Upload
xhq08
View
345
Download
3
Embed Size (px)
Citation preview
7/28/2019 Example Column Splice - Non-bearing Splice
http://slidepdf.com/reader/full/example-column-splice-non-bearing-splice 1/22
Document Ref: SX018a-EN-EU Sheet 1 of 21 Title Example: Column splice - non-bearing splice
Eurocode Ref EN 1993-1-8, EN1993-1-1Made by Edurne Nunez Date Mar 2005
CALCULATION SHEET
Checked by Abdul Malik Date Mar 2006
Example: Column splice - non-bearing spliceThis example presents a method for verifying the adequacy of a non-
bearing column splice using bolted flange and web cover plates. The design forces on the cover plates are determined from the axial load on the column, the nominal moments and shear forces. The design resistances of the cover plates and the bolt groups are then determined. The example also demonstrates the calculation of the tensile tying resistance of the splice for structural integrity.
1 Column Splice Design Resis tance
This example presents full details and procedures for each of the possibledesign checks; it also includes diagrams both for the notations and for thedimensions. In practice the presentation would normally be much shorter.
Design procedures are in accordance with guidance in SN023.
Table 1 gives the Section number in this example where the procedure for calculating the design resistance is presented. In Section 13, a summary of thevalues for design resistances and critical mode of failure are given.
SN023
Table 1: Design resistance of a non-bearing column spliceMode of failure Section Design Resistance
Flange cover platecompressiontension
7
N Rd,fp,c
N Rd,fp,t
Flange cover plate bolt group 8 V Rd,fp
Web cover plate 9 N Rd,wp,c
Web cover plate bolt group 10 V Rd,wp
Column web bolt group 11 V Rd,w
Structural integrity of the splice(under tying force)
12 N Rd,u
2 Column Splice Details
The details of the column splice are based on guidance for initial sizing givenin SN024 and are shown in the Figures below.
The hole positions for bolts comply with minimum and maximum spacing,end and edge distance requirements of §3.5 of EN1993-1-8.
EN1993-1-8§3.5
Example: Column splice - non-bearing splice
C r e a
t e d o n
F r i d a y ,
M a y
2 4
, 2 0 1 3
T h i s m a
t e r i a
l i s c o p y r i g h
t - a
l l r i g
h t s r e s e r v e
d .
U s e o
f t h i s d o c u m e n
t i s s u
b j e c t
t o t h e
t e r m s a n
d c o n
d i t i o n s o
f t h e
A c c e s s
S t e e
l L i c e n c e
A g r e e m e n
t
7/28/2019 Example Column Splice - Non-bearing Splice
http://slidepdf.com/reader/full/example-column-splice-non-bearing-splice 2/22
SX018a-EN-EU Sheet 2 of 21Document Ref:
Title Example: Column splice - non-bearing spliceCALCULATION SHEET
Eurocode Ref EN 1993-1-8, EN1993-1-1Made by Edurne Nunez Date Mar 2005
Checked by Abdul Malik Date Mar 2006
Column splice - Details
1,fp
1,fp
1,fp
1,fp
1,fp
1,fp
1,fp
fp
2,fp
fp
2,fp 2,fpb
p
p
p
p
p
p
p
e
pe e
h
=8
=8
n
n
fp
fp
jL
jL
gv 1,fp,j
1,wp
1,wp
1,wp
2,wp 2,wp
wp
fp
wp
e
p
p
p
e ep
b
t
t
t
h
2,wp
e 1,w
gv
n
n
wp=4
=4wp
f,uc
f,lc
t pa
e 2,w
1,wp,j
Example: Column splice - non-bearing splice
C r e a
t e d o n
F r i d a y ,
M a y
2 4
, 2 0 1 3
T h i s m a
t e r i a
l i s c o p y r i g h
t - a
l l r i g
h t s r e s e r v e
d .
U s e o
f t h i s d o c u m e n
t i s s u
b j e c t
t o t h e
t e r m s a n
d c o n
d i t i o n s o
f t h e
A c c e s s
S t e e
l L i c e n c e
A g r e e m e n
t
7/28/2019 Example Column Splice - Non-bearing Splice
http://slidepdf.com/reader/full/example-column-splice-non-bearing-splice 3/22
SX018a-EN-EU Sheet 3 of 21Document Ref:
Title Example: Column splice - non-bearing spliceCALCULATION SHEET
Eurocode Ref EN 1993-1-8, EN1993-1-1Made by Edurne Nunez Date Mar 2005
Checked by Abdul Malik Date Mar 2006
n
n
fp
fp
n
n
=8
=8
=4
=4
wp
wp
690
80
80
80
80
80
80
80
80
12.525
1050
1912
350
50
50
110
15055 55
260
40
110
40
80
150
35 35
85
240
240
10
HE 300 B
HE 260 A
Example: Column splice - non-bearing splice
C r e a
t e d o n
F r i d a y ,
M a y
2 4
, 2 0 1 3
T h i s m a
t e r i a
l i s c o p y r i g h
t - a
l l r i g
h t s r e s e r v e
d .
