EN 1993-1-1 (EC3)
Check for bending and stress caused by normal force
The design resistance for bending is given by:
where: | W | - | elastic modulus of cross-section |
fy | - | steel yield stress | |
γM0 | - | partial factor for resistance of a cross-section |
The design resistance for compression is given by:
where: | A | - | area of cross-section |
fy | - | steel yield stress | |
γM0 | - | partial factor for resistance of a cross-section |
The design values of bending moment and normal force are checked according to
and the value of utilization is provided by:
Check for shear
The design shear resistance is given by:
where: | I | - | moment of inertia |
t | - | section thickness at the center of gravity | |
S | - | 1st moment of area | |
fy | - | steel yield stress | |
γM0 | - | partial factor for resistance of a cross-section |
The design value of the shear force is checked according to:
and the value of utilization is provided by:
State of plane stress verification:
The state of plane stress is checked exploiting the following conditions:
where: | σ1 | - | normal stress |
τ1 | - | shear stress |
The value of utilization is provided by:
Literature:
Eurocode 3: Design of steel structures - Part 1-1: General rules and rules for buildings.