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  • 8/19/2019 Villa Design Document

    1/18

    SheetJob Number 

    Job Title

    Client

    Calcs by Checked by Date

    Software Consultants (Pty) Ltd

    Internet: http://www.prokon.com

    E-Mail : [email protected]

    Continuous Beam: FBD-1  (Code of Practice : BS8110 - 1997) C013/16/2016 2:51:54 PM

    Input Tables

    Fcu (MPa)

    Fy (MPa)

    Fyv (MPa)

    % Redistribution

    Downward/Optimized redistr.

    Cover to centre top steel(mm)

    Cover to centre bot.steel(mm)

    Dead Load Factor 

    Live Load Factor 

    Density of concrete (kN/m3)

    % Live load permanent

    Ø (Creep coefficient)

    Ecs (Free shrinkage strain)

    40

    460

    460

    0

    D

    40

    40

    1.4

    1.6

    24

    25

    2

    300E-6

    SecNo.

     Bw(mm)

     D(mm)

    Bf-top (mm)

    Hf-top (mm)

    Bf-bot (mm)

    Hf-bot (mm)

    Y-offset (mm)

    Weboffset

    Flangeoffset

    1 200 600

    SpanNo

    SectionLength(m)

    Sec NoLeft

    Sec NoRight

    1 4.5 1 1

    SupNo.

    CodeC,F

    Column Below CodeF,P

    Column above CodeF,P

    D(mm) B(mm) H(m) D(mm) B(mm) H(m)

    1 F

    2 F

    Case D,L

    Span 

    Wleft(kN/m)

    Wright(kN/m)

     a(m)

     b(m)

     P(kN)

     a(m)

      M(kNm)

     a(m)

    D 1 26.81

    L 1 6.87

    Span 

    M left(kNm)

    M right(kNm)

     

  • 8/19/2019 Villa Design Document

    2/18

    SheetJob Number 

    Job Title

    Client

    Calcs by Checked by Date

    Software Consultants (Pty) Ltd

    Internet: http://www.prokon.com

    E-Mail : [email protected]

    Elastic Deflections (Alternate spans loaded) Def max = .3873mm @ 2.25m

    .350

    .300

    .250

    .200

    .150

    .100

    .050

     

      .        2        0        0

      .        4        0        0

      .        6        0        0

      .        8        0        0

            1  .

            0        0

            1  .

            2        0

            1  .

            4        0

            1  .

            6        0

            1  .

            8        0

            2  .

            0        0

            2  .

            2        0

            2  .

            4        0

            2  .

            6        0

            2  .

            8        0

            3  .

            0        0

            3  .

            2        0

            3  .

            4        0

            3  .

            6        0

            3  .

            8        0

            4  .

            0        0

            4  .

            2        0

            4  .

            4        0

    Deflection, Shear, Moment and Steel diagrams. Span 1

    Long-term Deflections (All spans loaded - using required reinforcement) Def max = 3.608mm @ 2.25m

    3.50

    3.00

    2.50

    2.00

    1.50

    1.00

    .500

     

      .        2        0        0

      .        4        0        0

      .        6        0        0

      .        8        0        0

            1  .        0

            0

            1  .        2

            0

            1  .        4

            0

            1  .        6

            0

            1  .        8

            0

            2  .        0

            0

            2  .        2

            0

            2  .        4

            0

            2  .        6

            0

            2  .        8

            0

            3  .        0

            0

            3  .        2

            0

            3  .        4

            0

            3  .        6

            0

            3  .        8

            0

            4  .        0

            0

            4  .        2

            0

            4  .        4

            0

    SHEAR: X-X V max = 118.3kN @ 0.00m

    -100

    -50.0

    50.0

    100

      .        2        0        0

      .        4        0        0

      .        6        0        0

      .        8        0        0

            1  .        0

            0

            1  .        2

            0

            1  .        4

            0

            1  .        6

            0

            1  .        8

            0

            2  .        0

            0

            2  .        2

            0

            2  .        4

            0

            2  .        6

            0

            2  .        8

            0

            3  .        0

            0

            3  .        2

            0

            3  .        4

            0

            3  .        6

            0

            3  .        8

            0

            4  .        0

            0

            4  .        2

            0

            4  .        4

            0

    MOMENTS: X-X M max = -88.69kNm @ 0.00m

    40.0

    20.0

    -20.0

    -40.0

    -60.0

    -80.0

       .        2

            0        0

      .        4        0        0

      .        6        0        0

      .        8        0        0

            1  .

