Project 2 - Review of Shear, Moment & Splice connections in StaadPro Connection Module
Design and optimize typical shear, moment and Splice joints in Staad Connection module for the following structure modelled in staadpro. Generate Report.
Design and optimize braced connection (use US standard connections) in RAM Connection.
Structure: A 2D portal frame fixed support spanning 15m with a pitched roof ridge height of 12m with eaves Height of 11.5m. A uniformly distributed load of 10kN/m is applied on the roof beams. Optimize the beams and columns for 85% utilization and consider splice joints at 6m from base and 3m from beam column joints. Consider a hanger beam shear connected with column support of 4m height at 3m from beam-column corner joint carrying 5kN/m vertical load and 5kN horizontal load, hanger beam end is tied with a brace to the eave.
SOLUTION:
- Make the model in STAAD PRO according to the geometry given in the question.
- Give releases where ever necessar
- Assign properties to all the members
- Assign all load that is self weight & live load
- Assign all the design parameters to the member & run the analysis.
- All the members are passing as shown below
- After passing all the members design all the connection
- 1. BCF shear connection between column & hanger beam.
- The connection is passing with a ratio of 0.26.
- The DXF & Report is also generated as shown below.
- DXF
B. Report
Current Date: 4/27/2023 8:37:19 AM
Units System: kip_in
Design code: AISC 360-16 ASD
DEMANDS
Description Ru Pu Load type
kip kip
LC-1 0.08 -1.13 Design
LC-2 1.53 -7.57 Design
LC-100 1.62 -8.70 Design
LC-101 2.42 -13.05 Design
GEOMETRIC CONSIDERATIONS
Dimensions Unit Value Min. Max. Sta. References
Angle
Length [in] 5.50 3.35 6.69 p. 10-8
Angle (Beam side)
Weld size [1/16in] 3 2.00 7.00 table J2.4, Sec. J2.2b
Angle (Support side)
Vertical edge distance [in] 1.50 1.00 - Tables J3.4, J3.5
Horizontal edge distance [in] 1.50 1.00 - Tables J3.4, J3.5
Vertical center-to-center spacing (pitch) [in] 2.50 2.00 12.00 Sec. J3.3, Sec. J3.5
Support
Horizontal edge distance [in] 3.31 1.00 - Tables J3.4, J3.5
DESIGN CHECK
Verification Unit Capacity Demand Ctrl EQ Ratio References
Angle (Beam side)
Weld capacity [kip] 73.21 13.28 LC-101-3 0.18 Tables 8-4 .. 8-11
Shear yielding [kip] 79.20 2.42 LC-101-3 0.03 Eq. J4-3
Angle (Support side)
Bolts shear [kip] 47.74 2.42 LC-101-3 0.05 Tables (7-1..14)
Bolt bearing under shear load [kip] 90.26 2.42 LC-101-3 0.03 p. 7-18, Sec. J3.10
Shear yielding [kip] 79.20 2.42 LC-101-3 0.03 Eq. J4-3
Shear rupture [kip] 65.25 2.42 LC-101-3 0.04 Eq. J4-4
Block shear [kip] 74.01 2.42 LC-101-3 0.03 Eq. J4-5
Beam
Welds rupture [kip/in] 7.81 2.02 LC-101-3 0.26 p. 9-5
Shear yielding [kip] 25.44 2.42 LC-101-3 0.10 Eq. J4-3
Support
Bolt bearing under shear load [kip] 104.40 2.42 LC-101-3 0.02 Eq. J3-6
Web crippling [kip] 97.78 13.05 LC-101-3 0.13 Eq. J10-4
Global critical strength ratio 0.26
- 2. BCF moment connection between column & rafter beam joint.
- The connection is passing with a ratio of 0.32
- The DXF & Report is also generated as shown below.
- DXF
B. Report
Current Date: 4/27/2023 10:02:50 AM
Units System: kip_in
Design code: AISC 360-05 ASD, AISC 341-05 ASD
DEMANDS
Description Ru Pu Mu PufTop PufBot PufTop PufBot Pu Vu Load type
kip kip kip*ft kip kip kip kip kip kip
LC-1 0.04 -0.53 0.78 -0.71 0.18 0.00 0.00 -2.56 0.05 Design
LC-2 0.34 -4.74 4.22 -4.79 0.05 0.00 0.00 -18.63 0.22 Design
LC-100 0.37 -5.27 5.00 -5.50 0.23 0.00 0.00 -21.19 0.26 Design
LC-101 0.56 -7.91 7.51 -8.25 0.35 0.00 0.00 -31.78 0.39 Design
GEOMETRIC CONSIDERATIONS
Dimensions Unit Value Min. Max. Sta. References
Plate (beam side)
Horizontal center-to-center spacing (gage) [in] 3.00 2.67 12.00 Sec. J3.3, Sec. J3.5
Top flange plate data
Vertical edge distance [in] 2.75 1.25 - Tables J3.4, J3.5
Horizontal edge distance [in] 2.00 1.25 - Tables J3.4, J3.5
Bottom flange plate data
Vertical edge distance [in] 2.75 1.25 - Tables J3.4, J3.5
Horizontal edge distance [in] 2.00 1.25 - Tables J3.4, J3.5
Plate (support side)
Top plate weld size - column flange [1/16in] 4 3.00 - table J2.4
Bottom plate weld size - column flange [1/16in] 4 3.00 - table J2.4
Beam
Vertical edge distance [in] 2.00 1.25 - Tables J3.4, J3.5
Horizontal edge distance [in] 2.24 1.25 - Tables J3.4, J3.5
Support
Thickness [in] 0.50 0.21 - p. 9-5
Seismic prequalification for selected frame system does not exist
DESIGN CHECK
Verification Unit Capacity Demand Ctrl EQ Ratio References
Top plate (beam side)
Compression [kip] 75.45 8.01 LC-101-3 0.11 Sec. J4.4
Tension yielding [kip] 75.45 0.00 LC-1-0 0.00 Eq. J4-1
Bolts shear [kip] 37.68 8.10 LC-101-3 0.22 Tables (7-1..14)
Bolt bearing (Top plate) [kip] 69.60 8.10 LC-101-3 0.12 Eq. J3-6
Block shear [kip] 48.79 0.00 LC-1-0 0.00 Eq. J4-5
Tension rupture [kip] 68.88 0.00 LC-1-0 0.00 Eq. J4-2
Bottom plate (beam side)
Tension yielding [kip] 75.45 0.16 LC-1-0 0.00 Eq. J4-1
Compression [kip] 75.45 0.09 LC-2-1 0.00 Sec. J4.4
Bolts shear [kip] 37.68 0.19 LC-101-3 0.01 Tables (7-1..14)
Tension rupture [kip] 68.88 0.16 LC-1-0 0.00 Eq. J4-2
Block shear [kip] 48.79 0.16 LC-1-0 0.00 Eq. J4-5
Bolt bearing (Bottom plate) [kip] 69.60 0.19 LC-101-3 0.00 Eq. J3-6
Top plate (support side)
Weld to column [kip] 77.96 8.25 LC-101-3 0.11 Eq. J2-4
Bottom plate (support side)
Weld to column [kip] 77.96 0.35 LC-101-3 0.00 Eq. J2-4
Beam
Top flange bending [kip*in] 3567.59 90.07 LC-101-3 0.03 Sec. F13.1
Top flange bolt bearing under shear load [kip] 77.67 8.25 LC-101-3 0.11 Eq. J3-6
Top flange block shear [kip] 106.76 8.25 LC-101-3 0.08 Eq. J4-5
Bottom flange bending [kip*in] 3567.59 90.07 LC-101-3 0.03 Sec. F13.1
Bottom flange bolt bearing under shear load [kip] 77.67 8.25 LC-101-3 0.11 Eq. J3-6
Bottom flange block shear [kip] 106.76 8.25 LC-101-3 0.08 Eq. J4-5
Support
Panel web shear [kip] 72.97 0.15 LC-101-3 0.00 Sec. J10-6, Eq. J10-9
Support - right side
Bottom local flange bending [kip] 33.68 0.16 LC-1-0 0.00 Eq. J10-1
Local web yielding [kip] 24.72 8.01 LC-101-3 0.32 Eq. J10-3
Top web bearing [kip] 34.57 8.01 LC-101-3 0.23 Eq. J10-5a
Bottom web bearing [kip] 69.13 0.09 LC-2-1 0.00 Eq. J10-4
Global critical strength ratio 0.32
- 3. Splice connection moment connection between column to column joint.
- The connection is passing with a ratio of 0.32
- The DXF & Report is also generated as shown below.
- DXF
B. Report
Current Date: 27-04-2023 16:57
Units system: SI
File name: D:\SKILL LYNC\MODULE 3\Project 2\project 2 connections.rcnx
Steel connections
Results
______________________________________________________________________
____________________________________________________________
Connection name : BCP_IS_Flange_Splice_CS All bolted
Connection ID : 1M
____________________________________________________________
Family: Column splice (CS)
Type: Flange-plated
Design code: IS 800 : 2007
DEMANDS
Description Pu Muin Muout
[kN] [kN*m] [kN*m]
---------------------------
DL -159.00 84.00 0.00
---------------------------
GEOMETRIC CONSIDERATIONS
Dimensions Unit Value Min. value Max. value Sta. References
----------------------------------------------------------------------
Top column
Flange cover plate
Bolt diameter [mm] 20.00 0.00 -- SCI P358 p.185
d = 0.75*tpk
= 0.75*0[mm]
= 0[mm] SCI P358 p.185
Front plate
Thickness [mm] 16.00 12.70 -- Cl. F-2.2,
SCI P358 p.185
tfp = Max(tfuc, 10.0 [mm])
= Max(12.7[mm], 10.0 [mm])
= 12.7[mm] Cl. F-2.2,
SCI P358 p.185
Length [mm] 590.00 500.00 -- SCI P358 p.185
Lp = 2.0*buc
= 2.0*250[mm]
= 500[mm] SCI P358 p.185
Width [mm] 250.00 250.00 -- Cl. F-2.2
b = buc
= 250[mm] Cl. F-2.2
Longitudinal center-to-center spacing (pitch) [mm] 90.00 50.00 200.00
Cl. 10.2.3.2
pmin = 2.5*d
= 2.5*20[mm]
= 50[mm]
pmax = min(16*t, 200 [mm])
= min(16*16[mm], 200 [mm])
= 200[mm] Cl. 10.2.3.2
Transverse center-to-center spacing (gage) [mm] 130.00 50.00 164.00 Cl.
10.2.3.3
pmin = 2.5*d
= 2.5*20[mm]
= 50[mm]
pmax = min(100 [mm] + 4*t, 300 [mm])
= min(100 [mm] + 4*16[mm], 300 [mm])
= 164[mm] Cl. 10.2.3.3
Longitudinal edge distance [mm] 55.00 33.00 192.00 Cl. 10.2.4.2,
Cl. 10.2.4.3
ShearedEdges ® False
emin = 1.5*dh
= 1.5*22[mm]
= 33[mm] Cl. 10.2.4.2
CorrosionExposed ® False
emax = 12.0*t*((250.0 [MPa])/fy)0.5
= 12.0*16[mm]*((250.0 [MPa])/250[N/mm2])0.5
= 192[mm] Cl. 10.2.4.3
Transverse edge distance [mm] 60.00 33.00 192.00 Cl. 10.2.4.2,
Cl. 10.2.4.3
ShearedEdges ® False
emin = 1.5*dh
= 1.5*22[mm]
= 33[mm] Cl. 10.2.4.2
CorrosionExposed ® False
emax = 12.0*t*((250.0 [MPa])/fy)0.5
= 12.0*16[mm]*((250.0 [MPa])/250[N/mm2])0.5
= 192[mm] Cl. 10.2.4.3
Column
Top flange longitudinal edge distance [mm] 60.00 33.00 152.40 Cl.
10.2.4.2,
Cl. 10.2.4.3
ShearedEdges ® False
emin = 1.5*dh
= 1.5*22[mm]
= 33[mm] Cl. 10.2.4.2
CorrosionExposed ® False
emax = 12.0*t*((250.0 [MPa])/fy)0.5
= 12.0*12.7[mm]*((250.0 [MPa])/250[N/mm2])0.5
= 152.4[mm] Cl. 10.2.4.3
Bottom flange longitudinal edge distance [mm] 60.00 33.00 152.40 Cl.
