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Crack Width Calculation
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Crack Width Calculation
Crack width as per ISFull description...
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prabhu
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Type
a) Ma Mate teri rial al Proe Proert rtie iess f cu
:
35
MPa
f y
:
460
MPa
25
: Column (28 days compressive cube strength of concrete) (Characteristic steel strength) 3
kN/m
wc
:
Ec
:
K0+0.2f cu,28
:
2 7 0 0 0 MP a
0.5 Ec
:
1 3 5 0 0 MP a
(Considered value for crack width calculation)
Es
:
2.E+05 MPa
(Modulus of elasticity of steel)
n
:
1 4 .8
(unit wt. of concrete) (Modulus of elasticity of concrete)
(Modular ratio)
b) Sect Sectio ion n Proer Proerti ties es Width
b
:
900
mm
height
h
:
275
mm
effective depth
d
:
213
mm
Clear cover to main bar
(not to links)
C
:
58
mm
Area of steel
As
:
672
mm
bar dia
ф
:
10
mm
bar spacing
S
:
90
mm
2
Distance from the point considered to the surface of nearest longitudinal bar acr
: :
√(45^ (45^2 2 + 63^ 63^2) - 5 72.42 mm
c) Load Loadin ing g Deta Detail ilss Maximum un factored BM at the cross section Ms
:
31.5 kNm
(BS 8110-2 Sec.7.2)
d) Crack Width Allowable crack width
:
0.2
mm
percentage of steel available ρ
:
672.3/(900 x 213)
n
:
0.0035
:
d . [-n ρ + (n ρ) + 2 n ρ) ]
:
14.8
depth of neutral axis x
:
2
0.5
58.48 mm
Stress in reinforcement f s
:
Ms/[As (d - x/3)]
:
242.1 MPa
:
f s As/[0.5 b x)]
:
6.186 MPa
Stress in concrete f c
Strain at soffit of concrete section ε1
:
f s Es (h-x)/(d-x)
:
0.0017
average strain at the level where the cracking is being considered
= :
(
)(
3 ( 0.0010
) )
(BS 8110-2 equation-13) where, a'
:
275
mm
Design surface crack width
= wc
3 1 + 2 ( ) :
0.195 mm
< 0.2 mm, Hence o.k.
(BS 8110-2 equation-12)
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