Slab Design Calculations

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    SLAB DESIGN CALCULATIONS

    Project Name : SSE WORKS OFFICE

    Client Name : DHAN

    Engineer Name : RAVI

    Design File : C:\Users\ravitej\Desktop\SSE WORKS OFFICE\SSE WORKS.rcdx

    Analysis File : C:\Users\ravitej\Desktop\SSE WORKS OFFICE\sseworks office.std

    Analysis Last Modified : 04-08-2015 19:54:10

     

    NOTES:

    1. Slab is designed as per 1 M width of panel.

    2. Density Of concrete assumed as 25 KN/Cum.

    3. Maximum spacing of Main steel is smaller of 3*Deff and 300mm

    4. Maximum spacing of Distribution steel is smaller of 5*Deff and 450mm

    5. All 6 mm diameter bars assumed of Fe250 grade with Fy=250 N/sq.mm

     

    Definitions Of Terms: :

    1. α = Coefficient of Thermal Expansion

    2. acr = Distance from the point considered to the surface of thenearest longitudinal bar

    3. εm = Average steel strain at level considered

    4. ε1 =Strain at level considered,Calculated ignoring the stiffening ofthe concrete in tension zone

    5. ρact = Percentage steel provided

    6. ρcrit = Percentage steel critical as per code

    7. BM = Bending moment in KNM

    8. D = Overall depth of slab in mm

    9. Deff = Effective depth of slab in mm

    10. Ec = Modulus of elasticity of concrete

    11. Es = Modulus of elasticity of steel

    12. Fck = Characteristic compressive strength of concrete cube inN/SqMM

    13. Fst = Stress in steel

    14. Fy = Yield Stress Of Steel in N/SqMM

    15. Mu = Factored Bending moment in KNM

    16. Sp = Spacing Between bars at outer most layer17. Tc = Permissible Shear stress in concrete in N/Sqmm

    18. Temp1 = Peak Hydration temperature

    19. Temp2 = Seasonal Temperature Variations

    20. Tv = Shear stress due to Vu in N/Sqmm

    21. V = Shear force in KN

    22. Vu = Factored shear force in KN

    23. Wcr = Surface Crack Width

     

    Code References :

    IS 456

     

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      ELEMENT CLAUSE / TABLE

    1. Moment Coeffs For 2-Way Slabs : Greschoff-Rankine Formulation and yield line theory

    2. Ptmin : 26.5.2.1

    3. Ptcalculated : 38

    4. Shear Strength Of Concrete : 40.3

    5. Modification Factor for Shear : 40.2.1.1

    6. Max Nominal Shear Stress : 40.2.3

    7. Basic Span To Depth Ratio : 23.2.18. Tensile Steel Factor : 23.2.1

    9. Compression Steel Factor : 23.2.1

    10. Flange correction factor : 23.2.1

    11. spacing between main bars : 26.3.3

    12. spacing between distribution bars : 26.3.3

    13. crack width calculation : Annex-F

    14. cracking : Clause 35.3.2

     

    BS 8007 (For Early / Initial Thermal Cracking)

      ELEMENT CLAUSE / TABLE

    1. Surface Zone for suspended slab : Figure A.1

    2. Surface Zone for ground slab : Figure A.2

    3.Factors for the calculation ofminimum reinforcement

    : Table A.1

     

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    Slab No. : S1

    Level = 3.35m

    Design Code = IS Code

    Grade Of Concrete = M25 N/Sqmm

    Grade Of Steel = Fe415 N/Sqmm

    Clear Cover = 20.000 mm

    Long Span, Ly = 5.730 M

    Short Span, Lx = 4.230 MImposed Load = 1.000 KN/Sqm

    Live Load = 4.000 KN/Sqm

    Slab Thickness = 150.000 mm

    Effective Depth Along LX, Deffx = 125.000 mm

    Effective Depth Along LY, Deffy = 115.000 mm

    Self Weight = 3.750 KN/Sqm

    Total Load, TL = 8.750 KN/Sqm

    Span = 2-Way

    Panel Type = Two Adjacent Edges Discontinuous

     

    Design Moments:

    Short Span Positive Moment At Midspan -

    Moment Coefficient = 0.054

    BM = 8.389 KNM

    Mu = 1.5 X BM = 12.583 KNM

    Area Of Steel Required (Mu) = 290.000 Sqmm/M

    Area Of Steel Provided for CrackWidth

    = 314.000 Sqmm/M

    Area Of Steel Provided for ThermalCrack = 359.000 Sqmm/M

    Steel Provided = T8 @ 140 c/c

      = 359.000 Sqmm/M

    Short Span Negative Moment At Continuous Support -

    Moment Coefficient = 0.071

    BM = 11.185 KNM

    Mu = 1.5 X BM = 16.777 KNM

    Area Of Steel Required (Mu) = 392.000 Sqmm/M

    Area Of Steel Provided for Crack

    Width

    = 437.000 Sqmm/M

    Steel Provided = T8 @ 115 c/c

      = 437.000 Sqmm/M

    Long Span Positive Moment At Midspan -

    Moment Coefficient = 0.034

    BM = 5.323 KNM

    Mu = 1.5 X BM = 7.985 KNM

    Area Of Steel Required (Mu) = 198.000 Sqmm/M

    Area Of Steel Provided for CrackWidth

    = 201.000 Sqmm/M

    Area Of Steel Provided for ThermalCrack

    = 359.000 Sqmm/M

    Steel Provided = T8 @ 140 c/c

      = 359.000 Sqmm/M

    Long Span Negative Moment At Continuous Support -

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    Moment Coefficient = 0.045

    BM = 7.098 KNM

    Mu = 1.5 X BM = 10.646 KNM

    Area Of Steel Required (Mu) = 267.000 Sqmm/M

    Area Of Steel Provided for CrackWidth

    = 272.000 Sqmm/M

    Steel Provided = T8 @ 185 c/c

      = 272.000 Sqmm/MDistribution Steel @ 0.12% -

    Area Of Steel Required = 150.000 Sqmm

    Steel Provided = T8 @ 300 c/c

    = 168.000 Sqmm/M

    Shear Check :