10.2.4.2,
Cl. 10.2.4.3
ShearedEdges ® False
emin = 1.5*dh
= 1.5*22[mm]
= 33[mm] Cl. 10.2.4.2
CorrosionExposed ® False
emax = 12.0*t*((250.0 [MPa])/fy)0.5
= 12.0*12.7[mm]*((250.0 [MPa])/250[N/mm2])0.5
= 152.4[mm] Cl. 10.2.4.3
Top flange longitudinal center-to-center spacing (pitch) [mm] 90.00 50.00 200.00
Cl. 10.2.3.2
pmin = 2.5*d
= 2.5*20[mm]
= 50[mm]
pmax = min(16*t, 200 [mm])
= min(16*12.7[mm], 200 [mm])
= 200[mm] Cl. 10.2.3.2
Bottom flange longitudinal center-to-center spacing (... [mm] 90.00 50.00 200.00
Cl. 10.2.3.2
pmin = 2.5*d
= 2.5*20[mm]
= 50[mm]
pmax = min(16*t, 200 [mm])
= min(16*12.7[mm], 200 [mm])
= 200[mm] Cl. 10.2.3.2
Top flange transverse center-to-center spacing (gage) [mm] 130.00 50.00 150.80
Cl. 10.2.3.3
pmin = 2.5*d
= 2.5*20[mm]
= 50[mm]
pmax = min(100 [mm] + 4*t, 300 [mm])
= min(100 [mm] + 4*12.7[mm], 300 [mm])
= 150.8[mm] Cl. 10.2.3.3
Bottom flange transverse center-to-center spacing (g... [mm] 130.00 50.00 150.80
Cl. 10.2.3.3
pmin = 2.5*d
= 2.5*20[mm]
= 50[mm]
pmax = min(100 [mm] + 4*t, 300 [mm])
= min(100 [mm] + 4*12.7[mm], 300 [mm])
= 150.8[mm] Cl. 10.2.3.3
Top flange transverse edge distance [mm] 60.00 33.00 152.40 Cl.
10.2.4.2,
Cl. 10.2.4.3
ShearedEdges ® False
emin = 1.5*dh
= 1.5*22[mm]
= 33[mm] Cl. 10.2.4.2
CorrosionExposed ® False
emax = 12.0*t*((250.0 [MPa])/fy)0.5
= 12.0*12.7[mm]*((250.0 [MPa])/250[N/mm2])0.5
= 152.4[mm] Cl. 10.2.4.3
Bottom flange transverse edge distance [mm] 60.00 33.00 152.40 Cl.
10.2.4.2,
Cl. 10.2.4.3
ShearedEdges ® False
emin = 1.5*dh
= 1.5*22[mm]
= 33[mm] Cl. 10.2.4.2
CorrosionExposed ® False
emax = 12.0*t*((250.0 [MPa])/fy)0.5
= 12.0*12.7[mm]*((250.0 [MPa])/250[N/mm2])0.5
= 152.4[mm] Cl. 10.2.4.3
Bottom column
Flange cover plate
Bolt diameter [mm] 20.00 0.00 -- SCI P358 p.185
d = 0.75*tpk
= 0.75*0[mm]
= 0[mm] SCI P358 p.185
Front plate
Thickness [mm] 16.00 12.70 -- Cl. F-2.2,
SCI P358 p.185
tfp = Max(tfuc, 10.0 [mm])
= Max(12.7[mm], 10.0 [mm])
= 12.7[mm] Cl. F-2.2,
SCI P358 p.185
Length [mm] 590.00 500.00 -- SCI P358 p.185
Lp = 2.0*buc
= 2.0*250[mm]
= 500[mm] SCI P358 p.185
Width [mm] 250.00 250.00 -- Cl. F-2.2
b = buc
= 250[mm] Cl. F-2.2
Longitudinal center-to-center spacing (pitch) [mm] 90.00 50.00 200.00
Cl. 10.2.3.2
pmin = 2.5*d
= 2.5*20[mm]
= 50[mm]
pmax = min(16*t, 200 [mm])
= min(16*16[mm], 200 [mm])
= 200[mm] Cl. 10.2.3.2
Transverse center-to-center spacing (gage) [mm] 130.00 50.00 164.00 Cl.
10.2.3.3
pmin = 2.5*d
= 2.5*20[mm]
= 50[mm]
pmax = min(100 [mm] + 4*t, 300 [mm])
= min(100 [mm] + 4*16[mm], 300 [mm])
= 164[mm] Cl. 10.2.3.3
Longitudinal edge distance [mm] 55.00 33.00 192.00 Cl. 10.2.4.2,
Cl. 10.2.4.3
ShearedEdges ® False
emin = 1.5*dh
= 1.5*22[mm]
= 33[mm] Cl. 10.2.4.2
CorrosionExposed ® False
emax = 12.0*t*((250.0 [MPa])/fy)0.5
= 12.0*16[mm]*((250.0 [MPa])/250[N/mm2])0.5
= 192[mm] Cl. 10.2.4.3
Transverse edge distance [mm] 60.00 33.00 192.00 Cl. 10.2.4.2,
Cl. 10.2.4.3
ShearedEdges ® False
emin = 1.5*dh
= 1.5*22[mm]
= 33[mm] Cl. 10.2.4.2
CorrosionExposed ® False
emax = 12.0*t*((250.0 [MPa])/fy)0.5
= 12.0*16[mm]*((250.0 [MPa])/250[N/mm2])0.5
= 192[mm] Cl. 10.2.4.3
Column
Top flange longitudinal edge distance [mm] 60.00 33.00 152.40 Cl.
10.2.4.2,
Cl. 10.2.4.3
ShearedEdges ® False
emin = 1.5*dh
= 1.5*22[mm]
= 33[mm] Cl. 10.2.4.2
CorrosionExposed ® False
emax = 12.0*t*((250.0 [MPa])/fy)0.5
= 12.0*12.7[mm]*((250.0 [MPa])/250[N/mm2])0.5
= 152.4[mm] Cl. 10.2.4.3
Bottom flange longitudinal edge distance [mm] 60.00 33.00 152.40 Cl.
10.2.4.2,
Cl. 10.2.4.3
ShearedEdges ® False
emin = 1.5*dh
= 1.5*22[mm]
= 33[mm] Cl. 10.2.4.2
CorrosionExposed ® False
emax = 12.0*t*((250.0 [MPa])/fy)0.5
= 12.0*12.7[mm]*((250.0 [MPa])/250[N/mm2])0.5
= 152.4[mm] Cl. 10.2.4.3
Top flange longitudinal center-to-center spacing (pitch) [mm] 90.00 50.00 200.00
Cl. 10.2.3.2
pmin = 2.5*d
= 2.5*20[mm]
= 50[mm]
pmax = min(16*t, 200 [mm])
= min(16*12.7[mm], 200 [mm])
= 200[mm] Cl. 10.2.3.2
Bottom flange longitudinal center-to-center spacing (... [mm] 90.00 50.00 200.00
Cl. 10.2.3.2
pmin = 2.5*d
= 2.5*20[mm]
= 50[mm]
pmax = min(16*t, 200 [mm])
= min(16*12.7[mm], 200 [mm])
= 200[mm] Cl. 10.2.3.2
Top flange transverse center-to-center spacing (gage) [mm] 130.00 50.00 150.80
Cl. 10.2.3.3
pmin = 2.5*d
= 2.5*20[mm]
= 50[mm]
pmax = min(100 [mm] + 4*t, 300 [mm])
= min(100 [mm] + 4*12.7[mm], 300 [mm])
= 150.8[mm] Cl. 10.2.3.3
Bottom flange transverse center-to-center spacing (g... [mm] 130.00 50.00 150.80
Cl. 10.2.3.3
pmin = 2.5*d
= 2.5*20[mm]
= 50[mm]
pmax = min(100 [mm] + 4*t, 300 [mm])
= min(100 [mm] + 4*12.7[mm], 300 [mm])
= 150.8[mm] Cl. 10.2.3.3
Top flange transverse edge distance [mm] 60.00 33.00 152.40 Cl.
10.2.4.2,
Cl. 10.2.4.3
ShearedEdges ® False
emin = 1.5*dh
= 1.5*22[mm]
= 33[mm] Cl. 10.2.4.2
CorrosionExposed ® False
emax = 12.0*t*((250.0 [MPa])/fy)0.5
= 12.0*12.7[mm]*((250.0 [MPa])/250[N/mm2])0.5
= 152.4[mm] Cl. 10.2.4.3
Bottom flange transverse edge distance [mm] 60.00 33.00 152.40 Cl.
10.2.4.2,
Cl. 10.2.4.3
ShearedEdges ® False
emin = 1.5*dh
= 1.5*22[mm]
= 33[mm] Cl. 10.2.4.2
CorrosionExposed ® False
emax = 12.0*t*((250.0 [MPa])/fy)0.5
= 12.0*12.7[mm]*((250.0 [MPa])/250[N/mm2])0.5
= 152.4[mm] Cl. 10.2.4.3
----------------------------------------------------------------------
DESIGN CHECK
Verification Unit Capacity Demand Ctrl EQ Ratio
References
----------------------------------------------------------------------
Top column
Flange cover plate
Bolt group shear [KN] 543.27 261.15 DL 0.48 Cl. 10.3.3
Asb = π/4*d2
= π/4*20[mm]2
= 314.159[mm2]
Anb = 0.78*π/4*d2
= 0.78*π/4*20[mm]2
= 245.044[mm2]
Vnsb = fu/(3)0.5*(nn*Anb + ns*Asb)
= 800[N/mm2]/(3)0.5*(1*245.044[mm2] + 0*314.159[mm2])
= 113.181[kN] Cl. 10.3.3
Vdsb = Vnsb/gmb
= 113.181[kN]/1.25
= 90.545[kN] Cl. 10.3.3
lj>15.0*d ® 180[mm]>15.0*20[mm] ® False
blj = 1 Cl. 10.3.3.1
lg<5.0*d ® 28.7[mm]<5.0*20[mm] ® True
blg = 1 Cl. 10.3.3.2
tpk<6.0 [mm] ® 0[mm]<6.0 [mm] ® True
bpk = 1 Cl. 10.3.3.3
VdsbSPL = blj*blg*bpk*n*Vdsb
= 1*1*1*6*90.545[kN]
= 543.269[kN] Cl. 10.3.3
Nf = Max(Nfc, Nft)
= Max(0[kN], 261.147[kN])
= 261.147[kN] SCI P358 p.187
Nf = Max(Nfc, Nft)
= Max(158.853[kN], 0[kN])
= 158.853[kN] SCI P358 p.187
Nf = Max(Nft, Nfb)
= Max(261.147[kN], 158.853[kN])
= 261.147[kN] SCI P358 p.187
