SN017 (NCCI - Shear Resistance of a Fin Plate Connection)
Short Description
SN017 (NCCI - Shear Resistance of a Fin Plate Connection)...
Description
NCCI: Shear resistance resistance of a fin plate connection connection SN017a-EN-EU
6 1 0 This NCCI provides rules for the determination of shear resistance of a "Simple Joint" 2 /rules using a fin plate connection for Beam/Column Beam/Column and Beam/Beam connections. connections. The 3 0 apply to a bolted connection connection loaded in shear and using using non-preloaded non-preloaded bolts (i.e. / Category Category 8the A: Bearing type bolted bolted connection). This This NCCI covers the rules for the fin plate, 2 supported beam beam and the supporting supporting column or beam. beam. The rules may may be used to evaluate the n based overall shear resistance resistance of the connection, connection, for all all the possible modes modes of failure, based on o the rules in EN 1993-1-8 1993-1-8 for determining the resistances of individual components components of the m connection. o c . Contents o o h 1. Design model 2 y a @ 2. Parameters 3 4 0 3. Bolts in shear 5 0 2 i 4. Fin plate in bearing 5 m a r 5. Fin plate in shear (gross section) 6 i_ t a 6. Fin plate in shear (net section) 6 m a 7. Fin plate in shear (block shear) h 7 t o 8. Fin plate in bending 7 d e 9. Fin plate in buckling (LTB) 7 s n 10. Beam web in bearing e 8 c i L 11. Beam web in shear . 9 (gross . section) l i a(net section) 12. Beam web in shear 9 r e t 13. Beam web in 9 ashear (block shear) m 14. Supporting column web or supporting beam web (punching shear) 10 d e t 15. Weld design 10 h g i r 16. Ductility requirements 11 y pRotation requirement 17. 11 o C NCCI NCCI:: Shear Shear resistance resi stance of a fin pl ate con nection necti on
18.
Limits of application
12
19.
Background
12
Page 1
NCCI: Shear resistance of a fin plate connection SN017a-EN-EU
6 1 0 2 /§5.1.2 Fin plate connections may be considered as “simple joints” according to EN1993-1-1 3 (1) and (2) and EN1993-1-8 §5.1.1 (1), (2) and (3). For further information about / simple 0 connections see SN020. Thus the effects of joint behaviour need not be taken into 8account in 2 the analysis of the frame. n o However, for the design of the connection itself, the effective line of transfer of vertical shear, i.e. where zero moment is assumed to exist, depends on the flexibility of m the supporting o element. In practice, most supports are neither fully rigid nor entirely c flexible. Therefore it is safe to design both the bolts and the welds for shear force and moment. . Hence, two design o is at the face of the models are used, one (to design the bolt group) where the line of transfer o htransfer is at the centreline supporting element and one (to design the weld) where the line of a of the bolt group. The two models are shown in Figure 1.1. y @ 4 0 0 2 i m a r_ i t a m a h t o d e s n e c i L . l i a r e t a m d e Figure 1.1 t Fin plate connection subject to vertical shear force h g i r y The p shear resistance and mode of failure of the connection is the value and mode that has the o lowest resistance of all the possible modes of failure. For rules for each of the modes of C failure, refer to Table 1.1 given below. 1.
Design model
1
1
3
1
3
4
2
2
For weld
For bolt group
Assumed lines of shear transfer
Key.
