Steel structure calculation table, yes!Those are the watches you use frequently!

Steel structure calculation table, yes!Those are the watches you use frequently!

In order to ensure the bearing capacity of load-bearing structure and prevent brittle failure under certain conditions, appropriate steel grade and material properties should be selected according to the importance of structure, load characteristics, structural form, stress state, connection method, steel thickness and working environment.

 

Q235 steel, Q345 steel, Q390 steel and Q420 steel should be used for bearing structure, and their quality should meet the requirements of current national standards carbon structural steel GB / T 700 and low alloy high strength structural steel GB / T 1591 respectively.When other grades of steel are used, they shall meet the requirements of relevant standards.For Q235 steel, killed steel or semi killed steel should be selected.

 

The steel for load-bearing structure shall be qualified for tensile strength, elongation, yield strength and sulfur and phosphorus content, and carbon content for welding structure.

 

The steel of welded load-bearing structure and important non welded load-bearing structure should also have the qualification guarantee of cold bending test.

 

For the welding structure steel which needs to check fatigue, it should have the qualified guarantee of impact toughness at room temperature.When the working temperature of the structure is equal to or lower than 0 ℃ but higher than – 20 ℃, Q235 steel and Q345 steel should have qualified guarantee of 0 ℃ C impact toughness; Q390 steel and Q420 steel should have qualified assurance of impact toughness at – 20 ℃.When the working temperature of the structure is equal to or lower than – 20 ℃, Q235 steel and Q345 steel should be qualified with – 20 ℃ impact toughness; Q390 steel and Q420 steel should be qualified with – 40 ℃ impact toughness assurance.

 

For the non welded structure steel which needs to check the fatigue, it should also have the qualified guarantee of normal temperature impact toughness. When the working temperature of the structure is equal to or lower than – 20 ℃, the qualified guarantee of 0 ℃ impact toughness should be provided for Q235 steel and Q345 steel, and – 20 ℃ impact toughness guarantee should be provided for Q390 steel and Q420 steel.

 

When Z-direction steel is used for welding load-bearing structure to prevent lamellar tearing of steel, the material shall comply with the current national standard GB / T 5313.

 

The design value of steel strength (standard value of material strength divided by partial coefficient of resistance) shall be adopted according to table 2-77 according to steel thickness or diameter.The strength design value of steel castings shall be adopted according to table 2-78.The strength design value of the connection shall be adopted according to table 2-79 to table 2-81.

 

 Design value of steel strength (n / mm 2)

 

steel products Tensile, compressive and flexural f Shear resistance

FV

Face pressure (planed and pressed)

FCE

Brand Thickness or diameter (mm)
Q235 steel ≤16 215 125 325
>16~40 205 120
>40~60 200 115
>60~100 190 110
Q345 steel ≤16 310 180 400
>16~35 295 170
>35~50 265 155
>50~100 250 145
Q390 steel ≤16 350 205 415
>16~35 335 190
>35~50 315 180
>50~100 295 170
Q420 steel ≤16 380 220 440
>16~35 360 210
>35~50 340 195
>50~100 325 185

 

Note: the thickness in the table refers to the thickness of steel at the calculation point, and the thickness of the thicker plate in the section for the axial load-bearing member.

 

 Strength design value of steel casting (n / mm 2)

 

Steel grade Tensile, compressive and flexural

F

Shear resistance

FV

Face pressure (planed and pressed)

FCE

ZG200-400 155 90 260
ZG230-450 180 105 290
ZG270-500 210 120 325
ZG310-570 240 140 370

 

 Design value of weld strength (n / mm 2)

 

Welding method and electrode type Component steel butt weld Fillet weld
Brand Thickness or diameter

(mm)

