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Basic design data:▴

Design axial load: -820.0 kN ↓Design moment load: 225.0 kNm ↷Base plate steel grade: S275 275 N/mm² (EN 1993-1-1, Table 3.1)

30.0 N/mm² (EN 1992-1-1, Table 3.1)

Partial factors

1.50

1.00

1.25

Long-term effect coefficients

0.85

1.00

Column section HE A 400

390 mm

300 mm

11.0 mm

19.0 mm

NEd=

MEd=

fyp=

Foundation concrete class: C30/37 fck=

▪ concrete: γc= (EN 1992-1-1, Table 2.1N)

▪ steel: γM0= (EN 1993-1-1, § 6.1 (1))

▪ anchor bolts: γMb= (EN 1993-1-8, Table 2.1)

▪ compressive strength: αcc= (EN 1992-1-1, § 3.1.6 (1))

▪ tensile strength: αct= (EN 1992-1-1, § 3.1.6 (2))

▪ height: hc=

▪ width: b fc=

▪ web thickness: twc=

▪ flange thickness: t f c=

c =−B±√B2−4AC

2 A=

bp≥ (bfc

+2c) = hp≥ (hc

+2c )=b

p≥ (bfc

+2tfc)= h

p≥ (hc

+2tfc) =

Determination of base plate dimensions, based on compression force▴▴

-820.0 kN 1.50 0.85

225.0 kNm 1.00

Column section type: HE A 400

390 mm 300 mm 11.0 mm 19.0 mm

Foundation concrete class: C30/37 30.0 N/mm² (EN 1992-1-1, Table 3.1)

Presumed base plate thickness: 16 < t ≤ 40

Base plate steel grade: S275 265 N/mm² (EN 1993-1-1, Table 3.1)

Foundation joint coefficient: 2/3

1.50 concrete bearing strength enhancement ratio**

1016.5 kN maximum compressive force acting on the foundation

2032.9 kN assumed axial compressive load

17.00 N/mm² design bearing strength of the foundation joint

101647 mm² preliminary estimate of the base plate area

101647 mm² < 111150 mm² adopt a 'large projection' base plate

A B C 48.5 mm additional bearing width calculation

2 979.0 -52156.3 < 0

Check for overlapping T-stubs:

2c = 96.9 mm < 352.0 mm (check passed)

0

Required minimum plan dimensions and thickness of the base plate:

1396.9 mm 1 486.9 mm ('large projection' base plate)

0 0

21.3 mm

Determined base plate dimensions

22 mm 400 mm 490 mm S275

NEd= γc= αcc=

MEd= γM0=

hc= b f c= twc= t f c=

fck=

fyp=

β j= (EN 1993-1-8, § 6.2.5 (7))*

Nj,Ed= 2 max(FC,Ed)=

f jd= β jα fcd=

Ac0= 0.95hcb fc=

hc-2tfc=

tp= bp= hp=

α = √Ac1 /Ac0 =

FC ,Edmax

=∣M

Ed∣

hc−t fc

−N

Ed

2=

Ac 0

= max( 1hcbfc

[N j,Ed

f cd]

2

;N

j ,Ed

fcd )=

c =−B±√B2−4AC

2 A=

tp ≥ c √3 f jd γM0

fyp

=

Determination of base plate thickness and anchor bolt dimensions, based on tension force▴▴▴

-820.0 kN 1.50 1.25

225.0 kNm 1.00 1.00

390 mm 19.0 mm

196.5 kN maximum tensile force acting on the foundation

Base plate steel grade: S275 265.0 N/mm² (EN 1993-1-1, Table 3.1)

Foundation concrete class: C30/37 30.0 N/mm² (EN 1992-1-1, Table 3.1)

1

Estimated bond conditions: 'good' 1.00

M24 1.00

Stress area of the bolt: 353 mm² (EN ISO 898-1)

Bolt class: 6.8 600 N/mm² (EN ISO 898-1)

Type of the bolt bar: ribbed bar k= 2.25

Basic anchorage length: 900 mm

3.04 N/mm² design bond strength of the concrete

Anchor bolt size (first estimate):

227 mm² required bolt stress area (first estimate)

Required bolt diameter: M20 first estimate, based on the selected bolt class

Anchor bolt resistance:

206.4 kN design bond anchorage resistance of the bolt

152.5 kN design tensile resistance of the bolt

152.5 kN design resistance of a single anchor bolt

Anchor bolt check:

305.0 kN

196.5 kN

Satisfied

Required minimum base plate thickness:

10.9 mm

Determined anchor bolts and base plate thickness

Anchor bolts: M24 / 6.8 22 mm S275

NEd= γc= γMb=

MEd= γM0= αct=

hc= t fc=

fyp=

fck=

Number of bolt rows n :

η1= (EN 1992-1-1, § 8.4.1 (2))

Presumed bolt diameter ϕ : η2= (EN 1992-1-1, § 8.4.1 (2))

As=

fub=

Lb=

F t,bond,Rd=πϕ lbfbd=

Ft,anchor,Rd=min(F t,bond,Rd ; Ft,Rd)=

2nFt,anchor,Rd=

maxFT,Ed=

2nFt,anchor,Rd≥max(Ft,Ed)

tp=

FT ,Edmax

=∣M

Ed∣

hc− t fc

+N

Ed

2=

f bd = k η1 η2×αct×0.7×0.3 fck

2 /3

γc

=

As≥∣ F

T ,Edmax ∣γ

Mb

2×0.9 nfub

=

Ft,Rd

=0.9 f

ubA

s

γMb

=

tp ≥ √FT ,EdγM0

2nπ fyp

=

Notes:

50 mm then the minimum grout compressive strength= 4.00 MPa

50 mm then the minimum grout compressive strength= 20.00 MPa

maximum grout thickness: 80 mm

References:

* The use of the βj=2/3 coefficient value requires that the following conditions on the grout compressive strength be met:

if grout thickness ≤

if grout thickness >

(EN 1993-1-8, § 6.2.5 (7))

** The theoretical minimum value for the α ratio is 1, but the common practice is to adopt a value of 1.5. This corresponds to having continuous foundation dimensions of bf=1.5bp and h f=1.5hp.

EN 1992-1-1 --- Design of concrete structures. General rules and rules for buildings

EN 1993-1-1 --- Design of steel structures. General rules and rules for buildings

EN 1993-1-8 --- Design of steel structures. Design of joints

EN 1090-2 --- Execution of steel structures and aluminium structures - Part 2: Technical requirements for steel structures

EN ISO 898-1 --- Mechanical properties of fasteners made of carbon steel and alloy steel — Part 1: Bolts, screws and studs

SF045a-EN-EU --- Flow chart: Fixed column bases (Access Steel)

SN037a-EN-EU --- NCCI: Design model for simple column bases- axially loaded I-section columns (Access Steel)

SN043a-EN-EU --- NCCI: Design of fixed column base joints (Access Steel)