            0        0

            1  .

            2        0

            1  .

            4        0

            1  .

            6        0

            1  .

            8        0

            2  .

            0        0

            2  .

            2        0

            2  .

            4        0

            2  .

            6        0

            2  .

            8        0

            3  .

            0        0

            3  .

            2        0

            3  .

            4        0

            3  .

            6        0

            3  .

            8        0

            4  .

            0        0

            4  .

            2        0

            4  .

            4        0

    Shear Steel: X-X Asv max = .1831mm²/mm @ 0.00m

    .020

    .040

    .060

    .080

    .100

    .120

    .140

    .160

    .180

     

      .        2        0        0

      .        4        0        0

      .        6        0        0

      .        8        0        0

            1  .        0

            0

            1  .        2

            0

            1  .        4

            0

            1  .        6

            0

            1  .        8

            0

            2  .        0

            0

            2  .        2

            0

            2  .        4

            0

            2  .        6

            0

            2  .        8

            0

            3  .        0

            0

            3  .        2

            0

            3  .        4

            0

            3  .        6

            0

            3  .        8

            0

            4  .        0

            0

            4  .        2

            0

            4  .        4

            0

    Bending Steel: X-X As max = -381.5mm2 @ 0.00m

    100

    -100

    -200

    -300

    -400

     

      .        2        0        0

      .        4        0        0

      .        6        0        0

      .        8        0        0

            1  .

            0        0

            1  .

            2        0

            1  .

            4        0

            1  .

            6        0

            1  .

            8        0

            2  .

            0        0

            2  .

            2        0

            2  .

            4        0

            2  .

            6        0

            2  .

            8        0

            3  .

            0        0

            3  .

            2        0

            3  .

            4        0

            3  .

            6        0

            3  .

            8        0

            4  .

            0        0

            4  .

            2        0

            4  .

            4        0

  • 8/19/2019 Villa Design Document

    3/18

    SheetJob Number 

    Job Title

    Client

    Calcs by Checked by Date

    Software Consultants (Pty) Ltd

    Internet: http://www.prokon.com

    E-Mail : [email protected]

      COLUMN REACTI ONS

      Suppor t Dead Load(kN) Li ve Load(kN) Dead + Li ve(kN) Ul t i mate( kN)

      1 66. 80 15. 46 82. 26 118. 26  2 66. 80 15. 46 82. 26 118. 26

      - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

      COLUMN MOMENTS (Ul t i mat e l i mi t st at e)

      Col umns bel ow

      Support Bendi ng Moment ( kNm) Shear For ce ( kN)  No. Mi n. Max. Mi n. Max.

      1 0. 00 0. 00 0. 00 0. 00  2 0. 00 0. 00 0. 00 0. 00

      Col umns above

      Support Bendi ng Moment ( kNm) Shear For ce ( kN)  No. Mi n. Max. Mi n. Max.

      1 0. 00 0. 00 0. 00 0. 00  2 0. 00 0. 00 0. 00 0. 00

      - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

  • 8/19/2019 Villa Design Document

    4/18

    SheetJob Number 

    Job Title

    Client

    Calcs by Checked by Date

    Software Consultants (Pty) Ltd

    Internet: http://www.prokon.com

    E-Mail : [email protected]

    Continuous Beam: FBD-2  (Code of Practice : BS8110 - 1997) C013/16/2016 2:49:00 PM

    Input Tables

    Fcu (MPa)

    Fy (MPa)

    Fyv (MPa)

    % Redistribution

    Downward/Optimized redistr.

    Cover to centre top steel(mm)

    Cover to centre bot.steel(mm)

    Dead Load Factor 

    Live Load Factor 

    Density of concrete (kN/m3)

    % Live load permanent

    Ø (Creep coefficient)

    Ecs (Free shrinkage strain)

    40

    460

    460

    0

    D

    40

    40

    1.4

    1.6

    24

    25

    2

    300E-6

    SecNo.