Compression

FCW

When the weld quality is of the following grades, the tensile strength is FTW Shear resistance Tensile, compressive and shear strength
Level 1 and level 2 Three levels FVW FFW
Automatic welding, semi-automatic welding and manual welding of E43 electrode Q235 steel ≤16 215 215 185 125 160
>16~40 205 205 175 120
>40~60 200 200 170 115
>60~100 190 190 160 110
Automatic welding, semi-automatic welding and manual welding of E50 electrode Q345 steel ≤16 310 310 265 180 200
>16~35 295 295 250 170
>35~50 265 265 225 155
>50~100 250 250 210 145
Automatic welding, semi-automatic welding and manual welding of E55 electrode Q390 steel ≤16 350 350 300 205 220
>16~35 335 335 285 190
>35~50 315 315 270 180
>50~100 295 295 250 180
Automatic welding, semi-automatic welding and manual welding of E55 electrode Q420 steel ≤16 380 380 320 220 220
>16~35 360 360 305 210
>35~50 340 340 290 195
>50~100 325 325 275 185

 

Note: 1. The welding wire and flux used for automatic welding and semi-automatic welding shall ensure that the mechanical properties of the deposited metal are not lower than the relevant provisions in the current national standards “flux for submerged arc welding of carbon steel” (GB / T 5293) and “flux for submerged arc welding of low alloy steel” (GB / T 12470);

 

2.The weld quality grade shall meet the requirements of the current national standard code for acceptance of construction quality of steel structures (GB 50205).It is not suitable to use ultrasonic testing to determine the quality grade of butt weld of steel with thickness less than 8mm;

 

3.The strength design value of bending compression zone of butt weld is FCW, and that of bending tensile zone is FTW.

 

 Strength design value of bolted connection (n / mm 2)

 

High strength bolt for pressure bearing connection Ordinary bolt Anchor bolt bearing-type connection

High strength bolt

Grade C bolt Grade A and grade B bolts
tensile Shear resistance Under pressure tensile Shear resistance Under pressure tensile tensile Shear resistance Under pressure
FTB FVB FCB FTB FVB FCB FTA FTB FVB FCB
Ordinary bolt 4.6Grade 4.8 170 140 - - - - - - - -
5.6level - - - 210 190 - - - - -
8.8level - - - 400 320 - - - - -
Anchor bolt Q235 steel - - - - - - 140 - - -
Q345 steel - - - - - - 180 - - -
High strength bolt for pressure bearing connection 8.8level   - - - - - - 400 250 -
10.9level - - - - - - - 500 310 -
component Qz35 steel - - 305 - - 405 - - - 470
Q345 steel - - 385 - - 510 - - - 590
Q390 steel - - 400 - - 530 - - - 615
Q420 steel - - 425 - - 560 - - - 655

 

Note: 1. Grade a bolts are used for bolts with D ≤ 24mm and l ≤ 10d or l ≤ 150mm (according to the smaller value); grade B bolts are used for bolts with d > 24mm or l > 10d or l > 150mm (according to the smaller value).D is the nominal diameter and l is the nominal length of the screw;

 

2The accuracy and surface roughness of Grade A and B bolt holes, the allowable deviation of grade C bolt holes and the surface roughness of hole wall shall meet the requirements of the current national standard code for acceptance of construction quality of steel structures (GB 50205).

 

 Strength design value of rivet connection (n / mm 2)

 

Rivet grade and member

Steel grade

Tension (pin head pull off) Shear FVT Pressurized FCT
FtT Type I hole Class II hole Type I hole Class II hole
rivet BL2 or BL3 120 185 155 - -
component Q235 steel - - - 450 365
Q345 steel - - - 565 460
Q390 steel - - - 590 480

 

Note: 1. Class I holes are classified as follows:

1)The hole drilled according to the designed hole diameter on the assembled component;

2)The holes drilled on a single part and component by drilling die according to the designed hole diameter;

3)A small hole diameter is drilled or punched on a single part, and then expanded to the designed hole diameter on the assembled component.

 

2The hole with designed hole diameter punched or not drilled on a single part at one time belongs to class II hole.

 

The above strength design value shall be multiplied by the corresponding reduction factor when calculating the structural member or connection under the following conditions:

 

1. single angle with single side connection

1)According to the axial force, the strength and connection are 0.85;

2)Stability calculation according to axial compression

Equilateral angle steel 0.6 + 0.0015 δ, but not greater than 1.0:

The unequal angle steel connected with short side is 0.5 + 0.0025 δ, but not greater than 1.0;

The angle steel with long sides connected is 0.70;

When δ is less than 20, take δ = 20;

 

2.The butt weld of single side welding without backing plate is 0.85;

 

3.The welding seam and rivet connection of high-altitude installation with poor construction conditions is 0.90;

 

4. countersunk and half countersunk rivet connection 0.80.