    Along Short Span

    Shear Coefficient(Lx), SF1 = 0.511

    V = SF1 x TL x Lx = 18.911 KN

    Vu = 1.5 X V = 28.366 KN

    Shear Stress, Tv = 0.227 N/Sqmm

    Nominal Shear Stress, Tc = 0.421 N/Sqmm

    Modification Factor 'K' = 1.300

    K x Tc = 0.548

      > 0.227 Slab Is Safe In Shear

    Along Long Span

    Shear Coefficient(Ly), SF2 = 0.400

    V = SF2 x TL x Lx = 14.805 KN

    Vu = 1.5 X V = 22.208 KN

    Shear Stress, Tv = 0.193 N/Sqmm

    Nominal Shear Stress, Tc = 0.343 N/Sqmm

    Modification Factor 'K' = 1.300

    K x Tc = 0.446

      > 0.193 Slab Is Safe In Shear

    Deflection Check:

    Basic Span To Depth Ratio = 26

    Span Correction Factor = 1.000

    Tensile Steel Factor = 1.951

    Compression Steel Factor = 1.000

    Flange Correction Factor = 1.000Max Span To Depth Ratio = 26.00 x 1.00 x 1.95 x 1.00 x 1.00

    = 50.732

    Lx/d = 33.840

      < 50.732 Slab Is Safe In Deflection

     

    Crack Width Check as per IS 456  

    Bottom Along L Bottom Along B Top Along L Top Along B

    BM (Unfactored) (KN-m) 8.3887 5.3231 11.185 7.0975Cmin (mm) 28 20 28 20

    Reinforcement T8@140 T8@140 T8@115 T8@185

    Ast Prv (Sqmm/M) 359 359 437 272

    Xact (mm) 26.8139 27.8228 29.1962 24.5978

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    Peak Hydration Temperature (phTemp) = 50 degree

    Seasonal Temperature Variation (stTemp) = 20 degree

    Coeffic't of Thermal Expansion (α) = 10 x 10^-6

    Steel ratio (ρact) = As/Ac

    Steel Ratio Permissible (ρcrit ) = 0.0064 (Reference Table A.1 BS 8007)

    fct / fb = 0.67 (Reference Table A.1 BS 8007)

    Crack Spacing (Smax) = (fct/fb) x (Bar Dia/2) x (ρact)

    Wcr = Smax x α x (phTemp+stTemp)/2

    Icr (mm^4) 39206870.2073 45179054.6877 46144663.9147 35637828.6474

    acr (mm) 71.6938 68.9638 60.3842 90.7317

    Check for Stress in Steel

      Fst (N/sqmm) 227.7278 222.781 220.7951 221.7483

      FstPerm (N/Sqmm) 228.25 228.25 228.25 228.25

    Check for Stress in Concrete

      Fc (N/sqmm) 0 0 0 0

      FcPerm (N/Sqmm) 0 0 0 0

    Crack Width Check

      Epsilon-deff, E1 0.0014 0.0008 0 0.0014

      Epsilon-m, Em 0.0007 0.0001 0 0.0004

      Wcr (mm) 0.0724 0.0085 0.0857 0.0537

      WcrPerm (mm) 0.2 0.2 0.2 0.2

     

    Check for Early / Initial Thermal Cracking   

    Bottom Along L Bottom Along B Top Along L Top Along B

    Depth (mm) 150 150 - -Surface Zone Thk (mm) 75 75 - -

    Area of Concrete (Ac)(Sqmm)

    75000 75000 - -

    Reinforcement T8@140 T8@140 - -

    Area of Steel (As)(Sqmm/M)

    359 359 - -

    Steel Check

      ρact 0.0048 0.0048 - -

      ρcrit 0.0064 0.0064 - -

    Crack Width Check

      Smaxbot (mm) 559.8275 559.8275 - -

      Wcr (mm) 0.1959 0.1959 - -

      WcrPerm (mm) 0.2 0.2 - -

     

     Where  

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    Slab No. : S2

    Level = 3.35m

    Design Code = IS Code

    Grade Of Concrete = M25 N/Sqmm

    Grade Of Steel = Fe415 N/Sqmm

    Clear Cover = 20.000 mm

    Long Span, Ly = 6.230 M

    Short Span, Lx = 5.730 MImposed Load = 1.000 KN/Sqm

    Live Load = 4.000 KN/Sqm

    Slab Thickness = 150.000 mm

    Effective Depth Along LX, Deffx = 125.000 mm

    Effective Depth Along LY, Deffy = 115.000 mm

    Self Weight = 3.750 KN/Sqm

    Total Load, TL = 8.750 KN/Sqm

    Span = 2-Way

    Panel Type = One Long Edge Discontinuous

     

    Design Moments:

    Short Span Positive Moment At Midspan -

    Moment Coefficient = 0.036

    BM = 10.224 KNM

    Mu = 1.5 X BM = 15.336 KNM

    Area Of Steel Required (Mu) = 356.804 Sqmm/M

    Area Of Steel Required (Mu + Defl.) = 451.000 Sqmm/M

    Area Of Steel Provided for Crack

    Width

    = 457.000 Sqmm/M

    Steel Provided = T8 @ 110 c/c

      = 457.000 Sqmm/M

    Short Span Negative Moment At Continuous Support -

    Moment Coefficient = 0.047

    BM = 13.632 KNM

    Mu = 1.5 X BM = 20.448 KNM

    Area Of Steel Required (Mu) = 484.000 Sqmm/M

    Area Of Steel Provided for CrackWidth

    = 524.000 Sqmm/M

    Steel Provided = T10 @ 150 c/c  = 524.000 Sqmm/M

    Long Span Positive Moment At Midspan -

    Moment Coefficient = 0.028

    BM = 7.900 KNM

    Mu = 1.5 X BM = 11.851 KNM

    Area Of Steel Required (Mu) = 298.325 Sqmm/M

    Area Of Steel Required (BM + Defl.) = 385.000 Sqmm/M

    Area Of Steel Provided for CrackWidth

    = 387.000 Sqmm/M

    Steel Provided = T8 @ 130 c/c

      = 387.000 Sqmm/M

    Long Span Negative Moment At Continuous Support -

    Moment Coefficient = 0.037

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    BM = 10.534 KNM

    Mu = 1.5 X BM = 15.801 KNM

    Area Of Steel Required (Mu) = 404.000 Sqmm/M

    Area Of Steel Provided for CrackWidth

    = 419.000 Sqmm/M

    Steel Provided = T8 @ 120 c/c

      = 419.000 Sqmm/M

    Distribution Steel @ 0.12% -

    Area Of Steel Required = 150.000 Sqmm

    Steel Provided = T8 @ 300 c/c

    = 168.000 Sqmm/M

    Shear Check :