     Bw(mm)

     D(mm)

    Bf-top (mm)

    Hf-top (mm)

    Bf-bot (mm)

    Hf-bot (mm)

    Y-offset (mm)

    Weboffset

    Flangeoffset

    1 200 600

    SpanNo

    SectionLength(m)

    Sec NoLeft

    Sec NoRight

    1 6 1 1

    SupNo.

    CodeC,F

    Column Below CodeF,P

    Column above CodeF,P

    D(mm) B(mm) H(m) D(mm) B(mm) H(m)

    1 F

    2 F

    Case D,L

    Span 

    Wleft(kN/m)

    Wright(kN/m)

     a(m)

     b(m)

     P(kN)

     a(m)

      M(kNm)

     a(m)

    D 1 13.50

    L 1 5.62

    Span 

    M left(kNm)

    M right(kNm)

     

  • 8/19/2019 Villa Design Document

    5/18

    SheetJob Number 

    Job Title

    Client

    Calcs by Checked by Date

    Software Consultants (Pty) Ltd

    Internet: http://www.prokon.com

    E-Mail : [email protected]

    Elastic Deflections (Alternate spans loaded) Def max = .7366mm @ 3.00m

    .700

    .600

    .500

    .400

    .300

    .200

    .100

     

     .        2        0        0

     .        4        0        0

     .        6        0        0

     .        8        0        0

            1 .

            0        0

            1 .

            2        0

            1 .

            4        0

            1 .

            6        0

            1 .

            8        0

            2 .

            0        0

            2 .

            2        0

            2 .

            4        0

            2 .

            6        0

            2 .

            8        0

            3 .

            0        0

            3 .

            2        0

            3 .

            4        0

            3 .

            6        0

            3 .

            8        0

            4 .

            0        0

            4 .

            2        0

            4 .

            4        0

            4 .

            6        0

            4 .

            8        0

            5 .

            0        0

            5 .

            2        0

            5 .

            4        0

            5 .

            6        0

            5 .

            8        0

            6 .

            0        0

    Deflection, Shear, Moment and Steel diagrams. Span 1

    Long-term Deflections (All spans loaded - using required reinforcement) Def max = 6.617mm @ 3.00m

    6.00

    5.00

    4.00

    3.00

    2.00

    1.00

     

     .        2        0        0

     .        4        0        0

     .        6        0        0

     .        8        0        0

            1 .        0

            0

            1 .        2

            0

            1 .        4

            0

            1 .        6

            0

            1 .        8

            0

            2 .        0

            0

            2 .        2

            0

            2 .        4

            0

            2 .        6

            0

            2 .        8

            0

            3 .        0

            0

            3 .        2

            0

            3 .        4

            0

            3 .        6

            0

            3 .        8

            0

            4 .        0

            0

            4 .        2

            0

            4 .        4

            0

            4 .        6

            0

            4 .        8

            0

            5 .        0

            0

            5 .        2

            0

            5 .        4

            0

            5 .        6

            0

            5 .        8

            0

            6 .        0

            0

    SHEAR: X-X V max = 95.77kN @ 0.00m

    -80.0

    -60.0

    -40.0

    -20.0

    20.0

    40.0

    60.0

    80.0

    100

     .        2        0        0

     .        4        0        0

     .        6        0        0

     .        8        0        0

            1 .        0

            0

            1 .        2

            0

            1 .        4

            0

            1 .        6

            0

            1 .        8

            0

            2 .        0

            0

            2 .        2

            0

            2 .        4

            0

            2 .        6

            0

            2 .        8

            0

            3 .        0

            0

            3 .        2

            0

            3 .        4

            0

            3 .        6

            0

            3 .        8

            0

            4 .        0

            0

            4 .        2

            0

            4 .        4

            0

            4 .        6

            0

            4 .        8

            0

            5 .        0

            0

            5 .        2

            0

            5 .        4

            0

            5 .        6

            0

            5 .        8

            0

            6 .        0

            0

    MOMENTS: X-X M max = -95.77kNm @ 0.00m

    40.0

    20.0

    -20.0

    -40.0

    -60.0

    -80.0

    -100

      .