U s e o
f t h i s d o c u m e n
t i s s u
b j e c t
t o t h e
t e r m s a n
d c o n
d i t i o n s o
f t h e
A c c e s s
S t e e
l L i c e n c e
A g r e e m e n
t
7/28/2019 Example Column Splice - Non-bearing Splice
http://slidepdf.com/reader/full/example-column-splice-non-bearing-splice 4/22
Document Ref: SX018a-EN-EU Sheet 4 of 21 Title Example: Column splice - non-bearing splice
Eurocode Ref EN 1993-1-8, EN1993-1-1Made by Edurne Nunez Date Mar 2005
CALCULATION SHEET
Checked by Abdul Malik Date Mar 2006
3 Main join t dataConfiguration Non bearing column splice
Upper column HE 260A, S355
Lower column HE 300B, S355
Type of connection Flange and web cover plates, S355
Bolts M24, class 8.8
(Category A: Bearing type, Non-preloaded)
3.1 Upper Column HE 260A, S355Depth huc = 250 mm
Width buc = 260 mm
Thickness of the web t w,uc = 7,5 mm
Thickness of the flange t f,uc = 12,5 mm
Fillet radius r uc = 24 mm
Area Auc = 86,80 cm 2
Area of web Aw,uc = 21,80 cm 2
Area of flange Af,uc = 32,50 cm 2
Yield strength f y,uc = 355 N/mm 2
Ultimate tensile strength f u,uc = 510 N/mm 2
Number of bolts between one flange cover plate and upper column nfp = 8
Number of bolts between web cover plate and upper column nwp= 4
Direction of load transfer (1)
End of upper column to first bolt row on column web el,w = 50 mm
Pitch between bolt rows on column web p l,w = p1,wp = 80 mm
Direction perpendicular to load transfer (2)
Edge of upper column to first bolt line on the column web e2,w= 85 mm
Pitch between bolt lines on column web p2,w = p2,wp= 80 mm
Example: Column splice - non-bearing splice
C r e a
t e d o n
F r i d a y ,
M a y
2 4
, 2 0 1 3
T h i s m a
t e r i a
l i s c o p y r i g h
t - a
l l r i g
h t s r e s e r v e
d .
U s e o
f t h i s d o c u m e n
t i s s u
b j e c t
t o t h e
t e r m s a n
d c o n
d i t i o n s o
f t h e
A c c e s s
S t e e
l L i c e n c e
A g r e e m e n
t
7/28/2019 Example Column Splice - Non-bearing Splice
http://slidepdf.com/reader/full/example-column-splice-non-bearing-splice 5/22
Document Ref: SX018a-EN-EU Sheet 5 of 21 Title Example: Column splice - non-bearing splice
Eurocode Ref EN 1993-1-8, EN1993-1-1Made by Edurne Nunez Date Mar 2005
CALCULATION SHEET
Checked by Abdul Malik Date Mar 2006
3.2 Lower Column HE 300B, S355Depth hlc = 300 mm
Width blc = 300 mm
Thickness of the web t w,lc = 11 mm
Thickness of the flange t f,lc = 19 mm
Fillet radius r lc = 27 mm
Area Alc = 149,10 cm 2
Area of web Aw,lc = 35,10 cm 2
Area of flange Af,lc = 57,00 cm 2
Yield strength f y,lc = 355 N/mm 2
Ultimate tensile strength f u,lc = 510 N/mm 2
3.3 Flange cover plate 260 × 12 × 690, S355Vertical gap between column ends g v = 10 mm
Height hfp = 690 mm
Width bfp = 260 mm
Thickness t fp = 12 mm
Number of bolts between one flange cover plate and upper column nfp = 8
Direction of load transfer (1)
Plate edge to first bolt row el,fp = 50 mm
Pitch between bolt rows p l,fp = 80 mm
Pitch between bolt rows (across joint) p l,fp.j = 110 mm
Direction perpendicular to load transfer (2)
Plate edge to first bolt line e2,fp = 55 mm
Pitch between bolt lines p2,fp = 150 mm
Yield strength f y,p = 355 N/mm 2
Ultimate tensile strength f u,p = 510 N/mm 2
Example: Column splice - non-bearing splice
C r e a
t e d o n
F r i d a y ,
M a y
2 4
, 2 0 1 3
T h i s m a
t e r i a
l i s c o p y r i g h
t - a
l l r i g
h t s r e s e r v e
d .
U s e o
f t h i s d o c u m e n
t i s s u
b j e c t
t o t h e
t e r m s a n
d c o n
d i t i o n s o
f t h e
A c c e s s
S t e e
l L i c e n c e
A g r e e m e n
t
7/28/2019 Example Column Splice - Non-bearing Splice
http://slidepdf.com/reader/full/example-column-splice-non-bearing-splice 6/22
Document Ref: SX018a-EN-EU Sheet 6 of 21 Title Example: Column splice - non-bearing splice
Eurocode Ref EN 1993-1-8, EN1993-1-1Made by Edurne Nunez Date Mar 2005
CALCULATION SHEET
Checked by Abdul Malik Date Mar 2006
3.4 Flange packs 250 × 25 × 340, S355Vertical gap between column ends g v = 10 mm
Depth hfp,pa = 340 mm
Width bfp,pa = 250 mm
Thickness t pa = 25 mm
3.5 Web cover plate 150 × 8 × 350, S355Vertical gap between column ends g v = 10 mm
Height hwp = 350 mm
Width bwp = 150 mm
Thickness t wp = 8 mm
Number of bolts between web cover plate and upper column nwp = 4
Direction of load transfer (1)
Plate edge to first bolt row el,wp = 40 mm
Pitch between bolt rows p l,wp = 80 mmPitch between bolt rows (across joint) p l,wp,j = 110 mm
Direction perpendicular to load transfer (2)
Plate edge to first bolt line e2,wp = 35 mm
Pitch between bolt lines p2,wp = 80 mm
Yield strength f y,p = 355 N/mm 2
Ultimate tensile strength f u,p = 510 N/mm 2
3.6 Web packs 150 × 2 × 170, S355Vertical gap between column ends g v = 10 mm
Height hwp,pa = 170 mm
Width bwp,pa = 150 mm
Thickness t wp,pa = 2 mm
Example: Column splice - non-bearing splice
C r e a
t e d o n
F r i d a y ,
M a y
2 4
, 2 0 1 3
T h i s m a
t e r i a
l i s c o p y r i g h
t - a
l l r i g
h t s r e s e r v e
d .
