steldeck slab design

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  • 7/31/2019 Steldeck Slab Design

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    Modern Metal Industries Co.

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    -------------[ 1 ]-------------

    Modern Metal Industries Co.

    Fig. 1

    Typical Slab cross-section showing common terms.

    Fig. 2

    Pattern 1 for conventional reinforcement.

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    -------------[2

    ]-------------

    Modern Metal Industries Co.

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    -------------[3

    ]-------------

    Modern Metal Industries Co.

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    ResultsProject Name:

    STELDECK

    Typical- Interior SpanDesign Output

    Spans

    Parameter Notation Single End Interior

    Slab thickness D,cs (mm) 175

    Top (negative) reinforcement over supports: A-s (mm

    2) 310

    Pattern of negative reinforcement Pattern 2

    Concrete cover c (mm) 30

    Transverse (shrinkage/temperature effects)

    reinforcement, additional for D500L, total for D500N Ashr (mm2) 40

    Fire reinforcement (additional to

    shrinkage and negative reinforcement) Afire (mm2) 0

    Bottom tensile (positive) reinforcement A+,mid (mm2) 0

    (additional to Bondek sheeting)

    Number of temporary props 0

    Input parameters

    Type of Buildings Steel Frame Negative Reinforcement 12mm

    Diameter

    Span Configuration Interior Spans Negative Reinforcement Grade D500N

    Continuous Spans More than four spans

    Exposure Classification A1 D,cs -

    Ll/Ls 1

    Deflection Limits of Total

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    Job Name: STELDEK Typical

    INPUT PARAMETERS:

    T e of buildin Steel frames

    ont nuous spans ore t an our spans

    Ratio of shorter to longer spans 1

    Slab thickness Dc mm 1753

    oncre e gra e a

    Concrete slab span, centre to centre L mm 1637

    Exposure classification A1

    (AS 3600-2009, Table 4.3)

    Reinforcement ne ative ositive fire rade D500N, ,

    -- , . .e n orc ng pos t ve, re ar ameter mm 2

    Reinforcing negative bar diameter mm 12

    Deflection limits of composite slabs Total

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    Number of tem orar ro s 0

    :

    Moment capacity in positive bending M+

    u kNm 7.99-

    u .

    (used in partial plastic analysis)

    Shear (web crippling) capacity Vu kN 42.2

    4or serv cea ty ca cs. e ,ser mm .

    Yield stress fy MPa 550.0

    AS/NZS 4600:2005 Table 1.5, .

    '

    : , a e .

    DESIGN LOADS:

    Self wei ht of sheetin Gsh kPa 0.13..

    oncen ra e ve oa c a .

    Concentrated Live Load UDL equivalent c,equiv kPa 3.00

    Load from stacked materials M kPa 4.0

    Live Load Quv kPa 1.0

    AS 3610-1995 Clause 4.4, .

    .

    e we g o re n orcemen r a .

    (AS 2327.1-2003, Clause F2)

    LOAD COMBINATIONS:

    age e ore p ac ng concre e :

    * *Fdla = 1.2*Gsh+1.5*Quv+1.5QM kPa 7.7

    Fdlb = 1.2*Gsh+1.5*Qr+Qp

    Stage 2(after placing concrete):

    Fdlla = 1.2*Gsh+1.2Gc+1.5*Quv kPa 6.8. . . .

    *= . s + . c+ c .

    erv cea ty:

    Fdef = Gsh+Gc kPa 4.4

    (AS 3610-1995, Table 4.5.1)

    *ax mum pos ve en ng momen m .

    M*

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    MATERIAL PROPERTIES AND SLAB GEOMETRY:

    STELDEK sheeting yield stress y,sh a

    Yield stress of reinforcing bars fy,bar MPa 500

    Longitudinal shear capacity u,Rd MPa 497.80

    EN 1994-1-1:2005, Clause B.3.6, . .

    .ong erm s r n age an creep ac or sc .