            2        0        0

     .        4        0        0

     .        6        0        0

     .        8        0        0

            1 .        0

            0

            1 .        2

            0

            1 .        4

            0

            1 .        6

            0

            1 .        8

            0

            2 .        0

            0

            2 .        2

            0

            2 .        4

            0

            2 .        6

            0

            2 .        8

            0

            3 .        0

            0

            3 .        2

            0

            3 .        4

            0

            3 .        6

            0

            3 .        8

            0

            4 .        0

            0

            4 .        2

            0

            4 .        4

            0

            4 .        6

            0

            4 .        8

            0

            5 .        0

            0

            5 .        2

            0

            5 .        4

            0

            5 .        6

            0

            5 .        8

            0

            6 .        0

            0

    Shear Steel: X-X Asv max = .1831mm²/mm @ 0.00m

    .020

    .040

    .060

    .080

    .100

    .120

    .140

    .160

    .180

     

     .        2        0        0

     .        4        0        0

     .        6        0        0

     .        8        0        0

            1 .        0

            0

            1 .        2

            0

            1 .        4

            0

            1 .        6

            0

            1 .        8

            0

            2 .        0

            0

            2 .        2

            0

            2 .        4

            0

            2 .        6

            0

            2 .        8

            0

            3 .        0

            0

            3 .        2

            0

            3 .        4

            0

            3 .        6

            0

            3 .        8

            0

            4 .        0

            0

            4 .        2

            0

            4 .        4

            0

            4 .        6

            0

            4 .        8

            0

            5 .        0

            0

            5 .        2

            0

            5 .        4

            0

            5 .        6

            0

            5 .        8

            0

            6 .        0

            0

    Bending Steel: X-X As max = -412.0mm2 @ 0.00m

    100

    -100

    -200

    -300

    -400

     

     .        2        0        0

     .        4        0        0

     .        6        0        0

     .        8        0        0

            1 .

            0        0

            1 .

            2        0

            1 .

            4        0

            1 .

            6        0

            1 .

            8        0

            2 .

            0        0

            2 .

            2        0

            2 .

            4        0

            2 .

            6        0

            2 .

            8        0

            3 .

            0        0

            3 .

            2        0

            3 .

            4        0

            3 .

            6        0

            3 .

            8        0

            4 .

            0        0

            4 .

            2        0

            4 .

            4        0

            4 .

            6        0

            4 .

            8        0

            5 .

            0        0

            5 .

            2        0

            5 .

            4        0

            5 .

            6        0

            5 .

            8        0

            6 .

            0        0

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      COLUMN REACTI ONS

      Suppor t Dead Load(kN) Li ve Load(kN) Dead + Li ve(kN) Ul t i mate( kN)

      1 49. 14 16. 86 66. 00 95. 77  2 49. 14 16. 86 66. 00 95. 77

      - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

      COLUMN MOMENTS (Ul t i mat e l i mi t st at e)

      Col umns bel ow

      Support Bendi ng Moment ( kNm) Shear For ce ( kN)  No. Mi n. Max. Mi n. Max.

      1 0. 00 0. 00 0. 00 0. 00  2 0. 00 0. 00 0. 00 0. 00

      Col umns above

      Support Bendi ng Moment ( kNm) Shear For ce ( kN)  No. Mi n. Max. Mi n. Max.

      1 0. 00 0. 00 0. 00 0. 00  2 0. 00 0. 00 0. 00 0. 00

      - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

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     C13COLUMN-C1

       0   1   0   0

       2   0   0

    400

    300

    200

    100

    0

    -100

    X X

    Y

    Y

    BS8110 - 1997General column design by PROKON. (GenCol Ver W2.3.03 - 10 Jul 2007)

    Design code : BS8110 - 1997

    General design parameters:Given:  Lo = 3.500 m  fcu = 40 MPa  fy = 460 MPa  Ac = 78392 mm²

     Assumptions:  (1) The general conditions of clause 3.8.1 are applicable.  (2) The specified design axial loads include  the self-weight of the column.  (3) The design axial loads are taken constant  over the height of the column.

    Design approach:The column is designed using an iterative procedure:  (1) An area of reinforcement is chosen.  (2) The column design charts are constructed.  (3) The corresponding slenderness moments are calculated.  (4) The design axis and design ultimate moment are determined .  (5) The design axial force and moment capacity is checked on  the relevant design chart.  (6) The safety factor is calculated for this load case.

