Example: End plate beam-to-column-flange simple connection (GB) CALCULATION SHEET Document Ref: SX012a-EN-GB Title Example: End plate beam-to-column-flange simple connection Eurocode Ref EN 1993-1-8, EN1993-1-1 Made by Laurent Narboux Date Dec 2006 Checked by Abdul Malik Date Jan 2007 Sheet 1 of Localized resource for UK Example: End plate beam-to-column-flange simple connection This example presents a method for calculating the shear resistance and tying resistance of a "Simple Joint" for an end plate beam-to-columnflange connection. The bolted connection uses non-preloaded bolts (i.e. Category A: Bearing type bolted connection). Created on Monday, March 22, 2010 This material is copyright - all rights reserved. Use of this document is subject to the terms and conditions of the Access Steel Licence Agreement NOTE: For completeness, all the design checks listed below should be carried out. However, in practice, for “normal” connections, the checks marked * will usually be the critical ones. In this example, only checks marked with an * are shown in detail. For other checks, reference should be made to the NCCIs for Shear resistance [SN014] and for Tying resistance [SN015]. Before evaluating resistances, checks are made to ensure sufficient ductility and to avoid premature weld. Joint Shear Resistance Table 1: Shear resistance of end plate connection Mode of failure Bolts in shear* End plate in bearing* Supporting member in bearing End plate in shear (gross section) End plate in shear (net section) End plate in shear (block shear) End plate in bending Beam web in shear* VRd,1 VRd,2 VRd,3 VRd,4 VRd,5 VRd,6 VRd,7 VRd,8 * Modes evaluated in the example (see Note above) The shear resistance of joint is the minimum of the above values. Joint Tying Resistance Table 2: Tying resistance of end plate connection Mode of failure Bolts in tension End plate in bending* Supporting member in bending Beam web in tension NRd,u,1 NRd,u,2 NRd,u,3 NRd,u,4 The tying resistance of joint is the minimum of the above values. 9 all rights reserved. Use of this document is subject to the terms and conditions of the Access Steel Licence Agreement UKC HEA 200 203x203x46 S235 p3 gv e 2. March 22. S275 Beam UKB 305×165×40. EN1993-1-1 Made by Laurent Narboux Date Dec 2006 Checked by Abdul Malik Date Jan 2007 Sheet 2 of End Plate Connection .8 50 45 a e1 hp a = 4 mm p1 230 p1 70 70 e1 45 mp 50 e2 n1 = number of horizontal rows of bolts n1 = 3 n2 = number of vertical lines of bolts n2 = 2 Main joint data Configuration Beam to column flange Column UKC 203×203×46. S275 Type of connection End plate connection using non-preloaded bolts Category A: Bearing type End plate 230 × 200 × 10. grade 8. 8.Details 10 IPE 300 UKB S235 305x165x40 Created on Monday.Example: End plate beam-to-column-flange simple connection (GB) CALCULATION SHEET Document Ref: SX012a-EN-GB Title Example: End plate beam-to-column-flange simple connection Eurocode Ref EN 1993-1-8.c 100 M20.8 51.8 Fillet welds Throat a = 4 mm 9 . 