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Timber Cross Section Verification

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

Cross-section can be checked by these ways:

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

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