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Stair flight spanning between landings
Loads on plan of a stair flight, moment and steel per metre width. Reference: EN 1991-1-1; EN 1992-1-1 6.1.
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# Materials
f_ck := 30 MPa
f_yk := 500 MPa
gamma_c := 1.5
gamma_s := 1.15
alpha_cc := 1.0
f_cd := alpha_cc*f_ck/gamma_c =
f_yd := f_yk/gamma_s =
# Geometry and loads
R := 175 mm
G := 250 mm
h := 175 mm
d := 145 mm
L := 3.6 m
b := 1000 mm
g_waist := (25 kN/m^3)*h*sqrt(R^2 + G^2)/G =
g_steps := (25 kN/m^3)*R/2 =
g_fin := 1.0 kN/m^2
q_k := 4.0 kN/m^2
w_Ed := (1.35*(g_waist + g_steps + g_fin) + 1.5*q_k)*b = kN/m
M_Ed := w_Ed*L^2/8 = kN*m
# Steel
K := M_Ed/(b*d^2*f_ck) =
k_1 := 0.8*alpha_cc/gamma_c =
xi_lim := 0.45
K_lim := k_1/0.4*(1 - 0.4*xi_lim)*0.4*xi_lim =
K <= K_lim =
z := min(d*(0.5 + sqrt(0.25 - 0.4*K/k_1)), 0.95*d) = mm
A_s := M_Ed/(f_yd*z) = mm^2How to use this example
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