 

Note: when several conditions exist at the same time, the reduction coefficient should be multiplied.

 

 Physical properties of steel and steel castings

 

Elastic modulus E

(N/mm²)

Shear modulus G

(N/mm²)

Coefficient of linear expansion α

(in per ℃)

Mass density ρ

(kg/m³)

206×103 79×103 12×10-6 7850

 

The deflections of crane beams, roof beams, roof beams, working platform beams and wall frame members should not exceed the allowable values listed in table 2-83.

 

 Allowable deflection value of flexural member

 

item Component category Allowable value of deflection
[νT] [νQ]
1 Crane beam and crane truss (the deflection is calculated according to the crane with the largest dead weight and lifting capacity)

(1) Manual crane and single beam crane (including suspension crane)

(2) Light duty bridge crane

(3) Bridge crane of intermediate working system

(4) Heavy duty bridge crane

 

l/500

l/800

l/1000

l/1200

 
2 Track beam of manual or electric hoist l/400  
3 Working platform beam with heavy rail (weight equal to or greater than 38kg / M)

Working platform beam with light rail (weight equal to or greater than 24kg / M)

l/600

l/400

 
4 Roof beam or truss, working platform beam (except item 3) and flat slab

(1) Main beam or frame (including beams and trusses with suspended lifting equipment)

(2) Secondary beam of plastered ceiling

(3) Other beams except (1) and (2) (including stair beams)

(4) Roof purlin

Supporting corrugated iron and asbestos roofing without accumulation of dust

Corrugated iron and asbestos tile roofing with accumulated dust supporting profiled sheet metal

Supporting other roof materials

(5) Platform plate

 

l/400

l/250

l/250

 

l/150

l/200

l/200

l/150

 

l/500

l/350

l/300

5 Wall frame member (wind load without considering gust factor)

(1) Pillar

(2) Wind resistant truss (as support for continuous columns)

(3) Beam of masonry wall (horizontal direction)

(4) Beams supporting profiled sheet metal, corrugated iron and asbestos tile walls (horizontal direction)

(5) Beams with glazing (vertical and horizontal)

 

 

 

 

 

l/200

 

l/400

l/1000

l/300

l/200

l/200

 

Note: 1. L is the span of bending member (for cantilever beam and cantilever beam, it is 2 times of cantilever length).

 

2. [ν t] is the allowable value of deflection (the camber should be subtracted if there is arch camber) generated by the standard value of all loads;

[ν q] is the allowable deflection value generated by the standard value of variable load.

 

Allowable value of horizontal displacement of frame structure: under the action of standard value of wind load, horizontal displacement of frame column top and relative displacement between floors should not exceed the following values.

 

1.The displacement of column top of single story frame without overhead crane H / 150

 

2.The displacement of column top of single story frame with overhead crane H / 400

 

3. column top displacement H / 500 of multi story frame

 

4.The inter story relative displacement of multi story frame H / 400

H is the total height from the top of the foundation to the top of the column; h is the floor height.

 

 Effective length of chord and web member l0

 

item Bending direction Chord Abdominal member
Support inclined bar and support vertical bar Other web members
1 In the plane of truss L L 0.8l
2 Out of plane of truss L1 L L
3 Oblique plane - L 0.9l

 

Note: 1. L is the geometric length of the member (distance between node centers); L1 is the distance between the lateral support points of truss chord.

 

2.The inclined plane refers to the plane which is oblique to the truss plane. It is suitable for single angle steel web member and double angle cross section web member whose two main axes of component section are not in the truss plane.

 

3.The effective length of web member without gusset plate is equal to geometric length in any plane (except steel pipe structure).

 

 Allowable slenderness ratio of tension member

 

item Component name Structures subjected to static or indirect dynamic loads Direct bearing of dynamic loads and structures
General building structure Workshop with heavy duty working crane
1 Members of truss 350 250 250
2 Support between columns under crane beam or crane truss 300 200 -
3 Other tie rods, supports, tie bars, etc. (except for tension round steel) 400 350 -

 

Note: 1. In the structure bearing static load, the slenderness ratio of tension member in vertical plane can be calculated only.

