Serviceability limit state - Eurocodes

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Determination of stresses in composite sections with bonded tendons G. Hanswille Univ.-Prof. Dr.-Ing. Institute for Steel and Composite Structures University of Wuppertal-Germany A p A s -z st,s σ s, σ p M Ed Stresses σ * s in reinforcement at the crack location neglecting different bond behaviour of reinforcement and tendons: z st Stresses in reinforcement taking into account the different bond behaviour: σ * s M = J Ed st z st,s f + β ρ ctm tot α st Ast Jst αst = β =0, 4 A J a a σ s Δσ = σ p * s = σ + 0,4 f * s ct,eff − 0,4 f ⎡ ⎢ ⎢ ⎣ A ct,eff s A + ξ c 2 1 A p ⎡ A ⎢ c ⎢ A + ⎣ s A p − Ac A + A − A s s ξ 2 1 A + ξ p c 2 1 A ⎤ ⎥ ⎥ ⎦ p = σ * s ⎤ ⎥ = σ ⎥ ⎦ + 0,4 f * s − 0,4 f ct,eff ct,eff ⎡ 1 ⎢ ⎣ρ eff ⎡ 1 ⎢ ⎢⎣ ρ tot 1 − ρ tot ξ − ρ 2 1 eff ⎤ ⎥ ⎦ ⎤ ⎥ ⎥⎦ ρ ρ tot eff = = A A s A s + A c + ξ A 2 1 c p A p 40
G. Hanswille Univ.-Prof. Dr.-Ing. Institute for Steel and Composite Structures University of Wuppertal-Germany Part 4: Deformations 41
Page 1 and 2: G. Hanswille Univ.-Prof. Dr.-Ing. I
Page 3 and 4: Serviceability limit states G. Hans
Page 7 and 8: Shear lag- effective width G. Hansw
Page 9 and 10: Effects of creep of concrete G. Han
Page 11 and 12: Modular ratios taking into account
Page 13 and 14: Effects of cracking of concrete and
Page 15 and 16: Redistribution of sectional forces
Page 19 and 20: Effects of cracking of concrete - s
Page 21 and 22: Control of cracking G. Hanswille Un
Page 23 and 24: Exposure classes according to EN 19
Page 25 and 26: N s ε Cracking of concrete - intro
Page 27 and 28: N s Determination of initial crack
Page 29 and 30: Crack width for stabilised crack fo
Page 31 and 32: Crack width and crack spacing accor
Page 33 and 34: Simplified solution for the crackin
Page 35 and 36: Control of cracking due to direct l
Page 37 and 38: Direct calculation of crack width w
Page 39: Stresses in reinforcement for final
Page 43 and 44: Deformations and pre-cambering G. H
Page 45 and 46: More accurate method for the determ
Page 47 and 48: Differential equations in case of i
Page 49 and 50: Mean values of stiffness of headed
Page 51 and 52: Comparison of the exact method with
Page 53 and 54: Deflection in case of incomplete in
Page 55 and 56: Limitation of Stresses G. Hanswille
Page 57 and 58: Local effects of concentrated longi
Page 59 and 60: Serviceability limit state - longit
Page 61 and 62: Vibration- General G. Hanswille Uni
Page 63 and 64: Vibration - Example vertical vibrat
Page 65 and 66: Vibration - vertical vibrations due
Page 67 and 68: Vibration -vertical vibrations due

Serviceability limit state - Eurocodes

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