Equation Pad › Library › Eurocode 3 › Serviceability
Deflection of a simply supported steel beam
Deflection under the variable load at the serviceability limit state against span/360. Reference: EN 1993-1-1 7.2, EN 1990 A1.4.
Open this sheet in Equation Pad Browse the Library

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 3 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.
# Beam IPE 300
E_s := 210 GPa
I_y := 8356e4 mm^4
L_s := 6.0 m
q_k := 10 kN/m
# Deflection
delta := 5*q_k*L_s^4/(384*E_s*I_y) = mm
delta_lim := L_s/360 = mm
delta <= delta_lim =
How to use this example
- Click Open this sheet in Equation Pad. It opens as a new worksheet in your browser; nothing is installed.
- Change the inputs at the top to those of your project.
- Check the clauses and coefficients against the code, add your own checks, and save the sheet or export a PDF with your title block.