ub fin plate design

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V Ed = 350 kN DESIGN PASS ALL F Ed = 350 kN Bolt Size d = M16 Bolt Grade = G 8.8 Weld Size eld Size = 8 mm Fillet Weld Weld Throat a = 5.6 mm Height of Fin Plate h p = 360 mm Width of Fin Plate w p = 160 mm Thickness of Fin Plate t p = 10 mm Steel Grade of Plate = S275 Vertical Line Bolt n 2 = 2 Double Vertical Line Number of Bolt n 1 = 5 no. z = 80 mm g h = 10 mm gap between supported & supporting member FIN PLATE DESIGN INPUT DATA DESIGN LOADING INPUT DATA G 8.8

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Detail Design Calculation for UB Fin plate bolted design

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Page 1: UB Fin Plate Design

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

Page 2: UB Fin Plate Design

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

Page 3: UB Fin Plate Design

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

Page 4: UB Fin Plate Design

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

Page 5: UB Fin Plate Design

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

Page 6: UB Fin Plate Design

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

Page 7: UB Fin Plate Design

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

Page 8: UB Fin Plate Design

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