    Along Short Span

    Shear Coefficient(Lx), SF1 = 0.395

    V = SF1 x TL x Lx = 19.800 KN

    Vu = 1.5 X V = 29.699 KN

    Shear Stress, Tv = 0.238 N/Sqmm

    Nominal Shear Stress, Tc = 0.454 N/SqmmModification Factor 'K' = 1.300

    K x Tc = 0.591

      > 0.238 Slab Is Safe In Shear

    Along Long Span

    Shear Coefficient(Ly), SF2 = 0.360

    V = SF2 x TL x Lx = 18.050 KN

    Vu = 1.5 X V = 27.074 KN

    Shear Stress, Tv = 0.235 N/Sqmm

    Nominal Shear Stress, Tc = 0.414 N/Sqmm

    Modification Factor 'K' = 1.300

    K x Tc = 0.538

      > 0.235 Slab Is Safe In Shear

    Deflection Check:

    Basic Span To Depth Ratio = 26

    Span Correction Factor = 1.000

    Tensile Steel Factor = 1.795

    Compression Steel Factor = 1.000

    Flange Correction Factor = 1.000

    Max Span To Depth Ratio = 26.00 x 1.00 x 1.80 x 1.00 x 1.00= 46.676

    Lx/d = 45.840

      < 46.676 Slab Is Safe In Deflection

     

    Crack Width Check as per IS 456  

    Bottom Along L Bottom Along B Top Along L Top Along B

    BM (Unfactored) (KN-m) 10.2241 7.9004 13.6322 10.5339

    Cmin (mm) 28 20 30 20Reinforcement T8@110 T8@130 T10@150 T8@120

    Ast Prv (Sqmm/M) 457 387 524 419

    Xact (mm) 29.7578 28.7381 31.3774 29.7548

    Icr (mm^4) 47854158.7011 48074734.7669 52447032.331 51386516.0126

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    Peak Hydration Temperature (phTemp) = 50 degree

    Seasonal Temperature Variation (stTemp) = 20 degree

    Coeffic't of Thermal Expansion (α) = 10 x 10^-6

    Steel ratio (ρact) = As/Ac

    Steel Ratio Permissible (ρcrit ) = 0.0064 (Reference Table A.1 BS 8007)

    fct / fb = 0.67 (Reference Table A.1 BS 8007)

    Crack Spacing (Smax) = (fct/fb) x (Bar Dia/2) x (ρact)

    Wcr = Smax x α x (phTemp+stTemp)/2

    acr (mm) 58.1808 64.195 75.3923 59.4643

    Check for Stress in Steel

      Fst (N/sqmm) 193.3783 175.5066 228.1126 216.6388

      FstPerm (N/Sqmm) 228.25 228.25 228.25 228.25

    Check for Stress in Concrete

      Fc (N/sqmm) 0 0 0 0

      FcPerm (N/Sqmm) 0 0 0 0

    Crack Width Check

      Epsilon-deff, E1 0.0014 0.0011 0 0.0014

      Epsilon-m, Em 0.0008 0.0004 0 0.0008

      Wcr (mm) 0.0692 0.0493 0.112 0.0814

      WcrPerm (mm) 0.2 0.2 0.2 0.2

     

    Check for Early / Initial Thermal Cracking   

    Bottom Along L Bottom Along B Top Along L Top Along B

    Depth (mm) 150 150 - -

    Surface Zone Thk (mm) 75 75 - -Area of Concrete (Ac)(Sqmm)

    75000 75000 - -

    Reinforcement T8@110 T8@130 - -

    Area of Steel (As)(Sqmm/M)

    457 387 - -

    Steel Check

      ρact 0.0061 0.0052 - -

      ρcrit 0.0064 0.0064 - -

    Crack Width Check

      Smaxbot

     (mm) 439.8645 519.8398 - -

      Wcr (mm) 0.154 0.1819 - -

      WcrPerm (mm) 0.2 0.2 - -

     

     Where  

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    Slab No. : S3

    Level = 3.35m

    Design Code = IS Code

    Grade Of Concrete = M25 N/Sqmm

    Grade Of Steel = Fe415 N/Sqmm

    Clear Cover = 20.000 mm

    Long Span, Ly = 6.230 M

    Short Span, Lx = 5.730 MImposed Load = 1.000 KN/Sqm

    Live Load = 4.000 KN/Sqm

    Slab Thickness = 150.000 mm

    Effective Depth Along LX, Deffx = 125.000 mm

    Effective Depth Along LY, Deffy = 115.000 mm

    Self Weight = 3.750 KN/Sqm

    Total Load, TL = 8.750 KN/Sqm

    Span = 2-Way

    Panel Type = Two Adjacent Edges Discontinuous

     

    Design Moments:

    Short Span Positive Moment At Midspan -

    Moment Coefficient = 0.041

    BM = 11.806 KNM

    Mu = 1.5 X BM = 17.709 KNM

    Area Of Steel Required (Mu) = 415.429 Sqmm/M

    Area Of Steel Required (Mu + Defl.) = 603.000 Sqmm/M

    Area Of Steel Provided for Crack

    Width

    = 604.000 Sqmm/M

    Steel Provided = T10 @ 130 c/c

      = 604.000 Sqmm/M

    Short Span Negative Moment At Continuous Support -

    Moment Coefficient = 0.055

    BM = 15.742 KNM

    Mu = 1.5 X BM = 23.612 KNM

    Area Of Steel Required (Mu) = 566.000 Sqmm/M

    Area Of Steel Provided for CrackWidth

    = 628.000 Sqmm/M

    Steel Provided = T10 @ 125 c/c  = 628.000 Sqmm/M

    Long Span Positive Moment At Midspan -

    Moment Coefficient = 0.034

    BM = 9.768 KNM

    Mu = 1.5 X BM = 14.652 KNM

    Area Of Steel Required (Mu) = 373.067 Sqmm/M

    Area Of Steel Required (BM + Defl.) = 546.000 Sqmm/M

    Area Of Steel Provided for CrackWidth

    = 561.000 Sqmm/M

    Steel Provided = T10 @ 140 c/c

      = 561.000 Sqmm/M

    Long Span Negative Moment At Continuous Support -

    Moment Coefficient = 0.045

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    BM = 13.024 KNM

    Mu = 1.5 X BM = 19.536 KNM

    Area Of Steel Required (Mu) = 508.000 Sqmm/M

    Area Of Steel Provided for CrackWidth

    = 524.000 Sqmm/M

    Steel Provided = T10 @ 150 c/c

      = 524.000 Sqmm/M

    Distribution Steel @ 0.12% -

    Area Of Steel Required = 150.000 Sqmm

    Steel Provided = T8 @ 300 c/c

    = 168.000 Sqmm/M

    Shear Check :

    Along Short Span

    Shear Coefficient(Lx), SF1 = 0.435

    V = SF1 x TL x Lx = 21.805 KN

    Vu = 1.5 X V = 32.708 KN

    Shear Stress, Tv = 0.262 N/Sqmm

    Nominal Shear Stress, Tc = 0.490 N/SqmmModification Factor 'K' = 1.300

    K x Tc = 0.637

      > 0.262 Slab Is Safe In Shear

    Along Long Span

    Shear Coefficient(Ly), SF2 = 0.400

    V = SF2 x TL x Lx = 20.055 KN

    Vu = 1.5 X V = 30.083 KN

    Shear Stress, Tv = 0.262 N/Sqmm

    Nominal Shear Stress, Tc = 0.454 N/Sqmm

    Modification Factor 'K' = 1.300

    K x Tc = 0.591

      > 0.262 Slab Is Safe In Shear

    Deflection Check:

    Basic Span To Depth Ratio = 26

    Span Correction Factor = 1.000

    Tensile Steel Factor = 1.784

    Compression Steel Factor = 1.000

    Flange Correction Factor = 1.000

    Max Span To Depth Ratio = 26.00 x 1.00 x 1.78 x 1.00 x 1.00= 46.380

    Lx/d = 45.840

      < 46.380 Slab Is Safe In Deflection

     

    Crack Width Check as per IS 456  

    Bottom Along L Bottom Along B Top Along L Top Along B

    BM (Unfactored) (KN-m) 11.8062 9.7678 15.7416 13.0237

    Cmin (mm) 30 20 30 20Reinforcement T10@130 T10@140 T10@125 T10@150

    Ast Prv (Sqmm/M) 604 561 628 524

    Xact (mm) 32.9867 33.5633 33.5287 32.5963

    Icr (mm^4) 56584870.2519 64104571.8323 58357862.4925 60634971.5094

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    Peak Hydration Temperature (phTemp) = 50 degree

    Seasonal Temperature Variation (stTemp) = 20 degree

    Coeffic't of Thermal Expansion (α) = 10 x 10^-6

    Steel ratio (ρact) = As/Ac

    Steel Ratio Permissible (ρcrit ) = 0.0064 (Reference Table A.1 BS 8007)

    fct / fb = 0.67 (Reference Table A.1 BS 8007)

    Crack Spacing (Smax) = (fct/fb) x (Bar Dia/2) x (ρact)

    Wcr = Smax x α x (phTemp+stTemp)/2

    acr (mm) 67.082 68.0074 64.8556 72.8011

    Check for Stress in Steel

      Fst (N/sqmm) 172.2382 152.9838 221.191 217.931

      FstPerm (N/Sqmm) 228.25 228.25 228.25 228.25

    Check for Stress in Concrete

      Fc (N/sqmm) 0 0 0 0

      FcPerm (N/Sqmm) 0 0 0 0

    Crack Width Check

      Epsilon-deff, E1 0.0013 0.001 0 0.0014

      Epsilon-m, Em 0.0009 0.0005 0 0.0009

      Wcr (mm) 0.0752 0.0597 0.1093 0.1046

      WcrPerm (mm) 0.2 0.2 0.2 0.2

     

    Check for Early / Initial Thermal Cracking   

    Bottom Along L Bottom Along B Top Along L Top Along B

    Depth (mm) 150 150 - -

    Surface Zone Thk (mm) 75 75 - -Area of Concrete (Ac)

    (Sqmm)75000 75000 - -

    Reinforcement T10@130 T10@140 - -

    Area of Steel (As)

    (Sqmm/M)604 561 - -

    Steel Check

      ρact 0.0081 0.0075 - -

      ρcrit 0.0064 0.0064 - -

    Crack Width Check

      Smaxbot

     (mm) 415.8719 447.862 - -

      Wcr (mm) 0.1456 0.1568 - -

      WcrPerm (mm) 0.2 0.2 - -

     

     Where  

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    Slab No. : S4

    Level = 3.35m

    Design Code = IS Code

    Grade Of Concrete = M25 N/Sqmm

    Grade Of Steel = Fe415 N/Sqmm

    Clear Cover = 20.000 mm

    Long Span, Ly = 11.230 M

    Short Span, Lx = 3.230 MImposed Load = 1.000 KN/Sqm

    Live Load = 4.000 KN/Sqm

    Dead Load,DL = 4.750 KN/Sqm

    Slab Thickness = 150.000 mm

    Effective Depth Along LX, Deffx = 125.000 mm

    Self Weight = 3.750 KN/Sqm

    Total Load, TL = 8.750 KN/Sqm

    Span = 1-Way

    End Conditions = Span Next to End Span

     

    Design Moments:

    Short Span Positive Moment at Mid Span -

    Moment Coefficient(DL), M1 = 0.063

    Moment Coefficient(LL), M2 = 0.083

    BM = M1 x DL x Lx x Lx + M2 x LL

    x Lx x Lx= 6.575 KNM

    Mu = 1.5 X BM = 9.862 KNM

    Area Of Steel Required (Mu) = 225.000 Sqmm/M

    Area Of Steel Provided for CrackWidth = 245.000 Sqmm/M

    Area Of Steel Provided for ThermalCrack

    = 359.000 Sqmm/M

    Steel Provided =T8 @ 140c/c

    = 359.000 Sqmm/M

    Short Span Negative Moment at Continuous Support -

    Moment Coefficient(DL), M3 = 0.100

    Moment Coefficient(LL), M4 = 0.111

    BM = M3 x DL x Lx x Lx + M4 x LLx Lx x Lx = 9.592 KNM

    Mu = 1.5 X BM = 14.389 KNM

    Area Of Steel Required (Mu) = 334.000 Sqmm/M

    Area Of Steel Provided for CrackWidth

    = 372.000 Sqmm/M

    Steel Provided = T8 @ 135 c/c

    = 372.000 Sqmm/M

    All Other Sections provide Minimum Steel @ 0.12% -

    Area Of Steel Required = 150.000 Sqmm/M

    Steel Provided = T8 @ 300 c/c= 168.000 Sqmm/M

    Shear Check :

    Shear Coefficient(DL), SF1 = 0.600

    Shear Coefficient(LL), SF2 = 0.600

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    V = SF1 x DL x Lx + SF2 x LL x Lx = 16.958 KN

    Vu = 1.5 X V = 25.436 KN

    Shear Stress, Tv = 0.203 N/Sqmm

    Nominal Shear Stress, Tc = 0.393 N/Sqmm

    Modification Factor 'K' = 1.300

    K x Tc = 0.511

      > 0.203 Slab Is Safe In Shear

    Deflection Check:Basic Span To Depth Ratio = 26.000

    Span Correction Factor = 1.000

    Tensile Steel Factor = 2.683

    Compression Steel Factor = 1.000

    Flange Correction Factor = 1.000

    Max Span To Depth Ratio = 26.00 x 1.00 x 2.68 x 1.00 x 1.00

    = 69.752

    Lx/d = 25.840

      < 69.752 Slab Is Safe In Deflection

     

    Crack Width Check as per IS 456  

    Bottom Along L Bottom Along B Top Along L Top Along B

    BM (Unfactored) (KN-m) 6.5749 - 9.5925 -

    Cmin (mm) 28 - 28 -

    Reinforcement T8@140 - T8@135 -

    Ast Prv (Sqmm/M) 359 - 372 -

    Xact (mm) 26.8139 - 28.2689 -

    Icr (mm^4) 39206870.2073 - 46580044.7543 -acr (mm) 71.6938 - 66.5751 -

    Check for Stress in Steel

      Fst (N/sqmm) 226.919 - 220.9945 -

      FstPerm (N/Sqmm) 228.25 - 228.25 -

    Check for Stress in Concrete

      Fc (N/sqmm) 0 - 0 -

      FcPerm (N/Sqmm) 0 - 0 -

    Crack Width Check

      Epsilon-deff, E1 0.0011 - 0.0014 -

      Epsilon-m, Em 0.0004 - 0.0007 -  Wcr (mm) 0.045 - 0.0789 -

      WcrPerm (mm) 0.2 - 0.2 -

     

    Check for Early / Initial Thermal Cracking   

    Bottom Along L Bottom Along B Top Along L Top Along B

    Depth (mm) 150 150 - -

    Surface Zone Thk (mm) 75 75 - -

    Area of Concrete (Ac)

    (Sqmm) 75000 75000 - -

    Reinforcement T8@140 T8@140 - -

    Area of Steel (As)(Sqmm/M)

    359 359 - -

    Steel Check

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    Peak Hydration Temperature (phTemp) = 50 degree

    Seasonal Temperature Variation (stTemp) = 20 degree

    Coeffic't of Thermal Expansion (α) = 10 x 10^-6

    Steel ratio (ρact) = As/Ac

    Steel Ratio Permissible (ρcrit ) = 0.0064 (Reference Table A.1 BS 8007)

    fct / fb = 0.67 (Reference Table A.1 BS 8007)

    Crack Spacing (Smax) = (fct/fb) x (Bar Dia/2) x (ρact)

    Wcr = Smax x α x (phTemp+stTemp)/2

      ρact 0.0048 0.0048 - -

      ρcrit 0.0064 0.0064 - -

    Crack Width Check

      Smaxbot (mm) 559.8275 559.8275 - -

      Wcr (mm) 0.1959 0.1959 - -

      WcrPerm (mm) 0.2 0.2 - -

     

     Where  

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    Slab No. : S5

    Level = 3.35m

    Design Code = IS Code

    Grade Of Concrete = M25 N/Sqmm

    Grade Of Steel = Fe415 N/Sqmm

    Clear Cover = 20.000 mm

    Long Span, Ly = 5.500 M

    Short Span, Lx = 4.230 MImposed Load = 1.000 KN/Sqm

    Live Load = 4.000 KN/Sqm

    Slab Thickness = 150.000 mm

    Effective Depth Along LX, Deffx = 125.000 mm

    Effective Depth Along LY, Deffy = 115.000 mm

    Self Weight = 3.750 KN/Sqm

    Total Load, TL = 8.750 KN/Sqm

    Span = 2-Way

    Panel Type = One Long Edge Discontinuous

     

    Design Moments:

    Short Span Positive Moment At Midspan -

    Moment Coefficient = 0.047

    BM = 7.335 KNM

    Mu = 1.5 X BM = 11.003 KNM

    Area Of Steel Required (Mu) = 252.000 Sqmm/M

    Area Of Steel Provided for CrackWidth

    = 279.000 Sqmm/M

    Area Of Steel Provided for Thermal

    Crack = 359.000 Sqmm/M

    Steel Provided = T8 @ 140 c/c

      = 359.000 Sqmm/M

    Short Span Negative Moment At Continuous Support -

    Moment Coefficient = 0.062

    BM = 9.780 KNM

    Mu = 1.5 X BM = 14.671 KNM

    Area Of Steel Required (Mu) = 341.000 Sqmm/M

    Area Of Steel Provided for Crack

    Width

    = 372.000 Sqmm/M

    Steel Provided = T8 @ 135 c/c

      = 372.000 Sqmm/M

    Long Span Positive Moment At Midspan -

    Moment Coefficient = 0.028

    BM = 4.305 KNM

    Mu = 1.5 X BM = 6.458 KNM

    Area Of Steel Required (Mu) = 180.000 Sqmm/M

    Area Of Steel Provided for CrackWidth

    = 183.000 Sqmm/M

    Area Of Steel Provided for ThermalCrack

    = 359.000 Sqmm/M

    Steel Provided = T8 @ 140 c/c

      = 359.000 Sqmm/M

    Long Span Negative Moment At Continuous Support -

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    Moment Coefficient = 0.037