2
For weld
For bolt group
Assumed lines of shear transfer
For weld
For bolt group
Assumed lines of shear transfer
1. Fin plate
2. Supported beam
3. Supporting column 4. Supporting beam
Page 2
NCCI: Shear resistance of a fin plate connection SN017a-EN-EU
6 1 0 2 / 3 0 / 8 2 o n m o c . o o h y a @ 4 0 0 2 i m a r_ i t a 2. Parameters m a b b h g g tg o g d e s e e n e e e a c a i p p L h h . l p p a i r e e e t a m e e h h e p e d e z z t hn = 1 n = 2 g i r y p o Figure C 2.1 Parameters in a fin plate connection. Table 1.1
Shear resistance of fin plate connection
Mode of failure
Section number
Bolts in shear
VRd,1
3
Fin plate in bearing
VRd,2
4
Fin plate in shear (gross section)
VRd,3
5
Fin plate in shear (net section)
VRd,4
6
Fin plate in shear (block shear)
VRd,5
7
Fin plate in bending
VRd,6
8
Fin plate in buckling (LTB)
VRd,7
9
Beam web in bearing
VRd,8
10
Beam web in shear (gross section)
VRd,9
11
Beam web in shear (net section)
VRd,10
12
Beam web in shear (block shear)
VRd,11
13
Supporting column web or supporting beam web
VRd,12
14
(punching shear)
p
p
h
h
v
1,b
v
1,b
1 1
1 1
p
p
1
1
1
1
2
2
2, b
e
2
2
2, b
e
2
Page 3
NCCI: Shear resistance of a fin plate connection SN017a-EN-EU
6 1 0 2 Diameter of hole d / 3 0 Longitudinal end distance (fin plate) e / 8 Longitudinal end distance (to the edge of the beam or to the edge of a 2 notch) e Transverse end distance (fin plate) e o n Transverse end distance (beam web) e m o Ultimate tensile strength of the bolts f c . Ultimate tensile strength of the supported beam f o o Ultimate tensile strength of the supporting beam f h a Ultimate tensile strength of the supporting column y f @ Ultimate tensile strength of the fin plate f 4 0 Yield strength of the supported beam f 0 2 i Yield strength of the supporting beam f m Yield strength of the supporting column a f r_ Yield strength of the fin plate f i t a element and supported beam Horizontal gap between the supporting g m flange and top of fin plate a Vertical gap between the top of beam g h Depth of the supported beam o h t Distance between the bottom of the fin plate and the bottom of the supported beam. h d e Height of the fin plate s h n Inertia of the bolt group I e c i Total number of L bolts (i.e. n × n ) n . rows of bolts l Number of horizontal n a i r Number of vertical lines of bolts n e t Longitudinal p a bolt pitch m bolt pitch Transverse p dradius of the supported beam Fillet r e t h Thickness of the fin plate t g i rThickness of supported beam web t y t p Thickness of supporting beam web o C Thickness of column web t a
Throat thickness of fillet weld
Av,net
Net shear area of the fin plate
0
1
1,b 2
2,b
ub
u,b1 u,b2 u,c
u,p
y,b1 y,b2 y,c
y,p h v
b e
p
1
2
1 2 1 2
p
w,b1 w,b2 w,c
z
Transverse distance (face of supporting element to centre of bolt group)
Page 4
NCCI: Shear resistance of a fin plate connection SN017a-EN-EU
6 1 0 2 / n F 3 V = 0 / (1 + α n ) + ( β n) 8 2 The shear resistance of a single bolt, F is given in Table 3.4 of EN1993-1-8 as: o n α f A m = F o γ c . o o For a single vertical line of bolts ( n = 1, n = n ) h y a =0 α @ 4 6 z 0 β = 0 n (n + 1) p 2 i For two vertical lines of bolts ( n = 2, n = 2 n ) m r_ a z p i t = α a 2 I m a z p h (n − 1) = β 2 I t o d where: e s 1 n n I = p + n (n − 1) p e 2 6 c i L . l 4. Fin plate i ain bearin g r e n t a V = ⎛ 1 m ⎞ ⎛ ⎞ ⎜ d+ α n ⎟ + ⎜ β n ⎟ ⎟ ⎜ F ⎟ ⎜ F e ⎝ ⎠ ⎝ ⎠ t h g Where i , β and n are as defined in section 3 above. α r y The p bearing resistance of a single bolt, F is given in Table 3.4 of EN1993-1-8 as: o C k α f d t 3.