2010 This material is copyright . S275 Bolts M20. b1 = 275 N/mm2 Ultimate tensile strength fu. March 22.p = 275 N/mm2 Ultimate tensile strength fu.2 mm Width b = 203.c = 430 N/mm2 Supported Beam UKB 305×165×40.7 cm2 Second moment of area Iy = 4570 cm4 Depth between fillets dc = 160.c = 11. S275 Vertical gap gv = 35 mm Depth hp = 230 mm Width bp = 200 mm Thickness tp = 10 mm Yield strength fy.9 mm Area A = 51.2 mm Area A = 58.c = 7.0 mm Thickness of the flange tf.6 mm Corus Advance Thickness of the web tw.2 mm Fillet radius r = 8.p = 430 N/mm2 . 2010 This material is copyright . S275 BS4 Depth h = 203.2 mm Thickness of the flange tf.b1 = 6.all rights reserved.b1 = 10. S275 BS4 Depth h = 303.c = 275 N/mm2 Ultimate tensile strength fu.3 cm2 Second moment of area Iy = 8500 cm4 Yield strength fy. Use of this document is subject to the terms and conditions of the Access Steel Licence Agreement CALCULATION SHEET Document Ref: SX012a-EN-GB Title Example: End plate beam-to-column-flange simple connection Eurocode Ref EN 1993-1-8.Example: End plate beam-to-column-flange simple connection (GB) Created on Monday.0 mm Fillet radius r = 10. EN1993-1-1 Made by Laurent Narboux Date Dec 2006 Checked by Abdul Malik Date Jan 2007 Sheet 3 of 9 Column UKC 203×203×46.0 mm Corus Advance Thickness of the web tw.4 mm Width b = 165.8 mm Yield strength fy.b1 = 430 N/mm2 End plate 230 × 200 × 10. 8 mm Gauge (i. EN1993-1-1 Made by Laurent Narboux Date Dec 2006 Checked by Abdul Malik Date Jan 2007 Sheet Direction of load transfer (1) Number of horizontal bolt rows n1 =3 Plate edge to first bolt row el = 45 mm Pitch between bolt rows pl = 70 mm Number of vertical lines of bolts n2 =2 Plate edge to bolt line e2 = 50 mm Column edge to bolt line e2. 2010 This material is copyright . 8.u = 1. distance between cross centers) p3 = 100 mm Total number of bolts ( n = n1 × n2 ) n =6 Tensile stress area As = 245 mm2 Diameter of the shank d = 20 mm Diameter of the holes do = 22 mm Diameter of the washer dw =37 mm Yield strength fyb = 640 N/mm2 Ultimate tensile strength fub = 800 N/mm2 a = 4 mm Direction perpendicular to load transfer (2) Created on Monday.e.all rights reserved.0 γM2 = 1. Use of this document is subject to the terms and conditions of the Access Steel Licence Agreement Bolts M20.1 (for tying resistance at ULS) Design shear force (at ULS) VEd = 180 kN 4 of 9 .25 (for shear resistance at ULS) γM.c = 51.Example: End plate beam-to-column-flange simple connection (GB) CALCULATION SHEET Document Ref: SX012a-EN-GB Title Example: End plate beam-to-column-flange simple connection Eurocode Ref EN 1993-1-8. March 22.8 Welds Throat thickness of the weld Partial safety factors γM0 = 1. 8 275 Created on Monday.p SN014 or t f. so the requirement is the following: a ≥ 0.18 mm. Joint Shear Resistance Bolts in shear VRd. 2010 This material is copyright . the ductility is ensured.c ≤ d f ub 2.34 mm.6 × 800 × 245 × 10 −3 = 94.34 mm a = 4 mm Since a > 2.c d f ub 20 800 = = 12.8nFv.all rights reserved. therefore OK.25 for shear resistance αv = 0. therefore the connection should comply with the following conditions: tp ≤ d f ub 2.39 × 6 = 2.6 for grade 8. Fv.1 kN 1.Example: End plate beam-to-column-flange simple connection (GB) CALCULATION SHEET Document Ref: SX012a-EN-GB Title Example: End plate beam-to-column-flange