    BM = 5.741 KNM

    Mu = 1.5 X BM = 8.611 KNM

    Area Of Steel Required (Mu) = 214.000 Sqmm/M

    Area Of Steel Provided for CrackWidth

    = 219.000 Sqmm/M

    Steel Provided = T8 @ 230 c/c

      = 219.000 Sqmm/M

    Distribution Steel @ 0.12% -

    Area Of Steel Required = 150.000 Sqmm

    Steel Provided = T8 @ 300 c/c

    = 168.000 Sqmm/M

    Shear Check :

    Along Short Span

    Shear Coefficient(Lx), SF1 = 0.470

    V = SF1 x TL x Lx = 17.398 KN

    Vu = 1.5 X V = 26.096 KN

    Shear Stress, Tv = 0.209 N/SqmmNominal Shear Stress, Tc = 0.393 N/Sqmm

    Modification Factor 'K' = 1.300

    K x Tc = 0.511

      > 0.209 Slab Is Safe In Shear

    Along Long Span

    Shear Coefficient(Ly), SF2 = 0.360

    V = SF2 x TL x Lx = 13.325 KN

    Vu = 1.5 X V = 19.987 KN

    Shear Stress, Tv = 0.174 N/Sqmm

    Nominal Shear Stress, Tc = 0.312 N/Sqmm

    Modification Factor 'K' = 1.300

    K x Tc = 0.405

      > 0.174 Slab Is Safe In Shear

    Deflection Check:

    Basic Span To Depth Ratio = 26

    Span Correction Factor = 1.000

    Tensile Steel Factor = 2.320

    Compression Steel Factor = 1.000

    Flange Correction Factor = 1.000Max Span To Depth Ratio = 26.00 x 1.00 x 2.32 x 1.00 x 1.00

    = 60.321

    Lx/d = 33.840

      < 60.321 Slab Is Safe In Deflection

     

    Crack Width Check as per IS 456  

    Bottom Along L Bottom Along B Top Along L Top Along B

    BM (Unfactored) (KN-m) 7.3354 4.3055 9.7805 5.7406Cmin (mm) 28 20 28 20

    Reinforcement T8@140 T8@140 T8@135 T8@230

    Ast Prv (Sqmm/M) 359 359 372 219

    Xact (mm) 26.8139 27.8228 27.2418 22.3083

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    Peak Hydration Temperature (phTemp) = 50 degree

    Seasonal Temperature Variation (stTemp) = 20 degree

    Coeffic't of Thermal Expansion (α) = 10 x 10^-6

    Steel ratio (ρact) = As/Ac

    Steel Ratio Permissible (ρcrit ) = 0.0064 (Reference Table A.1 BS 8007)

    fct / fb = 0.67 (Reference Table A.1 BS 8007)

    Crack Spacing (Smax) = (fct/fb) x (Bar Dia/2) x (ρact)

    Wcr = Smax x α x (phTemp+stTemp)/2

    Icr (mm^4) 39206870.2073 45179054.6877 40415257.5738 29502323.9464

    acr (mm) 71.6938 68.9638 69.3992 112.7874

    Check for Stress in Steel

      Fst (N/sqmm) 223.1759 197.7046 225.3257 221.5469

      FstPerm (N/Sqmm) 228.25 228.25 228.25 228.25

    Check for Stress in Concrete

      Fc (N/sqmm) 0 0 0 0

      FcPerm (N/Sqmm) 0 0 0 0

    Crack Width Check

      Epsilon-deff, E1 0.0013 0.0006 0 0.0014

      Epsilon-m, Em 0.0005 -0.0001 0 0.0002

      Wcr (mm) 0.0579 0 0.082 0.0227

      WcrPerm (mm) 0.2 0.2 0.2 0.2

     

    Check for Early / Initial Thermal Cracking   

    Bottom Along L Bottom Along B Top Along L Top Along B

    Depth (mm) 150 150 - -Surface Zone Thk (mm) 75 75 - -

    Area of Concrete (Ac)(Sqmm)

    75000 75000 - -

    Reinforcement T8@140 T8@140 - -

    Area of Steel (As)(Sqmm/M)

    359 359 - -

    Steel Check

      ρact 0.0048 0.0048 - -

      ρcrit 0.0064 0.0064 - -

    Crack Width Check

      Smaxbot (mm) 559.8275 559.8275 - -

      Wcr (mm) 0.1959 0.1959 - -

      WcrPerm (mm) 0.2 0.2 - -

     

     Where  

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    Slab No. : S6

    Level = 3.35m

    Design Code = IS Code

    Grade Of Concrete = M25 N/Sqmm

    Grade Of Steel = Fe415 N/Sqmm

    Clear Cover = 20.000 mm

    Long Span, Ly = 6.230 M

    Short Span, Lx = 5.500 MImposed Load = 1.000 KN/Sqm

    Live Load = 4.000 KN/Sqm

    Slab Thickness = 150.000 mm

    Effective Depth Along LX, Deffx = 125.000 mm

    Effective Depth Along LY, Deffy = 115.000 mm

    Self Weight = 3.750 KN/Sqm

    Total Load, TL = 8.750 KN/Sqm

    Span = 2-Way

    Panel Type = One Long Edge Discontinuous

     

    Design Moments:

    Short Span Positive Moment At Midspan -

    Moment Coefficient = 0.038

    BM = 10.150 KNM

    Mu = 1.5 X BM = 15.226 KNM

    Area Of Steel Required (Mu) = 354.098 Sqmm/M

    Area Of Steel Required (Mu + Defl.) = 417.000 Sqmm/M

    Area Of Steel Provided for CrackWidth

    = 419.000 Sqmm/M

    Steel Provided = T8 @ 120 c/c

      = 419.000 Sqmm/M

    Short Span Negative Moment At Continuous Support -

    Moment Coefficient = 0.051

    BM = 13.534 KNM

    Mu = 1.5 X BM = 20.301 KNM

    Area Of Steel Required (Mu) = 481.000 Sqmm/M

    Area Of Steel Provided for CrackWidth

    = 524.000 Sqmm/M

    Steel Provided = T10 @ 150 c/c  = 524.000 Sqmm/M

    Long Span Positive Moment At Midspan -

    Moment Coefficient = 0.028

    BM = 7.279 KNM

    Mu = 1.5 X BM = 10.918 KNM

    Area Of Steel Required (Mu) = 273.840 Sqmm/M

    Area Of Steel Required (BM + Defl.) = 331.000 Sqmm/M

    Area Of Steel Provided for CrackWidth

    = 335.000 Sqmm/M

    Area Of Steel Provided for ThermalCrack

    = 359.000 Sqmm/M

    Steel Provided = T8 @ 140 c/c

      = 359.000 Sqmm/M

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    Long Span Negative Moment At Continuous Support -

    Moment Coefficient = 0.037

    BM = 9.705 KNM

    Mu = 1.5 X BM = 14.558 KNM

    Area Of Steel Required (Mu) = 371.000 Sqmm/M

    Area Of Steel Provided for CrackWidth

    = 372.000 Sqmm/M

    Steel Provided = T8 @ 135 c/c

      = 372.000 Sqmm/M

    Distribution Steel @ 0.12% -

    Area Of Steel Required = 150.000 Sqmm

    Steel Provided = T8 @ 300 c/c

    = 168.000 Sqmm/M

    Shear Check :

    Along Short Span

    Shear Coefficient(Lx), SF1 = 0.413

    V = SF1 x TL x Lx = 19.880 KN

    Vu = 1.5 X V = 29.820 KNShear Stress, Tv = 0.239 N/Sqmm

    Nominal Shear Stress, Tc = 0.454 N/Sqmm

    Modification Factor 'K' = 1.300

    K x Tc = 0.591

      > 0.239 Slab Is Safe In Shear

    Along Long Span

    Shear Coefficient(Ly), SF2 = 0.360

    V = SF2 x TL x Lx = 17.325 KN

    Vu = 1.5 X V = 25.988 KN

    Shear Stress, Tv = 0.226 N/Sqmm

    Nominal Shear Stress, Tc = 0.393 N/Sqmm

    Modification Factor 'K' = 1.300

    K x Tc = 0.511

      > 0.226 Slab Is Safe In Shear

    Deflection Check:

    Basic Span To Depth Ratio = 26

    Span Correction Factor = 1.000

    Tensile Steel Factor = 1.714

    Compression Steel Factor = 1.000Flange Correction Factor = 1.000

    Max Span To Depth Ratio = 26.00 x 1.00 x 1.71 x 1.00 x 1.00

    = 44.564

    Lx/d = 44.000

      < 44.564 Slab Is Safe In Deflection

     

    Crack Width Check as per IS 456  

    Bottom Along L Bottom Along B Top Along L Top Along BBM (Unfactored) (KN-m) 10.1504 7.2789 13.5339 9.7052

    Cmin (mm) 28 20 30 20

    Reinforcement T8@120 T8@140 T10@150 T8@135

    Ast Prv (Sqmm/M) 419 359 524 372

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    Peak Hydration Temperature (phTemp) = 50 degree

    Seasonal Temperature Variation (stTemp) = 20 degree

    Coeffic't of Thermal Expansion (α) = 10 x 10^-6

    Steel ratio (ρact) = As/Ac

    Steel Ratio Permissible (ρcrit ) = 0.0064 (Reference Table A.1 BS 8007)

    fct / fb = 0.67 (Reference Table A.1 BS 8007)

    Crack Spacing (Smax) = (fct/fb) x (Bar Dia/2) x (ρact)

    Wcr = Smax x α x (phTemp+stTemp)/2

    Xact (mm) 28.6665 27.8228 31.3774 28.2689

    Icr (mm^4) 44558245.5829 45179054.6877 52447032.331 46580044.7543

    acr (mm) 62.6099 68.9638 75.3923 66.5751

    Check for Stress in Steel

      Fst (N/sqmm) 208.7528 185.649 226.4684 223.5917

      FstPerm (N/Sqmm) 228.25 228.25 228.25 228.25

    Check for Stress in Concrete

      Fc (N/sqmm) 0 0 0 0

      FcPerm (N/Sqmm) 0 0 0 0

    Crack Width Check

      Epsilon-deff, E1 0.0015 0.0011 0 0.0014

      Epsilon-m, Em 0.0009 0.0004 0 0.0007

      Wcr (mm) 0.0761 0.0464 0.1108 0.0808

      WcrPerm (mm) 0.2 0.2 0.2 0.2

     

    Check for Early / Initial Thermal Cracking   

    Bottom Along L Bottom Along B Top Along L Top Along BDepth (mm) 150 150 - -

    Surface Zone Thk (mm) 75 75 - -

    Area of Concrete (Ac)(Sqmm)

    75000 75000 - -

    Reinforcement T8@120 T8@140 - -

    Area of Steel (As)(Sqmm/M)

    419 359 - -

    Steel Check

      ρact 0.0056 0.0048 - -

      ρcrit 0.0064 0.0064 - -

    Crack Width Check

      Smaxbot (mm) 479.8522 559.8275 - -

      Wcr (mm) 0.1679 0.1959 - -

      WcrPerm (mm) 0.2 0.2 - -

     

     Where  

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    Slab No. : S7

    Level = 3.35m

    Design Code = IS Code

    Grade Of Concrete = M25 N/Sqmm

    Grade Of Steel = Fe415 N/Sqmm

    Clear Cover = 20.000 mm

    Long Span, Ly = 6.230 M

    Short Span, Lx = 5.500 MImposed Load = 1.000 KN/Sqm

    Live Load = 4.000 KN/Sqm

    Slab Thickness = 150.000 mm

    Effective Depth Along LX, Deffx = 125.000 mm

    Effective Depth Along LY, Deffy = 115.000 mm

    Self Weight = 3.750 KN/Sqm

    Total Load, TL = 8.750 KN/Sqm

    Span = 2-Way

    Panel Type = Two Adjacent Edges Discontinuous

     