Bolts in shear v,Rd
Rd,1
2
2
v,Rd
v
ub
v,Rd
M2
2
1
1
2
1
2
1
1
1
2 2
2 1 1
Rd,2
2 1
2
b,Rd,ver
2
b,Rd,hor
b,Rd
F b, Rd
=
1 b u
γ M2
Therefore vertical bearing resistance of a single bolt on the fin plate, F b,Rd,ver is: Page 5
NCCI: Shear resistance of a fin plate connection SN017a-EN-EU
6 1 0 2 / where: 3 0 / ⎛ e ⎞ 8 p f 1 ; α ; 1 ,0 ⎟ = min⎜⎜ − ; 2 ⎟ f 3d 4 ⎝ 3d ⎠ o n ⎛ e ⎞ p m = min⎜⎜ 2 ,8 − 1 ,7; 1 ,4 − 1 ,7; 2 ,5 ⎟⎟ k o d ⎝ d ⎠ c .F is: o Similarly horizontal bearing resistance of a single bolt on the fin plate, o h k α f d t a F = y γ @ 4 0 where: 0 2 i ⎛ e ⎞ f p 1 ⎟ α = min⎜ m ⎜ 3d ; 3d − 4 ; f ; 1 ,0 ⎟ a ⎝ ⎠ r_ i t ⎛ e ⎞ p = min⎜⎜ 2 ,8 − 1 ,7; 1 ,4 − 1 ,7; 2 , a k 5 ⎟⎟ d ⎠ ⎝ d m h a t o(gross section) 5. Fin plate in shear d e h t f s = V n 1,27 3 γ e c i L Note: The coefficient 1,27 . takes into account the reduction of the shear resistance, due to the l see reference (1) (section 6.3.3). For further explanation, see: presence of bending moment, a i r e process for the design of simple structural joint in steel frames Development of a t European a Sandra, Diploma work, University of Liege, June 2003. (in French), by RENKIN m d e t plate in shear (net secti on) 6. h Fin i g f r V y= A p 3 γ o C where: =
F b, Rd, ver
k 1α b f u, p d t p
γ M2
1
b
o
1
1
ub
o
u, p
2
2
o
o
b,Rd,hor
1 b u, p
p
b, Rd, hor
M2
2
b
o
1
2
ub
o
u, p
1
1
o
o
p p
y, p
Rd,3
M0
u, p
Rd,4
v,net
M2
Av,net
= t p
h p
− n1d 0
Page 6
NCCI: Shear resistance of a fin plate connection SN017a-EN-EU
6 1 0 2 / = V V 3 0 / From § 3.10.2 (3) of EN1993-1-8 8 2 n 0,5 f A A 1 o V = + f γ γ 3 m o c where: . o is the net area subjected to tension A o h ⎛ a − d ⎞ for a single vertical line of bolts (i.e. n = 1) A = t y ⎜e ⎟ 2 ⎝ ⎠ @ 4⎛ d ⎞ 0 for two vertical lines of bolts (i.e. n = 2) A 0 = t ⎜ p + e − 3 ⎟ 2 ⎠ 2 ⎝ i is the net area subjected to shear A m a r_ = t (h – e – (n – 0,5) d ) i t a m 8. Fin plate in bending a h If h ≥ 2,73 z then: t o d =∞ V e s n else: e c i W f L V = . l z γ i a r e Where: t a t h m = W 6 d e t h i g 9. r Fin plate in buckli ng (LTB) y p W σ o V = C z γ 7.
