EN 40-3-3-2013 pdf download.Lighting columns – Part 3-3 : Design and verification – Verification by calculation.
4 Symbols
The following symbols are used in this European Standard.
The definitions are abbreviated, the full definitions being given in the text.
a Clear length of door opening
Length of the door cut out in the column wall for type 5 reinforcement
A. Effective cross-sectional area of door reinforcement.
A Cross-sectional area of door reinforcement
b Clear width of the door opening
b, Width of the door cut out in the column wall for type 5 reinforcement
B Factor defined in 5.6.2.3.2 Factor defined in 5.6.2.3.2
C Length of halves of straight edge of door opening
4 Width of door reinforcement
e Specified elongation
E Modulus of elasticity
Charactenstic yield strength
F Factor defined in 5,6.2.2
g Factor defined in 5.6.2.2
G Shear Modulus
h Nominal height
J Mean dimension of flat side of octagonal cross section
J0 Mean dimension of flat side at edge of door opening.
I Length of Type 5 reinforcing. (Fig. 6e)
L Effective length of door opening
m011 Distance from centroid of door reinforcement measured normal to the x-x axis.
m0 Distance from centroid of door reinforcement measured normal to the y-y axis.
m Distance from centre of column wall at the door opening measured normal to the x-x axis.
m Distance from centre of column wall at the door opening measured normal to the y-y axis.
Af Combined bending moment for dosed regular cross-sections.
Af4) Bending moment of resistance for closed regular cross sections.
M, Bending moment of resistance about x-x axis.
M Bending moment of resistance about y-y axis.
Bending moment about x-x axis.
Partial material factor.
o Half angle of the clear door opening.
Hall angle of the door cut out in the column for type 5 remforcement
Constant =3,1416
Factor defined in 5.6.2.1
Factors defined in 5.6.2.1
Factors defined in 5.6.2.2
Factors defined in 5.6.2.3.2
5 Structural strength requirements (ultimate limit state)
5.1 Application of calculations
The adequacy of the strength of the lighting column shall be calculated for the following cross sections:
a) the point at which the column is fixed (normally at ground level);
b) the lower edge of the door opening. If the positions of the door and the brackets can be changed relative to each other and are not specified, the lower edge & the door opening should be calculated about its weakest axis. If two or more door openings are provided, the strength of each opening shall be verified (see Figure 1);
C) in addition to b) for tapered lighting columns the top of the door opening. If two or more door openings are provided, the strength of each opening shall be verified (see Figure 1);
d) the point at which the bracket begins if the column and the bracket consist of one piece, or the point at which the bracket is attached if the bracket is detachable and check the junction between the bracket arm and the column;
e) transition from one diameter to another or at a change in material thickness;
f) anti-rotation device between the columns and the bracket arm, if such a device is present and intended to transfer torsional forces between the bracket arm and the column:
g) any other critical position.
5.2 Characteristic loads
The characteristic loads for strength requirements shall be calculated in accordance with EN 40-3-1.
5.5.2 Torsional moments
On columns with asymmetric bracketlluminaire arrangements the torsional moment T ,in Nm, shall be calculated for each position specified in 5.1 using the design loads specified in 5.4.
On lighting columns with symmetric brackets. the following configurations shall also be calculated and the greatest moment used in design:
a) column with a single bracket, with torsion:
b) column with symmetrical brackets, without torsion.
In both cases, the same values for bracket projection and luminaire weight and wind area shall be used.
For arrangements with permanent unsymmetrical brackets of different heights or lengths, verification shall be undertaken for the combination of both brackets in their relative positions. If brackets are removable, any relieving effect of the removable brackets on the member stresses shall be ignored
5.6 Strength of cross-section
5.6.1 General
The strength in bending and the strength in torsion of particular cross-sections shall be calculated in accordance with 5.6.2, 5.6.3 or 5.6.4, as appropriate. Where a particular cross section is at a transition in section properties, the section properties giving the minimum strength shall be used for calculating the bending and torsion resistance.
The strength in bending for the particular cross-sections shall be calculated:
either:
about the orthogonal axes n-n or x-x, and y-y;
where P4 has been calculated; in the direction of P4.
The strength in torsion T in Nm of the particular cross-section shall also be calculated.EN 40-3-3-2013 pdf download.