U s e o
f t h i s d o c u m e n
t i s s u
b j e c t
t o t h e
t e r m s a n
d c o n
d i t i o n s o
f t h e
A c c e s s
S t e e
l L i c e n c e
A g r e e m e n
t
7/28/2019 Example Column Splice - Non-bearing Splice
http://slidepdf.com/reader/full/example-column-splice-non-bearing-splice 7/22
Document Ref: SX018a-EN-EU Sheet 7 of 21 Title Example: Column splice - non-bearing splice
Eurocode Ref EN 1993-1-8, EN1993-1-1Made by Edurne Nunez Date Mar 2005
CALCULATION SHEET
Checked by Abdul Malik Date Mar 2006
3.7 Bol ts M24, class 8.8(Category A: Bearing type, Non-preloaded)
Tensile stress area A s = 353 mm 2
Diameter of the shank d = 24 mm
Diameter of the holes d 0 = 26 mm
Yield strength f yb = 640 N/mm 2
Ultimate tensile strength f ub = 800 N/mm 2
4 Partial safety factors
γMO = 1,0
γM1 = 1,0
γM2 = 1,25 (for design resistance at ULS)
γM,u = 1,1 (for tying resistance at ULS)
5 Design forces and moments (at ULS)
Compression force due to permanent load N Ed,G = 825 kN
Compression force due to variable load N Ed,Q = 942 kN
Total design force N Ed = 1767 kN
Nominal design bending moment
(due to permanent and variable loads) M Ed = 15 kNm
Shear force (due to permanent and variable loads) V Ed = 8 kN
Tying force N Ed,u = 400 kN
Example: Column splice - non-bearing splice
C r e a
t e d o n
F r i d a y ,
M a y
2 4
, 2 0 1 3
T h i s m a
t e r i a
l i s c o p y r i g h
t - a
l l r i g
h t s r e s e r v e
d .
U s e o
f t h i s d o c u m e n
t i s s u
b j e c t
t o t h e
t e r m s a n
d c o n
d i t i o n s o
f t h e
A c c e s s
S t e e
l L i c e n c e
A g r e e m e n
t
7/28/2019 Example Column Splice - Non-bearing Splice
http://slidepdf.com/reader/full/example-column-splice-non-bearing-splice 8/22
SX018a-EN-EU Sheet 8 of 21Document Ref:
Title Example: Column splice - non-bearing spliceCALCULATION SHEET
Eurocode Ref EN 1993-1-8, EN1993-1-1Made by Edurne Nunez Date Mar 2005
Checked by Abdul Malik Date Mar 2006
6 Design modelFor maximum design compression force in the flange cover plates andmaximum compression in the web cover plates (see Figure 6.1 ):
• Assumed that all the beams are subjected to permanent and variableactions in combination.
Ed
Ed
Ed
N
V
M
Ed,fp,cEdN
V
Ed,wpN2
N Ed = N Ed,G + N Ed,Q
V Ed = V Ed,G + V Ed,Q
M Ed is the nominal design moment (seeSN005) (due to permanent and variableactions) in the upper column, i.e. at thefloor level immediately below thesplice.
= M Ed,G + M Ed,Q
For evaluation of N Ed,fp,c and N Ed,wp , see Sections7 and 9 respectively.
Figure 6.1 For maximum compression in flange and web cover plates
For maximum design tension force in the flange cover plates ( Figure 6.2 ):
• For nominal design moment M Ed, assume that the beams causing themoment are subject to permanent and variable actions in combination
• For design axial force in the column N Ed,G , assume that all the beams aresubject to permanent actions only
Ed
Ed
NV
M
N Ed,fp,t
Ed,G
N Ed,G is the axial force in the column due to
permanent action on all the beams
V Ed = V Ed,G + V Ed,Q
M Ed is the nominal design moment (seeSN005) (due to permanent and variableactions) in the upper column, i.e. at thefloor level immediately below the splice.
= M Ed,G + M Ed,Q
For evaluation of N Ed,fp,t , see Section 7
Figure 6.2 For maximum tension in flange cover plates
Example: Column splice - non-bearing splice
C r e a
t e d o n
F r i d a y ,
M a y
2 4
, 2 0 1 3
T h i s m a
t e r i a
l i s c o p y r i g h
t - a
l l r i g
h t s r e s e r v e
d .