    (AS 3600-2009, Clause 8.5.3.2)

    Modulus of elasticity of concrete Ec MPa 28600

    (AS 3600-2009, Clause 3.1.2)

    Shrinkage induced tensile stress cs MPa 0.6271(AS 3600-2009, Clause 8.5.3.1)( , )

    hr mm 55Depth of STELDEK

    sh effDistance from centroidal axis of STELDEK , .

    o ex reme re n ens on

    Effective cross-sectional area of STELDEK Ape mm 1601

    (EN 1994-1-1:2005, Clause 9.7.2)

    oncre e s a se we g a .

    (concrete, reinforcement and sheeting)

    Superimposed Dead Load Gsup kPa 5

    Live Load Q kPa 20

    :

    * *trengt : u= .2 + . a spans, a ucent, a ternate spans a .

    1) Fu=1.5*G (the rest of spans) kPa 11.18

    (AS/NZS 1170.0:2002)

    AS 3600-2009 Clause 2.4.4, . .= * *= . . , , .

    *u= . e res o spans a .

    (EN 1990:2002, Section 6)

    Deflections:

    Total ro ed Fs,t = 1+ksc)G + s + kcs l Q kPa N/A ,

    = , .

    s, p = sc + s + cs a

    ncrementa unproppe s,iup = sc sup + s + csl kPa 37.35

    (AS 3600-2009, Clause 8.5)

    DESIGN FOR STRENGTH:

    2Area of additional positive reinforcement A,pos mm 0

    Area of mesh in longitudinal direction A.mesh mm2

    0

    contributin to sa in bendin resistance2

    rea o a ona nega ve re n orcemen over ,neg mm

    supports

    ACTION EFFECTS:

    Bendin Moment at 1/6 s an M2** kNm 4.3.

    ** .

    **en ng oment at 2 span 4 m 7.7

    Maximum shear force at end support Vesp* kN N/A

    (EN 1990;2002, Section 6)

    ** .

    ----[ 7 ]----

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    Maximum shear force at interior support Visp* kN 30.6

    AS/NZS 1170.0:2002.

    -- , . .

    POSITIVE SHEAR CAPACITY :

    Basic design shear strength u,Rd MPa N/A

    Effective de th of cross-section d mm N/A

    2ect ve area o re n orcement n tens on e mm

    Shear parameter N/A

    Design concrete strength in compression fcd MPa N/A

    Characteristic concrete stren th in com ression fck MPa N/A

    es gn s ear res s ance Rd1

    Design shear resistance VRd2 kN N/A

    (EN 1992-1-1:2004, Clause 4.3.2.3)

    Ves *

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    z1,2 mm 166.9Lever arm for STELDEK at 1/6 span

    at 1/3 s an z1 3 mm 158.8 , .

    , .

    ever arm or pos t ve re n orcement at span z2,2 mm .

    at 1/3 span z2,3 mm 101.3

    at 1/2 span z2,4 mm 98.1

    a span , m .

    at 1/3 span MRd,3 kNm 44.2

    at 1/2 span MRd,4 kNm 57.1

    x

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    Deflection limit for incremental loads inc mm 3.34

    Second moment of area, STELDEK ,

    ep o concre e cross sec on n compress on, pos ve y+cc,uncrac e mm .

    Gross second moment of area of concrete I+g mm 498012961

    cross section, positive

    De th of concrete cross section in com ression ositive +cc cracked mm 49.8, , .+ 4

    rac e secon momen o area o concre e cracked mm

    cross section, positive

    Bending moment causing cracking, positive M+cr kNm 16.27

    +.

    serv cea y oa , pos ve

    Effective second moment of area of concrete I+ef mm 498012961

    cross section, positive

    -ep o concre e cross sec on n compress on, nega ve y cc,uncracked mm .

    Gross second moment of area of concrete I-g mm

    4436172132

    cross section, ne ative,-

    , , .

    - 4Cracked second moment of area of concrete I-cracked mm 48130578cross section, negative

    Bendin moment causin crackin ne ative M-cr kNm 16.76, .-

    en ng momen ase on s or erm s m .

    serviceability load, negative

    Effective second moment of area of concrete I-ef mm

    4261703279

    cross section ne ative,4

    ec ve secon momen o area o concre e, o a ef mm

    Deflections due to total load, propped tot,pr mm N/A

    Deflections due to total load, un ro ed tot,un r mm 0.09, , .

