Project

Spreadsheets to BS 8110etc

Client Advisory Group Made by Date Page Location Grid line 1 RC 21-Apr-2023 33

Crack Width Calculations to BS8110: 1997/ BS8007:1987 Checked Revision Job No

v 2.1on CD © 1999-2003 BCA for RCC chg - R68

CRACK WIDTH CALCULATIONS - FLEXURE -

INPUTfcu= 35

46020931000 mm250 mm200 mm40 mm

150 mm20 mm

80.14 mm "acr " is distance from the point considered to the surface of the nearest longitudinal bar

69.0 KNm

CALCULATIONS13.5

200.014.810.010

85 mm

1721929.50

0.001375

Usedn/a

0.0001890.001186

CALCULATED CRACK WIDTH, 'w' = 0.19 mm

REINFORCED CONCRETE COUNCIL

Originated from RCC14.xls

N/mm2

fy= N/mm2

Area of reinforcement " As " = mm2

b =h =d =

Minimum cover to tension reinforcement " CO " =Maxmum bar spacing " S " =

Bar dia " DIA " = " acr " =(((S/2)^2+(CO+DIA/2)^2)^(1/2)-DIA/2) as default or enter other value =

Applied service moment " Ms "=

moduli of elasticity of concrete " Ec" = (1/2)*(20+0.2*fcu) = KN/mm2

moduli of elasticity of steel " Es " = KN/mm2

Modular ratio " a " = (Es/Ec) = " r " = As/bd =

depth to neutral axis, "x" = (-a.r +((a.r)2 + 2.a.r)0.5.d =

" Z " = d-(x/3) =Reinforcement stress " fs " = Ms/(As*Z) = N/mm2

Concrete stress " fc " = (fs*As)/(0.5*b*x) = N/mm2

Strain at soffit of concrete beam/slab " e1 " = (fs/Es)*(h-x)/(d-x) =Strain due to stiffening effect of concrete between cracks " e2 " =

e2 = b.(h-x)2/(3.Es.As.(d-x)) for crack widths of 0.2 mme2 = 1.5.b.(h-x)2/(3.Es.As.(d-x)) for crack widths of 0.1 mm

e2 = Average strain for calculation of crack width " em "= e1-e2 =

Calculated crack width, " w " = 3.acr.em/(1+2.(acr-c)/(h-x))

Disclaimer

Status of spreadsheetPublic release version.

Date Version21-Jan-03 RCC14 v2.1

11-Oct-02 RCC14 v2.0

4-Aug-99 RCC14 v1.1

All advice or information from the British Cement Association and/or Reinforced Concrete Council is intended for those who will evaluate the significance and limitations of its contents and take responsibility for its use and application. No liability (including that for negligence) for any loss resulting from such advice or information is accepted by the BCA, RCC or their subcontractors, suppliers or advisors. Users should note that all BCA software and publications are subject to revision from time to time and should therefore ensure that they are in possession of the latest version.

This spreadsheet should be used in compliance with the accompanying publication 'Spreadsheets for concrete design to BS 8110 and EC2' available from British Cement Association, Telford Avenue, Crowthorne, Berkshire RG45 6YS.

Revision history RCC14 Crack Width.xls

ActionDETR logo replaced by DTI. 156

Version 2 enhancements 172

Renamed 81

All advice or information from the British Cement Association and/or Reinforced Concrete Council is intended for those who will evaluate the significance and limitations of its contents and take responsibility for its use and application. No liability (including that for negligence) for any loss resulting from such advice or information is accepted by the BCA, RCC or their subcontractors, suppliers or advisors. Users should note that all BCA software and publications are subject to revision from time to time and should therefore ensure that they are in possession of the latest

This spreadsheet should be used in compliance with the accompanying publication 'Spreadsheets for concrete design to BS 8110 and EC2' available from British Cement Association, Telford Avenue, Crowthorne, Berkshire RG45 6YS.

This spreadsheet is shareware. It may be distributed freely, but may not be used for commercial purposes until the user has registered with the RCC.

Revision history RCC14 Crack Width.xls

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