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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) 792 Worked examples Check 9 – Structural integrity – supported beam For tension Subject Chapter ref. No. 2 FIN PLATE CONNECTION Design code Made by DBM Sheet no. BS 5950 Checked by BD The basic requirement is that the tension capacity of the supported beam web must be greater than the tie force. Tension capacity of the beam web ≥ Tie force For tension the following checks should be considered: • net tension capacity • local tension capacity • bearing capacity Net tension capacity The net tension capacity of the beam’s web is given by the following expression: Pt = pyAe For the notched section A = K ( A - nD t) e e g h 26 17 4.6.1 where Ag is the gross area of the notched beam Ke = 1.2 (for S275 steel) 3.4.3 Dh = 22 mm n = 4 t = 7.6 mm Ag = 4868.7 mm 2 Ae = 1. 2( 4868. 9 - 4 ¥ 22 ¥ 7. 6) 2 = 5802. 4 mm > Ag 275 ¥ 4868. 7 Pt= kN 1000 = 1338. 9 kN 1338.9 kN > 75 kN Therefore the net tension capacity of the web is adequate.
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) Local tension capacity Worked examples 793 Subject Chapter ref. No. 2 FIN PLATE CONNECTION Design code Made by DBM Sheet no. BS 5950 Checked by BD This is tension failure through a group of bolt holes at a free edge. This consists of tension failure at the row of bolt holes accompanied by shear failure along a line from the end bolts to the free edge. The tension capacity is given by the following expression: P = 206 ( . p A )+ ( n-1) ( p-D ) t p t y v h y where Av is the shear area and is given by 09 . t e 2 p is the bolt pitch t is the web thickness D Ê h - ˆ Ë ¯ 2 ¥ [ 0. 6 ¥ 275 ¥ 0. 9 ¥ 7. 6 ¥ ( 40 - 22/ 2) ]+ ( 4 - 1) ( 80 - 22) ¥ 7. 6 ¥ 275 Pt = kN 1000 = 429. 1kN 429.1 kN > 75 kN Therefore the local tension capacity of the web is adequate. Bearing The basic requirement is that the bearing capacity of the beam web must be greater than the tie force. bearing capacity of the beam web ≥ tie force For a single line of bolts the bearing capacity of the beam web is given by the smaller of the following expressions: P bs = 1.5nkbsdtpbs but P bs £ 0.5nkbsetpbs 26 18 6.3.3.3
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