Technical Data for Profiles. Groove position, external dimensions and modular dimensions

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Kelley Leonard
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Technica Data for Profies Extruded Profie Symbo A Mg Si 0.5 F 25 Materia number.206.72 Status: artificiay aged Mechanica vaues (appy ony in pressing direction) Tensie strength Rm min.

1 Technica Data for Profies Extruded Profie Symbo A Mg Si 0.5 F 25 Materia number Status: artificiay aged Mechanica vaues (appy ony in pressing direction) Tensie strength Rm min. 245 N/mm 2 Yied point Rp0.2 min. 195 N/mm 2 Density 2.7 kg/dm Ductie yied A 5 min.10 % Ductie yied A 10 min. 8 % Linear coefficient of expansion 2.6x10-6 1/K Moduus of easticity E approx. 70,000 N/mm 2 Moduus of rigidity G approx. 25,000 N/mm 2 Hardness approx. 75 HB - 2.5/187.5 Toerances Deformations such as straightness and fatness toerance to DIN EN Part 2. Profies not cut to size may be mm onger than specified, due to manufacturing methods. Surface The auminium profies are natura (C0) or back (C5) anodized and are therefore permanenty resistant to scratching and corrosion. Surface with matt finish (E 6), compressed with anodic oxidation. Minimum ayer thickness 10 μm, ayer hardness HV. The a-round hard anodized surface covering makes saw cuts virtuay burr-free, thereby eiminating the need for remachining. A standard Profies and Profies ight and Profies E feature defined points of support on the Profie exterior and incined groove fanks. These ensure a firm and stabe connection with other components. Thanks to controed eastic deformation in the groove fanks, the fastening screw creates a vibration-free connection. Groove position, externa dimensions and moduar dimensions Moduar dimension R [mm] Profie edge ength a [mm] from Toerances of externa dimensions a and groove position n ± [mm]

Groove Dimensions a 5.0 +0. 6.2 +0. 8.0 +0.4 10.0 +0.4 12.0 +0.4 b 11.5 +0. 16. +0. 20.0 +0.4 25.0 +0.4 0.0 +0. c 6.

1 0.25 ±0.1 0. ±0.1 Core Bores Dried hoe d1 Reborabe d 2 4. ±0.1 mm for M5 6 mm or M6 5 +0.

2 mm for M10 16 mm or M16 (not Profie E) 10.2-0.

2 Groove Dimensions a b c 6.5 ± d 1.8 ± e 0.15 ± ± ± ± ±0.1 Core Bores Dried hoe d1 Reborabe d 2 4. ±0.1 mm for M5 6 mm or M mm for M6 8 mm or M mm for M8 1 mm or M12 (not Profie E) mm for M10 16 mm or M16 (not Profie E) mm for M12 20 mm or M20 Profies with Open Grooves Cosed Grooves Number of Hoes z [mm] Number of Hoes z [mm] to > > The hoe position toerance depends on the number of core bores and the profie contour. Tensie Loading Groove shape Norma N 1,750 N 5,000 N 7,000 N 10,000 N Light N 2, N 5,000 N E 1,750 N, N The permissibe tensie forces F on the groove fanks. These nomina oads incude safety factors (S > 2) against pastic deformation.

Technica DATA Torsion from b [mm] 1,000 2,000 Torsion toerance v for Length [mm],000 4,000 5,000 6,000-25 1.0 1.5 1.5 2.

2 1.5 1.8 2.2 2.5.0 150 1.5 1.8 2.2 2.6.0.5 00 1.8 2.5.0.5 4.0 4.5 00 20 2.0 2.8.5 4.0 4.5 5.

3 Technica DATA Torsion from b [mm] 1,000 2,000 Torsion toerance v for Length [mm],000 4,000 5,000 6, Straightness Toerance transverse Width a [mm] Straightness Toerance from t [mm]

8 For every ength section of 2 = 00 mm, a maximum deviation 4,000 2.2 of 0.

4 Straightness Toerance ongitudina Length Toerances 1 [mm] h 1 [mm] h 2 1,000 2, , For every ength section of 2 = 00 mm, a maximum deviation 4, of 0. mm is aowed 5,000 6, Anguar Toerance Width b [mm] Anguar Toerance from w ± [mm]

Construction profies: Determination of the Profie Defection The foowing equations appy for cacuating defection f: Exampe oad 1 F x x E x x 10 4 Exampe oad 2 F x 48 x E x x 10 4 Exampe oad F x 192 x E

