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Timber Cross-Section Verification

Verification of timber cross-sections is carried out for load of bending moment, normal force and shear force. Verification is carried out for chosen load or for the critical load. The critical load is the load with maximum value of utilization.

Cross section can be checked by these ways:

  • Verification according to EN 1995-1-1 (EC 5)
  • Verification according to safety factor
  • Verification according to limit states

Each cross-section is checked for two types of load:

1. Check for bending moment and normal force

The analysis checks the bending moment stress σm developed at the edge of cross-section given by:

where:

M

-

bending moment

W

-

elastic modulus of cross-section

and the normal force stress σn given by:

where:

N

-

normal force

A

-

area of cross-section

The normal force can be either tension or compression.

2. Check for shear

The analysis checks the shear stress τ at the cross-section center of gravity written as:

where:

Q

-

shear force

S

-

1st moment of area

I

-

moment of inertia

t

-

width (thickness) of cross-section at its center of gravity