    , ,

    ----[ 10 ]----

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    ResultsProject Name:

    STELDEK

    Typical - End SpanDesign Output

    Spans

    Parameter Notation Single End Interior

    Slab thickness D,cs (mm) 175

    Top (negative) reinforcement over supports: A-s (mm

    2) 310

    Pattern of negative reinforcement Pattern 2

    Concrete cover c (mm) 30

    Transverse (shrinkage/temperature effects)

    reinforcement, additional for D500L, total for D500N Ashr (mm2) 40

    Fire reinforcement (additional to

    shrinkage and negative reinforcement) Afire (mm2) 0

    Bottom tensile (positive) reinforcement A+,mid (mm2) 0

    (additional to STELDEK sheeting)

    Number of temporary props 0

    Input parameters

    Type of Buildings Steel Frame Negative Reinforcement 12mm

    Diameter

    Span Configuration End Spans Negative Reinforcement Grade D500N

    Continuous Spans More than four spans

    Exposure Classification A1 D,cs -

    Ll/Ls 1

    Deflection Limits of Total

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    STELDEKTypical

    INPUT PARAMETERS:

    T e of buildin Steel frames

    ont nuous spans ore t an our spans

    Ratio of shorter to longer spans 1

    Slab thickness Dc mm 1753

    oncre e gra e a

    Concrete slab span, centre to centre L mm 1637

    Exposure classification A1

    (AS 3600-2009, Table 4.3)

    Reinforcement ne ative ositive fire rade D500N, ,

    -- , . .e n orc ng pos t ve, re ar ameter mm 2

    Reinforcing negative bar diameter mm 12

    Deflection limits of composite slabs Total

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    Number of tem orar ro s 0

    PROPERTIES OF STELDEK:

    Moment capacity in positive bending M+

    u kNm 7.99-

    u .

    (used in partial plastic analysis)

    Shear (web crippling) capacity Vu kN 42.2

    4or serv cea ty ca cs. e ,ser mm .

    Yield stress fy MPa 550.0

    AS/NZS 4600:2005 Table 1.5, .

    '

    : , a e .

    DESIGN LOADS:

    Self wei ht of sheetin Gsh kPa 0.13..

    oncen ra e ve oa c a .

    Concentrated Live Load UDL equivalent c,equiv kPa 3.00

    Load from stacked materials M kPa 4.0

    Live Load Quv kPa 1.0

    AS 3610-1995 Clause 4.4, .

    .

    e we g o re n orcemen r a .

    (AS 2327.1-2003, Clause F2)

    LOAD COMBINATIONS:

    age e ore p ac ng concre e :

    * *Fdla = 1.2*Gsh+1.5*Quv+1.5QM kPa 7.7

    Fdlb = 1.2*Gsh+1.5*Qr+Qp

    Stage 2(after placing concrete):

    Fdlla = 1.2*Gsh+1.2Gc+1.5*Quv kPa 6.8. . . .

    *= . s + . c+ c .

    erv cea ty:

    Fdef = Gsh+Gc kPa 4.4

    (AS 3610-1995, Table 4.5.1)

    *ax mum pos ve en ng momen m .

    M*

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    MATERIAL PROPERTIES AND SLAB GEOMETRY:

    STELDEK sheeting yield stress y,sh a

    Yield stress of reinforcing bars fy,bar MPa 500

    Longitudinal shear capacity u,Rd MPa 497.80

    EN 1994-1-1:2005, Clause B.3.6, . .

    .ong erm s r n age an creep ac or sc .

    (AS 3600-2009, Clause 8.5.3.2)

    Modulus of elasticity of concrete Ec MPa 28600

    (AS 3600-2009, Clause 3.1.2)

    Shrinkage induced tensile stress cs MPa 0.6271(AS 3600-2009, Clause 8.5.3.1)( , )

    hr mm 55Depth of STELDEK

    sh effDistance from centroidal axis of STELDEK , .

    to extreme fibre in tensionto extreme fibre in tension

    Effective cross-sectional area of STELDEK Ape mm 1601

    (EN 1994-1-1:2005, Clause 9.7.2)( 99 005, C ause 9 )

    oncre e s a se we g a .

