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This material is copyright - all rights reserved. Reproduced under licence from The Steel Construction Institute on 12/2/2007 To buy a hardcopy version of this document call 01344 872775 or go to http://shop.steelbiz.org/ Steel Designers' Manual - 6th Edition (2003) 780 Worked examples Subject Chapter ref. No. 2 FIN PLATE CONNECTION Design code Made by DBM Sheet no. BS 5950 Checked by BD Check 3a – plain end beams – strength of beam at net section This check is not necessary because the beam is notched. Check 3b – Shear and bending capacity of the supported beam For shear The basic requirement is that the shear capacity of the beam must be greater than the applied shear. Pv ≥ Fv For shear there are three checks to consider. These are: • shear of the gross section • shear of the net section • block shear Shear of the gross section The shear capacity of the gross section is given by: Pv = 0.6pyAv 4.2.3 py = 275 N/mm2 Av = Gross area of notched section at the bolt line. = (D - dc)t = (449.8 - 28) ¥ 7.6 mm 2 = 3206 mm2 0. 6 ¥ 275 ¥ 3206 \ Pv= kN 1000 = 529 kN Shear of the net section The shear capacity of the net section is given by: Pv = 0.7pyKeAv,net 6.2.3 Ke = 1.2 Av,net = Av - nDht = 3206 - 4 ¥ 22 ¥ 7.6 mm 2 = 2537 mm 2 26 5
This material is copyright - all rights reserved. Reproduced under licence from The Steel Construction Institute on 12/2/2007 To buy a hardcopy version of this document call 01344 872775 or go to http://shop.steelbiz.org/ Steel Designers' Manual - 6th Edition (2003) 0. 7 ¥ 275 ¥ 1. 2 ¥ 2537 Pv = kN 1000 = 586 kN Block shear Worked examples 781 Subject Chapter ref. No. 2 FIN PLATE CONNECTION Design code Made by DBM Sheet no. BS 5950 Checked by BD The block shear capacity of a notched beam is given by: P = 06 . p t[ L + K ( L - kD ) ] r y v e t h L v = e + (n - 1)p = 40 + (4 - 1) ¥ 80 = 280 mm 26 6 6.2.4 t = 7.6 mm 6.2.4 k = 0.5 3.4.3 Ke = 1.2 Lt = 40 mm Dh = 22 mm P r = 0.6 ¥ 275 ¥ 7.6[289 + 1.2 ¥ (40 - 0.5 ¥ 22)] = 394.8 kN Block shear gives the minimum shear capacity 394.8 kN > 110 kN Therefore the shear capacity is adequate.
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