U s e o
f t h i s d o c u m e n
t i s s u
b j e c t
t o t h e
t e r m s a n
d c o n
d i t i o n s o
f t h e
A c c e s s
S t e e
l L i c e n c e
A g r e e m e n
t
7/28/2019 Example Column Splice - Non-bearing Splice
http://slidepdf.com/reader/full/example-column-splice-non-bearing-splice 9/22
SX018a-EN-EU Sheet 9 of 21Document Ref:
Title Example: Column splice - non-bearing spliceCALCULATION SHEET
Eurocode Ref EN 1993-1-8, EN1993-1-1Made by Edurne Nunez Date Mar 2005
Checked by Abdul Malik Date Mar 2006
7 Flange cover plate N Ed,fp,c ≤ N Rd,fp,c (1) (For compression in flange cover plate)
N Ed,fp,t ≤ N Rd,fp,t (2) (For tension in flange cover plate)
Design axial forces
The maximum compressive design force on the flange cover plate ( N Ed,fp,c )may be calculated from:
( )⎟
⎟
⎠
⎞
⎜
⎜
⎝
⎛ ++=uc
ucf,QEd,GEd,
uc
Edcfp,Ed,
A
A N N
h
M N
∴ ( ) kN71980,86
32,50429825
10260
153cfp,Ed, =⎟
⎠ ⎞
⎜⎝ ⎛ ×++
×= − N
The maximum tensile design force on the flange cover plate ( N Ed,fp,t ) may becalculated from:
⎟⎟
⎠ ⎞
⎜⎜
⎝ ⎛ −=
uc
ucf,GEd,
uc
Edtfp,Ed, A
A N
h M
N
∴ kN25180,86
32,50825
10260
153tfp,Ed, −=⎟
⎠ ⎞
⎜⎝ ⎛ ×−
×= − N
Note: Since N Ed,fp,t is less than zero, there is no tensile force on the flangecover plate and check (2) for tension in the flange cover plate is not required .
SN023
Design resistance
The design resistance of the flange cover plate in compression ( N Rd,fp,c ) may be calculated from:
M0
py,fpcfp,Rd,γ
f A N = if p1,fp,j /t fp ≤ 9ε (see note 2 in Table 3.3 of EN1993-1-8)
M1
py,fpfpRd, b,cfp,Rd,
γ
f A N N
χ == if p1,fp,j /t fp > 9 ε
2fpfpfp mm312012260 =×=×= t b A
p1,fp,j /t fp = 110/12 = 9.2 which is greater than 9 ε
EN1993-1-1§6.2.4 (2)
EN1993-1-1§6.3.1.1 (3)
Example: Column splice - non-bearing splice
C r e a
t e d o n
F r i d a y ,
M a y
2 4
, 2 0 1 3
T h i s m a
t e r i a
l i s c o p y r i g h
t - a
l l r i g
h t s r e s e r v e
d .
U s e o
f t h i s d o c u m e n
t i s s u
b j e c t
t o t h e
t e r m s a n
d c o n
d i t i o n s o
f t h e
A c c e s s
S t e e
l L i c e n c e
A g r e e m e n
t
7/28/2019 Example Column Splice - Non-bearing Splice
http://slidepdf.com/reader/full/example-column-splice-non-bearing-splice 10/22
SX018a-EN-EU Sheet 10 of 21Document Ref:
Title Example: Column splice - non-bearing spliceCALCULATION SHEET
Eurocode Ref EN 1993-1-8, EN1993-1-1Made by Edurne Nunez Date Mar 2005
Checked by Abdul Malik Date Mar 2006
For Lcr = 0,6 p1,fp,j and using buckling curve c, χ = 1,0
∴ kN1108100,1
35531200,1 3cfp,Rd, =×××= − N
EN1993-1-1§6.3.1.2
Design check
Since N Ed,fp,c < N Rd,fp,c (719 kN < 1108 kN), the design axial resistance of theflange cover plate is adequate.
8 Flange cover plate bolt group
fpRd,cfp,Ed, V N ≤
Design axial force
The design axial force on the flange cover plate is:
kN719cfp,Ed, = N (see section 7)
SN023
Design resistances
The design resistance of the bolt group for Category A bolts (bearing type):
∑= Rd b,fpRd, F V maxRd b,Rdv,if F F ≥
minRd b,fp )( F n= maxRd b,Rdv,minRd b, )()(if F F F <≤
Rdv,fp F n= Rdv,minRd b,if F F >
EN1993-1-8§3.7
The design bearing resistance of a single bolt on the flange cover plate ( F b,Rd )is given by:
M2
fp pu, b1Rd b, γ
α t d f k F =
where:
⎟⎟
⎠
⎞⎜⎜
⎝
⎛ = 01;;
pu,
ubd b ,
f f
α α
⎟⎟
⎠ ⎞
⎜⎜
⎝ ⎛ −−= 52;71417182min
0
fp2,
0
fp2,1 , ,
d
p ,; ,
d
e ,k
Example: Column splice - non-bearing splice
C r e a
t e d o n
F r i d a y ,
M a y
2 4
, 2 0 1 3
T h i s m a
t e r i a
l i s c o p y r i g h
t - a
l l r i g
h t s r e s e r v e
d .
U s e o
f t h i s d o c u m e n
t i s s u
b j e c t
t o t h e
t e r m s a n
d c o n
d i t i o n s o
f t h e
A c c e s s
S t e e
l L i c e n c e
A g r e e m e n
t
7/28/2019 Example Column Splice - Non-bearing Splice
http://slidepdf.com/reader/full/example-column-splice-non-bearing-splice 11/22
SX018a-EN-EU Sheet 11 of 21Document Ref:
Title Example: Column splice - non-bearing spliceCALCULATION SHEET
Eurocode Ref EN 1993-1-8, EN1993-1-1Made by Edurne Nunez Date Mar 2005
Checked by Abdul Malik Date Mar 2006
where for the end bolts:
64,0263
503 0
fp1,d =
×==
d
eα
and for the inner bolts:
78,041
26380
41
3 0
fp1,d =−
×=−=
d
pα
57,1510
800
pu,
ub == f
f
Hence:
( 64,00,1;57,1;64,0min b == )α for end bolts and
( ) 78,00,1;57,1;78,0min b ==α for inner bolts.