 

2.In the structure bearing dynamic load directly or indirectly, the calculation method of slenderness ratio of single angle tension member is the same as that in Note 2 of table 2-86.

 

3.The slenderness ratio of the bottom chord of the middle and heavy duty crane truss should not exceed 200.

 

4.The slenderness ratio of the support (except item 2 in the table) should not exceed 300 in the workshop with hard hook crane such as clamp or rigid rake.

 

5.The slenderness ratio of tension member should not exceed 250 under the combined action of permanent load and wind load.

 

6.The slenderness ratio of tension chord and web member should not exceed 300 (bearing static load or indirectly bearing dynamic load) or 250 (directly bearing dynamic load) for truss with span equal to or greater than 60m.

 

 Allowable slenderness ratio of compression member

 

item Component name Allowable slenderness ratio
1 Members in columns, trusses and skylights 150
Column lacing, crane beam or column bracing below crane truss
2 Bracing (except for column bracing below crane beam or crane truss) 200
Member used to reduce slenderness ratio of compression member

 

Note: 1. When the internal force of the compressed web member of truss (including space truss) is equal to or less than 50% of the bearing capacity, the allowable slenderness ratio can be taken as 200.

 

2.When calculating the slenderness ratio of single angle steel compression member, the minimum radius of rotation of angle steel should be used, but the radius of rotation parallel to the leg edge of angle steel can be used when calculating the slenderness ratio of cross member out of plane.

 

3.For the truss with span equal to or greater than 60m, the allowable slenderness ratio of compression chord and end compression member should be 100, and other compressed web members should be 150 (bearing static load or indirectly bearing dynamic load) or 120 (directly bearing dynamic load).

 

 Reduction factor of effective length of stepped column in single story workshop

 

Plant type Reduction

coefficient

Single span or multi span Number of columns in a column column in longitudinal temperature section Roof condition Are there longitudinal supports on both sides of the plant
Single span Equal to or less than 6 - - 0.9
More than 6 Roof of non large concrete roof slab No longitudinal horizontal support
With longitudinal horizontal support 0.8
Roof of large concrete roof slab -
Multi span - Roof of non large concrete roof slab No longitudinal horizontal support
With longitudinal horizontal support 0.7
Roof of large concrete roof slab -

 

Note: for open-air structures with beams (such as drop hammer workshop), the reduction factor can be 0.9.

 

 Anti sliding coefficient μ of friction surface

 

Treatment method of component contact surface at connection Steel grade of component
Q235 steel Q345 steel, Q390 steel Q420 steel
Sandblasting (shot) 0.45 0.50 0.50
Coating inorganic zinc rich paint after sandblasting (shot) 0.35 0.40 0.40
Rust after sandblasting 0.45 0.50 0.50
Wire brush to remove rust or untreated clean rolled surface 0.30 0.35 0.40

 

 Pretension of a high strength bolt P (KN)

 

Performance grade of bolts Nominal diameter of bolt (mm)
M16 M20 M22 M24 M27 M30
8.8level 80 125 150 175 230 280
10.9level 100 155 190 225 290 355

 Maximum and minimum allowable distance of bolt or rivet

 

name Position and direction Maximum allowable distance

(take the smaller of the two)

Minimum allowable distance
Center distance External discharge (vertical to internal force direction or along internal force direction) 8d0 or 12t 3D0
Middle row Vertical direction of internal force 16d0 or 24t
Along the direction of internal force Pressure member 12D 0 or 18T
Member tension 16d0 or 24t
Along the diagonal -
Distance from center to edge of member Along the direction of internal force 4d0 or 8t 2d0
Vertical direction of internal force Cutting edge or manual gas cutting edge 1.5d0
Rolling edge, automatic gas cutting or sawing edge High strength bolt
Other bolts or rivets 1.2d0
             

 

Note: 1. D0 is the hole diameter of bolt or rivet, t is the thickness of outer thin plate.

 

 2.The maximum spacing of bolts or rivets between steel plate edge and rigid components (such as angle steel, channel steel, etc.) can be adopted according to the value of middle row.


Post time: Jul-10-2020