Front plate
Bolt bearing [KN] 1312.00 261.15 DL 0.20 Cl. 10.3.4
kb = min(e1/(3*d0), p/(3*d0) - 0.25, fub/fu, 1.0)
= min(55[mm]/(3*22[mm]), 90[mm]/(3*22[mm]) - 0.25, 800[N/mm2]/410[N/mm2], 1.0)
= 0.833 Cl. 10.3.4
Vnpb = 2.5*kb*d*t*fu
= 2.5*0.833*20[mm]*16[mm]*410[N/mm2]
= 273.333[kN] Cl. 10.3.4
Vdpb = Vnpb/gmb
= 273.333[kN]/1.25
= 218.667[kN] Cl. 10.3.4
Vdpg = n*Vdpb
= 6*218.667[kN]
= 1312[kN]
Nf = Max(Nfc, Nft)
= Max(0[kN], 261.147[kN])
= 261.147[kN] SCI P358 p.187
Column
Top flange bolt bearing [KN] 1041.40 261.15 DL 0.25 Cl. 10.3.4
kb = min(e1/(3*d0), p/(3*d0) - 0.25, fub/fu, 1.0)
= min(55[mm]/(3*22[mm]), 90[mm]/(3*22[mm]) - 0.25, 800[N/mm2]/410[N/mm2], 1.0)
= 0.833 Cl. 10.3.4
Vnpb = 2.5*kb*d*t*fu
= 2.5*0.833*20[mm]*12.7[mm]*410[N/mm2]
= 216.958[kN] Cl. 10.3.4
Vdpb = Vnpb/gmb
= 216.958[kN]/1.25
= 173.567[kN] Cl. 10.3.4
Vdpg = n*Vdpb
= 6*173.567[kN]
= 1041.4[kN]
Nf = Max(Nfc, Nft)
= Max(0[kN], 261.147[kN])
= 261.147[kN] SCI P358 p.187
Bottom flange bolt bearing [KN] 1041.40 158.85 DL 0.15 Cl. 10.3.4
kb = min(e1/(3*d0), p/(3*d0) - 0.25, fub/fu, 1.0)
= min(55[mm]/(3*22[mm]), 90[mm]/(3*22[mm]) - 0.25, 800[N/mm2]/410[N/mm2], 1.0)
= 0.833 Cl. 10.3.4
Vnpb = 2.5*kb*d*t*fu
= 2.5*0.833*20[mm]*12.7[mm]*410[N/mm2]
= 216.958[kN] Cl. 10.3.4
Vdpb = Vnpb/gmb
= 216.958[kN]/1.25
= 173.567[kN] Cl. 10.3.4
Vdpg = n*Vdpb
= 6*173.567[kN]
= 1041.4[kN]
Nf = Max(Nfc, Nft)
= Max(158.853[kN], 0[kN])
= 158.853[kN] SCI P358 p.187
Block tearing due to tension (bottom flange) [KN] 1125.59 158.85 DL 0.14
Cl. 6.4.1
EffectiveInteriorPlates ® False
rof = 1 SCI P358 p.186
Atg = 2*e2*t
= 2*60[mm]*12.7[mm]
= 1524[mm2]
Atn = 2*t*(e2 - d0/2.0)
= 2*12.7[mm]*(60[mm] - 22[mm]/2.0)
= 1244.6[mm2]
Avg = 2*t*(e1 + p1*(n1 - 1))
= 2*12.7[mm]*(55[mm] + 90[mm]*(3 - 1))
= 5969[mm2]
Avn = 2*t*(e1 + (p1 - d0)*(n1 - 1) - 0.5*d0)
= 2*12.7[mm]*(55[mm] + (90[mm] - 22[mm])*(3 - 1) - 0.5*22[mm])
= 4572[mm2]
Tdb = min(Avg*fy/(30.5*gm0) + 0.9*Atn*fu/gm1, 0.9*Avn*fu/(30.5*gm1) + Atg*fy/gm0)
= min(5969[mm2]*250[N/mm2]/(30.5*1.1) + 0.9*1244.6[mm2]*410[N/mm2]/1.25,
0.9*4572[mm2]*410[N/mm2]/(30.5*
1.25) + 1524[mm2]*250[N/mm2]/1.1)
= 1125.59[kN] Cl. 6.4.1
EffectiveInteriorPlates ® False
rof = 1 SCI P358 p.186
Flange plate minimum capacities major axis
Bending [KN*m] 378.18 106.77 DL 0.28 Cl. 7.1.2,
Cl. 6.2,
Cl. 6.3,
Cl. 8.2.1.2
Lcr = 0.6*Max(p1fp, p1j)
= 0.6*Max(90[mm], 120[mm])
= 72[mm] SCI P398 p.57
r = tp/(12.0)0.5
= 16[mm]/(12.0)0.5
= 4.619[mm]
abuck = 0.49
l = (fy*(Lcr/r)2/(π2*E))0.5
= (250[N/mm2]*(72[mm]/4.619[mm])2/(π2*2.05E+05[N/mm2]))0.5
= 0.173 Cl. 7.1.2.1
Fb = 0.5*(1 + abuck*(l - 0.2) + l2)
= 0.5*(1 + 0.49*(0.173 - 0.2) + 0.1732)
= 0.508 Cl. 7.1.2.1
c = Min(1.0/(Fb + (Fb2 - l2)0.5), 1.0)
= Min(1.0/(0.508 + (0.5082 - 0.1732)0.5), 1.0)
= 1 Cl. 7.1.2.1
fcd = fy/gm0*c
= 250[N/mm2]/1.1*1
= 227.273[N/mm2] Cl. 7.1.2.1
Pd = Ae*fcd
= 4000[mm2]*227.273[N/mm2]
= 909.091[kN] Cl. 7.1.2
Lcr = 0.6*Max(p1fp, p1j)
= 0.6*Max(90[mm], 120[mm])
= 72[mm] SCI P398 p.57
r = tp/(12.0)0.5
= 16[mm]/(12.0)0.5
= 4.619[mm]
abuck = 0.49
l = (fy*(Lcr/r)2/(π2*E))0.5
= (250[N/mm2]*(72[mm]/4.619[mm])2/(π2*2.05E+05[N/mm2]))0.5
= 0.173 Cl. 7.1.2.1
Fb = 0.5*(1 + abuck*(l - 0.2) + l2)
= 0.5*(1 + 0.49*(0.173 - 0.2) + 0.1732)
= 0.508 Cl. 7.1.2.1
c = Min(1.0/(Fb + (Fb2 - l2)0.5), 1.0)
= Min(1.0/(0.508 + (0.5082 - 0.1732)0.5), 1.0)
= 1 Cl. 7.1.2.1
fcd = fy/gm0*c
= 250[N/mm2]/1.1*1
= 227.273[N/mm2] Cl. 7.1.2.1
Pd = Ae*fcd
= 4000[mm2]*227.273[N/mm2]
= 909.091[kN] Cl. 7.1.2
Mfdc = h*Nfdc
= 9.09E+05[mm]*0.416[kN]
= 378.182[kN*m] SCI P358 p.194
Tdg = Ag*fy/gm0
= 4000[mm2]*250[N/mm2]/1.1
= 909.091[kN] Cl. 6.2
Tdg = Ag*fy/gm0
= 4000[mm2]*250[N/mm2]/1.1
= 909.091[kN] Cl. 6.2
Afpnet = tp*(b - n2*d0)
= 16[mm]*(250[mm] - 2*22[mm])
= 3296[mm2] SCI P358 p.188
Tdn = 0.9*An*fu/gm1
= 0.9*3296[mm2]*410[N/mm2]/1.25
= 972.979[kN] Cl. 6.3
Afpnet = tp*(b - n2*d0)
= 16[mm]*(250[mm] - 2*22[mm])
= 3296[mm2] SCI P358 p.188
Tdn = 0.9*An*fu/gm1
= 0.9*3296[mm2]*410[N/mm2]/1.25
= 972.979[kN] Cl. 6.3
Mfdt = h*Nfdt
= 9.09E+05[mm]*0.416[kN]
= 378.182[kN*m] SCI P358 p.194
Md = Zp*fy/gm0
= 1.57E+06[mm3]*250[N/mm2]/1.1
= 355.909[kN*m] Cl. 8.2.1.2
Mreqy = 0.3*Mcyd
= 0.3*355.909[kN*m]
= 106.773[kN*m] Cl. 10.7
Bolt resistance to bending [KN*m] 226.00 106.77 DL 0.47 Cl. 10.3.4,
Cl. 10.3.3,
Cl. 8.2.1.2
kb = min(e1/(3*d0), p/(3*d0) - 0.25, fub/fu, 1.0)
= min(55[mm]/(3*22[mm]), 90[mm]/(3*22[mm]) - 0.25, 800[N/mm2]/410[N/mm2], 1.0)
= 0.833 Cl. 10.3.4
Vnpb = 2.5*kb*d*t*fu
= 2.5*0.833*20[mm]*16[mm]*410[N/mm2]
= 273.333[kN] Cl. 10.3.4
Vdpb = Vnpb/gmb
= 273.333[kN]/1.25
= 218.667[kN] Cl. 10.3.4
Vdpg = n*Vdpb
= 6*218.667[kN]
= 1312[kN]
kb = min(e1/(3*d0), p/(3*d0) - 0.25, fub/fu, 1.0)
= min(55[mm]/(3*22[mm]), 90[mm]/(3*22[mm]) - 0.25, 800[N/mm2]/410[N/mm2], 1.0)
= 0.833 Cl. 10.3.4
Vnpb = 2.5*kb*d*t*fu
= 2.5*0.833*20[mm]*16[mm]*410[N/mm2]
= 273.333[kN] Cl. 10.3.4
Vdpb = Vnpb/gmb
= 273.333[kN]/1.25
= 218.667[kN] Cl. 10.3.4
Vdpg = n*Vdpb
= 6*218.667[kN]
= 1312[kN]
Asb = π/4*d2
= π/4*20[mm]2
= 314.159[mm2]
Anb = 0.78*π/4*d2
= 0.78*π/4*20[mm]2
= 245.044[mm2]
Vnsb = fu/(3)0.5*(nn*Anb + ns*Asb)
= 800[N/mm2]/(3)0.5*(1*245.044[mm2] + 0*314.159[mm2])
= 113.181[kN] Cl. 10.3.3
Vdsb = Vnsb/gmb
= 113.181[kN]/1.25
= 90.545[kN] Cl. 10.3.3
lj>15.0*d ® 180[mm]>15.0*20[mm] ® False
blj = 1 Cl. 10.3.3.1
lg<5.0*d ® 28.7[mm]<5.0*20[mm] ® True
blg = 1 Cl. 10.3.3.2
tpk<6.0 [mm] ® 0[mm]<6.0 [mm] ® True
bpk = 1 Cl. 10.3.3.3
VdsbSPL = blj*blg*bpk*n*Vdsb
= 1*1*1*6*90.545[kN]
= 543.269[kN] Cl. 10.3.3
kb = min(e1/(3*d0), p/(3*d0) - 0.25, fub/fu, 1.0)
= min(55[mm]/(3*22[mm]), 90[mm]/(3*22[mm]) - 0.25, 800[N/mm2]/410[N/mm2], 1.0)
= 0.833 Cl. 10.3.4
Vnpb = 2.5*kb*d*t*fu
= 2.5*0.833*20[mm]*16[mm]*410[N/mm2]
= 273.333[kN] Cl. 10.3.4
Vdpb = Vnpb/gmb
= 273.333[kN]/1.25
= 218.667[kN] Cl. 10.3.4
Vdpg = n*Vdpb
= 6*218.667[kN]
= 1312[kN]
kb = min(e1/(3*d0), p/(3*d0) - 0.25, fub/fu, 1.0)
= min(55[mm]/(3*22[mm]), 90[mm]/(3*22[mm]) - 0.25, 800[N/mm2]/410[N/mm2], 1.0)
= 0.833 Cl. 10.3.4
Vnpb = 2.5*kb*d*t*fu
= 2.5*0.833*20[mm]*16[mm]*410[N/mm2]
= 273.333[kN] Cl. 10.3.4
Vdpb = Vnpb/gmb
= 273.333[kN]/1.25
= 218.667[kN] Cl. 10.3.4
Vdpg = n*Vdpb
= 6*218.667[kN]
= 1312[kN]
Asb = π/4*d2
= π/4*20[mm]2
= 314.159[mm2]
Anb = 0.78*π/4*d2
= 0.78*π/4*20[mm]2
= 245.044[mm2]
