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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) 632 Worked examples The Steel Construction Institute Silwood Park, Ascot, Berks SL5 7QN Degree of shear connection Use two shear connectors per trough (i.e. 2 per 300 mm spacing) Resistance of shear connector: Subject Chapter ref. DESIGN OF SIMPLY SUPPORTED COMPOSITE BEAM From Table 21.4, characteristic strength = 100 kN Design strength = 0.8 ¥ 100 = 80 kN For lightweight concrete multiply by 0.9 Design strength (LWC) = 0.9 ¥ 80 = 72 kN Reduction factor for profile shape (equation 21.15) 085 . 150 ( 95 - 50) r = ¥ ¥ 2 50 50 Design code Made by RML Sheet no. BS 5950: Part 3 Checked by GWO 6000 Number of shear connectors in half span = = 150 Therefore use r = 0.8 for pairs of shear connectors as required in BS 5950: Part 3 Clause 5.4.7.2. Total resistance of shear connectors R q = 0.8 ¥ 72 ¥ 40 = 2304 kN As R q < Rs and Rq < Rc redesign beam for partial shear connection. = 162 . > 08 . 40 21 4
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) The Steel Construction Institute Silwood Park, Ascot, Berks SL5 7QN Worked examples 633 Subject Chapter ref. DESIGN OF SIMPLY SUPPORTED COMPOSITE BEAM Design code Made by RML Sheet no. BS 5950: Part 3 Checked by GWO Moment resistance of composite beam with partial shear connection (equation 21.11) Tensile resistance of web Rw = 8. 5 ¥ ( 453. 6 - 2 ¥ 12. 7) ¥ 355 ¥ 10 = 1292 kN As Rq > Rw , plastic neutral axis lies in steel flange M R D R D Rq Ds Dp Rs Rq T e = s + È ( - ) q s - ˘ ÎÍ R ˚˙ R - 2 ( - ) 2 2 4 (normally the final term can be ignored) Mc = ¥ ¥ + ¥ Ê - ¥ ˆ Ë ¯ kNm kNm ¥ 453. 6 3032 10 2 2304 80 2304 130 10 3240 2 = 2 ( 3032 - 2304) 12. 7 -3 - ¥ ¥ 10 ( 3032 - 1292) ¥ 0. 5 4 687. 6 + 234. 0 - 1. 9 = 919. 7 > 723. 6 Degree of shear connection provided K = R q/Rs = 2304/3032 = 0.76 Check possibility of providing fewer shear connections. Limit on degree of shear connection is: K ≥ L - 6 ; 10 but K ≥ 04 . For L = 12 m K ≥ 0. 6 -3 -3 One shear connector every trough (i.e. 300 mm spacing) corresponds to K = 0.47 < 0.6 which does not provide adequate shear connection. c -3 f 21 5
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