ub fin plate design
DESCRIPTION
Detail Design Calculation for UB Fin plate bolted designTRANSCRIPT
V Ed = 350 kN DESIGN PASS ALL
F Ed = 350 kN
Bolt Size d = M16
Bolt Grade = G 8.8
Weld SizeWeld Size = 8 mm Fillet Weld
Weld Throat a = 5.6 mm
Height of Fin Plate hp = 360 mm
Width of Fin Plate wp = 160 mm
Thickness of Fin Plate tp = 10 mm
Steel Grade of Plate = S275
Vertical Line Bolt n2 = 2 Double Vertical Line
Number of Bolt n1 = 5 no.
z = 80 mm
gh = 10 mm gap between supported & supporting member
FIN PLATE DESIGN
INPUT DATA
DESIGN LOADING INPUT DATA
G 8.8
Total Number of Bolts nb = 10 no.
e1b = 90 mm
Bolt edge distance e1 = 40 mm Edge dist. OK
Bolt edge distance e2 = 50 mm Edge dist. OK
Bolt distance p1 = 70.0 mm Bolt c/c distance OK
p2 = 60 mm
Supported UB IPE 550 A
Steel Grade S275
Height of Beam hb 547 mm
SHEAR RESISTANCE OF BOLTS
F V,Rd = 60 kN
I = 107000 mm2
α = 0.0224
V Rd = 373 kN > V Ed 350 kN OK
For Vertical bearing resistance for a single bolt
F b,ver,Rd = 101.93 kN
For Horizontal bearing resistance for a single bolt
F b,hor,Rd = 118.49 kN
CHECK FOR VERTICAL SHEAR
BEARING RESISTANCE OF BOLTS ON THE FIN PLATE
IPE 550 A
S275
FV,Rd = (αv x fub x A) / λM2
V Rd = 671 kN > V Ed 350 kN OK
For Vertical bearing resistance for a single bolt
F b,ver,Rd = 123.84 kN
For Horizontal bearing resistance for a single bolt
F b,hor,Rd = 91.73 kN
V Rd = 662 kN > V Ed 350 kN OK
Shear resistance of gross section
V Rd,g = 450 kN
Shear resistance of net section
A v,net = 2700 mm2
V Rd,n = 536 kN
BEARING RESISTANCE OF BOLTS ON THE BEAM WEB
SHEAR RESISTANCE OF THE FIN PLATE
Block tearing resistance
for single vertical line
for double vertical line
net area of tension A nt = 830 mm2
net area of shear A nv = 2390 mm3
V Rd,b = 522 kN
V Rd,min = Min(V Rd,g ; V Rd,n ; V Rd,b )
V Rd,min = 450 kN > V Ed 350 kN OK
V Rd = ∞
tp/0.15 = 66.667
z > tp/0.15
λLT = 31
fp,LT = 274 N/mm2
V Rd = 742.5 kN > V Ed 350 kN OK
Shear and block tearing resistance
Shear resistance of gross section
A v,wb = 6000.9 mm2
= 4640.4 mm2
V Rd,g = 953 kN
Shear resistance of net section
A v,wb,net = 5190.9 mm2
BENDING RESISTANCE OF THE FIN PLATE
BUCKLING RESISTANCE OF THE FIN PLATE
SHEAR RESISTANCE OF THE BEAM WEB
V Rd,n = 1031 kN
Block tearing resistance
for single vertical line
for double vertical line
net area of tension A nt = 657 mm2
net area of shear A nv = 2682 mm2
V Rd,b = 539 kN
V Rd,min = Min(V Rd,g ; V Rd,n ; V Rd,b )
V Rd,min = 539 kN > V Ed 350 kN OK
Shear and bending interaction at the beam web
z > tp/0.15 Long Fin Plate - Check Required
F pl,BC,Rd = 372 kN
V BC,Ed = is the shear force on the beam web BC
V BC,Ed = V Ed - (V Rd,min - F pl,BC,Rd )
= -231
V BC,Ed = 0 kN
SHEAR AND BENDING INTERACTION OF UN-NOTCHED BEAM
M c,BC,Rd = 32.34 kNm
F pl ,AB,Rd = 130 kN
M c,BC,Rd + F pl,AB,Rd x(n1-1)p1 = 68.88 kNm
VEd x (z + p2/2) = 38.5 kNm ≤ 68.88 OK
WELD RESISTANCE
Weld Throat a ≥ 0.48 x tp OK
Shear resistance of bolt
F v,u = 68 kN
F Rd = 684 kN ≥ F Ed 350 kN OK
Bearing resistance of bolt on the fin plate
k1 = 2.5
αb = 0.86
F b,hor,u,Rd = 135 kN
F Rd = 1346 kN ≥ F Ed 350 kN OK
FIN PLATE AND BOLT GROUP RESISTANCE
Tension resistance of fin plate
Tension resistance of net section
F Rd,n = 950 kN
for CASE 1
for single vertical line
for double vertical line
A nt = 2080 mm2
A nv = 1660 mm2
F Rd,b = 1077 kN
for CASE 2
for single vertical line
for double vertical line
A nt = 2390 mm2
A nv = 830 mm2
F Rd,b = 1066 kN
F Rd = 950 kN ≥ F Ed 350 kN OK
Bearing resistance of bolts on the beam web
BEAM WEB RESISTANCE
k1 = 2.5
αb = 0.74
F b,hor,u,Rd = 104 kN
F Rd = 1042 kN ≥ F Ed 350 kN OK
TENSION RESISTANCE OF THE BEAM WEB
Tension resistance of net section
A net,wb = 2430 mm2
F Rd,n = 855 kN
Block tearing resistance
for single vertical line
for double vertical line
A nt = 1872 mm2
A nv = 1314 mm2
F Rd,b = 940 kN
F Rd = 855 kN ≥ F Ed 350 kN OK