Vnsb = fu/(3)0.5*(nn*Anb + ns*Asb)
= 800[N/mm2]/(3)0.5*(1*245.044[mm2] + 0*314.159[mm2])
= 113.181[kN] Cl. 10.3.3
Vdsb = Vnsb/gmb
= 113.181[kN]/1.25
= 90.545[kN] Cl. 10.3.3
lj>15.0*d ® 180[mm]>15.0*20[mm] ® False
blj = 1 Cl. 10.3.3.1
lg<5.0*d ® 28.7[mm]<5.0*20[mm] ® True
blg = 1 Cl. 10.3.3.2
tpk<6.0 [mm] ® 0[mm]<6.0 [mm] ® True
bpk = 1 Cl. 10.3.3.3
VdsbSPL = blj*blg*bpk*n*Vdsb
= 1*1*1*6*90.545[kN]
= 543.269[kN] Cl. 10.3.3
MfdB = h*Fdfp
= 5.43E+05[mm]*0.416[kN]
= 226[kN*m] SCI P358 p.194
Md = Zp*fy/gm0
= 1.57E+06[mm3]*250[N/mm2]/1.1
= 355.909[kN*m] Cl. 8.2.1.2
Mreqy = 0.3*Mcyd
= 0.3*355.909[kN*m]
= 106.773[kN*m] Cl. 10.7
Flange plate minimum capacities minor axis
Bending [KN*m] 75.76 14.86 DL 0.20 Cl. 8.2.1.2
Ze = b*h2/6
= 16[mm]*250[mm]2/6
= 1.67E+05[mm3]
Ze = b*h2/6
= 16[mm]*250[mm]2/6
= 1.67E+05[mm3]
Md = Ze*fy/gm0
= 1.67E+05[mm3]*250[N/mm2]/1.1
= 37.879[kN*m] Cl. 8.2.1.2
Md = Ze*fy/gm0
= 1.67E+05[mm3]*250[N/mm2]/1.1
= 37.879[kN*m] Cl. 8.2.1.2
Md = Zp*fy/gm0
= 2.18E+05[mm3]*250[N/mm2]/1.1
= 49.545[kN*m] Cl. 8.2.1.2
Mreqz = 0.3*Mczd
= 0.3*49.545[kN*m]
= 14.864[kN*m] Cl. 10.7
Bolt shear due to bending [KN] 90.54 11.91 DL 0.13 Cl. 10.3.3,
Cl. 10.3.4,
Cl. 8.2.1.2
Asb = π/4*d2
= π/4*20[mm]2
= 314.159[mm2]
Anb = 0.78*π/4*d2
= 0.78*π/4*20[mm]2
= 245.044[mm2]
Vnsb = fu/(3)0.5*(nn*Anb + ns*Asb)
= 800[N/mm2]/(3)0.5*(1*245.044[mm2] + 0*314.159[mm2])
= 113.181[kN] Cl. 10.3.3
Vdsb = Vnsb/gmb
= 113.181[kN]/1.25
= 90.545[kN] Cl. 10.3.3
lj>15.0*d ® 180[mm]>15.0*20[mm] ® False
blj = 1 Cl. 10.3.3.1
lg<5.0*d ® 28.7[mm]<5.0*20[mm] ® True
blg = 1 Cl. 10.3.3.2
tpk<6.0 [mm] ® 0[mm]<6.0 [mm] ® True
bpk = 1 Cl. 10.3.3.3
VdsbSPL = blj*blg*bpk*n*Vdsb
= 1*1*1*6*90.545[kN]
= 543.269[kN] Cl. 10.3.3
Asb = π/4*d2
= π/4*20[mm]2
= 314.159[mm2]
Anb = 0.78*π/4*d2
= 0.78*π/4*20[mm]2
= 245.044[mm2]
Vnsb = fu/(3)0.5*(nn*Anb + ns*Asb)
= 800[N/mm2]/(3)0.5*(1*245.044[mm2] + 0*314.159[mm2])
= 113.181[kN] Cl. 10.3.3
Vdsb = Vnsb/gmb
= 113.181[kN]/1.25
= 90.545[kN] Cl. 10.3.3
lj>15.0*d ® 180[mm]>15.0*20[mm] ® False
blj = 1 Cl. 10.3.3.1
lg<5.0*d ® 28.7[mm]<5.0*20[mm] ® True
blg = 1 Cl. 10.3.3.2
tpk<6.0 [mm] ® 0[mm]<6.0 [mm] ® True
bpk = 1 Cl. 10.3.3.3
VdsbSPL = blj*blg*bpk*n*Vdsb
= 1*1*1*6*90.545[kN]
= 543.269[kN] Cl. 10.3.3
kb = min(e1/(3*d0), p/(3*d0) - 0.25, fub/fu, 1.0)
= min(55[mm]/(3*22[mm]), 90[mm]/(3*22[mm]) - 0.25, 800[N/mm2]/410[N/mm2], 1.0)
= 0.833 Cl. 10.3.4
Vnpb = 2.5*kb*d*t*fu
= 2.5*0.833*20[mm]*16[mm]*410[N/mm2]
= 273.333[kN] Cl. 10.3.4
Vdpb = Vnpb/gmb
= 273.333[kN]/1.25
= 218.667[kN] Cl. 10.3.4
Vdpg = n*Vdpb
= 6*218.667[kN]
= 1312[kN]
kb = min(e1/(3*d0), p/(3*d0) - 0.25, fub/fu, 1.0)
= min(55[mm]/(3*22[mm]), 90[mm]/(3*22[mm]) - 0.25, 800[N/mm2]/410[N/mm2], 1.0)
= 0.833 Cl. 10.3.4
Vnpb = 2.5*kb*d*t*fu
= 2.5*0.833*20[mm]*12.7[mm]*410[N/mm2]
= 216.958[kN] Cl. 10.3.4
Vdpb = Vnpb/gmb
= 216.958[kN]/1.25
= 173.567[kN] Cl. 10.3.4
Vdpg = n*Vdpb
= 6*173.567[kN]
= 1041.4[kN]
kb = min(e1/(3*d0), p/(3*d0) - 0.25, fub/fu, 1.0)
= min(55[mm]/(3*22[mm]), 90[mm]/(3*22[mm]) - 0.25, 800[N/mm2]/410[N/mm2], 1.0)
= 0.833 Cl. 10.3.4
Vnpb = 2.5*kb*d*t*fu
= 2.5*0.833*20[mm]*16[mm]*410[N/mm2]
= 273.333[kN] Cl. 10.3.4
Vdpb = Vnpb/gmb
= 273.333[kN]/1.25
= 218.667[kN] Cl. 10.3.4
Vdpg = n*Vdpb
= 6*218.667[kN]
= 1312[kN]
kb = min(e1/(3*d0), p/(3*d0) - 0.25, fub/fu, 1.0)
= min(55[mm]/(3*22[mm]), 90[mm]/(3*22[mm]) - 0.25, 800[N/mm2]/410[N/mm2], 1.0)
= 0.833 Cl. 10.3.4
Vnpb = 2.5*kb*d*t*fu
= 2.5*0.833*20[mm]*12.7[mm]*410[N/mm2]
= 216.958[kN] Cl. 10.3.4
Vdpb = Vnpb/gmb
= 216.958[kN]/1.25
= 173.567[kN] Cl. 10.3.4
Vdpg = n*Vdpb
= 6*173.567[kN]
= 1041.4[kN]
kb = min(e1/(3*d0), p/(3*d0) - 0.25, fub/fu, 1.0)
= min(55[mm]/(3*22[mm]), 90[mm]/(3*22[mm]) - 0.25, 800[N/mm2]/410[N/mm2], 1.0)
= 0.833 Cl. 10.3.4
Vnpb = 2.5*kb*d*t*fu
= 2.5*0.833*20[mm]*16[mm]*410[N/mm2]
= 273.333[kN] Cl. 10.3.4
Vdpb = Vnpb/gmb
= 273.333[kN]/1.25
= 218.667[kN] Cl. 10.3.4
Vdpg = n*Vdpb
= 6*218.667[kN]
= 1312[kN]
kb = min(e1/(3*d0), p/(3*d0) - 0.25, fub/fu, 1.0)
= min(55[mm]/(3*22[mm]), 90[mm]/(3*22[mm]) - 0.25, 800[N/mm2]/410[N/mm2], 1.0)
= 0.833 Cl. 10.3.4
Vnpb = 2.5*kb*d*t*fu
= 2.5*0.833*20[mm]*12.7[mm]*410[N/mm2]
= 216.958[kN] Cl. 10.3.4
Vdpb = Vnpb/gmb
= 216.958[kN]/1.25
= 173.567[kN] Cl. 10.3.4
Vdpg = n*Vdpb
= 6*173.567[kN]
= 1041.4[kN]
kb = min(e1/(3*d0), p/(3*d0) - 0.25, fub/fu, 1.0)
= min(55[mm]/(3*22[mm]), 90[mm]/(3*22[mm]) - 0.25, 800[N/mm2]/410[N/mm2], 1.0)
= 0.833 Cl. 10.3.4
Vnpb = 2.5*kb*d*t*fu
= 2.5*0.833*20[mm]*16[mm]*410[N/mm2]
= 273.333[kN] Cl. 10.3.4
Vdpb = Vnpb/gmb
= 273.333[kN]/1.25
= 218.667[kN] Cl. 10.3.4
Vdpg = n*Vdpb
= 6*218.667[kN]
= 1312[kN]
kb = min(e1/(3*d0), p/(3*d0) - 0.25, fub/fu, 1.0)
= min(55[mm]/(3*22[mm]), 90[mm]/(3*22[mm]) - 0.25, 800[N/mm2]/410[N/mm2], 1.0)
= 0.833 Cl. 10.3.4
Vnpb = 2.5*kb*d*t*fu
= 2.5*0.833*20[mm]*12.7[mm]*410[N/mm2]
= 216.958[kN] Cl. 10.3.4
Vdpb = Vnpb/gmb
= 216.958[kN]/1.25
= 173.567[kN] Cl. 10.3.4
Vdpg = n*Vdpb
= 6*173.567[kN]
= 1041.4[kN]
Md = Zp*fy/gm0
= 2.18E+05[mm3]*250[N/mm2]/1.1
= 49.545[kN*m] Cl. 8.2.1.2
Mreqbz = 0.125*Mczd
= 0.125*49.545[kN*m]
= 6.193[kN*m] [EC3-8] Cl.
6.2.7.1
FzV = V/n
= 0[kN]/12
= 0[kN] SCI P398 p.54
FxM = (Mw + Mecc)*zmax/Ibg
= (0[kN*m] + 6.193[kN*m])*90[mm]/57750[mm2]
= 9.652[kN] SCI P398 p.54
FzM = (Mw + Mecc)*xmax/Ibg
= (0[kN*m] + 6.193[kN*m])*65[mm]/57750[mm2]
= 6.971[kN] SCI P398 p.54
Fv = ((FxN + FxM)2 + (FzV + FzM)2)0.5
= ((0[kN] + 9.652[kN])2 + (0[kN] + 6.971[kN])2)0.5
= 11.906[kN] SCI P398 p.54
Plate shear [KN] 944.75 56.08 DL 0.06 Cl. 7.1.2
Vdfp = 0.9*(tfp*bfp*fyp)/(3.00.5*gm0)
= 0.9*(16[mm]*250[mm]*250[N/mm2])/(3.00.5*1.1)
= 472.377[kN] SCI P358 p.195
Vdfp = 0.9*(tfp*bfp*fyp)/(3.00.5*gm0)
= 0.9*(16[mm]*250[mm]*250[N/mm2])/(3.00.5*1.1)
= 472.377[kN] SCI P358 p.195
abuck = 0.49
l = (fy*(Lcr/r)2/(π2*E))0.5
= (250[N/mm2]*(304.8[mm]/52.573[mm])2/(π2*2.05E+05[N/mm2]))0.5
= 0.0644 Cl. 7.1.2.1
Fb = 0.5*(1 + abuck*(l - 0.2) + l2)
= 0.5*(1 + 0.49*(0.0644 - 0.2) + 0.06442)
= 0.469 Cl. 7.1.2.1
c = Min(1.0/(Fb + (Fb2 - l2)0.5), 1.0)
= Min(1.0/(0.469 + (0.4692 - 0.06442)0.5), 1.0)
= 1 Cl. 7.1.2.1
fcd = fy/gm0*c
= 250[N/mm2]/1.1*1
= 227.273[N/mm2] Cl. 7.1.2.1
Pd = Ae*fcd
= 9870[mm2]*227.273[N/mm2]
= 2243.18[kN] Cl. 7.1.2
Vreqy = 0.025*Nc
= 0.025*2243.18[kN]
= 56.08[kN] pt. 1-8 Cl.