22,47,126
558,27,1
8,2
0
fp2, =−×=−d
e
38,67,126
1504,17,14,10
fp2, =−×=−d p
∴ ( ) 5,25,2;38,6;22,4min1 ==k
Hence:
kN1881025,1
122451064,05,2)( 3
minRd b, =×××××= − F for end bolts, and
kN2291025,1
122451078,05,2)( 3
maxRd b,=×××××= − F for inner bolts.
The design shear resistance of a single bolt ( F v,Rd ) is given by:
M2
subv pRdv, γ
α β A f F =
where:
mm25 pa =t
mm83
243 ==d
EN1993-1-8Table 3.4
Example: Column splice - non-bearing splice
C r e a
t e d o n
F r i d a y ,
M a y
2 4
, 2 0 1 3
T h i s m a
t e r i a
l i s c o p y r i g h
t - a
l l r i g
h t s r e s e r v e
d .
U s e o
f t h i s d o c u m e n
t i s s u
b j e c t
t o t h e
t e r m s a n
d c o n
d i t i o n s o
f t h e
A c c e s s
S t e e
l L i c e n c e
A g r e e m e n
t
7/28/2019 Example Column Splice - Non-bearing Splice
http://slidepdf.com/reader/full/example-column-splice-non-bearing-splice 12/22
SX018a-EN-EU Sheet 12 of 21Document Ref:
Title Example: Column splice - non-bearing spliceCALCULATION SHEET
Eurocode Ref EN 1993-1-8, EN1993-1-1Made by Edurne Nunez Date Mar 2005
Checked by Abdul Malik Date Mar 2006
Since t pa > d /3, the reduction factor should be applied.
( ) ( )81,0
253248249
389
pa p =
×+××=
+=
t d d
β
25,1M2 =γ for shear resistance
6,0v =α for class 8.8 bolts
EN1993-1-8§3.6.1 (12)
2s mm353= A
∴ kN1101025,1
3538006,081,0 3Rdv, =××××= − F
Since F v,Rd < ( F b,Rd )min i.e 110 kN < 188 kN
1108Rdv,fpfpRd, ×== F nV
∴ kN880fpRd, =V
Design check
Since N Ed,fp,c < V Rd,fp (719 kN < 880 kN), the design resistance of the flangecover plate bolt group is adequate.
9 Web cover plate
cwp,Rd,wpEd, N N ≤
Design axial force
The compressive design force on one web cover plate ( N Ed,wp ) may becalculated from:
uc
ucw,EdwpEd, 2 A
A N N =
∴ kN22280,862
80,211767wpEd, =
××= N
SN023
Example: Column splice - non-bearing splice
C r e a
t e d o n
F r i d a y ,
M a y
2 4
, 2 0 1 3
T h i s m a
t e r i a
l i s c o p y r i g h
t - a
l l r i g
h t s r e s e r v e
d .
U s e o
f t h i s d o c u m e n
t i s s u
b j e c t
t o t h e
t e r m s a n
d c o n
d i t i o n s o
f t h e
A c c e s s
S t e e
l L i c e n c e
A g r e e m e n
t
7/28/2019 Example Column Splice - Non-bearing Splice
http://slidepdf.com/reader/full/example-column-splice-non-bearing-splice 13/22
SX018a-EN-EU Sheet 13 of 21Document Ref:
Title Example: Column splice - non-bearing spliceCALCULATION SHEET
Eurocode Ref EN 1993-1-8, EN1993-1-1Made by Edurne Nunez Date Mar 2005
Checked by Abdul Malik Date Mar 2006
Design resistanceThe design resistance of one web cover plate in compression ( N Rd,wp,c ) may becalculated from:
M0
py,wpcwp,Rd, γ
f A N = if p1,wp,j /t wp ≤ 9ε (see note 2 , Table 3.3 of EN1993-1-8)
M1
py,wpwpRd, b,cwp,Rd,
γ
f A N N
χ == if p1,wp,j /t wp > 9 ε
2wpwpwp mm12008150 =×=×= t b A
EN1993-1-1§6.2.4 (2)
EN1993-1-1§6.3.1.1 (3)
p1,wp,j /t fp = 110/8 = 13.8 which is greater than 9 ε
For Lcr = 0,6 p1,wp,j and using buckling curve c, χ = 0,9
∴ kN383100,1
35512009,0 3cwp,Rd, =×××= − N
EN1993-1-1§6.3.1.2
Design check
Since N Ed,wp < N Rd,wp,c (222 kN < 383 kN), the design resistance of the webcover plate is adequate.
Web cover plates should also be checked for combined bending, shear andaxial force in accordance with § 6.2.10 or § 6.2.1 (5) of EN1993-1-1.However in this case the shear force is small and the interaction is judged to
be satisfactory by inspection.
10 Web cover plate bolt group
Normally (unless end, edge distances are small) column web bolt group (seesection 11 ) will be critical, but for completeness the verification for the webcover plate bolt group is shown here:
wpRd,wpEd, V N ≤
Design axial force
The design axial force on one web cover plate ( N Ed,wp ) was calculated previously as:
N Ed,wp = 222 kN
SN023
Example: Column splice - non-bearing splice
C r e a
t e d o n
F r i d a y ,
M a y
2 4
, 2 0 1 3
T h i s m a
t e r i a
l i s c o p y r i g h
t - a
l l r i g
h t s r e s e r v e
d .