    Check column slenderness:

    End fixity and bracing for bending about the Design axis:  At the top end: Condition 2 (partially fixed).  At the bottom end: Condition 2 (partially fixed).  The column is unbraced.ß = 1.50 Table 3.19

    Effective column height:  le = ß Lo = 5.250 m

    Check if the column is slender: 3.8.1.3  le/h = 26.2 > 10 The column is slender.

    Initial moments:The initial end moments about the X-X axis:  M1 = Smaller initial end moment = 0.0 kNm  M2 = Larger initial end moment = 0.0 kNm

    The initial moment near mid-height of the column : 3.8.3.2 Mi = 0.4M1 + 0.6M2   0.4M2 = 0.0 kNm

    The initial end moments about the Y-Y axis:  M1 = Smaller initial end moment = 0.0 kNm  M2 = Larger initial end moment = 0.0 kNm

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    The initial moment near mid-height of the column : 3.8.3.2 Mi = 0.4M1 + 0.6M2   0.4M2 = 0.0 kNm

    Deflection induced moments: 3.8.3.1Design ultimate capacity of section under axial load only:

      Nuz = 0.45 fcu

     Ac + 0.95

     fy Asc = 2114.0 kN

    Maximum allowable stress and strain:  Allowable compression stress in steel, fsc = 0.95 fy = 437.0 MPa  Allowable tensile stress in steel, fst = 0.95 fy = 437.0 MPa  Allowable tensile strain in steel, ey = fst/Es = 0.0015 m/m  Allowable compressive strain in concrete, ec = 0.0035 m/m

    For bending about the weakest axis:  Weakest axis lies at an angle of -90.12° to the X-X axis  Overall dimension perpendicular to weakest axis h-dc = 153mm  Balanced neutral axis depth, xb = ec/(ec+es) (h-dc) =106.4 mm  Nbal = 0.44 b fcu xbal + (Ast fs + Asc fsd) = 680.3 kN  K = (Nuz - N) / (Nuz - Nbal) = 1.000 1.0

      ßa = (1/2000) (le/h)² = 0.343 Madd = N ßa K h = 14.8 kNm Maddx = Madd*cos(-90.12°) = 0.0 kNm Maddy = Madd*sin(-90.12°) = 14.8 kNm

    Design ultimate load and moment:Design axial load:  Pu = 215.0 kN

    For bending about the X-X axis, the maximum design moment is the greatest of: 3.8.3.7  (a) M2 + Maddx = 0.0 kNm  (b) emin N = 2.2 kNm Mx = 0.0 kNm

    Mxadd=0.0 kNm

    Mxadd=0.0 kNm

    Mxtop=0.0 kNm

    Mxbot=-0.0 kNm

    Moments about X-X axis( kNm)

    Initial Additional Design

    Mx=0.0 kNm

    Mxmin=2.1 kNm

    + =

    For bending about the Y-Y axis, the maximum design moment is the greatest of: 3.8.3.7  (a) M2 + Maddy = 14.8 kNm  (b) emin N = 2.2 kNm My = 14.8 kNm

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    Mytop=0.0 kNm

    Mybot=-0.0 kNm

    Moments about Y-Y axis( kNm)

    Initial Additional Design

    My=14.8 kNm

    Mymin=2.1 kNm

    + =

    Check for miminum eccentricity: 3.8.2.4  Check that the eccentricity exceeds the minimum in the plane of bending:  Use emin = 20mm

     Mmin = 2.2 kNm about the X-X axis.