6.2.7.1
Bolt shear [KN] 90.54 11.92 DL 0.13 Cl. 10.3.3,
Cl. 10.3.4,
Cl. 7.1.2
Asb = π/4*d2
= π/4*20[mm]2
= 314.159[mm2]
Anb = 0.78*π/4*d2
= 0.78*π/4*20[mm]2
= 245.044[mm2]
Vnsb = fu/(3)0.5*(nn*Anb + ns*Asb)
= 800[N/mm2]/(3)0.5*(1*245.044[mm2] + 0*314.159[mm2])
= 113.181[kN] Cl. 10.3.3
Vdsb = Vnsb/gmb
= 113.181[kN]/1.25
= 90.545[kN] Cl. 10.3.3
lj>15.0*d ® 180[mm]>15.0*20[mm] ® False
blj = 1 Cl. 10.3.3.1
lg<5.0*d ® 28.7[mm]<5.0*20[mm] ® True
blg = 1 Cl. 10.3.3.2
tpk<6.0 [mm] ® 0[mm]<6.0 [mm] ® True
bpk = 1 Cl. 10.3.3.3
VdsbSPL = blj*blg*bpk*n*Vdsb
= 1*1*1*6*90.545[kN]
= 543.269[kN] Cl. 10.3.3
Asb = π/4*d2
= π/4*20[mm]2
= 314.159[mm2]
Anb = 0.78*π/4*d2
= 0.78*π/4*20[mm]2
= 245.044[mm2]
Vnsb = fu/(3)0.5*(nn*Anb + ns*Asb)
= 800[N/mm2]/(3)0.5*(1*245.044[mm2] + 0*314.159[mm2])
= 113.181[kN] Cl. 10.3.3
Vdsb = Vnsb/gmb
= 113.181[kN]/1.25
= 90.545[kN] Cl. 10.3.3
lj>15.0*d ® 180[mm]>15.0*20[mm] ® False
blj = 1 Cl. 10.3.3.1
lg<5.0*d ® 28.7[mm]<5.0*20[mm] ® True
blg = 1 Cl. 10.3.3.2
tpk<6.0 [mm] ® 0[mm]<6.0 [mm] ® True
bpk = 1 Cl. 10.3.3.3
VdsbSPL = blj*blg*bpk*n*Vdsb
= 1*1*1*6*90.545[kN]
= 543.269[kN] Cl. 10.3.3
kb = min(e1/(3*d0), p/(3*d0) - 0.25, fub/fu, 1.0)
= min(55[mm]/(3*22[mm]), 90[mm]/(3*22[mm]) - 0.25, 800[N/mm2]/410[N/mm2], 1.0)
= 0.833 Cl. 10.3.4
Vnpb = 2.5*kb*d*t*fu
= 2.5*0.833*20[mm]*16[mm]*410[N/mm2]
= 273.333[kN] Cl. 10.3.4
Vdpb = Vnpb/gmb
= 273.333[kN]/1.25
= 218.667[kN] Cl. 10.3.4
Vdpg = n*Vdpb
= 6*218.667[kN]
= 1312[kN]
kb = min(e1/(3*d0), p/(3*d0) - 0.25, fub/fu, 1.0)
= min(55[mm]/(3*22[mm]), 90[mm]/(3*22[mm]) - 0.25, 800[N/mm2]/410[N/mm2], 1.0)
= 0.833 Cl. 10.3.4
Vnpb = 2.5*kb*d*t*fu
= 2.5*0.833*20[mm]*12.7[mm]*410[N/mm2]
= 216.958[kN] Cl. 10.3.4
Vdpb = Vnpb/gmb
= 216.958[kN]/1.25
= 173.567[kN] Cl. 10.3.4
Vdpg = n*Vdpb
= 6*173.567[kN]
= 1041.4[kN]
kb = min(e1/(3*d0), p/(3*d0) - 0.25, fub/fu, 1.0)
= min(55[mm]/(3*22[mm]), 90[mm]/(3*22[mm]) - 0.25, 800[N/mm2]/410[N/mm2], 1.0)
= 0.833 Cl. 10.3.4
Vnpb = 2.5*kb*d*t*fu
= 2.5*0.833*20[mm]*16[mm]*410[N/mm2]
= 273.333[kN] Cl. 10.3.4
Vdpb = Vnpb/gmb
= 273.333[kN]/1.25
= 218.667[kN] Cl. 10.3.4
Vdpg = n*Vdpb
= 6*218.667[kN]
= 1312[kN]
kb = min(e1/(3*d0), p/(3*d0) - 0.25, fub/fu, 1.0)
= min(55[mm]/(3*22[mm]), 90[mm]/(3*22[mm]) - 0.25, 800[N/mm2]/410[N/mm2], 1.0)
= 0.833 Cl. 10.3.4
Vnpb = 2.5*kb*d*t*fu
= 2.5*0.833*20[mm]*12.7[mm]*410[N/mm2]
= 216.958[kN] Cl. 10.3.4
Vdpb = Vnpb/gmb
= 216.958[kN]/1.25
= 173.567[kN] Cl. 10.3.4
Vdpg = n*Vdpb
= 6*173.567[kN]
= 1041.4[kN]
kb = min(e1/(3*d0), p/(3*d0) - 0.25, fub/fu, 1.0)
= min(55[mm]/(3*22[mm]), 90[mm]/(3*22[mm]) - 0.25, 800[N/mm2]/410[N/mm2], 1.0)
= 0.833 Cl. 10.3.4
Vnpb = 2.5*kb*d*t*fu
= 2.5*0.833*20[mm]*16[mm]*410[N/mm2]
= 273.333[kN] Cl. 10.3.4
Vdpb = Vnpb/gmb
= 273.333[kN]/1.25
= 218.667[kN] Cl. 10.3.4
Vdpg = n*Vdpb
= 6*218.667[kN]
= 1312[kN]
kb = min(e1/(3*d0), p/(3*d0) - 0.25, fub/fu, 1.0)
= min(55[mm]/(3*22[mm]), 90[mm]/(3*22[mm]) - 0.25, 800[N/mm2]/410[N/mm2], 1.0)
= 0.833 Cl. 10.3.4
Vnpb = 2.5*kb*d*t*fu
= 2.5*0.833*20[mm]*12.7[mm]*410[N/mm2]
= 216.958[kN] Cl. 10.3.4
Vdpb = Vnpb/gmb
= 216.958[kN]/1.25
= 173.567[kN] Cl. 10.3.4
Vdpg = n*Vdpb
= 6*173.567[kN]
= 1041.4[kN]
kb = min(e1/(3*d0), p/(3*d0) - 0.25, fub/fu, 1.0)
= min(55[mm]/(3*22[mm]), 90[mm]/(3*22[mm]) - 0.25, 800[N/mm2]/410[N/mm2], 1.0)
= 0.833 Cl. 10.3.4
Vnpb = 2.5*kb*d*t*fu
= 2.5*0.833*20[mm]*16[mm]*410[N/mm2]
= 273.333[kN] Cl. 10.3.4
Vdpb = Vnpb/gmb
= 273.333[kN]/1.25
= 218.667[kN] Cl. 10.3.4
Vdpg = n*Vdpb
= 6*218.667[kN]
= 1312[kN]
kb = min(e1/(3*d0), p/(3*d0) - 0.25, fub/fu, 1.0)
= min(55[mm]/(3*22[mm]), 90[mm]/(3*22[mm]) - 0.25, 800[N/mm2]/410[N/mm2], 1.0)
= 0.833 Cl. 10.3.4
Vnpb = 2.5*kb*d*t*fu
= 2.5*0.833*20[mm]*12.7[mm]*410[N/mm2]
= 216.958[kN] Cl. 10.3.4
Vdpb = Vnpb/gmb
= 216.958[kN]/1.25
= 173.567[kN] Cl. 10.3.4
Vdpg = n*Vdpb
= 6*173.567[kN]
= 1041.4[kN]
abuck = 0.49
l = (fy*(Lcr/r)2/(π2*E))0.5
= (250[N/mm2]*(304.8[mm]/52.573[mm])2/(π2*2.05E+05[N/mm2]))0.5
= 0.0644 Cl. 7.1.2.1
Fb = 0.5*(1 + abuck*(l - 0.2) + l2)
= 0.5*(1 + 0.49*(0.0644 - 0.2) + 0.06442)
= 0.469 Cl. 7.1.2.1
c = Min(1.0/(Fb + (Fb2 - l2)0.5), 1.0)
= Min(1.0/(0.469 + (0.4692 - 0.06442)0.5), 1.0)
= 1 Cl. 7.1.2.1
fcd = fy/gm0*c
= 250[N/mm2]/1.1*1
= 227.273[N/mm2] Cl. 7.1.2.1
Pd = Ae*fcd
= 9870[mm2]*227.273[N/mm2]
= 2243.18[kN] Cl. 7.1.2
Vreqy = 0.025*Nc
= 0.025*2243.18[kN]
= 56.08[kN] pt. 1-8 Cl.
6.2.7.1
Mecc = V*e
= 56.08[kN]*145[mm]
= 8.132[kN*m] SCI P398 p.53
FzV = V/n
= 56.08[kN]/12
= 4.673[kN] SCI P398 p.54
FxM = (Mw + Mecc)*zmax/Ibg
= (0[kN*m] + 4.066[kN*m])*90[mm]/57750[mm2]
= 6.336[kN] SCI P398 p.54
FzM = (Mw + Mecc)*xmax/Ibg
= (0[kN*m] + 4.066[kN*m])*65[mm]/57750[mm2]
= 4.576[kN] SCI P398 p.54
Fv = ((FxN + FxM)2 + (FzV + FzM)2)0.5
= ((4.673[kN] + 6.336[kN])2 + (0[kN] + 4.576[kN])2)0.5
= 11.923[kN] SCI P398 p.54
Bottom column
Flange cover plate
Bolt group shear [KN] 543.27 261.15 DL 0.48 Cl. 10.3.3
Asb = π/4*d2
= π/4*20[mm]2
= 314.159[mm2]
Anb = 0.78*π/4*d2
= 0.78*π/4*20[mm]2
= 245.044[mm2]
Vnsb = fu/(3)0.5*(nn*Anb + ns*Asb)
= 800[N/mm2]/(3)0.5*(1*245.044[mm2] + 0*314.159[mm2])
= 113.181[kN] Cl. 10.3.3
Vdsb = Vnsb/gmb
= 113.181[kN]/1.25
= 90.545[kN] Cl. 10.3.3
lj>15.0*d ® 180[mm]>15.0*20[mm] ® False
blj = 1 Cl. 10.3.3.1
lg<5.0*d ® 28.7[mm]<5.0*20[mm] ® True
blg = 1 Cl. 10.3.3.2
tpk<6.0 [mm] ® 0[mm]<6.0 [mm] ® True
bpk = 1 Cl. 10.3.3.3
VdsbSPL = blj*blg*bpk*n*Vdsb
= 1*1*1*6*90.545[kN]
= 543.269[kN] Cl. 10.3.3
Nf = Max(Nfc, Nft)
= Max(0[kN], 261.147[kN])
= 261.147[kN] SCI P358 p.187
Nf = Max(Nfc, Nft)
= Max(158.853[kN], 0[kN])
= 158.853[kN] SCI P358 p.187
Nf = Max(Nft, Nfb)
= Max(261.147[kN], 158.853[kN])
= 261.147[kN] SCI P358 p.187
Front plate
Bolt bearing [KN] 1312.00 261.15 DL 0.20 Cl. 10.3.4
kb = min(e1/(3*d0), p/(3*d0) - 0.25, fub/fu, 1.0)
= min(55[mm]/(3*22[mm]), 90[mm]/(3*22[mm]) - 0.25, 800[N/mm2]/410[N/mm2], 1.0)
= 0.833 Cl. 10.3.4
Vnpb = 2.5*kb*d*t*fu
= 2.5*0.833*20[mm]*16[mm]*410[N/mm2]
= 273.333[kN] Cl. 10.3.4
Vdpb = Vnpb/gmb
= 273.333[kN]/1.25
= 218.667[kN] Cl. 10.3.4
Vdpg = n*Vdpb
= 6*218.667[kN]
= 1312[kN]
Nf = Max(Nfc, Nft)