simple connection Eurocode Ref EN 1993-1-8.Rd = 0.8 f y. Weld Design SN014 The supported beam is steel grade S275. Use of this document is subject to the terms and conditions of the Access Steel Licence Agreement t p = 10 mm Since tp<12.39 t w.b1 0.8 f y.18 mm 2.8 f y.p 2. EN1993-1-1 Made by Laurent Narboux Date Dec 2006 Checked by Abdul Malik Date Jan 2007 Sheet 5 of 9 Ductility Requirements The supporting element is a column flange.Rd is given by: Fv.8 bolts A = As = 245 mm2 ∴ Fv. March 22.Rd SN014 The shear resistance of a single bolt.1 = 0.Rd = α v f ub A γ M2 where: γM2 = 1.25 EN1993-1-8 Table 3.4 . Rd = k1α b f u.0) = 0.5 ⎟⎟ do ⎝ ⎠ k1 2. 1 . 2.7 .22 .7 kN End plate in bearing VRd. 2010 This material is copyright . 1. Rd SN014 The bearing resistance of a single bolt.1 = 0.81 3d o 4 3 × 22 4 f ub 800 = = 2.Rd is given by: Fb. Fb.2 = nFb.7 = 4. 2.Rd = VRd.all rights reserved. Use of this document is subject to the terms and conditions of the Access Steel Licence Agreement αb p1 1 − . March 22. 0.5) = 2.8 × 50 − 1.p 360 ∴ αb ⎛ ⎞ e = min ⎜⎜ 2.2 2.68 .68 × 430 × 20 × 10 × 10 −3 = 117 kN 1. EN1993-1-1 Made by Laurent Narboux Date Dec 2006 Checked by Abdul Malik Date Jan 2007 Sheet 6 of 9 ∴ VRd.Example: End plate beam-to-column-flange simple connection (GB) CALCULATION SHEET Document Ref: SX012a-EN-GB Title Example: End plate beam-to-column-flange simple connection Eurocode Ref EN 1993-1-8. 2.81 .66 . p d t p EN1993-1-8 Table 3. 3d o 4 ⎞ f ub .68 e2 2.22 f u.5 × 0.68 3d o 3 × 22 p1 1 70 1 − = − = 0.8 = min(0.66 do 22 ∴ k1 = min (4.25 = 6 × 117 = 702 kN .0 ⎟ ⎟ f u.8 2 − 1.8 × 6 × 94.5 ∴ Fb.7 = − 1.p ⎠ e1 45 = = 0.4 γ M2 where: ⎛ e = min ⎜ 1 .1 = 451. ⎜ 3d ⎝ o Created on Monday. u.2 The bending resistance for mode 2 failure.b1 = Av VRd.b1 − 2 × 0.ep1 = FT.ep1 is given by: FRd.1 mm ∴ n p = min (50 .c . Rd = 2M pl.b1 = 0.u. u.25m p ( e2 = 50 mm e2. March 22.2. Rd.5 mm 2 2 1. Rd = (8np − 2ew )M pl. ep2 ) EN1993-1-8 Table 6. Created on Monday.b1 3 γ M0 = 0.2 The bending resistance for mode 1 failure.2 FRd. 51 . u.8 × a × 2 100 − 6 − 2 × 0.ep2 is given by: FRd.25m p = 1.u. 10 ) = 50 mm .0 SN015 Joint Tying Resistance End plate in bending ( = min FRd. 53 .2.Example: End plate beam-to-column-flange simple connection (GB) CALCULATION SHEET Document Ref: SX012a-EN-GB Title Example: End plate beam-to-column-flange simple connection Eurocode Ref EN 1993-1-8.all rights reserved.u 2mp np − ew (mp + np ) EN1993-1-8 Table 6. FRd.8 3 γ M0 f y.8 mm mp = (p 3 ) 0.ep2 = FT. EN1993-1-1 Made by Laurent Narboux Date Dec 2006 Checked by Abdul Malik Date Jan 2007 Sheet 7 9 of Beam web in shear SN014 f y. 1.2 kN 3 × 1.9 × 230 × 6 × VRd.25 × 42. FRd.1.c = 51.5 = 53.8 a√2 mp a tp p3 ) ( ) − t w. Use of this document is subject to the terms and conditions of the Access Steel Licence Agreement N Rd. ep1 . 