    (concrete, reinforcement and sheeting)

    Superimposed Dead Load Gsup kPa 5

    Live Load Q kPa 20

    :

    * *trengt : u= .2 + . a spans, a ucent, a ternate spans a .

    1) Fu=1.5*G (the rest of spans) kPa 11.18

    (AS/NZS 1170.0:2002)

    AS 3600-2009 Clause 2.4.4, . .= * *= . . , , .

    *u= . e res o spans a .

    (EN 1990:2002, Section 6)

    Deflections:

    Total ro ed Fs,t = 1+ksc)G + s + kcs l Q kPa N/A ,

    = , .

    s, p = sc + s + cs a

    ncrementa unproppe s,iup = sc sup + s + csl kPa 37.35

    (AS 3600-2009, Clause 8.5)

    DESIGN FOR STRENGTH:

    2Area of additional positive reinforcement A,pos mm 0

    Area of mesh in longitudinal direction A.mesh mm2

    0

    contributin to sa in bendin resistance2

    rea o a ona nega ve re n orcemen over ,neg mm

    supports

    ACTION EFFECTS:

    Bendin Moment at 1/6 s an M2** kNm 6.0.

    ** .

    **en ng oment at 2 span 4 m .

    Maximum shear force at end support Vesp* kN 22.9

    (EN 1990;2002, Section 6)

    ** .

    ----[ 14 ]----

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    Maximum shear force at interior support Visp* kN 34.1

    AS/NZS 1170.0:2002.

    -- , . .

    POSITIVE SHEAR CAPACITY :

    Basic design shear strength u,Rd MPa 497.80

    Effective de th of cross-section d mm 161.357.

    .2

    ect ve area o re n orcement n tens on e mm 7 .

    Shear parameter 0.54

    Design concrete strength in compression fcd MPa 21.3

    Characteristic concrete stren th in com ression fck MPa 32

    es gn s ear res s ance Rd1 .

    Design shear resistance VRd2 kN 744.5

    (EN 1992-1-1:2004, Clause 4.3.2.3)

    Ves *

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    Lever arm for Bondek at 1/6 span z1,2 mm 172.3

    at 1/3 s an z1 3 mm 165.1 , .

    , .

    ever arm or pos t ve re n orcement at span z2,2 mm .

    at 1/3 span z2,3 mm 103.7

    at 1/2 span z2,4 mm 100.9

    a span , m .

    at 1/3 span MRd,3 kNm 31.9

    at 1/2 span MRd,4 kNm 45.8

    x

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    Deflection limit for incremental loads inc mm 3.34

    , ,

    ep o concre e cross sec on n compress on, pos ve y+cc,uncrac e mm .

    Gross second moment of area of concrete I+g mm 498012961

    cross section, positive

    De th of concrete cross section in com ression ositive +cc cracked mm 49.8, , .+ 4

    rac e secon momen o area o concre e cracked mm

    cross section, positive

    Bending moment causing cracking, positive M+cr kNm 16.27

    +.

    serv cea y oa , pos ve

    Effective second moment of area of concrete I+ef mm 498012961

    cross section, positive

    -ep o concre e cross sec on n compress on, nega ve y cc,uncracked mm .

    Gross second moment of area of concrete I-g mm

    4436172132

    cross section, ne ative,-

    , , .

    - 4Cracked second moment of area of concrete I-cracked mm 48130578cross section, negative

    Bendin moment causin crackin ne ative M-cr kNm 16.76, .-

    en ng momen ase on s or erm s m .

    serviceability load, negative

    Effective second moment of area of concrete I-ef mm

    4261703279

    cross section ne ative,4

    ec ve secon momen o area o concre e, o a ef mm

    Deflections due to total load, propped tot,pr mm N/A

    Deflections due to total load, un ro ed tot,un r mm 0.18, , .

    , ,