratio of s+ear reinforcement (EN 1992-1-1:200! 9.2.2(&""

    ) ) 0.01 ) 0.001 OK

    - ,+ec? #acing of stirrus) ) 2212.&00 mm

    s ) 1&0.000 mm ) 2212.&00 mm OK

    =+ere! s is t+e sacing of t+e stirrus

    ".#orsional Resistance

    1 Design 5oa

    5oa ,ombination Name : 5#1

    Design #ituations : Persistent $ %ransient

    5oa ,ombination %4e : 7F-'8

    ) -1/0.2/*

    ) 160.26

    ) 1**.16&

    ) &091.9&

    - Design strengt+ of concrete

    ) ) 26.66/ Pa

    - Design strengt+ of 3einforcement

    ) ) /.*26 Pa