5 Construction profies: Determination of the Profie Defection The foowing equations appy for cacuating defection f: Exampe oad 1 F x x E x x 10 4 Exampe oad 2 F x 48 x E x x 10 4 Exampe oad F x 192 x E x x 10 4 The foowing equations are to be used for cacuating the defection caused by the dead weight: As exampe oad 1 An approximate cacuation of the defection is possibe with the hep of the nomogram shown on the right. The exampe shown is worked through in the direction of the arrow to determine the defection. Exampe: Given: F = 1,000 N = mm y = 5,14 cm 4 (Profie 5 40x20, upright) Find: Defection in mm Resuts: Exampe oad mm Exampe oad mm Exampe oad 0.18 mm The bending vaues that are either cacuated or determined using graphs must be added to the defection caused by the dead weight of the profies. For an approximate cacuation of the defection caused by the dead weight, the dead weight is entered as F in the nomogram and the resuting vaues shoud be haved. F x 8 x E x x 10 4 Check of the bending stress As exampe oad 2 5 x F x 84 x E x x 10 4 As exampe oad M b σ = W x 10 σ = Bending stress in N/mm 2 M b = Max. bending moment in Nmm W = Resistance moment in cm Rp 0,2 A = 195 N/mm 2 F x 84 x E x x 10 4 The cacuated bending stress σ must be compared with the permissibe bending stress σ perm. F = Load in N = Free profie ength in mm = Moment of inertia in cm 4 E = Moduus of easticity in N/mm 2 E AI = 70,000 N/mm 2 σ perm = Rp 0.2 S The safety factor S must be seected depending on the required appication conditions. Note: Cacuate the defection in a profie easiy onine: A profie defection cacuator that takes into account a three oad scenarios is avaiabe onine at

6 mm F f Load mm F Load mm f F f Load f F N cm mm

7 Construction profies: Determination of the torsion ange The foowing equations appy for cacuating the torsion ange ϑ : Exampe oad 1 ϑ = 180 x M t x π x G x t x 10 Exampe oad 2 ϑ = 180 x M t x π x 4 x G x t x 10 Where: M t = Torsiona moment in Nm = Free profie ength in mm t = Moment of inertia in cm 4 G = Moduus of rigidity in N/mm 2 G AI = 25,000 N/mm 2 ϑ = Torsion ange in decima degrees The exampe shown on the nomogram opposite is based on the free profie ength and a given torsiona moment. The resut is the torsion ange as a deformation of Profie 8 80x80. It is naturay aso possibe to use the nomogram in reverse and begin with a maximum permissibe torsion to cacuate the required profie sizes or the maximum oading moments for a specified profie ength. Exampe: Given: M t = 20Nm = 2,000 mm t = cm 4 (Profie 8 80x80) Find: ϑ = Torsion ange in decima degrees Resuts: Exampe oad 1 ϑ = 0.07 Exampe oad 2 ϑ = 0.02 The vaues for the profies torsiona moments of inertia were determined experimentay or through an approximate cacuation. Component toerances and simpifying assumptions mean the actua torsion anges can differ from the cacuated vaue by 15%. Check of the torsiona stress In practice, the criterion for a profie to fai under a torsiona oad is ess the fact that the permissibe torsiona stress is exceeded, but rather the presence of excessive twist (torsion ange) even though it is sti within the eastic imit. This deformation greaty impairs correct functioning of the components. Consequenty, a more torsionay rigid profie must be seected ong before the permissibe stress vaues are reached.

8 M t M t Load 1 Load 2 M t Nm 00 cm

Recommended Assemby Configurations Where possibe, the vertica profies shoud

torsiona stress at the connection points and by giving preference to positive

oad in order to achieve the maximum fexura strength.

benefits incude greater stabiity, fewer cuts, fewer connections and reduced

Extend the profies ony with the aid of the corresponding fastening eements and,

9 Recommended Assemby Configurations Where possibe, the vertica profies shoud extend through the entire height; this simpifies connection of the foor eements and improves the overa appearance. Structures shoud be designed to withstand the oads ikey to be paced on them, i.e. by avoiding torsiona stress at the connection points and by giving preference to positive ocking over friction resistance in the direction of appied force in a the connections. Where possibe, profies shoud be instaed so that the argest section dimension opposes the oad in order to achieve the maximum fexura strength. Avoid breaks in the supporting profie when instaing additiona attachments; the benefits incude greater stabiity, fewer cuts, fewer connections and reduced assemby time. Extend the profies ony with the aid of the corresponding fastening eements and, where possibe, support them at the joints. If it is not possibe to avoid anodized surfaces being in direct contact with one another, the contact points must be greased. This wi hep to avoid any noise which might resut from movement. If profie-based structures are ikey to be exposed to extremes of stress, e.g. impact oads, which might cause dispacement at the points of attachment, pin eements shoud be instaed in order to provide additiona support.

Unit 48: Structural Behaviour and Detailing for Construction. Deflection of Beams

Unit 48: Structural Behaviour and Detailing for Construction. Deflection of Beams Unit 48: Structura Behaviour and Detaiing for Construction 4.1 Introduction Defection of Beams This topic investigates the deformation of beams as the direct effect of that bending tendency, which affects