Free Tool · EN 1994-1-1 §6.6

Shear Stud Design Calculator

Design headed shear studs for composite beams to EN 1994-1-1 §6.6. Computes PRd per Eq 6.18/6.19 (steel + concrete failure), profiled deck reduction kt/kl (§6.6.4 Table 6.2), minimum ηmin (§6.6.1.2 Eq 6.13), required stud count and spacing.

Inputs

Steel Beam

Concrete Slab

Stud Geometry

Design

P_Rd per stud
81.66 kN
Deck reduction k_t
1.00
Studs per shear span
17
Calculated spacing s
235 mm

Half-span beam elevation — stud layout

½ span — stud positions slab beam
1. Stud resistance P_Rd — §6.6.3 Eq 6.18/6.19 ▼
α1
P_Rd,1 (shank Eq 6.18)81.66 kN
P_Rd,2 (concrete Eq 6.19)83.13 kN
P_Rd (governs)81.66 kN
2. Profiled deck reduction k_t / k_l — §6.6.4 ▼
Slab typeSolid — k = 1.00 (no reduction)
3. Minimum shear connection η_min — §6.6.1.2 Eq 6.13 ▼
η_min (Eq 6.13)0.49
Note§6.6.1.2 L=8m, fy=355 MPa
N_cf (kN)2720
4. Stud count and longitudinal spacing ▼
Studs per shear span17
Total studs (both spans)34
s (mm)235
s_min (mm)95
s_max (mm)480
Spacing PASS
5. Geometry checks — §6.6.5.5 ▼
CheckValueLimitUtilResult
h_sc ≥ 3d 100 57 PASS

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Composite beam full design — M_pl,Rd + deflection (EN 1994-1-1) Endplate moment connection (EN 1993-1-8 §6.2) Steel section properties (EN 10365) Beam moment capacity (EN 1993-1-1 §6.2.5)

FAQ — EN 1994-1-1 §6.6 Shear Stud Design

How is P_Rd calculated for a headed shear stud to EN 1994-1-1? ▼
EN 1994-1-1 §6.6.3.1 gives two equations: Eq 6.18 (shank failure) P_Rd1 = 0.8·f_u·(π·d²/4)/γ_V; Eq 6.19 (concrete failure) P_Rd2 = 0.29·α·d²·√(f_ck·E_cm)/γ_V. P_Rd = min(P_Rd1, P_Rd2). α=1.0 when h_sc/d ≥ 4; otherwise α=0.2(h_sc/d+1). γ_V=1.25.
What is the deck reduction factor k_t for profiled steel sheeting? ▼
For ribs perpendicular to the beam (§6.6.4.2 Eq 6.22): k_t = (0.7/√n_r)·(b_0/h_p)·(h_sc/h_p−1) ≤ k_t,max. k_t,max from Table 6.2: 0.85 (n_r=1, h_p≤60mm), 0.70 (n_r=1, h_p>60mm or n_r=2, h_p≤60mm), 0.55 (n_r=2, h_p>60mm). For ribs parallel to beam (Eq 6.21): k_l = 0.6·(b_0/h_p)·(h_sc/h_p−1) ≤ 1.0.
What is the minimum degree of shear connection η_min? ▼
For simply supported composite beams with L≤25m and S235–S460 steel: η_min = 1−(355/f_y)·(0.75−0.03·L) ≥ 0.4 (§6.6.1.2 Eq 6.13). For L>25m: η_min=1.0. Example: S355, L=8m → η_min = 1−(1.0)·(0.75−0.24) = 0.51.
What are the stud spacing limits under EN 1994-1-1 §6.6.5.5? ▼
Minimum longitudinal spacing: s ≥ 5d (centre-to-centre). Maximum longitudinal spacing: ≤ min(6·h_c, 800mm) for solid slabs. Minimum transverse spacing (solid): 2.5d. For profiled decking: one stud per rib or two studs per rib per §6.6.5.3.