Anchorage capacity of one welded transverse bar following the EN Eurocode recommendation, F_btd

The recommended value for the anchorage capacity of one welded transverse bar (diameter 14 mm - 32 mm) is:

where:

Φ_t

is the diameter of transverse bar

σ_td

is the concrete stress; σ_td = (f_ctd + σ_cm)/y ≤ 3f_cd
with

f_cd

the design compressive strength of concrete, see § 3.1.6 (1)P

f_ctd

the design tensile strength of concrete, see § 3.1.6 (2)P

σ_cm

the compression in the concrete perpendicular to both bars (mean value, positive for compression)

y

is a function: y = 0,015 + 0,14⋅e^(-0,18x)
  where x = 2(c/Φ_t + 1)
   c  is the concrete cover perpendicular to both bars.

l_td

is the design length of transverse bar: l_td = 1,16Φ_t(f_yd/σ_td)^0,5 ≤ l_t
with

f_yd

the design yield strength of transverse bar, f_yd = f_yk/γ_S
see § 2.4.2.4 (1), § 2.4.2.4 (2) for the values of γ_S,
see § 3.2.2 (3)P for the uper limit of f_yk,
see Figure 3.8 for the design stress-strain diagrams of reinforcement steel

l_t

the length of transverse bar, but not more than the spacing of bars to be anchored.

F_wd

is the design shear strength of weld, F_wd = k_wA_s,lf_yd,l
with

k_w

a factor, for example k_w = 0,5

A_s,l

the cross-section of the anchored bar

f_yd,l

the design yield strength of the anchored bar.