m - ACES
m - ACES m - ACES
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 44 and 45: 44 Bending moment diagrams during h
- Page 46 and 47: 46 Bending moment diagrams during h
- Page 48 and 49: 48 Bending moment diagrams during h
- Page 50 and 51: 50 Bending moment diagrams during h
- Page 52 and 53: 52 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
22<br />
LIVE LOADS :<br />
ELASTIC ANALYSIS<br />
DEAD LOAD + CREEP + SHRINKAGE + PRESTRESSING +<br />
CONSTRUCTION PHASES:<br />
VISCOELASTIC ANALYSIS<br />
• The structure is not homogeneous from the rheological point of view:<br />
viscoelasticity theorems CAN NOT be used<br />
• step by step analysis with detailed time history:<br />
ε ( t<br />
c<br />
k<br />
t<br />
k<br />
) = ∫ J ( t,<br />
τ ) dσ<br />
( τ ) + ε<br />
cs<br />
( tk<br />
) ≈<br />
t0<br />
=<br />
i<br />
k<br />
∑<br />
1<br />
⎧<br />
⎨<br />
⎩<br />
1<br />
2<br />
[ σ ( t ) −σ<br />
( t )] ⋅ ⋅[ J ( t , t ) + J ( t , t )] ε ( t )<br />
c<br />
i<br />
c<br />
⎫<br />
⎬<br />
⎭<br />
i− 1<br />
k i k i−1<br />
+<br />
cs<br />
k
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