= Max(0[kN], 261.147[kN])
= 261.147[kN] SCI P358 p.187
Column
Top flange bolt bearing [KN] 1041.40 261.15 DL 0.25 Cl. 10.3.4
kb = min(e1/(3*d0), p/(3*d0) - 0.25, fub/fu, 1.0)
= min(55[mm]/(3*22[mm]), 90[mm]/(3*22[mm]) - 0.25, 800[N/mm2]/410[N/mm2], 1.0)
= 0.833 Cl. 10.3.4
Vnpb = 2.5*kb*d*t*fu
= 2.5*0.833*20[mm]*12.7[mm]*410[N/mm2]
= 216.958[kN] Cl. 10.3.4
Vdpb = Vnpb/gmb
= 216.958[kN]/1.25
= 173.567[kN] Cl. 10.3.4
Vdpg = n*Vdpb
= 6*173.567[kN]
= 1041.4[kN]
Nf = Max(Nfc, Nft)
= Max(0[kN], 261.147[kN])
= 261.147[kN] SCI P358 p.187
Bottom flange bolt bearing [KN] 1041.40 158.85 DL 0.15 Cl. 10.3.4
kb = min(e1/(3*d0), p/(3*d0) - 0.25, fub/fu, 1.0)
= min(55[mm]/(3*22[mm]), 90[mm]/(3*22[mm]) - 0.25, 800[N/mm2]/410[N/mm2], 1.0)
= 0.833 Cl. 10.3.4
Vnpb = 2.5*kb*d*t*fu
= 2.5*0.833*20[mm]*12.7[mm]*410[N/mm2]
= 216.958[kN] Cl. 10.3.4
Vdpb = Vnpb/gmb
= 216.958[kN]/1.25
= 173.567[kN] Cl. 10.3.4
Vdpg = n*Vdpb
= 6*173.567[kN]
= 1041.4[kN]
Nf = Max(Nfc, Nft)
= Max(158.853[kN], 0[kN])
= 158.853[kN] SCI P358 p.187
Block tearing due to tension (bottom flange) [KN] 1125.59 158.85 DL 0.14
Cl. 6.4.1
EffectiveInteriorPlates ® False
rof = 1 SCI P358 p.186
Atg = 2*e2*t
= 2*60[mm]*12.7[mm]
= 1524[mm2]
Atn = 2*t*(e2 - d0/2.0)
= 2*12.7[mm]*(60[mm] - 22[mm]/2.0)
= 1244.6[mm2]
Avg = 2*t*(e1 + p1*(n1 - 1))
= 2*12.7[mm]*(55[mm] + 90[mm]*(3 - 1))
= 5969[mm2]
Avn = 2*t*(e1 + (p1 - d0)*(n1 - 1) - 0.5*d0)
= 2*12.7[mm]*(55[mm] + (90[mm] - 22[mm])*(3 - 1) - 0.5*22[mm])
= 4572[mm2]
Tdb = min(Avg*fy/(30.5*gm0) + 0.9*Atn*fu/gm1, 0.9*Avn*fu/(30.5*gm1) + Atg*fy/gm0)
= min(5969[mm2]*250[N/mm2]/(30.5*1.1) + 0.9*1244.6[mm2]*410[N/mm2]/1.25,
0.9*4572[mm2]*410[N/mm2]/(30.5*
1.25) + 1524[mm2]*250[N/mm2]/1.1)
= 1125.59[kN] Cl. 6.4.1
EffectiveInteriorPlates ® False
rof = 1 SCI P358 p.186
Flange plate minimum capacities major axis
Bending [KN*m] 378.18 106.77 DL 0.28 Cl. 7.1.2,
Cl. 6.2,
Cl. 6.3,
Cl. 8.2.1.2
Lcr = 0.6*Max(p1fp, p1j)
= 0.6*Max(90[mm], 120[mm])
= 72[mm] SCI P398 p.57
r = tp/(12.0)0.5
= 16[mm]/(12.0)0.5
= 4.619[mm]
abuck = 0.49
l = (fy*(Lcr/r)2/(π2*E))0.5
= (250[N/mm2]*(72[mm]/4.619[mm])2/(π2*2.05E+05[N/mm2]))0.5
= 0.173 Cl. 7.1.2.1
Fb = 0.5*(1 + abuck*(l - 0.2) + l2)
= 0.5*(1 + 0.49*(0.173 - 0.2) + 0.1732)
= 0.508 Cl. 7.1.2.1
c = Min(1.0/(Fb + (Fb2 - l2)0.5), 1.0)
= Min(1.0/(0.508 + (0.5082 - 0.1732)0.5), 1.0)
= 1 Cl. 7.1.2.1
fcd = fy/gm0*c
= 250[N/mm2]/1.1*1
= 227.273[N/mm2] Cl. 7.1.2.1
Pd = Ae*fcd
= 4000[mm2]*227.273[N/mm2]
= 909.091[kN] Cl. 7.1.2
Lcr = 0.6*Max(p1fp, p1j)
= 0.6*Max(90[mm], 120[mm])
= 72[mm] SCI P398 p.57
r = tp/(12.0)0.5
= 16[mm]/(12.0)0.5
= 4.619[mm]
abuck = 0.49
l = (fy*(Lcr/r)2/(π2*E))0.5
= (250[N/mm2]*(72[mm]/4.619[mm])2/(π2*2.05E+05[N/mm2]))0.5
= 0.173 Cl. 7.1.2.1
Fb = 0.5*(1 + abuck*(l - 0.2) + l2)
= 0.5*(1 + 0.49*(0.173 - 0.2) + 0.1732)
= 0.508 Cl. 7.1.2.1
c = Min(1.0/(Fb + (Fb2 - l2)0.5), 1.0)
= Min(1.0/(0.508 + (0.5082 - 0.1732)0.5), 1.0)
= 1 Cl. 7.1.2.1
fcd = fy/gm0*c
= 250[N/mm2]/1.1*1
= 227.273[N/mm2] Cl. 7.1.2.1
Pd = Ae*fcd
= 4000[mm2]*227.273[N/mm2]
= 909.091[kN] Cl. 7.1.2
Mfdc = h*Nfdc
= 9.09E+05[mm]*0.416[kN]
= 378.182[kN*m] SCI P358 p.194
Tdg = Ag*fy/gm0
= 4000[mm2]*250[N/mm2]/1.1
= 909.091[kN] Cl. 6.2
Tdg = Ag*fy/gm0
= 4000[mm2]*250[N/mm2]/1.1
= 909.091[kN] Cl. 6.2
Afpnet = tp*(b - n2*d0)
= 16[mm]*(250[mm] - 2*22[mm])
= 3296[mm2] SCI P358 p.188
Tdn = 0.9*An*fu/gm1
= 0.9*3296[mm2]*410[N/mm2]/1.25
= 972.979[kN] Cl. 6.3
Afpnet = tp*(b - n2*d0)
= 16[mm]*(250[mm] - 2*22[mm])
= 3296[mm2] SCI P358 p.188
Tdn = 0.9*An*fu/gm1
= 0.9*3296[mm2]*410[N/mm2]/1.25
= 972.979[kN] Cl. 6.3
Mfdt = h*Nfdt
= 9.09E+05[mm]*0.416[kN]
= 378.182[kN*m] SCI P358 p.194
Md = Zp*fy/gm0
= 1.57E+06[mm3]*250[N/mm2]/1.1
= 355.909[kN*m] Cl. 8.2.1.2
Mreqy = 0.3*Mcyd
= 0.3*355.909[kN*m]
= 106.773[kN*m] Cl. 10.7
Bolt resistance to bending [KN*m] 226.00 106.77 DL 0.47 Cl. 10.3.4,
Cl. 10.3.3,
Cl. 8.2.1.2
kb = min(e1/(3*d0), p/(3*d0) - 0.25, fub/fu, 1.0)
= min(55[mm]/(3*22[mm]), 90[mm]/(3*22[mm]) - 0.25, 800[N/mm2]/410[N/mm2], 1.0)
= 0.833 Cl. 10.3.4
Vnpb = 2.5*kb*d*t*fu
= 2.5*0.833*20[mm]*16[mm]*410[N/mm2]
= 273.333[kN] Cl. 10.3.4
Vdpb = Vnpb/gmb
= 273.333[kN]/1.25
= 218.667[kN] Cl. 10.3.4
Vdpg = n*Vdpb
= 6*218.667[kN]
= 1312[kN]
kb = min(e1/(3*d0), p/(3*d0) - 0.25, fub/fu, 1.0)
= min(55[mm]/(3*22[mm]), 90[mm]/(3*22[mm]) - 0.25, 800[N/mm2]/410[N/mm2], 1.0)
= 0.833 Cl. 10.3.4
Vnpb = 2.5*kb*d*t*fu
= 2.5*0.833*20[mm]*16[mm]*410[N/mm2]
= 273.333[kN] Cl. 10.3.4
Vdpb = Vnpb/gmb
= 273.333[kN]/1.25
= 218.667[kN] Cl. 10.3.4
Vdpg = n*Vdpb
= 6*218.667[kN]
= 1312[kN]
Asb = π/4*d2
= π/4*20[mm]2
= 314.159[mm2]
Anb = 0.78*π/4*d2
= 0.78*π/4*20[mm]2
= 245.044[mm2]
Vnsb = fu/(3)0.5*(nn*Anb + ns*Asb)
= 800[N/mm2]/(3)0.5*(1*245.044[mm2] + 0*314.159[mm2])
= 113.181[kN] Cl. 10.3.3
Vdsb = Vnsb/gmb
= 113.181[kN]/1.25
= 90.545[kN] Cl. 10.3.3
lj>15.0*d ® 180[mm]>15.0*20[mm] ® False
blj = 1 Cl. 10.3.3.1
lg<5.0*d ® 28.7[mm]<5.0*20[mm] ® True
blg = 1 Cl. 10.3.3.2
tpk<6.0 [mm] ® 0[mm]<6.0 [mm] ® True
bpk = 1 Cl. 10.3.3.3
VdsbSPL = blj*blg*bpk*n*Vdsb
= 1*1*1*6*90.545[kN]
= 543.269[kN] Cl. 10.3.3
kb = min(e1/(3*d0), p/(3*d0) - 0.25, fub/fu, 1.0)
= min(55[mm]/(3*22[mm]), 90[mm]/(3*22[mm]) - 0.25, 800[N/mm2]/410[N/mm2], 1.0)
= 0.833 Cl. 10.3.4
Vnpb = 2.5*kb*d*t*fu
= 2.5*0.833*20[mm]*16[mm]*410[N/mm2]
= 273.333[kN] Cl. 10.3.4
Vdpb = Vnpb/gmb
= 273.333[kN]/1.25
= 218.667[kN] Cl. 10.3.4
Vdpg = n*Vdpb
= 6*218.667[kN]
= 1312[kN]
kb = min(e1/(3*d0), p/(3*d0) - 0.25, fub/fu, 1.0)
= min(55[mm]/(3*22[mm]), 90[mm]/(3*22[mm]) - 0.25, 800[N/mm2]/410[N/mm2], 1.0)
= 0.833 Cl. 10.3.4
Vnpb = 2.5*kb*d*t*fu
= 2.5*0.833*20[mm]*16[mm]*410[N/mm2]
= 273.333[kN] Cl. 10.3.4
Vdpb = Vnpb/gmb
= 273.333[kN]/1.25
= 218.667[kN] Cl. 10.3.4
Vdpg = n*Vdpb
= 6*218.667[kN]
= 1312[kN]
Asb = π/4*d2
= π/4*20[mm]2
= 314.159[mm2]
Anb = 0.78*π/4*d2
= 0.78*π/4*20[mm]2
= 245.044[mm2]
Vnsb = fu/(3)0.5*(nn*Anb + ns*Asb)
= 800[N/mm2]/(3)0.5*(1*245.044[mm2] + 0*314.159[mm2])
= 113.181[kN] Cl. 10.3.3
Vdsb = Vnsb/gmb
= 113.181[kN]/1.25
= 90.545[kN] Cl. 10.3.3
lj>15.0*d ® 180[mm]>15.0*20[mm] ® False
