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Workshop on Cracking and Durability of Reinforced Concrete. Concerning the Serviceability Limit State. Starting points of structural analysis. Analysis in ULS and SLS: - main concern safety; - durability of minor concern. According to code VBB 1995: - dead weight = 1,5;
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Workshop on Cracking and Durability of Reinforced Concrete Concerning the Serviceability Limit State J.M. Zwarthoed
J.M. Zwarthoed Starting points of structural analysis • Analysis in ULS and SLS: - main concern safety; - durability of minor concern. • According to code VBB 1995: - dead weight = 1,5; - traffic loading = 1,5. • According to code NAD ENV 1991-3: - dead weight = 1,35; - traffic loading = 1,42; - with the actual traffic lane subdivision; - with reduction of structure service life.
J.M. Zwarthoed Requirements SLS - NEN 6720 • For all structures important crack width! • Maximum permissible crack width depends on environmental exposure conditions: - humid (outside): wmax = 0,3 mm; - aggressive (outside&salt): wmax = 0,2 mm; - in case of pre-stressing: wmax = 0,1 mm.
J.M. Zwarthoed Possible locations with regard to exceeding maximum crack width (1) 3 1 2 4
J.M. Zwarthoed Possible locations with regard to exceeding maximum crack width (2) 7 8 5 9 10 6 11 12 13
J.M. Zwarthoed Analyses crack width calculations reinforced concrete slab • five different calculation methods • concrete slab: K300 (C20/B25), CEM I • rebars: 16-200 QR40 fs = 329 N/mm2 (FeB 400) hot rolled steel • cracked section • crack width during and after completion of crack development phase
J.M. Zwarthoed Comparison result calculations appr. region of steelstresses SLS
J.M. Zwarthoed Crack width calculation pre-stressed concrete slab • concrete bridge deck: B37,5 (C30/37) CEM I • rebars: 12-250 FeB 400 hot rolled steek • pre-stressing: 35·1182 mm2 FeP 1860 • Md/Mu = 21988/23145= 0,95 [kNm/kNm] • Mrep = 14659 kNm
J.M. Zwarthoed Result calculations • bridge deck meets all requirements ULS except fatigue, meets none with regard to SLS • assumption: no imposed deformations • during stage of development crack pattern wmax = 0,4 mm • in case of fully developed crack pattern wmax = 0,32 mm
J.M. Zwarthoed Conclusions (1) The first main problem is: • insufficient transversal rebar reinforcement in decks causing cracks according to model 1, 2, 5 and 13 with wmax 0,2-0,4 mm.
J.M. Zwarthoed Conclusions (2) The second main problem is: • insufficient longitudinal rebar reinforcement in combination with main pre-stressing reinforcement causing cracks according to model 6, and 7 with wmax 0,5 mm; • insufficient longitudinal rebar reinforcement causing cracks according to model 11 and 12 with wmax 0,2-0,4 mm.
J.M. Zwarthoed Note! One has to keep in mind the following aspects: • We assume the calculated crack width according to NEN 3880 as an upper limit. • Calculations bases on the 28th-day concrete strength. • Did the actual SLS loading occur?