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EUROCODE 2 WORKED EXAMPLES - Federbeton

EUROCODE 2 WORKED EXAMPLES - Federbeton

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EC2 – worked examples 6-16<br />

⎛ fck<br />

⎞<br />

⎜1- ⎟<br />

250 25<br />

σ 2Rd,max = k<br />

⎝ ⎠ ⎛ ⎞<br />

2 f cd = ⎜1-⎟14.17 = 12.75 N / mm<br />

0.85 ⎝ 250 ⎠<br />

nodes tensioned – compressed by anchor logs in different directions<br />

⎛ fck<br />

⎞<br />

⎜1- ⎟<br />

250<br />

25<br />

σ 3Rd,max = k<br />

⎝ ⎠ ⎛ ⎞<br />

3 f cd = 0.88 ⎜1-⎟14.17 = 11.22 N / mm<br />

0.85 ⎝ 250 ⎠<br />

Actions<br />

Distributed load: 150 kN/m upper surface and 150 kN/m lower surface<br />

Columns reaction<br />

R = (150+150)⋅5.40/2 = 810 kN<br />

Evaluation of stresses in lattice bars<br />

Equilibrium node 1 1<br />

Equilibrium node 3 3<br />

Table of Content<br />

ql<br />

C = = 405 kN<br />

2<br />

R<br />

2000<br />

C = = 966 kN (where α = arctg = 56.98°)<br />

senα<br />

1300<br />

T1 = C3<br />

cosα = 526 kN<br />

Equilibrium node 2 C2 = C3cosα = T1 = 526 kN<br />

Equilibrium node 4<br />

Tension rods<br />

T 2<br />

=<br />

q l<br />

2<br />

= 405 kN<br />

The tension rod T 1 requires a steel area not lower than:<br />

526000<br />

A 1344 mm<br />

391.,3<br />

2<br />

s1 ≥ = we use 6φ18 = 1524 mm 2 ,<br />

the reinforcement of the lower tension rod are located at the height of 0,12 h = 360 mm<br />

The tension rod T2 requires a steel area not lower than:<br />

405000<br />

A 1035 mm<br />

391.3<br />

2<br />

s1 ≥ = We use 4φ20 = 1257 mm 2<br />

2<br />

2

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