EUROCODE 2 WORKED EXAMPLES - Federbeton

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EC2 – worked examples 6-2 MRd3 must also be known. This results: MRd3 = 6460·(500 – 0,4·950) ·10 -3 = 1655 kNm Subsequently, for a chosen value of NEd in each interval between two following values of NRd written above and one smaller than NRd1, the neutral axis x, MRd, and the eccentricity MRd e = N are calculated. Their values are shown in Table 6.2. Ed Table of Content Table 6.2. Example 1: values of axial force, depth of neutral axis, moment resistance, eccentricity. NEd (kN) X (m) MRd (kNm) e (m) 600 0,105 2031 3.38 2000 0,294 2524 1.26 5000 0,666 2606 0.52 10000 virtual neutral axis 1000 0.10 As an example the calculation related to NEd = 5000 kN is shown. The equation of equilibrium to shifting for determination of x is written: 2 ⎛5000000 −5000⋅391−5000⋅0.0035⋅200000 ⋅5000 ⎞ ⎛0.0035⋅200000⋅5000⋅950 ⎞ x −⎜ ⎟x− ⎜ ⎟= 0 ⎝ 0.80 ⋅500 ⋅17 ⎠ ⎝ 0.80 ⋅500 ⋅17 ⎠ Developing, it results: x 2 + 66.91x – 488970 = 0 which is satisfied for x = 666 mm ⎛950 ⎞ 2 The stress in the lower reinforcement is: σ s = 0.0035⋅200000⋅⎜ − 1⎟= 297N/ mm ⎝666 ⎠ The moment resistance is: MRd = 5000·391·(500-50) + 5000·297·(500-50) + 0.80·666·500·17·(500 – 0.40 666) = 2606·10 6 Nmm = 2606 kNm 2606 and the eccentricity e = = 0,52m 5000
EC2 – worked examples 6-3 EXAMPLE 6.2 (Concrete C90/105) [EC2 clause 6.1] For geometrical and mechanical data refer to example 6.1. Values of NRd corresponding to the 4 configurations of the plane section and of MRd3: NRd1 = 2899 kN NRd2 = 7732 kN. MRd,max = 6948.7 kNm is associated to it. NRd3 = 13566 + 3910 = 17476 kN NRd4 = 14280 + 7820 = 22100 kN MRd3 = 13566 (0.5 – 0.35·0.619) + 3910·(0.50- 0.05) = 4031 kNm Applying the explained procedure x, MRd and the eccentricity e were calculated for the chosen values of NEd . The results are shown in Table 6.3 Table of Content Table 6.3 Values of axial load, depth of neutral axis, moment resistance, eccentricity NEd (kN) x (m) MRd (kNm) e (m) 1500 0,142 4194 2.80 5000 0,350 5403 1.08 10000 0,619 5514 0.55 19000 virtual neutral axis 2702 0.14
Page 1: EUROCODE 2 WORKED EXAMPLES
Page 4: Copyright: European Concrete Platfo
Page 8 and 9: Foreword to Commentary to Eurocode
Page 10 and 11: EC2 - worked examples summary EXAMP
Page 12 and 13: EC2 - worked examples 2-2 EXAMPLE 2
Page 16 and 17: EC2 - worked examples 2-6 Set B (ve
Page 18 and 19: EC2 - worked examples 2-8 Table of
Page 20 and 21: 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 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
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EC2 - worked examples 6-52 Table of
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EC2 - worked examples 6-54 6.15.3 C
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EC2 - worked examples 6-56 σ 22,b
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EC2 - worked examples 6-64 n1 , n2
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EC2 - worked examples 7-2 and then
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EC2 - worked examples 7-4 y = 395mm
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EC2 - worked examples 7-6 A = 0.002
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EC2 - worked examples 7-8 EXAMPLE 7
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EC2 - worked examples 7-10 EXAMPLE
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EC2 - worked examples 7-12 * * ⎡1
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EC2 - worked examples 7-14 σ s (2/
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EC2 - worked examples 7-16 0.1687
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EC2 - worked examples 7-18 EXAMPLE
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EC2 - worked examples 7-20 1⎡ λ
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EUROCODE 2 WORKED EXAMPLES - Federbeton

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