U s e o
f t h i s d o c u m e n
t i s s u
b j e c t
t o t h e
t e r m s a n
d c o n
d i t i o n s o
f t h e
A c c e s s
S t e e
l L i c e n c e
A g r e e m e n
t
7/28/2019 Example Column Splice - Non-bearing Splice
http://slidepdf.com/reader/full/example-column-splice-non-bearing-splice 14/22
SX018a-EN-EU Sheet 14 of 21Document Ref:
Title Example: Column splice - non-bearing spliceCALCULATION SHEET
Eurocode Ref EN 1993-1-8, EN1993-1-1Made by Edurne Nunez Date Mar 2005
Checked by Abdul Malik Date Mar 2006
Design resistanceThe design resistance of the bolt group for Category A bolts (bearing type):
∑= Rd b,wpRd, F V maxRd b,Rdv,if F F ≥
minRd b,wp )( F n= maxRd b,Rdv,minRd b, )()(if F F F <≤
Rdv,wp F n= Rdv,minRd b,if F F >
EN1993-1-8§3.7
The design bearing resistance of a single bolt on one web cover plate ( F b,Rd ) isgiven by:
M2
wp pu, b1Rd b, γ
α t d f k F =
EN1993-1-8Table 3.4
where:
⎟⎟
⎠
⎞⎜⎜
⎝
⎛ = 01;;min
pu,
ubd b ,
f f
α α
⎟
⎟
⎠ ⎞
⎜
⎜
⎝ ⎛ −−= 5271417182min
0
wp2,
0
wp2,
1 ,; ,
d
p ,; ,
d
e ,k
where for the end bolts:
51,0263
403 0
wp1,d =
×==
d
eα
and for the inner bolts:
78,041
26380
41
3 0
wp1,d =−
×=−=
d
pα
57,1510800
pu,
ub == f f
Hence:
( 51,00,1;57,1;51,0min b == )α for end bolts
( 78,00,1;57,1;78,0min b == )α for inner bolts.
Example: Column splice - non-bearing splice
C r e a
t e d o n
F r i d a y ,
M a y
2 4
, 2 0 1 3
T h i s m a
t e r i a
l i s c o p y r i g h
t - a
l l r i g
h t s r e s e r v e
d .
U s e o
f t h i s d o c u m e n
t i s s u
b j e c t
t o t h e
t e r m s a n
d c o n
d i t i o n s o
f t h e
A c c e s s
S t e e
l L i c e n c e
A g r e e m e n
t
7/28/2019 Example Column Splice - Non-bearing Splice
http://slidepdf.com/reader/full/example-column-splice-non-bearing-splice 15/22
SX018a-EN-EU Sheet 15 of 21Document Ref:
Title Example: Column splice - non-bearing spliceCALCULATION SHEET
Eurocode Ref EN 1993-1-8, EN1993-1-1Made by Edurne Nunez Date Mar 2005
Checked by Abdul Malik Date Mar 2006
07,27,126
358,27,18,20
wp2, =−×=−d e
61,27,126
804,17,1
4,1
0
wp2, =−×=−d
p
∴ ( ) 07,25,2;61,2;07,2min1 ==k
Hence:
kN831025,1
82451051,007,2)( 3
minRd b, =×××××= − F for end bolts, and
kN1261025,1
82451078,007,2)( 3
maxRd b, =×××××= − F for inner bolts.
From section 8, the design shear resistance of a single bolt ( F v,Rd ), withreduction factor b p =1.0 (i.e. web packing thickness < d/3) would be:
kN136Rdv, = F
Since F v,Rd > ( F b,Rd )max i.e 136 kN > 126 kN
∑= Rd b,wpRd, F V
kN4181262832wpRd, =×+×=V
∴ kN418wpRd, =V
Design check
Since N Ed,wp < V Rd,wp (222 kN < 418 kN), the design resistance of the web
cover plate bolt group is adequate.
Example: Column splice - non-bearing splice
C r e a
t e d o n
F r i d a y ,
M a y
2 4
, 2 0 1 3
T h i s m a
t e r i a
l i s c o p y r i g h
t - a
l l r i g
h t s r e s e r v e
d .
U s e o
f t h i s d o c u m e n
t i s s u
b j e c t
t o t h e
t e r m s a n
d c o n
d i t i o n s o
f t h e
A c c e s s
S t e e
l L i c e n c e
A g r e e m e n
t
7/28/2019 Example Column Splice - Non-bearing Splice
http://slidepdf.com/reader/full/example-column-splice-non-bearing-splice 16/22
SX018a-EN-EU Sheet 16 of 21Document Ref:
Title Example: Column splice - non-bearing spliceCALCULATION SHEET
Eurocode Ref EN 1993-1-8, EN1993-1-1Made by Edurne Nunez Date Mar 2005
Checked by Abdul Malik Date Mar 2006
11 Column web bolt group
wRd,wEd, V N ≤
Design axial force
The design axial force on the upper column web ( N Ed,w ) may be calculatedfrom:
uc
ucw,EdwEd, A
A N N =
∴ kN44480,86
80,211767wEd, =×= N
SN023
Design resistance
The design resistance of the bolt group for Category A bolts (bearing type):
∑= Rd b,wRd, F V maxRd b,Rdv,if F F ≥
minRd b,wp )( F n= maxRd b,Rdv,minRd b, )()(if F F F <≤
Rdv,wp2 F n= Rdv,minRd b,if F F >
Factor 2 used, because the bolts are in double shear.
