Calculated moments of inertia and resistance for geometric shapes of structures


GOST 8509-93

b - shelf width; t—thickness of the flange;

R—radius of internal curvature; r is the radius of curvature of the shelves;

F is the cross-sectional area; i—radius of gyration;

I—moment of inertia; Ixy is the centrifugal moment of inertia;

x0 is the distance from the center of gravity to the outer edge of the shelf.

Angle numberbtRrF, cm 2Reference values ​​for axesWeight 1 m, kg
x - xx 0 — x 0y 0 - y0Ixy, cm4x0, cm
mmIx, cm4Wx, cm3ix, cmIxо max, cm4ixo max, cmIyо min, cm 4Wyo, cm 3iyо min, cm
L20x32033,51,21,130,40,280,590,630,750,170,20,390,230,60,89
L20x443,51,21,460,50,370,580,780,730,220,240,380,280,641,15
L25x32533,51,21,430,810,460,751,290,950,340,330,490,470,731,12
L25x443,51,21,861,030,590,741,620,930,440,410,480,590,761,46
L28x328341,31,621,160,580,851,841,070,480,420,550,680,81,27
L30x330341,31,741,450,670,912,31,150,60,530,590,850,851,36
L30x4441,32,271,840,870,92,921,130,770,610,581,080,891,78
L32x33234,51,51,861,770,770,972,81,230,740,590,631,030,891,46
L32x444,51,52,432,2610,963,581,210,940,710,621,320,941,91
L35x33534,51,52,042,350,931,073,721,350,970,710,691,370,971,6
L35x444,51,52,673,011,211,064,761,331,250,880,681,751,012,1
L35x554,51,53,283,611,471,055,711,321,521,020,682,11,052,58
L40x340351,72,353,551,221,235,631,551,470,950,792,081,091,85
L40x4451,73,084,581,61,227,261,531,91,190,782,681,132,42
L40x5551,73,795,531,951,218,751,522,31,390,783,221,172,98
L45x345351,72,655,131,561,398,131,752,121,240,8931,212,08
L45x4451,73,486,632,041,3810,521,742,741,540,893,891,262,73
L45x5551,74,298,032,511,3712,741,723,331,810,884,711,33,37

SEE OTHER SIZES OF CORNERS HERE

L20 - L45, L50 - L75, L80 - L110, L125 - L180, L200 - L250

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Equal angles have a very wide range of applications. Of these, you can combine different sections (Tee, cross-section, channel, I-beam). Corners are used as racks, braces, and belts. Sometimes corners are used as stiffeners for various floorings. It is not recommended to use corners as the main load-bearing beams in metal frames, because excessive consumption of steel will be unjustified.

Corners are used for various auxiliary structures (Support tables on columns for installing beams, support tables on beams and trusses, for installing purlins. Corners are widely used for the manufacture of seasonal structures, such as canopies, tents, greenhouses, greenhouses and much more.

When using the assortment, it should be taken into account that some items are popular and can be purchased at almost any metal stock, while some items are rare and difficult to obtain, especially in the regions. You should also take into account the price range, because... sometimes it is more profitable to lay cheaper beams, which pays off even despite some overconsumption of metal.

The table shows prices at the beginning of 2022.

For isosceles angles, it is necessary to calculate the centrifugal moment relative to the central axes У1Z1:

.

Angle b is measured from the U1 axis to the Z1 axis. In the case of clockwise movement, angle b is considered negative.

In our case b = – 45°.

For unequal angles, angle b is selected from the tables.

Fig.3. Channel
Rice. 4. Rectangular section

It is recommended to present all initial data in the form of a table, which will be convenient to work with on a computer.

