EUROCODE 2 WORKED EXAMPLES - Federbeton

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EC2 – worked examples 6-44 single column fixed at the base and free at his top, so that the relevant Kx/y stiffness is valuable as: EI Kx/y = H 3 3 where E is the Young modulus, I the inertia and H the height of the column. For the vertical direction, the intrinsic stiffness of pot-bearing is assumed, considering the substructure vertical behaviour as rigid. For the sake of simplicity the calculus of the relevant stiffness is omitted and the final values of the spring constants are reported in table 6.6 . Location Kx,tot 10 Ky,tot Kz,tot 6 kN/m 10 6 kN/m 10 6 � � � kN/m Abutment A 9.55 178.80 10.02 Pier P1 4.74 11.61 Pier P2 2.66 11.61 Abutment B 2.78 10.02 Table 6.6 Stiffness for restraining elements It can be noticed that the previous values are referred to the overall stiffness of the restraint, thus the elastic constant of any individual spring element may be obtained dividing the K values of table 6.6 by the number of element representing the restraint or the supports. Prestressing forces Two orders of prestressing tendons are arranged (in longitudinal and transverse directions) in order to avoid any tensile stress in concrete at service (required by railway code). The initial tensile stress of tendon is: σpo,max = 0.85 fp 0.1k = 0.85 × 1600 = 1360 MPa. The number of tendons is 39 for the longitudinal direction and 64 for the transverse one. Each tendon is built up with 19 strands φ 0.6” having an area of 1.39 cm 2 . Fig. 6.35 reports tendon’s layout for half deck, being symmetrically disposed. Table of Content
EC2 – worked examples 6-45 Table of Content Fig. 6.35 Plan and principal section of tendon layout Immediate losses of prestressing due to friction have been evaluated by means of the following expression: with: -μ�(α + k x) σpo (x) = σpo,max ⋅ e μ = 0.19 coefficient of friction between the tendons and their sheathing; k = 0.01 rad/m unintentional angular deviation. Prestressing has to be introduced in the FEM model in order to calculated the hyperstatic actions that arise in the structural scheme. Considering prestressing as an external load, it is possible to introduce it by means of two inclined forces at anchorages (representing actions at the extremity) and of a system of equivalent loads along tendon’s profile (representing tendon curvature and losses due to friction): these actions per tendon, should be applied consistently at the nodes of FEM model. The equivalent loads may be calculated subdividing the tendon profile into elementary segments and evaluating the internal action able to equilibrate the external one due to end actions deriving by the prestressing.
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EUROCODE 2 WORKED EXAMPLES
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Copyright: European Concrete Platfo
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Foreword to Commentary to Eurocode
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EC2 - worked examples summary EXAMP
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EC2 - worked examples 2-2 EXAMPLE 2
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EC2 - worked examples 2-4 EXAMPLE 2
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EC2 - worked examples 2-6 Set B (ve
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EC2 - worked examples 2-8 Table of
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EC2 - worked examples 2-10 Verifica
Page 22 and 23: EC2 - worked examples 2-12 Table 2.
Page 24 and 25: EC2 - Worked examples 4-2 Moreover:
Page 26 and 27: EC2 - Worked examples 4-4 EXAMPLE 4
Page 28 and 29: EC2 - Worked examples 4-6 We have:
Page 30 and 31: EC2 - worked examples 6-2 MRd3 must
Page 32 and 33: EC2 - worked examples 6-4 EXAMPLE 6
Page 34 and 35: EC2 - worked examples 6-6 Determina
Page 36 and 37: EC2 - worked examples 6-8 • VEd =
Page 38 and 39: EC2 - worked examples 6-10 EXAMPLE
Page 42 and 43: EC2 - worked examples 6-14 Taking d
Page 44 and 45: EC2 - worked examples 6-16 ⎛ fck
Page 48 and 49: EC2 - worked examples 6-20 Fig. 6.1
Page 50 and 51: EC2 - worked examples 6-22 Assumed
Page 54 and 55: EC2 - worked examples 6-26 (applied
Page 58 and 59: EC2 - worked examples 6-30 θ 11 =
Page 62 and 63: EC2 - worked examples 6-34 Identifi
Page 64 and 65: EC2 - worked examples 6-36 Loading
Page 70 and 71: EC2 - worked examples 6-42 6.15.2 S
Page 74 and 75: EC2 - worked examples 6-46 Table of
Page 78 and 79: EC2 - worked examples 6-50 where φ
Page 82 and 83: EC2 - worked examples 6-54 6.15.3 C
Page 84 and 85: EC2 - worked examples 6-56 σ 22,b
Page 88 and 89: EC2 - worked examples 6-60 procedur
Page 92 and 93: EC2 - worked examples 6-64 n1 , n2
Page 96 and 97: EC2 - worked examples 7-2 and then
Page 98 and 99: EC2 - worked examples 7-4 y = 395mm
Page 100 and 101: EC2 - worked examples 7-6 A = 0.002
Page 102 and 103: EC2 - worked examples 7-8 EXAMPLE 7
Page 106 and 107: EC2 - worked examples 7-12 * * ⎡1
Page 108 and 109: EC2 - worked examples 7-14 σ s (2/
Page 110 and 111: EC2 - worked examples 7-16 0.1687
Page 114 and 115: EC2 - worked examples 7-20 1⎡ λ
Page 120: EC2 - worked examples 11-4 Table of
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EUROCODE 2 WORKED EXAMPLES - Federbeton

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