    Design Moments:

    Short Span Positive Moment At Midspan -

    Moment Coefficient = 0.044

    BM = 11.550 KNM

    Mu = 1.5 X BM = 17.324 KNM

    Area Of Steel Required (Mu) = 405.848 Sqmm/M

    Area Of Steel Required (Mu + Defl.) = 531.000 Sqmm/M

    Area Of Steel Provided for CrackWidth

    = 542.000 Sqmm/M

    Steel Provided = T10 @ 145 c/c

      = 542.000 Sqmm/M

    Short Span Negative Moment At Continuous Support -

    Moment Coefficient = 0.058

    BM = 15.399 KNM

    Mu = 1.5 X BM = 23.099 KNM

    Area Of Steel Required (Mu) = 553.000 Sqmm/M

    Area Of Steel Provided for CrackWidth

    = 604.000 Sqmm/M

    Steel Provided = T10 @ 130 c/c  = 604.000 Sqmm/M

    Long Span Positive Moment At Midspan -

    Moment Coefficient = 0.034

    BM = 8.999 KNM

    Mu = 1.5 X BM = 13.499 KNM

    Area Of Steel Required (Mu) = 342.093 Sqmm/M

    Area Of Steel Required (BM + Defl.) = 457.000 Sqmm/M

    Area Of Steel Provided for CrackWidth

    = 479.000 Sqmm/M

    Steel Provided = T8 @ 105 c/c

      = 479.000 Sqmm/M

    Long Span Negative Moment At Continuous Support -

    Moment Coefficient = 0.045

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    BM = 11.999 KNM

    Mu = 1.5 X BM = 17.999 KNM

    Area Of Steel Required (Mu) = 465.000 Sqmm/M

    Area Of Steel Provided for CrackWidth

    = 479.000 Sqmm/M

    Steel Provided = T8 @ 105 c/c

      = 479.000 Sqmm/M

    Distribution Steel @ 0.12% -

    Area Of Steel Required = 150.000 Sqmm

    Steel Provided = T8 @ 300 c/c

    = 168.000 Sqmm/M

    Shear Check :

    Along Short Span

    Shear Coefficient(Lx), SF1 = 0.450

    V = SF1 x TL x Lx = 21.648 KN

    Vu = 1.5 X V = 32.471 KN

    Shear Stress, Tv = 0.260 N/Sqmm

    Nominal Shear Stress, Tc = 0.482 N/SqmmModification Factor 'K' = 1.300

    K x Tc = 0.627

      > 0.260 Slab Is Safe In Shear

    Along Long Span

    Shear Coefficient(Ly), SF2 = 0.400

    V = SF2 x TL x Lx = 19.250 KN

    Vu = 1.5 X V = 28.875 KN

    Shear Stress, Tv = 0.251 N/Sqmm

    Nominal Shear Stress, Tc = 0.438 N/Sqmm

    Modification Factor 'K' = 1.300

    K x Tc = 0.569

      > 0.251 Slab Is Safe In Shear

    Deflection Check:

    Basic Span To Depth Ratio = 26

    Span Correction Factor = 1.000

    Tensile Steel Factor = 1.728

    Compression Steel Factor = 1.000

    Flange Correction Factor = 1.000

    Max Span To Depth Ratio = 26.00 x 1.00 x 1.73 x 1.00 x 1.00= 44.925

    Lx/d = 44.000

      < 44.925 Slab Is Safe In Deflection

     

    Crack Width Check as per IS 456  

    Bottom Along L Bottom Along B Top Along L Top Along B

    BM (Unfactored) (KN-m) 11.5495 8.9994 15.3994 11.9992

    Cmin (mm) 30 20 30 20

    Reinforcement T10@145 T8@105 T10@130 T8@105

    Ast Prv (Sqmm/M) 542 479 604 479

    Xact (mm) 31.8295 31.5168 33.3202 31.5168

    Icr (mm^4) 53892776.4024 57360661.6992 58783223.6935 57360661.6992

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    Peak Hydration Temperature (phTemp) = 50 degree

    Seasonal Temperature Variation (stTemp) = 20 degree

    Coeffic't of Thermal Expansion (α) = 10 x 10^-6

    Steel ratio (ρact) = As/Ac

    Steel Ratio Permissible (ρcrit ) = 0.0064 (Reference Table A.1 BS 8007)

    fct / fb = 0.67 (Reference Table A.1 BS 8007)

    Crack Spacing (Smax) = (fct/fb) x (Bar Dia/2) x (ρact)

    Wcr = Smax x α x (phTemp+stTemp)/2

    acr (mm) 73.077 52.4619 66.2118 52.4619

    Check for Stress in Steel

      Fst (N/sqmm) 187.0789 162.7687 224.6585 217.0249

      FstPerm (N/Sqmm) 228.25 228.25 228.25 228.25

    Check for Stress in Concrete

      Fc (N/sqmm) 0 0 0 0

      FcPerm (N/Sqmm) 0 0 0 0

    Crack Width Check

      Epsilon-deff, E1 0.0014 0.001 0 0.0014

      Epsilon-m, Em 0.0009 0.0005 0 0.0008

      Wcr (mm) 0.083 0.0512 0.1114 0.0858

      WcrPerm (mm) 0.2 0.2 0.2 0.2

     

    Check for Early / Initial Thermal Cracking   

    Bottom Along L Bottom Along B Top Along L Top Along B

    Depth (mm) 150 150 - -

    Surface Zone Thk (mm) 75 75 - -Area of Concrete (Ac)(Sqmm)

    75000 75000 - -

    Reinforcement T10@145 T8@105 - -

    Area of Steel (As)(Sqmm/M)

    542 479 - -

    Steel Check

      ρact 0.0072 0.0064 - -

      ρcrit 0.0064 0.0064 - -

    Crack Width Check

      Smaxbot (mm) 463.8571 419.8706 - -

      Wcr (mm) 0.1623 0.147 - -

      WcrPerm (mm) 0.2 0.2 - -

     

     Where