    Design of column section for ULS:

    The column is checked for applied moment about the design axis.  Through inspection: the critical section lies at the top end of the column.  The design axis for the critical load case 1 lies at an angle of 90.12° to the X-axis  The safety factor for the critical load case 1 is 4.33

    For bending about the design axis:

    Interaction Diagram

       M  o  m  e  n   t  m  a  x  =   7   1 .   9

       1   k   N  m   @

        6   5   7   k   N

    -600

    -400

    -200

    200

    400

    600

    800

    1000

    1200

    1400

    1600

    1800

    2000

     

      -   9   0 .   0

      -   8   0 .   0

      -   7   0 .   0

      -   6   0 .   0

      -   5   0 .   0

      -   4   0 .   0

      -   3   0 .   0

      -   2   0 .   0

      -   1   0 .   0

       0 .   0

       0

       1   0 .   0

       2   0 .   0

       3   0 .   0

       4   0 .   0

       5   0 .   0

       6   0 .   0

       7   0 .   0

       8   0 .   0

       9   0 .   0

       1   0   0   A

      x   i  a   l   l  o  a   d   (   k   N   )

    Bending moment (kNm)

    215 kN

       1   5   k   N  m

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    Moment distribution along the height of the column for bending about the design axis:  At the top, Mx = 14.8 kNm  Near mid-height, Mx = 2.1 kNm  At the bottom, Mx = 14.8 kNm

    Stresses at the top end of the column for the crit ical load case 1

       0   1   0   0

       2   0   0

    400

    300

    200

    100

    0

    -100

    X X

    Y

    Y

    BS8110 - 1997

    90.1°

    D

    D

    Summary of design calculations:

    Design results for all load cases:

    Load case Axis N (kN) M1 (kNm) M2 (kNm) Mi (kNm) Madd (kNm) Design M (kNm) M' (kNm)Safetyfactor 

      Load case 1  DL

    X-XY-Y 215.0

    0.00.0

    0.00.0

    0.00.0

    0.014.8 Top

    0.014.8 14.8 4.333

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     Project Spreadsheets to BS 8110  REINFORCED CONCRETE

    COUNCIL

     Client  Made by Date Page

     Location first floor slab from 1 to 5a rmw 16-Mar-16 43

    RIBBED SLABS to BS 8110:1997 (Analysis & Design)  Checked Revision Job No

    Originated from RCC32.xls on CD © 1999 BCA for RCC chg - R68

     LOCATION Supports from grid 1 to grid 5a  

    MATERIALS COVERS (to links, or if no links, to reinf)

    fcu 30 N/mm² h agg 20 mm Top cover  20 mm

    fy 460 N/mm²   m 1.05 steel Btm cover  20 mm

    fyv 460 N/mm²   m 1.50 concrete Side cover  20 mm

    Density 25 kN/m³ (Normal weight concrete) RIBS

    slab depth, hf  100 mm

     SPANS Solid (mm) Rib width 180 mm

    L (m) H (mm) Left Right Centres 600 mm

    SPAN 1 4.500 250 450 450   1 in 10 taper 

    SPAN 2 SUPPORTS

    SPAN 3 Support N Type

    SPAN 4 1 ESPAN 5 2 E

    SPAN 6 K(nife), C(antilever) or  E(ncastre)

     LOADIN UDLs (kN/m²) PLs (kN/m) Position (m)

    Self Add Dead Imposed Position Self Add Dead Imposed Position

    Span 1 Weight Load Load from left Span 4 Weight Load Load from left

    UDL 4.23 3.50 2.00 ~~~~ UDL   ~~~~

    PL 1 ~~~~ PL 1   ~~~

    PL 2 ~~~~ PL 2   ~~~

    Span 2 ~ ~ ~ ~ Span 5 ~ ~ ~ ~

    UDL ~~~~ UDL

    PL 1 ~~~~ PL 1   ~~~

    PL 2 ~~~~ PL 2   ~~~

    Span 3 ~ ~ ~ ~ Span 6 ~ ~ ~ ~

    UDL ~~~~ UDL   ~~~~

    PL 1 ~~~~ PL 1   ~~~~

    PL 2 ~~~~ PL 2   ~~~~

     LOADING PATTERN min max

    DEAD 1 1.4

    IMPOSED 0 1.6

     LOADING DIAGRAM

    1 5a

     REACTIONS (kN/m)

    SUPPORT 1 2

    Characteristic Dead 11.6 23.2 ~ ~ ~ ~ ~

    Max Imposed 9.9 -0.9 ~ ~ ~ ~ ~

    Min Imposed 0.5 -9.2 ~ ~ ~ ~ ~

    MAX ULTIMATE 32.1 31.0 ~ ~ ~ ~ ~

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     Project Spreadsheets to BS 8110