Fin plate in shear (block shear)
Rd,5
eff,2,Rd
u, p
nt
nv
eff,2,Rd
y, p
M2
M0
nt
2
2
nt
nt
p
p
0
2
2
2
0
nv
p
p
1
1
0
p
Rd,6
el
y, p
Rd,6
M0
2 p p
el
el
Rd,7
M0
where:
Page 7
NCCI: Shear resistance of a fin plate connection SN017a-EN-EU
6 1 6 0 2 / ⎛ t ⎞ 3 σ = 235 × 81⎜⎜ ⎟⎟ (N/mm ) 0 / ⎝ z ⎠ 8 2 Note: Lateral torsional buckling (LTB) is due to compression stresses which may develop in the lower part of the fin plate under the action of the bending moment. o n m o c 10. Beam web in bearing . o o n h V = a ⎛ 1 + α n ⎞ ⎛ β n ⎞ y ⎜ ⎟ +⎜ ⎟ ⎜ F ⎟ ⎜ F ⎟ @ ⎝ ⎠ ⎝ ⎠ 4 0 0 Where α , β and n are as defined in section 3 above. 2 i min Table 3.4 of EN1993-1-8 as: The bearing resistance of a single bolt, F is given a r_ i k α f d t t F = a γ m bolt on the supported beam web, F is: Therefore vertical bearing resistance of a single a h o k α f d t t F = d γ e s n where: e c i ⎛ p 1 L ⎞ f ; . ; 1,0 ⎟ = min⎜⎜ − l α ⎟ 4 a f ⎝ 3d i ⎠ r e e ⎛ t ⎞ 1.4 p k = min⎜⎜ 2,8 a − 1,7; − 1,7; 2,5 ⎟⎟ d ⎝ m d ⎠ d e Similarly horizontal bearing resistance of a single bolt on the supported beam web, F is: t h g i= k α f d t r F y γ p o C where: W el
=
t p h p2
2
p
2
Rd,8
2
2
b,Rd,ver
b,Rd,hor
b,Rd
1 b
u
b, Rd
M2
b,Rd,ver
1 b
u, b1
w, b1
b, Rd, ver
M2
b
1
ub
o
u, b1
2, b
2
1
o
o
b,Rd,hor
1 b
u, b1
w, b1
b, Rd, hor
M2
α b
⎛ e = min⎜⎜ 2 , b ; ⎝ 3d o
p 2
3d o
−
1 4
;
f ub f u, b1
⎞ ⎟ ⎠
; 1 ,0 ⎟
Page 8
NCCI: Shear resistance of a fin plate connection SN017a-EN-EU
6 1 ⎠ 0 2 / 3 0 / 11. Beam web in shear (gross section) 8 2 From § 6.2.6 (2) of EN1993-1-1 n o f = V = A V m 3 γ o c . o o 12. Beam web in shear (net secti on) h a y f = A V @ 3 γ 4 0 0 2 where: i m = A − n d t A a r_ i t a 13. Beam web in shear (block shear) m V = V h a o t From § 3.10.2 (3) of EN1993-1-8 d 0,5 f A 1 e A = + s f V γ n3 γ e c i where: L . is the net area l subjected to tension A i a r evertical line of bolts (i.e. n = 1) A = t ⎛ ⎜ e − d 2 ⎞⎟ for a single t ⎝ ⎠ a m ⎛ p + e − 3 d ⎞ for two vertical lines of bolts (i.e. n = 2) A = t ⎜ ⎟ d 2 ⎠ ⎝ e t h is the net area subjected to shear A g i r = t e + (n − 1) p − (n − 0,5)d y p o C k 1
⎛ p = min⎜⎜1,4 1 − 1,7; ⎝ d o
⎞
2,5 ⎟⎟
y, b1
Rd,9
pl,Rd
v, b
M0
u, b1
Rd,10
v, b, net
M2
v, b, net
v, b
1 0 w, b1
Rd,11
eff,2, Rd
u, b1 nt
eff,2,Rd
y, b1
M2
nv
M0
nt
2
2
nt
nt
w, b1
w, b2
2
2, b
2, b
0
0
nv
w, b1 1, b
1
1
1
0
Page 9
NCCI: Shear resistance of a fin plate connection SN017a-EN-EU
6 1 0 2 / 3 0 / If fin plate is connected to supporting column web or supporting beam web 8 2 t h f n V = o 6 z m o where: c . o is thickness of supporting column web or beam web, t or t t o h is ultimate tensile strength of supporting column or supporting beam, f or f f y a @ 4 15. Weld design 0 0 2considered as end fillet welds. The Provide full strength double fillet welds. The welds are i size of the weld throat “a” complies with the following m requirement: a r_ a ≥ 0,46t for S235 fin plate i t a a ≥ 0,48t for S275 fin plate m a h t o d e s n e c i L . l i a r e t a m d e t h i g r y p o Figure C 15.1 Fillet weld, throat and leg length 14. Supporting colum n web or supporting b eam web (punchi ng shear) 2
w p
u
Rd,12
w
w,c
u
w,b2
u,c
u,b2
p
p
tp
1
a
2
s
t f ,c , t w,c , t w,b2
Key:
1. Fin plate
2. Supporting element a: weld throat s: leg length
a ≥ 0,55t p for S355 fin plate
Page 10
NCCI: Shear resistance of a fin plate connection SN017a-EN-EU
6 1 0 2 / To ensure adequate ductility, the following requirements must be satisfied 3 0 / and • V < min V ; V 8 2 then • If V = V ; V ; V ; V ; V ; V or V o n m > min (V ; V ) V o c . o o h 17. Rotation requirement a y To ensure adequate rotation capacity, requirements (1) and @ (2) or requirement (3) given below must be satisfied. 4 0 0 (1) h ≤ d 2 i m a Where r_ i t d = h − 2t − 2 r a m (2) φ > φ a h Where: t o d according to the structural system and loading. For e The “required rotation”, φ , varies s example, for a simply supported nbeam (length L and second moment of area I ) subject to a e uniformly distributed load ( γ g+γ q) at ULS: c i L (γ g + γ q) l L . φ = a 24 EI i r e t a ⎛ h ⎞ • If z > m ( z − g ) + ⎜⎜ + h ⎟⎟ , then: ⎝ 2 ⎠ d e t h φ = ∞ g i r • yElse: p o C 16.
