Equation Pad

Equation Pad › Library › Eurocode 2 › Slabs

One-way spanning slab

Design actions, bending moment, tension steel, minimum steel and bar spacing of a simply supported slab. Reference: EN 1992-1-1 6.1, 9.3.1.

Open this sheet in Equation Pad Browse the Library

One-way spanning slab: worked example sheet in Equation Pad with typeset equations and results.

Example only. This sheet shows one way to set out the check. It is not endorsed by the bodies that publish the design codes and does not reproduce them. Check every clause, value and assumption against your own copy of the current edition of Eurocode 2 and its national annex before you use it, and have the result checked by a competent person. See the disclaimer.

The calculation, line by line

Every line below is typed into Equation Pad exactly as shown; the app typesets it, works out the value with its units and shows checks as TRUE or FALSE. Change any input and everything below it updates.

# 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 =

# Slab and loads
L := 4.2 m
h := 175 mm
d := 145 mm
b := 1000 mm
g_k := (25 kN/m^3)*h + 1.5 kN/m^2 =
q_k := 2.5 kN/m^2
w_Ed := (1.35*g_k + 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^2
A_s.min := max(0.26*0.30*(f_ck/(1 MPa))^(2/3)*1 MPa/f_yk, 0.0013)*b*d = mm^2
s := min(1000 mm*pi/4*(12 mm)^2/max(A_s, A_s.min), 3*h, 400 mm) = mm

How to use this example

  1. Click Open this sheet in Equation Pad. It opens as a new worksheet in your browser; nothing is installed.
  2. Change the inputs at the top to those of your project.
  3. Check the clauses and coefficients against the code, add your own checks, and save the sheet or export a PDF with your title block.

More Eurocode 2 sheets on slabs

The same topic in IS 456