     Client 0 Made by Date Page

     Location first floor slab, from 1 to 5a rmw Mar-2016 44

    RIBBED SLABS to BS 8110:1997 (Analysis & Design) Checked Revision Job No

    Originated from RCC32 .xls on CD © 1999 BCA for RCC chg - R68

     BENDING MOMENT DIAGRAMS (kNm/m)

    1 Elastic Moments 5a 1 Redistributed Envelope 5a

    SUPPORT No 1 2

    Elastic M 23.7 23.7 ~ ~ ~ ~ kNm/m

    Redistributed M 23.7 21.3 ~ ~ ~ ~ kNm/m

    ßb 1.000 0.900 ~ ~ ~ ~ ~

    Redistribution 10.0% 0.0% 15.0%

    SPAN No 1

    Elastic M 11.83 ~ ~ ~ ~ ~

    Redistributed M 13.02 ~ ~ ~ ~ ~

    ßb 1.101 #VALUE! #VALUE! #VALUE! #VALUE! #VALUE!

     SHEAR FORCE DIAGRAMS (kN/m)

    1 Elastic Shears 5a 1 Redistributed Shears 5a

    SPAN No 1

    Elastic V 31.5 31.5 ~ ~ ~ ~

    Redistributed V 32.1 31.0 ~ ~ ~ ~

    SPAN No

    Elastic V ~ ~ ~ ~ ~ ~

    Redistributed V ~ ~ ~ ~ ~ ~

    REINFORCED CONCRETE

    COUNCIL

    -15

    -10

    -5

    0

    5

    10

    15

    20

    25

    30

    0 1 2 3 4 5

    -15

    -10

    -5

    0

    5

    10

    15

    20

    25

    30

    0 1 2 3 4 5

    -40

    -30

    -20

    -10

    0

    10

    20

    30

    40

    0 1 2 3 4 5

    -40

    -30

    -20

    -10

    0

    10

    20

    30

    40

    0 1 2 3 4 5

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     Project Spreadsheets to BS 8110 REINFORCED CONCRETE COUNCIL

     Client 0 Made by Date Page

     Location first floor slab, from 1 to 5a rmw 16-Mar-16 45

    RIBBED SLABS to BS 8110:1997 (Analysis & Design) Checked Revision Job No

    Originated from RCC32.xls on CD © 1999 BCA for RCC chg - R68

     SPAN 1 LEFT CENTRE RIGHT ACTIONS M kNm/m 23.7 13.0 21.3

    ßb 1.00 1.10 0.90

    DESIGN d mm 218.0 214.0 214.0

     As mm² 156 88 143

     As' mm² 0 As' 0 As' 0

    TOP STEEL 2 T 12 /rib 1 T 16 /rib 2 T 20 /rib

    + 2 T8 between + 2 T8 between

     As prov mm² 327 As' prov 201 As prov 729

    BTM STEEL 1 T 16 /rib 1 T 20 /rib 1 T 12 /rib

     As' prov mm² 201 As prov 314 As' prov 113

    SHEAR V kN/m 32.06 V 31.01v N/mm² 0.377 v 0.369

    vc N/mm² 0.633 Link Ø 6 vc 0.900

    LINKS . 2T6 @ 1,200 .

    DEFLECTION L/d 21.028 Allowed 47.779 ok

    & CHECKS % As ok ok ok

    Bar Ø & cover  ok ok ok

    Bar spacing ok ok ok

    Dist to link ok ok ok

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    Column Base Design : FOOTING-F1 DESIGN C15

    Input Data

    Base length A (m)

    Base width B (m)

    Column(s)

    C (m)

    D (m)

    E (m)

    F (m)

    Stub column height X (m)

    Base depth Y (m)

    Soil cover Z (m)

    Concrete density (kN/m3)

    Soil density (kN/m3)

    Soil friction angle (°)

    Base friction constant

    Rebar depth top X (mm)Rebar depth top Y (mm)

    Rebar depth bottom X (mm)

    Rebar depth bottom Y (mm)

    ULS ovt. LF: Self weight

    ULS LF: Self weight

    Max. SLS bearing pr. (kN/m²)

    S.F. Overturning (ULS)

    S.F. Slip (ULS)

    fcu base (MPa)

    fcu columns (MPa)

    fy (MPa)

    1.3

    1.3

    Col 1 Col 2

    0.2

    0.6

    1.0

    0.4

    0.6

    25

    18

    33

    0.4

    5050

    50

    50

    1.4

    1.4

    100

    1.5

    1.5

    40

    40

    460

      Unfactored Loads

    LoadCase

    Colno.

