In this work the crack width in deep beams have been analysed using the finite. Modelling in Atena 2D and calculations according to Eurocode 2 in Concrete. Aug 1, 2018 - standard method in Eurocode 2 can be used to determine the minimum reinforcement and for. Estimating the crack spacing and crack width.

• • • • • Deflection More info • Related links • • • • • • • • • • • • • Deflection Eurocode 2 has two alternative methods for checking deflection. Either: • a limiting span-to-depth ratio may be used or • the theoretical deflection can be assessed using the expressions given in the Code The span-to-effective-depth (L/d) method In simple terms, the current EN1992 L/d method means verifying that: Allowable L/d = N x K x F1 x F2 x F3 ≥ actual L/d where N = basic span-to-effective-depth ratio derived for K = 1.0 and p'. From the formulae: if ρ 0 ≤ ρ N = L/ d = K[11 + 1.5 f ck 0.5 ρ 0/ ρ + 3.2 f ck 0.5( ρ 0/ ρ – 1) 1.5] or if ρ 0 > ρ N = L/ d = K[11 + 1.5 f ck 0.5 ρ 0/( ρ – ρ') + f ck 0.5( ρ'/ ρ 0) 0.5/12] For ρ’ =0, N may be determined from Figure 1 where L = span d = effective depth ρ 0 = f ck 0.5/1000 ρ = A s,req/bd ρ ’ = A s2/bd K = factor to account for structural system. See Table 1 F1 = factor to account for flanged sections.

When b eff/ b w = 1.0, factor F1 = 1.0. When b eff/ b w is greater than 3.0, factor F1 = 0.80. For values of b eff/ b w between 1.0 and 3.0, interpolation may be used. F2 = factor to account for brittle partitions in association with long spans. Generally F2 = 1.0 but if brittle partitions are liable to be damaged by excessive deflection, F2 should be determined as follows: a) in flat slabs in which the longer span is greater than 8.5 m, F2 = 8.5/ l eff b) in beams and other slabs with spans in excess of 7.0 m, F2 = 7.0/ l eff F3 = factor to account for service stress in tensile reinforcement = 310/s s 1,3a.

It is considered conservative to assume that 310/s s = 500 A s,prov/(f ykA s,req) where s s = tensile stress in reinforcement at mid-span (at support for cantilevers) under design load at SLS. Notes • In MC2010 this expression is given in Expression (7.6-23) as 250/s s = 500 A s,prov/(f ykA s,req) • Factors F1, F2 and F3 have been used here for convenience, they are not symbols used in EN1992-1-1. • According to the Notes to Table NA.5 of the UK NA, • the ratio, F3, is restricted to ≤ 1.5 where s s is calculated using the characteristic value of serviceability load. • Warnings are given that the values of K may not be appropriate when formwork is struck at an early age. • L/d may not exceed 40 K. Figure 7 Basic span-to-effective-depth ratios, N, for K = 1, ρ' = 0.

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