2010 This material is copyright .1.8 × 4 × 2 = = 42.9 h p t w.b1 ew = np = min e2 .25 mm 4 4 tw. e2.Rd.u.8 275 × 10 −3 = 197. u. u mp + np d w 37 = = 9.Rd. u + np ∑ Ft. 25) × 2.u 4 1.4 kN 1 .1 (8 × 50 − 2 × 9.u = 2.5 + 50 ) Mode 2: M pl.u = 0.25 kNm Ft.u.25 ×103 = 253 kN 2 × 42.u. EN1993-1-1 Made by Laurent Narboux Date Dec 2006 Checked by Abdul Malik Date Jan 2007 Sheet 8 Mode 1: = M pl. of 9 .25 × 103 + 50 × 962.u = γ M.1 ∑F t.ep1 = 2 1 h p t p f u. 2010 This material is copyright .9 × 800 × 245 × 10 −3 = 160.u = 0.e.ep2 = 2 × 2.u.2.4 = 569 kN 42.Rd.Rd.Rd.5 + 50 N Rd. The governing value (i. Calculation of the values given in shaded boxes is not presented in this worked example.4 = 962 kN n is total number of bolts ∴ FRd.p 1 230 × 10 2 × 430 = × × 10 −6 = 2. 569) = 253 kN Summary The following tables summarize the resistance values for all the applicable modes of failure.all rights reserved. the minimum value) for each of the shear and tying resistances is shown in bold type.u ∴ FRd.Rd.u = nFt.2 = min(253.25 × (42.9 k2 Created on Monday.u = 6 ×160.Rd. March 22.u = M pl.1.5 × 50 − 9. Use of this document is subject to the terms and conditions of the Access Steel Licence Agreement k 2 f ub As ∴ Ft.Rd.Example: End plate beam-to-column-flange simple connection (GB) CALCULATION SHEET Document Ref: SX012a-EN-GB Title Example: End plate beam-to-column-flange simple connection Eurocode Ref EN 1993-1-8.1.25 kNm 4 γ M.Rd. The design tying resistance of the end plate connection is: N Rd. 2010 This material is copyright .u. Use of this document is subject to the terms and conditions of the Access Steel Licence Agreement Mode of failure Sheet 9 of Joint shear resistance Bolts in shear VRd.u.4 575 kN End plate in shear (net section) VRd. EN1993-1-1 Made by Laurent Narboux Date Dec 2006 Checked by Abdul Malik Date Jan 2007 Created on Monday. Mode of failure Joint tying resistance Bolts in tension NRd.2 = 253 kN 9 .8 197 kN The design shear resistance of the end plate connection is VRd = VRd.6 716 kN End plate in bending VRd.u.Example: End plate beam-to-column-flange simple connection (GB) CALCULATION SHEET Document Ref: SX012a-EN-GB Title Example: End plate beam-to-column-flange simple connection Eurocode Ref EN 1993-1-8.8 therefore the shear resistance of the connection is satisfactory.2 253 kN Supporting member in bending NRd.2 702 kN Supporting member in bearing VRd.1 452 kN End plate in bearing VRd.u = N Rd.4 539 kN Note: if column flange thickness is less than the end plate thickness. March 22. then the column flange should be checked for bending.3 919 kN End plate in shear (gross section) VRd.u. VEd = 180 kN < VRd.u.7 ∞ Beam web in shear VRd.8 = 197 kN Design shear force.5 651 kN End plate in shear (block shear) VRd.all rights reserved.1 962 kN End plate in bending NRd.3 N/A Beam web in tension NRd. March 22.all rights reserved. Use of this document is subject to the terms and conditions of the Access Steel Licence Agreement LOCALISED RESOURCE DOCUMENT Name Company Date Created by Laurent Narboux SCI Dec 2006 Technical content checked by Abdul Malik SCI Jan 2007 Editorial content checked by D C Iles SCI 19/2/07 . 2010 This material is copyright .Example: End plate beam-to-column-flange simple connection (GB) Example: End plate beam-to-column-flange simple connection SX012a-EN-GB Quality Record RESOURCE TITLE Example: End plate beam-to-column-flange simple connection Reference SX012a-EN-GB Created on Monday.
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