blj = 1 Cl. 10.3.3.1
lg<5.0*d ® 28.7[mm]<5.0*20[mm] ® True
blg = 1 Cl. 10.3.3.2
tpk<6.0 [mm] ® 0[mm]<6.0 [mm] ® True
bpk = 1 Cl. 10.3.3.3
VdsbSPL = blj*blg*bpk*n*Vdsb
= 1*1*1*6*90.545[kN]
= 543.269[kN] Cl. 10.3.3
MfdB = h*Fdfp
= 5.43E+05[mm]*0.416[kN]
= 226[kN*m] SCI P358 p.194
Md = Zp*fy/gm0
= 1.57E+06[mm3]*250[N/mm2]/1.1
= 355.909[kN*m] Cl. 8.2.1.2
Mreqy = 0.3*Mcyd
= 0.3*355.909[kN*m]
= 106.773[kN*m] Cl. 10.7
Flange plate minimum capacities minor axis
Bending [KN*m] 75.76 14.86 DL 0.20 Cl. 8.2.1.2
Ze = b*h2/6
= 16[mm]*250[mm]2/6
= 1.67E+05[mm3]
Ze = b*h2/6
= 16[mm]*250[mm]2/6
= 1.67E+05[mm3]
Md = Ze*fy/gm0
= 1.67E+05[mm3]*250[N/mm2]/1.1
= 37.879[kN*m] Cl. 8.2.1.2
Md = Ze*fy/gm0
= 1.67E+05[mm3]*250[N/mm2]/1.1
= 37.879[kN*m] Cl. 8.2.1.2
Md = Zp*fy/gm0
= 2.18E+05[mm3]*250[N/mm2]/1.1
= 49.545[kN*m] Cl. 8.2.1.2
Mreqz = 0.3*Mczd
= 0.3*49.545[kN*m]
= 14.864[kN*m] Cl. 10.7
Bolt shear due to bending [KN] 90.54 11.91 DL 0.13 Cl. 10.3.3,
Cl. 10.3.4,
Cl. 8.2.1.2
Asb = π/4*d2
= π/4*20[mm]2
= 314.159[mm2]
Anb = 0.78*π/4*d2
= 0.78*π/4*20[mm]2
= 245.044[mm2]
Vnsb = fu/(3)0.5*(nn*Anb + ns*Asb)
= 800[N/mm2]/(3)0.5*(1*245.044[mm2] + 0*314.159[mm2])
= 113.181[kN] Cl. 10.3.3
Vdsb = Vnsb/gmb
= 113.181[kN]/1.25
= 90.545[kN] Cl. 10.3.3
lj>15.0*d ® 180[mm]>15.0*20[mm] ® False
blj = 1 Cl. 10.3.3.1
lg<5.0*d ® 28.7[mm]<5.0*20[mm] ® True
blg = 1 Cl. 10.3.3.2
tpk<6.0 [mm] ® 0[mm]<6.0 [mm] ® True
bpk = 1 Cl. 10.3.3.3
VdsbSPL = blj*blg*bpk*n*Vdsb
= 1*1*1*6*90.545[kN]
= 543.269[kN] Cl. 10.3.3
Asb = π/4*d2
= π/4*20[mm]2
= 314.159[mm2]
Anb = 0.78*π/4*d2
= 0.78*π/4*20[mm]2
= 245.044[mm2]
Vnsb = fu/(3)0.5*(nn*Anb + ns*Asb)
= 800[N/mm2]/(3)0.5*(1*245.044[mm2] + 0*314.159[mm2])
= 113.181[kN] Cl. 10.3.3
Vdsb = Vnsb/gmb
= 113.181[kN]/1.25
= 90.545[kN] Cl. 10.3.3
lj>15.0*d ® 180[mm]>15.0*20[mm] ® False
blj = 1 Cl. 10.3.3.1
lg<5.0*d ® 28.7[mm]<5.0*20[mm] ® True
blg = 1 Cl. 10.3.3.2
tpk<6.0 [mm] ® 0[mm]<6.0 [mm] ® True
bpk = 1 Cl. 10.3.3.3
VdsbSPL = blj*blg*bpk*n*Vdsb
= 1*1*1*6*90.545[kN]
= 543.269[kN] Cl. 10.3.3
kb = min(e1/(3*d0), p/(3*d0) - 0.25, fub/fu, 1.0)
= min(55[mm]/(3*22[mm]), 90[mm]/(3*22[mm]) - 0.25, 800[N/mm2]/410[N/mm2], 1.0)
= 0.833 Cl. 10.3.4
Vnpb = 2.5*kb*d*t*fu
= 2.5*0.833*20[mm]*16[mm]*410[N/mm2]
= 273.333[kN] Cl. 10.3.4
Vdpb = Vnpb/gmb
= 273.333[kN]/1.25
= 218.667[kN] Cl. 10.3.4
Vdpg = n*Vdpb
= 6*218.667[kN]
= 1312[kN]
kb = min(e1/(3*d0), p/(3*d0) - 0.25, fub/fu, 1.0)
= min(55[mm]/(3*22[mm]), 90[mm]/(3*22[mm]) - 0.25, 800[N/mm2]/410[N/mm2], 1.0)
= 0.833 Cl. 10.3.4
Vnpb = 2.5*kb*d*t*fu
= 2.5*0.833*20[mm]*12.7[mm]*410[N/mm2]
= 216.958[kN] Cl. 10.3.4
Vdpb = Vnpb/gmb
= 216.958[kN]/1.25
= 173.567[kN] Cl. 10.3.4
Vdpg = n*Vdpb
= 6*173.567[kN]
= 1041.4[kN]
kb = min(e1/(3*d0), p/(3*d0) - 0.25, fub/fu, 1.0)
= min(55[mm]/(3*22[mm]), 90[mm]/(3*22[mm]) - 0.25, 800[N/mm2]/410[N/mm2], 1.0)
= 0.833 Cl. 10.3.4
Vnpb = 2.5*kb*d*t*fu
= 2.5*0.833*20[mm]*16[mm]*410[N/mm2]
= 273.333[kN] Cl. 10.3.4
Vdpb = Vnpb/gmb
= 273.333[kN]/1.25
= 218.667[kN] Cl. 10.3.4
Vdpg = n*Vdpb
= 6*218.667[kN]
= 1312[kN]
kb = min(e1/(3*d0), p/(3*d0) - 0.25, fub/fu, 1.0)
= min(55[mm]/(3*22[mm]), 90[mm]/(3*22[mm]) - 0.25, 800[N/mm2]/410[N/mm2], 1.0)
= 0.833 Cl. 10.3.4
Vnpb = 2.5*kb*d*t*fu
= 2.5*0.833*20[mm]*12.7[mm]*410[N/mm2]
= 216.958[kN] Cl. 10.3.4
Vdpb = Vnpb/gmb
= 216.958[kN]/1.25
= 173.567[kN] Cl. 10.3.4
Vdpg = n*Vdpb
= 6*173.567[kN]
= 1041.4[kN]
kb = min(e1/(3*d0), p/(3*d0) - 0.25, fub/fu, 1.0)
= min(55[mm]/(3*22[mm]), 90[mm]/(3*22[mm]) - 0.25, 800[N/mm2]/410[N/mm2], 1.0)
= 0.833 Cl. 10.3.4
Vnpb = 2.5*kb*d*t*fu
= 2.5*0.833*20[mm]*16[mm]*410[N/mm2]
= 273.333[kN] Cl. 10.3.4
Vdpb = Vnpb/gmb
= 273.333[kN]/1.25
= 218.667[kN] Cl. 10.3.4
Vdpg = n*Vdpb
= 6*218.667[kN]
= 1312[kN]
kb = min(e1/(3*d0), p/(3*d0) - 0.25, fub/fu, 1.0)
= min(55[mm]/(3*22[mm]), 90[mm]/(3*22[mm]) - 0.25, 800[N/mm2]/410[N/mm2], 1.0)
= 0.833 Cl. 10.3.4
Vnpb = 2.5*kb*d*t*fu
= 2.5*0.833*20[mm]*12.7[mm]*410[N/mm2]
= 216.958[kN] Cl. 10.3.4
Vdpb = Vnpb/gmb
= 216.958[kN]/1.25
= 173.567[kN] Cl. 10.3.4
Vdpg = n*Vdpb
= 6*173.567[kN]
= 1041.4[kN]
kb = min(e1/(3*d0), p/(3*d0) - 0.25, fub/fu, 1.0)
= min(55[mm]/(3*22[mm]), 90[mm]/(3*22[mm]) - 0.25, 800[N/mm2]/410[N/mm2], 1.0)
= 0.833 Cl. 10.3.4
Vnpb = 2.5*kb*d*t*fu
= 2.5*0.833*20[mm]*16[mm]*410[N/mm2]
= 273.333[kN] Cl. 10.3.4
Vdpb = Vnpb/gmb
= 273.333[kN]/1.25
= 218.667[kN] Cl. 10.3.4
Vdpg = n*Vdpb
= 6*218.667[kN]
= 1312[kN]
kb = min(e1/(3*d0), p/(3*d0) - 0.25, fub/fu, 1.0)
= min(55[mm]/(3*22[mm]), 90[mm]/(3*22[mm]) - 0.25, 800[N/mm2]/410[N/mm2], 1.0)
= 0.833 Cl. 10.3.4
Vnpb = 2.5*kb*d*t*fu
= 2.5*0.833*20[mm]*12.7[mm]*410[N/mm2]
= 216.958[kN] Cl. 10.3.4
Vdpb = Vnpb/gmb
= 216.958[kN]/1.25
= 173.567[kN] Cl. 10.3.4
Vdpg = n*Vdpb
= 6*173.567[kN]
= 1041.4[kN]
Md = Zp*fy/gm0
= 2.18E+05[mm3]*250[N/mm2]/1.1
= 49.545[kN*m] Cl. 8.2.1.2
Mreqbz = 0.125*Mczd
= 0.125*49.545[kN*m]
= 6.193[kN*m] [EC3-8] Cl.
6.2.7.1
FzV = V/n
= 0[kN]/12
= 0[kN] SCI P398 p.54
FxM = (Mw + Mecc)*zmax/Ibg
= (0[kN*m] + 6.193[kN*m])*90[mm]/57750[mm2]
= 9.652[kN] SCI P398 p.54
FzM = (Mw + Mecc)*xmax/Ibg
= (0[kN*m] + 6.193[kN*m])*65[mm]/57750[mm2]
= 6.971[kN] SCI P398 p.54
Fv = ((FxN + FxM)2 + (FzV + FzM)2)0.5
= ((0[kN] + 9.652[kN])2 + (0[kN] + 6.971[kN])2)0.5
= 11.906[kN] SCI P398 p.54
Plate shear [KN] 944.75 56.08 DL 0.06 Cl. 7.1.2
Vdfp = 0.9*(tfp*bfp*fyp)/(3.00.5*gm0)
= 0.9*(16[mm]*250[mm]*250[N/mm2])/(3.00.5*1.1)
= 472.377[kN] SCI P358 p.195
Vdfp = 0.9*(tfp*bfp*fyp)/(3.00.5*gm0)
= 0.9*(16[mm]*250[mm]*250[N/mm2])/(3.00.5*1.1)
= 472.377[kN] SCI P358 p.195
abuck = 0.49
l = (fy*(Lcr/r)2/(π2*E))0.5
= (250[N/mm2]*(304.8[mm]/52.573[mm])2/(π2*2.05E+05[N/mm2]))0.5
= 0.0644 Cl. 7.1.2.1
Fb = 0.5*(1 + abuck*(l - 0.2) + l2)
= 0.5*(1 + 0.49*(0.0644 - 0.2) + 0.06442)
= 0.469 Cl. 7.1.2.1
c = Min(1.0/(Fb + (Fb2 - l2)0.5), 1.0)
= Min(1.0/(0.469 + (0.4692 - 0.06442)0.5), 1.0)
= 1 Cl. 7.1.2.1
fcd = fy/gm0*c
= 250[N/mm2]/1.1*1
= 227.273[N/mm2] Cl. 7.1.2.1
Pd = Ae*fcd
= 9870[mm2]*227.273[N/mm2]
= 2243.18[kN] Cl. 7.1.2
Vreqy = 0.025*Nc
= 0.025*2243.18[kN]
= 56.08[kN] pt. 1-8 Cl.