Ductility requirements
Rd
Rd,1
Rd
Rd,3
Rd,4
Rd,1
p
Rd,7
Rd,2
Rd,5
Rd,6
Rd,9
Rd,10
Rd,11
Rd,8
b1
b1
b
f, b1
available
required
required
G
Q
3
G
Q
required
2
2
h
p
e
available
Page 11
NCCI: Shear resistance of a fin plate connection SN017a-EN-EU
6 1 0 2 / 3 0 / 8 2 n (3) Provide details as given in SN016 for the initial design of fin plate connections or o provide standard details as given in reference (2). m o c . 18. Limits of application o o h This NCCI applies to one or two vertical lines of bolts (i.e. n =1 a or n =2) using non-preloaded y with EN1993-1-8 §3.4.1. bolts for Category A: Bearing type bolted connection in accordance @ 4 0 0 19. Background 2 i m The rules in this NCCI are based on: a r _ of simple joints in steel structures (1) European recommendations for the design i t Document prepared under the supervision of ECCS TC10 by: J.P. Jaspart, S. Renkin a and M.L. Guillaume - First draft, September 2003. m h a Connections (P212). The Steel Construction (2) Joints in Steel Construction – Simple Institute and The British Constructional t o Association Ltd., 2002. d e s n e c i L . l i a r e t a m d e t h i g r y p o C ⎛ ⎞ ⎜ ⎟ ⎜ ⎟ z ⎜ ⎟ − φ available = arcsin 2 ⎟ ⎜ h p ⎛ ⎞ 2 ⎜ ( z − g h ) + ⎜ + he ⎟ ⎟ ⎜2 ⎟ ⎜ ⎝ ⎠ ⎠⎟ ⎝
⎛ ⎞ ⎜ z − g ⎟ h ⎟ arctan⎜ ⎜ h p ⎟ ⎜ + he ⎟ ⎝ 2 ⎠
2
2
Page 12
NCCI: Shear resistance of a fin plate connection SN017a-EN-EU
6 1 0 2 / 3 0 / 8 2 o n m o c . o o h y a @ 4 0 0 2 i m a r_ i t a m a h t o d e s n e c i L . l i a r e t a m d e t h i g r y p o C
Quality Record
RESOURCE TITLE
NCCI: Shear resistance of a fin plate connection
Reference(s)
ORIGINAL DOCUMENT
Name
Compan y
Date
Created b y
Abdul Malik
SCI
Jan 2005
Technical cont ent checked by
Boris Jurasinovic, Edurne Nunez
SCI
August 2005
Editorial content checked by
D C Iles
SCI
16/9/05
1. UK
G W Owens
SCI
16/9/05
2. France
A Bureau
CTICM
16/9/05
3. Sweden
A Olsson
SBI
15/9/05
4. Germany
C Müller
RWTH
14/9/05
5. Spain
J Chica
Labein
16/9/05
G W Owens
SCI
22/5/05
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