EN1993-1-8§3.7
The design bearing resistance of a single bolt on the column web ( F b,Rd ) isgiven by:
M2
ucw,ucu, b1Rd b, γ
α t d f k F =
where:
⎟⎟
⎠ ⎞
⎜⎜
⎝ ⎛ = 01;;min
ucu,
ubd b ,
f f α α
⎟⎟
⎠ ⎞
⎜⎜
⎝ ⎛ −= 52;7141min
o
wp2,1 , ,
d
p ,k
where:
64,0263
503 o
w1,d =
×==
d
eα for the end bolts and
78,041
26380
41
3 o
wp1,d =−
×=−=
d p
α for the inner bolts
Example: Column splice - non-bearing splice
C r e a
t e d o n
F r i d a y ,
M a y
2 4
, 2 0 1 3
T h i s m a
t e r i a
l i s c o p y r i g h
t - a
l l r i g
h t s r e s e r v e
d .
U s e o
f t h i s d o c u m e n
t i s s u
b j e c t
t o t h e
t e r m s a n
d c o n
d i t i o n s o
f t h e
A c c e s s
S t e e
l L i c e n c e
A g r e e m e n
t
7/28/2019 Example Column Splice - Non-bearing Splice
http://slidepdf.com/reader/full/example-column-splice-non-bearing-splice 17/22
SX018a-EN-EU Sheet 17 of 21Document Ref:
Title Example: Column splice - non-bearing spliceCALCULATION SHEET
Eurocode Ref EN 1993-1-8, EN1993-1-1Made by Edurne Nunez Date Mar 2005
Checked by Abdul Malik Date Mar 2006
EN1993-1-8Table 3.457,1510800
pu,ub == f
f
Hence:
( 64,00,1;57,1;64,0min b == )α for end bolts
( 78,00,1;57,1;78,0min b == )α for inner bolts.
61,27,126
804,17,14,1
0
pw2, =−×=−d
p
∴ ( ) 5,25,2;61,2min1 ==k
Hence:
kN1181025,1
5,72451064,05,2)( 3
minRd b, =×××××= − F for end bolts, and
kN1431025,1
5,72451078,05,2)( 3
maxRd b, =×××××= − F for inner bolts
From section 8, the design shear resistance of a single bolt ( F v,Rd ), withreduction factor b p =1.0 (i.e. web packing thickness < d/3) would be:
kN136Rdv, = F
Since i.e 118 kN < 136 kN < 143 kNmaxRd b,Rdv,minRd b, )()( F F F <<
wRd,V minRd b,wp )( F n=
kN4721184wRd, =×=V
∴ kN472wRd,
=V
Design check
Since N Ed,w < V Rd,w (444 kN < 472 kN), the design axial resistance of the webof the upper column is adequate.
Example: Column splice - non-bearing splice
C r e a
t e d o n
F r i d a y ,
M a y
2 4
, 2 0 1 3
T h i s m a
t e r i a
l i s c o p y r i g h
t - a
l l r i g
h t s r e s e r v e
d .
U s e o
f t h i s d o c u m e n
t i s s u
b j e c t
t o t h e
t e r m s a n
d c o n
d i t i o n s o
f t h e
A c c e s s
S t e e
l L i c e n c e
A g r e e m e n
t
7/28/2019 Example Column Splice - Non-bearing Splice
http://slidepdf.com/reader/full/example-column-splice-non-bearing-splice 18/22
SX018a-EN-EU Sheet 18 of 21Document Ref:
Title Example: Column splice - non-bearing spliceCALCULATION SHEET
Eurocode Ref EN 1993-1-8, EN1993-1-1Made by Edurne Nunez Date Mar 2005
Checked by Abdul Malik Date Mar 2006
12 Structural integri ty of the splice (under tyingforce)
uRd,uEd, N N ≤
For a non-bearing column splice, there is no need to carry out this check,because it will always be satisfied, since the tying force will always be lessthan the design compression force. However, for a bearing column splice (seeSN019) this check will be required. But, since there is no worked example for a bearing column splice, the above check is demonstrated here.
Design tying forceThe design tying force on the column is:
kN400uEd, = N
SN023
SN019
Design resistance
Conservatively it can be assumed that the tying force at the column splice isresisted by the flange cover plates only.
Therefore, the design axial resistance of the column splice (in tension) ( N Rd,u )
is given by:fpu,Rd,uRd, 2 N N =
⎟⎟
⎠
⎞⎜⎜
⎝
⎛ = ∑ uRd, b,uRd,v,fp
uM,
pu,netfp,fpu,Rd, ;;
90min F F n
γ
f A , N
where:
( ) 2fp0fpfpnetfp, mm249612262122602 =××−×=−×= t d t b A
kN1042101.1
51024969090 3
uM,
pu,netfp, =×××= − ,γ
f A ,
The design shear resistance of a single bolt ( F v,Rd ) is given by:
uM,
subv pRdv, γ
α β A f F =
where:
mm25 pa =t and mm83
24
3 ==d
Since t pa > d /3, the reduction factor should be applied.
EN1993-1-8Table 3.4
Example: Column splice - non-bearing splice
C r e a
t e d o n
F r i d a y ,
M a y
2 4
, 2 0 1 3
T h i s m a
t e r i a
l i s c o p y r i g h
t - a
l l r i g
h t s r e s e r v e
d .
