EUROCODE 2 WORKED EXAMPLES - Federbeton

EC2 – worked examples 6-13
Table of Content
Fig. 6.4. V-T interaction diagram for highly stressed section
The diagram is shown in Fig. 6.4. Points below the straight line that connects the resistance
values on the two axis represent safety situations. For instance, if VEd = 350 kN is taken, it
results that the maximum compatible torsion moment is 20 kNm.
On the figure other diagrams in relation with different θ values are shown as dotted lines.
Second case: light action effects
Same section and materials as in the previous case. The safety condition (absence of
cracking) is expressed by:
TEd /TRd,c + VEd /VRd,c ≤ 1 [(6.31)-EC2]
where TRd,c is the value of the torsion cracking moment:
τ = fctd = fctk /γc = 2.0/1.5 = 1.3 MPa (fctk deducted from Table [3.1-EC2]). It results
therefore:
TRd,c = fctd⋅ t⋅2Ak = 1.3⋅94⋅2⋅83636 = 20.4 kNm
1/3
⎡C⋅ ⋅ ρ ⎤⋅
⎣ Rd,c k 100 lfck b
⎦ wd
VRd,c = ( )
In this expression, ρ = 0.01; moreover, it results:
CRd,c = 0.18/1.5 = 0.12
200
k = 1+ = 1.63
500
( 100ρ f ) = ( 100⋅0.01⋅ 30) = ( 30
)
l ck
1/3 1/3 1/3