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22 LIVE LOADS : ELASTIC ANALYSIS DEAD LOAD + CREEP + SHRINKAGE + PRESTRESSING + CONSTRUCTION PHASES: VISCOELASTIC ANALYSIS • The structure is not homogeneous from the rheological point of view: viscoelasticity theorems CAN NOT be used • step by step analysis with detailed time history: ε ( t c k t k ) = ∫ J ( t, τ ) dσ ( τ ) + ε cs ( tk ) ≈ t0 = i k ∑ 1 ⎧ ⎨ ⎩ 1 2 [ σ ( t ) −σ ( t )] ⋅ ⋅[ J ( t , t ) + J ( t , t )] ε ( t ) c i c ⎫ ⎬ ⎭ i− 1 k i k i−1 + cs k
23 Creep and relaxation functions used in phased analysis t + ∫ 0 J ( t, τ ) dσ ( τ t ε ( t) = σ ⋅ J ( t, t0) σ ( t) = ε ⋅ R( t, t0 t + ∫ 0 ) R( t, τ ) dε ( τ t 0 0 ) ) J ( t, t 0 ) = 1 ϕ ( t , t + E( t ) E 0 28 0 ) ϕ( t, t0) ≥ 0 R( t, t0) = E( t0) + E28 ⋅ ρ( t, t0) ρ( t, t0) ≤ 0
Page 1 and 2: 1 Prestressed composite box girder
Page 3 and 4: • Pont de la Corniche, France 3
Page 5 and 6: • Ginzan-Miyuki Bridge, Japan 5
Page 7 and 8: • Long span building structures (
Page 9 and 10: Verrieres bridge - France 9
Page 11 and 12: Gassino bridge - Torino - Italy 11
Page 13 and 14: Some theory stuff 13
Page 15 and 16: 15 Bending behaviour of corrugated
Page 17 and 18: 17 Shear behaviour of corrugated we
Page 19 and 20: 1/d 19 Shear behaviour of corrugate
Page 21: 21 Shear behaviour of corrugated we
Page 25 and 26: Construction procedure common to bo
Page 27 and 28: 27 Position Continuity support Mids
Page 29 and 30: Phase 1 - Positioning of steel box
Page 31: 31 Phase 4 - Internal prestressing
Page 34 and 35: 34 Phase 5 Repetition of previous o
Page 36 and 37: Phase 7 - External prestressing 36
Page 38 and 39: 38 Transversal truss stiffeners det
Page 40 and 41: 40 Hammers 1 and 3 Time steps Eleme
Page 42 and 43: 42 Bending moment diagrams during h
Page 54 and 55: 54 Bending moment diagrams: end of
Page 56 and 57: 56 Bending moment diagrams: permane
Page 58 and 59: 58 Bending moment diagrams: end of
Page 60 and 61: 60 Axial stress in concrete top sla
Page 62 and 63: 62 Axial stress in concrete bottom
Page 64 and 65: 64 Axial stress in steel top flange
Page 66 and 67: 66 Axial stress in steel bottom fla
Page 68 and 69: 68 Axial stress in concrete top sla
Page 70 and 71: 70 Axial stress in concrete bottom
Page 72 and 73:
72 Modeling of CORRUGATED WEBS
Page 74 and 75:
An analytical method to calculate t
Page 76 and 77:
76 An analytical method to calculat
Page 78 and 79:
Comparison of results between corru
Page 80 and 81:
80 Axial stress in concrete top sla
Page 82 and 83:
82 Axial stress in concrete bottom
Page 84 and 85:
84 Axial stress in steel top flange
Page 86 and 87:
86 Axial stress in steel bottom fla
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88 Cumbering design Displacements w
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100 Cumbering design Displacements
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Conclusions 124
Page 126 and 127:
126 Materials amount Flat webs Corr
Page 128 and 129:
128 Use of steel With corrugated we
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