U s e o
f t h i s d o c u m e n
t i s s u
b j e c t
t o t h e
t e r m s a n
d c o n
d i t i o n s o
f t h e
A c c e s s
S t e e
l L i c e n c e
A g r e e m e n
t
7/28/2019 Example Column Splice - Non-bearing Splice
http://slidepdf.com/reader/full/example-column-splice-non-bearing-splice 19/22
SX018a-EN-EU Sheet 19 of 21Document Ref:
Title Example: Column splice - non-bearing spliceCALCULATION SHEET
Eurocode Ref EN 1993-1-8, EN1993-1-1Made by Edurne Nunez Date Mar 2005
Checked by Abdul Malik Date Mar 2006
( ) ( ) 81,0253248
24938
9 pa
p =×+× ×=+= t d d β
1,1uM, =γ for tying resistance
6,0v =α for class 8.8 bolts
2s mm353= A
∴ kN125101,1
3538006,081,0 3Rdv, =××××= − F
The design bearing resistance of a single bolt ( F b,Rd ) on the flange cover plateis given by:
uM,
fp pu, b1uRd, b, γ
α t d f k F =
EN1993-1-8Table 3.4
where:
1,1uM, =γ for tying resistance
⎟⎟
⎠ ⎞
⎜⎜
⎝ ⎛ = 01;;min
pu,
ubd b ,
f f
α α
⎟⎟
⎠ ⎞
⎜⎜
⎝ ⎛ −−= 52;7141;7182min
0
fp2,
0
fp2,1 , ,
d
p , ,
d
e ,k
For end bolts:
64,0
263
50
3 0
fp1,d =
×
==d
eα
and for inner bolts:
78,041
26380
41
3 0
fp1,d =−
×=−=
d
pα
Example: Column splice - non-bearing splice
C r e a
t e d o n
F r i d a y ,
M a y
2 4
, 2 0 1 3
T h i s m a
t e r i a
l i s c o p y r i g h
t - a
l l r i g
h t s r e s e r v e
d .
U s e o
f t h i s d o c u m e n
t i s s u
b j e c t
t o t h e
t e r m s a n
d c o n
d i t i o n s o
f t h e
A c c e s s
S t e e
l L i c e n c e
A g r e e m e n
t
7/28/2019 Example Column Splice - Non-bearing Splice
http://slidepdf.com/reader/full/example-column-splice-non-bearing-splice 20/22
SX018a-EN-EU Sheet 20 of 21Document Ref:
Title Example: Column splice - non-bearing spliceCALCULATION SHEET
Eurocode Ref EN 1993-1-8, EN1993-1-1Made by Edurne Nunez Date Mar 2005
Checked by Abdul Malik Date Mar 2006
57,1510800
pu,ub == f
f
Hence:
( 64,00,1;57,1;64,0min b == )α for end bolts, and
( ) 78,00,1;57,1;78,0min b ==α for inner bolts.
22,47,126
558,27,18,2
0
fp2, =−×=−d
e
38,67,126
1504,17,14,1
0
,2 =−×=−d
p fp
∴ ( ) 5,25,2;38,6;22,4min1 ==k
Hence:
kN214101,1
122451064,05,2 3uRd, b, =×××××= − F for end bolts, and
kN260101,1
122451078,05,2 3uRd, b, =×××××= − F for inner bolts.
⎟⎟
⎠
⎞⎜⎜
⎝
⎛ = uRd, b,fpuRd,v,fp
uM,
pu,netfp,fpu,Rd, ;;
90min F n F n
γ
f A , N
( )26062142;1258;1042minfpu,Rd, ×+××= N
( ) kN10001988;1000;1042minfpu,Rd, == N
kN2000100022 fpu,Rd,uRd, =×== N N
Design check
Since N Ed,u < N Rd,u (400 kN < 2000 kN), the design tying resistance of thecolumn splice is adequate.
Example: Column splice - non-bearing splice
C r e a
t e d o n
F r i d a y ,
M a y
2 4
, 2 0 1 3
T h i s m a
t e r i a
l i s c o p y r i g h
t - a
l l r i g
h t s r e s e r v e
d .
U s e o
f t h i s d o c u m e n
t i s s u
b j e c t
t o t h e
t e r m s a n
d c o n
d i t i o n s o
f t h e
A c c e s s
S t e e
l L i c e n c e
A g r e e m e n
t
7/28/2019 Example Column Splice - Non-bearing Splice
http://slidepdf.com/reader/full/example-column-splice-non-bearing-splice 21/22
7/28/2019 Example Column Splice - Non-bearing Splice
http://slidepdf.com/reader/full/example-column-splice-non-bearing-splice 22/22
Example: Column splice - non-bearing spliceSX018a-EN-EU
Quality Record
RESOURCE TITLE Example: Column splice - non-bearing splice
Reference(s)
ORIGINAL DOCUMENT
Name Company Date
Created by Edurne Nunez, SCI 03/2005
Technical content checked by Abdul Malik, SCI 03/2006
Editorial content checked by
Technical content endorsed by t he
following STEEL Partners:
1. UK G W Owens SCI 17/3/06
2. France A Bureau CTICM 17/3/06
3. Germany A Olsson SBI 17/3/06
4. Sweden C Müller RWTH 17/3/06
5. Spain J Chica Labein 17/3/06
Resource approved by TechnicalCoordinator
G W Owens SCI 18/07/06
TRANSLATED DOCUMENT
This Translation made by:
Translated resource approved by:
Example: Column splice - non-bearing splice
o n
F r i d a y ,
M a y
2 4
, 2 0 1 3
e r i a
l i s c o p y r i g h
t - a
l l r i g
h t s r e s e r v e
d .
U s e o
f t h i s d o c u m e n
t i s s u
b j e c t
t o t h e
t e r m s a n
d c o n
d i t i o n s o
f t h e
A c c e s s
S t e e
l L i c e n c e
A g r e e m e n
t