SHEAR CAPACITY OF CENTRUM PILES DESIGN IN ACCORDANCE WITH EC 2 · PDF fileshear capacity of...
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CENTRUM PILE LTD CENTRUM PRECAST CONCRETE PILE SIZE 200 SQUARE CALCULATIONS Revision 0 Date Dec 2008 By S A Wilde App P Withers SHEAR CAPACITY OF CENTRUM PILES DESIGN IN ACCORDANCE WITH EC 2 Design Parameters Pile Pile depth h 200 mm ⋅ := Pile width b w 200 mm ⋅ := cover c b 30 mm ⋅ := Tension (Bottom) Reinforcement Number of bars (minimum) n b 2 := Bar diameters ϕ b 12 mm ⋅ := Shear Links Number of legs n v 2 := Link diameter ϕ v 5 mm ⋅ := Spacing of links s v 120 mm ⋅ := Material Parameters concrete characteristic cylinder strength f ck 50 N mm 2 ⋅ := steel reinforcement characteristic strength f yk 500 N mm 2 ⋅ := f ywk 500 N mm 2 ⋅ := shear steel reinforcement characteristic strength Rebar Modulus E 200000 N mm 2 ⋅ := Table 2.1N partial factors for materials at the ultimate limit state EN 13369:2004 C.2 modified material factors γ s 1.10 := steel γ c 1.40 := concrete page 1 of 3
Transcript of SHEAR CAPACITY OF CENTRUM PILES DESIGN IN ACCORDANCE WITH EC 2 · PDF fileshear capacity of...
CENTRUM PILE LTDCENTRUM PRECAST CONCRETE PILE
SIZE 200 SQUARE CALCULATIONS
Revision 0Date Dec 2008
By S A WildeApp P Withers
SHEAR CAPACITY OF CENTRUM PILES
DESIGN IN ACCORDANCE WITH EC 2
Design Parameters
Pile Pile depth h 200 mm⋅:=
Pile width bw 200 mm⋅:=
cover cb 30 mm⋅:=
Tension (Bottom) Reinforcement
Number of bars
(minimum) nb 2:= Bar diameters ϕb 12 mm⋅:=
Shear Links
Number of legs nv 2:= Link diameter ϕv 5 mm⋅:=
Spacing of links sv 120 mm⋅:=
Material Parameters
concrete characteristic cylinder strength fck 50N
mm2
⋅:=
steel reinforcement characteristic strength fyk 500N
mm2
⋅:=
fywk 500N
mm2
⋅:=shear steel reinforcement characteristic strength
Rebar Modulus E 200000N
mm2
⋅:=
Table 2.1N partial factors for materials at the ultimate limit state
EN 13369:2004 C.2 modified material factors γs 1.10:=steel
γc 1.40:=concrete
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CENTRUM PILE LTDCENTRUM PRECAST CONCRETE PILE
SIZE 200 SQUARE CALCULATIONS
Revision 0Date Dec 2008
By S A WildeApp P Withers
Effective depthdb h cb−
ϕb
2−:= db 164 mm⋅=
Main Rebar AreaAsb nb π⋅
ϕb2
4⋅:=
Asb 226.2 mm2
⋅=
Shear Rebar AreaAsw nv π⋅
ϕv2
4⋅:= Asw 39.3 mm
2⋅=
nominal lever arm value z 0.9 db⋅:=
αcw 1:=for non-prestressed structures
6.6 N υ1 0.6 1fck
250N
mm2
⋅
−
⋅:= υ1 0.5=
angle between shear reinforcement and member axis α 90 deg⋅:=
fcd
fck
γc
:= fcd 35.7N
mm2
⋅=
θmin acot 2.5( ):=θmin 21.8 deg⋅=
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CENTRUM PILE LTDCENTRUM PRECAST CONCRETE PILE
SIZE 200 SQUARE CALCULATIONS
Revision 0Date Dec 2008
By S A WildeApp P Withers
Concrete Capacity
VRd.min.22
αcw bw⋅ z⋅ υ1⋅ fcd⋅
cot θmin( ) tan θmin( )+( ):= VRd.min.22 174.5 kN⋅=
Shear link Capacity
VRd.s1
Asw
sv
z⋅fywk
γs
⋅ cot θmin( )⋅:= VRd.s1 54.9 kN⋅=
Shear Capacity
VRd min VRd.min.22 VRd.s1, ( ):= VRd 54.9 kN⋅=
Additional longitudinal bars
∆Ftd1 0.5 VRd⋅ cot θmin( ) cot α( )−( )⋅:= ∆Ftd1 68.6 kN⋅=
Astd1
∆Ftd1
fyk
γs
:=Astd1 150.9 mm
2⋅=
Area of main reinforcement Asb 226.2 mm2
⋅=
Additional reinforcement needs to be at least equal to area of reinforcement provided
Additional_reinforcement "satisfactory"=
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