Item number 1 – corner 2 – channel 3 – rectangle
Area F 9.03 31.84 36.00
Coordinate 4.22 11.00 23.00
Coordinate 4.22 8.10 15.00
Moment of inertia J 29.60 157.80 972.00
Moment of inertia J 29.60 2393.90 12.00
Moment of inertia -17.20 0.00 0.00

Equal angle corner GOST 8509

TK STEEL-INTEX TRADE, LLCEVRAZ METAL INPROM, OJSCOMEGA METAL, GKDIPOS, GCMETALLO-KOMPLEKT-M, JSCARIEL METAL, JSCA GROUP, LLCMETAGOR, LLCATON-STEEL, LLCAMG, LLCSPECSTAL-SERVICE, LLC
20x20x4.0 mm
25x25x3.0 mm43 08046 00047 50048 49044 70046 60047 49042 99044 900
25x25x4.0 mm43 08045 40045 50045 80045 49045 90046 00047 49043 490
32x32x3.0mm43 88046 60045 80048 49046 60046 49044 49044 900
32x32x4.0 mm43 38044 80046 00047 50044 99045 70046 00046 49043 490
35x35x3.0 mm41 58046 00046 00044 49043 990
35x35x4.0 mm45 40046 00043 90044 99046 00044 490
35×35x5.0 mm33 490
40x40x3.0 mm45 58046 00046 60047 990
40x40x4.0 mm43 88044 40044 70044 70043 99044 70044 70045 49044 490
40x40x5.0 mm46 99043 990
45x45x3.0 mm45 00045 000
45x45x4.0 mm43 48041 90044 70042 20041 49043 80044 70042 99041 790
45x45x5.0 mm42 48042 60038 20041 99045 70045 00043 49042 990
50x50x4.0 mm41 58041 50042 00044 20042 49042 00042 99041 790
50x50x5.0 mm41 58041 90042 50042 00042 70042 49046 00042 00042 99041 490
63x63x4.0 mm43 38042 49045 00043 490
63x63x5.0 mm43 48041 90042 00042 00042 50042 49044 00042 00043 79042 990
63x63x6.0 mm43 48042 00042 70042 00043 50042 00042 99042 990
70x70x5.0 mm42 78042 30045 00045 50044 49045 00046 49044 490
70x70x6.0 mm427804490044490451004599043490
70x70x7.0 mm4549042490
75x75x5.0 mm426804230042600452004449044700426004549042790
75x75x6.0 mm42680423004250042300447004449044300423004499042790
75x75x7.0 mm426804500044490450004699043990
75x75x8.0 mm4268044150449004399044900441504599043490
80x80x6.0 mm438804230045600449004549046000456004599043490
80x80x7.0 mm4388045600456004599042490
80x80x8.0 mm4388045600452004560044490
90x90x6.0 mm4338042300423004490044490442004230042990
90x90x7.0 mm42780423004400042300435004349045700423004549042290
90x90x8.0 mm42900459004549046300459004649043490
90x90x9.0 mm456004279045600
100×100x6.5 mm45680
100x100x7.0 mm434804280043500429004790043990439004290037990
100x100x8.0 mm434804280043500420004470044990478004290037990
100x100x10.0 mm4348042800477004890048490489004770044990
100x100x12.0 mm38990
110x110x7.0 mm4358049500457004950045990
110x110x8.0 mm4308042900505004950043990
125x125x8.0 mm430804530039200495004950051490457004950044990
125x125x9.0 mm43080453004950048400460004950044490
125x125x10.0 mm4308045300495004850048990457004950037990
125x125x12.0 mm4699037990
140x140x9.0 mm54180536005500055500549505500055950
140x140x10.0 mm541805360055000549505500055950
140x140x12.0 mm5500055000
160x160x10.0 mm5418054800550005550054950550005595057200
160x160x11.0 mm
160x160x12.0 mm525805500054950550005820057200
160x160x14.0 mm58200
160x160x16.0 mm5358054800549505820057200
160x160x20.0 mm
180x180x11.0 mm568005750057200572005750058200
180x180x12.0 mm575005750058200
180×180x14.0 mm
200x200x12.0 mm535805500054950550005595054950
200x200x14.0 mm511805400055000550005595054950
200x200x16.0 mm5118054000549505595054950
200x200x20.0 mm5595054950

Assortment of unequal hot-rolled angles GOST 8510-86

Source: https://sbk.ltd.ua/ru/sortament-ves-metalloprokata/137-sortament-ugolka-neravnopolochnogo-gorjachekatanogo-gost-8510-86.html

The range of steel angles is divided into equal and unequal angle steel. The range of equal angle angles is 2-3 times wider than the range of channels and beams.

