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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.

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