    LFULSovt

    LFULS

    P(kN)

    Hx(kN)

    Hy(kN)

    Mx(kNm)

    My(kNm)

    1 1 1.5 1.5 143

    .

    Sketch of Base

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     A

    X

    Y

    Y

       B

    C1

    D1

    PMx

       Z

    Hx

    Y

    X

    BS8110 - 1997

    Output for Load Case 1

    Output for Load Case 1

    Soil pressure (ULS) (kN/m²) 157.45

    Soil pressure (SLS) (kN/m²) 106.42

    SF overturning (SLS) >100

    SF overturning (ULS) >100

    Safety Factor slip (ULS) >100

    Safety Factor uplift (ULS) >100

    Bottom

    Design moment X (kNm/m) 19.41

    Reinforcement X (mm²/m) 134

    Design moment Y (kNm/m) 7.85

    Reinforcement Y (mm²/m) 54

    Top

    Design moment X (kNm/m) 0.00Reinforcement X (mm²/m) 0

    Design moment Y (kNm/m) 0.00

    Reinforcement Y (mm²/m) 0

    Linear Shear X (MPa) 0.076

    vc (MPa) 0.406

    Linear Shear Y (MPa) 0.000

    vc (MPa) 0.406

    Linear Shear Other (MPa) 0.000

    Punching Shear (MPa) 0.010

    vc (MPa) 0.406

    Cost 0.00

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     1.30

    X

    Y

    Y

        1 .   3

       0

     0.20

     0.60

    PMx

        0 .   6

       0

    Hx

     0.40

     1.00

    106.42 kN/m²

     1.30

    X

    Y

    Y

        1 .   3

       0

     0.20

     0.60

    PMx

        0 .   6

       0

    Hx

     0.40

     1.00

    157.45 kN/m²

    Soil Pressures at ULSSoil Pressures at SLS

    LegendMax M (+)Max M (-)

    Max Shear 

    Load Case:1

    BS8110 - 1997

    Output for Load Case .

    Output for Load Case .Soil pressure (ULS) (kN/m²) 30.53

    Soil pressure (SLS) (kN/m²) 21.81

    SF overturning (SLS) >100

    SF overturning (ULS) >100

    Safety Factor slip (ULS) >100

    Safety Factor uplift (ULS) >100

    Bottom

    Design moment X (kNm/m) 0.21

    Reinforcement X (mm²/m) 1

    Design moment Y (kNm/m) 0.09

    Reinforcement Y (mm²/m) 1

    Top

    Design moment X (kNm/m) 0.00Reinforcement X (mm²/m) 0

    Design moment Y (kNm/m) 0.00

    Reinforcement Y (mm²/m) 0

    Linear Shear X (MPa) 0.001

    vc (MPa) 0.406

    Linear Shear Y (MPa) 0.000

    vc (MPa) 0.406

    Linear Shear Other (MPa) 0.000

    Punching Shear (MPa) 0.000

    vc (MPa) 0.406

    Cost 0.00

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     1.30

    X

    Y

    Y

        1 .   3

       0

     0.20

     0.60

    PMx

        0 .   6

       0

    Hx

     0.40

     1.00

    21.81 kN/m²

     1.30

    X

    Y

    Y

        1 .   3

       0

     0.20

     0.60

    PMx

        0 .   6

       0

    Hx

     0.40

     1.00

    30.53 kN/m²

    Soil Pressures at ULSSoil Pressures at SLS

    LegendMax M (+)Max M (-)

    Max Shear 

    Load Case:.

    BS8110 - 1997

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    Schematic reinforcement of Base

    7Y16-B-200 (B2)

    7Y16-A-200 (B1)

    col1

    PLAN

    SECTION

    B B B B B B B

    3R10-G

    R10-G

    2Y12-F4Y16-E +

    E

    E

    E

    E

    F F

    SECTION: col1