Hot-rolled steel angles, unequal, are a solid metal profile with an L-shaped section. The range of angle steel is produced in accordance with GOST 8510-86 both from ordinary quality carbon steel (GOST 380-94) grades: steel St0-St6, steel 09g2s, steel 3sp5, etc., and from low-alloy steel of high strength (GOST 19281-89) grades 08G2S, 12GS, 16GS.

The full range of corners contains:

- geometric characteristics of the angle according to GOST 8510-86; - axial moments of inertia of the hot-rolled unequal angle; - radius of inertia relative to the main central axes; - weight per linear meter;

— cross-sectional area;

Unequal-flange angles (the dimensions of shelves A and B are different in contrast to equal-flange angles) are usually used in the manufacture of metal structures that have a bend (for example, arched structures, roof trusses).

Metal corner unequal. Dimensions and weight

The list of rolled angles indicating geometric characteristics, flange dimensions, weight of one linear meter (specific gravity), tolerances and delivery conditions is called a metal angle assortment.

A variety of types of hot-rolled profiles, including unequal angles in the range, as well as a fairly frequent gradation of angle sizes, ensure the economical production of metal structures with the possibility of creating a variety of structural forms of metal products.

The gradation coefficient (the ratio of the cross-sectional area Fn to the cross-sectional area of ​​the nearest smaller Fn-1) in the assortment of hot-rolled angles has a variable value. In the size range of the most commonly used hot-rolled steel, the gradation coefficient is smaller.

Corner rental, variety of GOST 8510-86 is made of carbon steel: ST0, ST3KP, ST3SC/PS, ST4KP, ST4PS, ST4SP, ST5PS, ST6PS, ST6SP, from steel of low-alloy brands: 08G2C, 12GS, 16GS, 14G2, 17GS, 09G2C2C2C2C, 09G2C2C2C2C, 09G2S , 14HGS, 15HSND, 10KHNDP, 17G1S, 10G2S1, 10G2BD, 10HSND, 15G2SFD, 14G2AF, 16G2AF, 15G2AFDps, 18G2AFps.

It should be remembered that the range of angle steel, unequal angles are used for the manufacture and installation of building frames, strengthening of load-bearing structures, the manufacture of supports and columns, various machine parts and mechanisms.

The characteristics of the angle (strength and geometric) can be downloaded in the “Assortment of unequal steel angles”, and the properties of steel in the “Assortment of metals and alloys”. Metal strength is an important strength characteristic that can change during cold hardening (hardening the surface of the metal of a corner as a result of plastic deformation is called cold hardening or cold hardening). Such properties of steel angles must be taken into account during pressing work, especially when straightening rolled steel with a flange thickness of 3 mm, 4 mm, 5 mm (see.

Assortment of angle steel), where increasing the pressing force of the punch instead of improving the tightness of the fit, when testing on a plate, often leads to completely opposite results, due to warping of the angle metal under the influence of work hardening. In places where work hardening is possible, cracking of the metal surface is possible, which is sometimes observed in a defective corner (characteristics do not meet the requirements of GOST), which was rolled on a mill in a cold state, because cold rolling creates high hardness and elasticity of the metal.

When choosing an angle from the assortment of rolled angles, you must clearly know what kind of environment will be in the structures in which rolled metal will be used. For example, if the environment is aggressive, with high humidity, then you should choose angle bars made of galvanized steel in accordance with GOST. Equal and unequal angles made of galvanized steel are widely used in galvanized power line supports.

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