Serviceability limit state - Eurocodes

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Deflection in case of incomplete interaction for single span beams G. Hanswille Univ.-Prof. Dr.-Ing. Institute for Steel and Composite Structures University of Wuppertal-Germany F concrete section composite section A co =A c /n o , J co = J c /n o n o =E a /E c w L w = 3 F L 48 Ea Ii,o ⎡ ⎢ ⎢1 + ⎢ ⎣ 12 α λ 2 − 48 α λ 3 q λ ⎤ sinh 2 ( ) 2 ⎥ sinh( λ) ⎥ ⎥ ⎦ steel section Aa , J a A io , J io 2 λ = 1+ α α β L β = Ea Ac,o Ai,o c s Aa L² w = 5 384 q E a L J 4 i,o ⎡ ⎢ ⎢1 + ⎢ ⎣ 48 5 α 1 λ 2 − 384 5 α 1 λ 4 λ ⎤ cosh( ) − 1 2 ⎥ λ ⎥ cosh( ) ⎥ 2 ⎦ α = Ja 1 Ji,o + Jc,o − 1 48
Mean values of stiffness of headed studs G. Hanswille Univ.-Prof. Dr.-Ing. Institute for Steel and Composite Structures University of Wuppertal-Germany c s spring constant per stud: spring constant of the shear connection: s C u D = P Rd CD n c s = e L t P type of shear connection C D [kN/ cm] P Rd e L n t =2 P P headed stud ∅ 19mm in solid slabs headed stud ∅ 22mm in solid slabs 2500 3000 s u c D s s headed studs ∅ 25mm in solid slab headed stud ∅ 19mm with Holorib-sheeting and one stud per rib 3500 1250 headed stud ∅ 22mm with Holorib-sheeting and one stud per rib 1500 49
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 and 40: 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: Differential equations in case of i
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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