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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) 782 Worked examples Shear and bending interaction at the notch 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 moment capacity at the notch in the presence of shear must be greater than the moment from the product of the end reaction and the distance to the end of the notch. M ≥ F ( t + c) cn v t1 is the gap c is the notch length Check for low shear Fv £ 0.75Pv from previous calculation 4.2.5.4 Pv = 394.8 kN \ 0.75Pv = 296.1 kN 110 kN < 296.1 kN \ section is subject to low shear M CN = pyZ 1 py = 275 N/mm 2 4.2.5.4 Z = elastic section modulus of the residual tee-section at the notch Z = 373 mm 3 3 275 ¥ 373 ¥ 10 \ MCN = kNm 6 10 = 102. 6 kNm 110 ¥ ( 10 + 110) Applied moment = kNm 3 10 = 13. 2 kNm 102.6 kNm > 13.2 kNm Therefore the moment capacity of the notched beam is adequate. 26 7
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) Worked examples 783 Subject Chapter ref. No. 2 FIN PLATE CONNECTION Design code Made by DBM Sheet no. BS 5950 Checked by BD Check 3c – Supported beam – local stability of notched beam The beam is restrained against lateral torsional buckling, therefore no account need be taken of notch stability provided for one flange notched the following requirement is satisfied: c = 120 mm D = 449.8 mm tw = 7.6 mm for D t D c for Dt D 449. 8 = = 59. 2 w 76 . 160000 £ > ( S ) 3 54. 3 275 ( / w ) tw 160000D 160000 ¥ 449. 8 3 = 3 = 346. 8 mm ( Dt / ) ( 449. 8/ 7. 6) w 120 mm < 346.8 mm Check 3d – Unrestrained supported beam overall stability of notched beam The notched beam is restrained therefore the overall stability of the beam need not be checked. 26 8
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