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

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