6.2.7.1
Bolt shear [KN] 90.54 11.92 DL 0.13 Cl. 10.3.3,
Cl. 10.3.4,
Cl. 7.1.2
Asb = π/4*d2
= π/4*20[mm]2
= 314.159[mm2]
Anb = 0.78*π/4*d2
= 0.78*π/4*20[mm]2
= 245.044[mm2]
Vnsb = fu/(3)0.5*(nn*Anb + ns*Asb)
= 800[N/mm2]/(3)0.5*(1*245.044[mm2] + 0*314.159[mm2])
= 113.181[kN] Cl. 10.3.3
Vdsb = Vnsb/gmb
= 113.181[kN]/1.25
= 90.545[kN] Cl. 10.3.3
lj>15.0*d ® 180[mm]>15.0*20[mm] ® False
blj = 1 Cl. 10.3.3.1
lg<5.0*d ® 28.7[mm]<5.0*20[mm] ® True
blg = 1 Cl. 10.3.3.2
tpk<6.0 [mm] ® 0[mm]<6.0 [mm] ® True
bpk = 1 Cl. 10.3.3.3
VdsbSPL = blj*blg*bpk*n*Vdsb
= 1*1*1*6*90.545[kN]
= 543.269[kN] Cl. 10.3.3
Asb = π/4*d2
= π/4*20[mm]2
= 314.159[mm2]
Anb = 0.78*π/4*d2
= 0.78*π/4*20[mm]2
= 245.044[mm2]
Vnsb = fu/(3)0.5*(nn*Anb + ns*Asb)
= 800[N/mm2]/(3)0.5*(1*245.044[mm2] + 0*314.159[mm2])
= 113.181[kN] Cl. 10.3.3
Vdsb = Vnsb/gmb
= 113.181[kN]/1.25
= 90.545[kN] Cl. 10.3.3
lj>15.0*d ® 180[mm]>15.0*20[mm] ® False
blj = 1 Cl. 10.3.3.1
lg<5.0*d ® 28.7[mm]<5.0*20[mm] ® True
blg = 1 Cl. 10.3.3.2
tpk<6.0 [mm] ® 0[mm]<6.0 [mm] ® True
bpk = 1 Cl. 10.3.3.3
VdsbSPL = blj*blg*bpk*n*Vdsb
= 1*1*1*6*90.545[kN]
= 543.269[kN] Cl. 10.3.3
kb = min(e1/(3*d0), p/(3*d0) - 0.25, fub/fu, 1.0)
= min(55[mm]/(3*22[mm]), 90[mm]/(3*22[mm]) - 0.25, 800[N/mm2]/410[N/mm2], 1.0)
= 0.833 Cl. 10.3.4
Vnpb = 2.5*kb*d*t*fu
= 2.5*0.833*20[mm]*16[mm]*410[N/mm2]
= 273.333[kN] Cl. 10.3.4
Vdpb = Vnpb/gmb
= 273.333[kN]/1.25
= 218.667[kN] Cl. 10.3.4
Vdpg = n*Vdpb
= 6*218.667[kN]
= 1312[kN]
kb = min(e1/(3*d0), p/(3*d0) - 0.25, fub/fu, 1.0)
= min(55[mm]/(3*22[mm]), 90[mm]/(3*22[mm]) - 0.25, 800[N/mm2]/410[N/mm2], 1.0)
= 0.833 Cl. 10.3.4
Vnpb = 2.5*kb*d*t*fu
= 2.5*0.833*20[mm]*12.7[mm]*410[N/mm2]
= 216.958[kN] Cl. 10.3.4
Vdpb = Vnpb/gmb
= 216.958[kN]/1.25
= 173.567[kN] Cl. 10.3.4
Vdpg = n*Vdpb
= 6*173.567[kN]
= 1041.4[kN]
kb = min(e1/(3*d0), p/(3*d0) - 0.25, fub/fu, 1.0)
= min(55[mm]/(3*22[mm]), 90[mm]/(3*22[mm]) - 0.25, 800[N/mm2]/410[N/mm2], 1.0)
= 0.833 Cl. 10.3.4
Vnpb = 2.5*kb*d*t*fu
= 2.5*0.833*20[mm]*16[mm]*410[N/mm2]
= 273.333[kN] Cl. 10.3.4
Vdpb = Vnpb/gmb
= 273.333[kN]/1.25
= 218.667[kN] Cl. 10.3.4
Vdpg = n*Vdpb
= 6*218.667[kN]
= 1312[kN]
kb = min(e1/(3*d0), p/(3*d0) - 0.25, fub/fu, 1.0)
= min(55[mm]/(3*22[mm]), 90[mm]/(3*22[mm]) - 0.25, 800[N/mm2]/410[N/mm2], 1.0)
= 0.833 Cl. 10.3.4
Vnpb = 2.5*kb*d*t*fu
= 2.5*0.833*20[mm]*12.7[mm]*410[N/mm2]
= 216.958[kN] Cl. 10.3.4
Vdpb = Vnpb/gmb
= 216.958[kN]/1.25
= 173.567[kN] Cl. 10.3.4
Vdpg = n*Vdpb
= 6*173.567[kN]
= 1041.4[kN]
kb = min(e1/(3*d0), p/(3*d0) - 0.25, fub/fu, 1.0)
= min(55[mm]/(3*22[mm]), 90[mm]/(3*22[mm]) - 0.25, 800[N/mm2]/410[N/mm2], 1.0)
= 0.833 Cl. 10.3.4
Vnpb = 2.5*kb*d*t*fu
= 2.5*0.833*20[mm]*16[mm]*410[N/mm2]
= 273.333[kN] Cl. 10.3.4
Vdpb = Vnpb/gmb
= 273.333[kN]/1.25
= 218.667[kN] Cl. 10.3.4
Vdpg = n*Vdpb
= 6*218.667[kN]
= 1312[kN]
kb = min(e1/(3*d0), p/(3*d0) - 0.25, fub/fu, 1.0)
= min(55[mm]/(3*22[mm]), 90[mm]/(3*22[mm]) - 0.25, 800[N/mm2]/410[N/mm2], 1.0)
= 0.833 Cl. 10.3.4
Vnpb = 2.5*kb*d*t*fu
= 2.5*0.833*20[mm]*12.7[mm]*410[N/mm2]
= 216.958[kN] Cl. 10.3.4
Vdpb = Vnpb/gmb
= 216.958[kN]/1.25
= 173.567[kN] Cl. 10.3.4
Vdpg = n*Vdpb
= 6*173.567[kN]
= 1041.4[kN]
kb = min(e1/(3*d0), p/(3*d0) - 0.25, fub/fu, 1.0)
= min(55[mm]/(3*22[mm]), 90[mm]/(3*22[mm]) - 0.25, 800[N/mm2]/410[N/mm2], 1.0)
= 0.833 Cl. 10.3.4
Vnpb = 2.5*kb*d*t*fu
= 2.5*0.833*20[mm]*16[mm]*410[N/mm2]
= 273.333[kN] Cl. 10.3.4
Vdpb = Vnpb/gmb
= 273.333[kN]/1.25
= 218.667[kN] Cl. 10.3.4
Vdpg = n*Vdpb
= 6*218.667[kN]
= 1312[kN]
kb = min(e1/(3*d0), p/(3*d0) - 0.25, fub/fu, 1.0)
= min(55[mm]/(3*22[mm]), 90[mm]/(3*22[mm]) - 0.25, 800[N/mm2]/410[N/mm2], 1.0)
= 0.833 Cl. 10.3.4
Vnpb = 2.5*kb*d*t*fu
= 2.5*0.833*20[mm]*12.7[mm]*410[N/mm2]
= 216.958[kN] Cl. 10.3.4
Vdpb = Vnpb/gmb
= 216.958[kN]/1.25
= 173.567[kN] Cl. 10.3.4
Vdpg = n*Vdpb
= 6*173.567[kN]
= 1041.4[kN]
abuck = 0.49
l = (fy*(Lcr/r)2/(π2*E))0.5
= (250[N/mm2]*(304.8[mm]/52.573[mm])2/(π2*2.05E+05[N/mm2]))0.5
= 0.0644 Cl. 7.1.2.1
Fb = 0.5*(1 + abuck*(l - 0.2) + l2)
= 0.5*(1 + 0.49*(0.0644 - 0.2) + 0.06442)
= 0.469 Cl. 7.1.2.1
c = Min(1.0/(Fb + (Fb2 - l2)0.5), 1.0)
= Min(1.0/(0.469 + (0.4692 - 0.06442)0.5), 1.0)
= 1 Cl. 7.1.2.1
fcd = fy/gm0*c
= 250[N/mm2]/1.1*1
= 227.273[N/mm2] Cl. 7.1.2.1
Pd = Ae*fcd
= 9870[mm2]*227.273[N/mm2]
= 2243.18[kN] Cl. 7.1.2
Vreqy = 0.025*Nc
= 0.025*2243.18[kN]
= 56.08[kN] pt. 1-8 Cl.
6.2.7.1
Mecc = V*e
= 56.08[kN]*145[mm]
= 8.132[kN*m] SCI P398 p.53
FzV = V/n
= 56.08[kN]/12
= 4.673[kN] SCI P398 p.54
FxM = (Mw + Mecc)*zmax/Ibg
= (0[kN*m] + 4.066[kN*m])*90[mm]/57750[mm2]
= 6.336[kN] SCI P398 p.54
FzM = (Mw + Mecc)*xmax/Ibg
= (0[kN*m] + 4.066[kN*m])*65[mm]/57750[mm2]
= 4.576[kN] SCI P398 p.54
Fv = ((FxN + FxM)2 + (FzV + FzM)2)0.5
= ((4.673[kN] + 6.336[kN])2 + (0[kN] + 4.576[kN])2)0.5
= 11.923[kN] SCI P398 p.54
----------------------------------------------------------------------
Global critical strength ratio 0.48
----------------------------------------------------------------------
NOTES
Some verifications for this connection are not available in IS 800-2007 and thus, they
have been calculated with NA to BS EN 1993-1-8:2005
NOTATION
Ae: Effective sectional area
Afpnet: Flange plate net area
Ag: Gross area of cross section
An: Net area of the total cross-section
Anb: Net shear area of the bolt at threads
Asb: Nominal plain shank area of the bolt
Atg: Minimum gross area in tension from the bolt hole perpendicular to the line of
force
Atn: Minimum net area in tension from the bolt hole perpendicular to the line of
force
Avg: Minimum gross area in shear along bolt line parallel to external force
Avn: Minimum net area in shear along bolt line parallel to external force
abuck: Imperfection factor
b: Width of the plate
bfp: Flange plate width
b: Depth of the plate
buc: Width of the smaller section of the splice
blj: Reduction factor for bolt resistance in long joints
blg: Reduction factor for bolt resistance due to grip length
bpk: Reduction factor for bolts transmitting shear and bearing through packing
c: Stress reduction factor due to buckling
CorrosionExposed: Members are exposed to corrosive influences
d: Nominal bolt diameter
d0: Diameter of the bolt hole
dh: Diameter of bolt hole
E: Steel modulus of elasticity
e1: End distance
e2: Edge distance
emax: Maximum edge distance
emin: Minimum edge distance
e: Eccentricity of the bolt group from the centreline of the splice
EffectiveInteriorPlates: Interior flange plates are effective
fcd: Design compressive stress
Fdfp: Resistance of the flange bolt group
fu: Characteristic ultime tensile stress of the connected part
fub: Ultime tensile stress of the bolt
Fv: Maximum resultant force on an extreme bolt
FxM: Force component in the direction of the axial force, on extreme bolts due to
moment
FxN: Force component per bolt due to axial
fy: Characteristic yield stress of the connected part
fyp: Yield strength of the plate material
FzM: Force component in the direction of the shear force, on extreme bolts due to
moment
FzV: Force component per bolt due to shear
gm0: Partial factor against yield stress and buckling
gm1: Partial factor against ultimate stress
gmb: Partial factor for bolted connection with bearing type bolts
h: Height of the plate
h: Moment arm
Ibg: Moment of inertia of bolt group
kb: Bearing capacity factor
Lcr: Buckling length in the buckling plane considered
lg: Grip length (total thickness of the connected plates)
lj: Length between end bolts of the joint
Lp: Length of the plate
l: Non-dimensional effective slenderness ratio
Mcyd: Design resistance for bending of the weaker section in the major axis
Mczd: Design resistance for bending of the weaker section in the minor axis
Md: Design bending strenght
Mecc: Moment due to force eccentricity
MfdB: Minimum bending resistance of the bolt group
Mfdc: Minimum bending resistance of the flange plate in compression
Mfdt: Minimum bending resistance of the flange plate in tension
Mreqbz: Minimum required bolt moment resistance in the minor axis
Mreqy: Minimum bending required major axis moment
Mreqz: Minimum bending required minor axis moment
Mw: Moment in the web at the centreline of the splice
n: Number of bolts
n1: Number of rows of bolts
n2: Number of columns of bolts
Nc: Design resistance to normal forces of the gross section for uniform compression
Nf: Axial force in the flange
Nfb: Resultant axial force in bottom flange
Nfc: Design compression force
Nfdc: Design resistance of the compression flange plate
Nfdt: Design resistance of the tension flange plate
Nft: Design tension force
Nft: Resultant axial force in top flange
nn: Number of shear planes with threads intercepting the shear plane
ns: Number of shear planes without threads intercepting the shear plane
p: Pitch distance
p1: Vertical spacing between centres of bolts in a line in the load direction
p1fp: Spacing of the bolts in the direction of the force
p1j: Spacing of the bolts across the joint in the direction of the force
Pd: Design compressive strength
pmax: Maximum pitch
pmin: Minimum pitch
Fb: Value to determine buckling reduction factor
r: Appropriate radius of gyration
rof: Outer flange plates gross area ratio
ShearedEdges: Sheared or hand cut flame edges
t: Component thickness
Tdb: Block shear strength
Tdg: Yielding strength of gross section under axial tension
Tdn: Design tension strength governed by rupture of net cross-sectional area
tfp: Thickness of the flange plate
tfuc: Thickness of the smaller section of the splice
tp: Thickness of the plate
tpk: Packing thickness
V: Factored applied shear force
Vdfp: Minimum shear resistance of flange plates
Vdpb: Design bearing strength of a bolt
Vdpg: Design bearing strength of the bolt group
Vdsb: Design shear strength of a bolt
VdsbSPL: Design shear strength of a bolt in a splice connection
Vnpb: Nominal bearing strength of a bolt
Vnsb: Nominal shear capacity of a bolt
Vreqy: Minimum shear resistance in major axis
Ze: Elastic section modulus
Zp: Plastic section modulus
xmax: Maximum distance to the centre of gravity in the direction of the axial force
zmax: Maximum distance to the centre of gravity in the direction of the shear force
REFERENCES
[EC3-8] EN 1993-1-8 (2005) Eurocode 3. Code for design of steel structures: Design of
joints.
- The splice connection in AISC standards was showing some errors thus the Splice connection was designed in indian standards.
- A the related files are attached below