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GB 50040-2020 English PDF

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GB 50040-2020: Standard for design of dynamic machine foundation
Status: Valid

GB 50040: Historical versions

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GB 50040-20201989 Add to Cart 16 days Standard for design of dynamic machine foundation Valid
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Basic data

Standard ID: GB 50040-2020 (GB50040-2020)
Description (Translated English): Standard for design of dynamic machine foundation
Sector / Industry: National Standard
Classification of Chinese Standard: J04
Word Count Estimation: 155,187
Date of Issue: 2020-06-09
Date of Implementation: 2021-03-01
Older Standard (superseded by this standard): GB 50040-1996
Quoted Standard: GB 50005; GB 50010; GB 50037; GB/T 50269; GB 50463; GB 50868; GB/T 51228; GB/T 5574; HG 2297
Issuing agency(ies): Ministry of Housing and Urban-Rural Development of the People's Republic of China; State Administration for Market Regulation
Summary: This standard applies to the non-vibration design of power machine foundations such as rotary machines, reciprocating machines, impact machines, presses, crushers and mills, vibration test benches, and metal cutting machine tools. In addition to the basic design of power machinery, it should comply with this standard, as well as the provisions of relevant national standards.

GB 50040-2020: Standard for design of dynamic machine foundation

---This is a DRAFT version for illustration, not a final translation. Full copy of true-PDF in English version (including equations, symbols, images, flow-chart, tables, and figures etc.) will be manually/carefully translated upon your order.
1 General 1.0.1 This standard is formulated in order to ensure the technical performance and engineering quality of power machine foundation design, to achieve advanced technology, reasonable economy, safety and applicability, and to meet environmental requirements. 1.0.2 This standard is applicable to the non-vibration-isolation design of power machine foundations such as rotary machines, reciprocating machines, impact machines, presses, crushers and mills, vibration test benches, and metal cutting machine tools. 1.0.3 In addition to this standard, the design of the power machine foundation shall also comply with the current relevant national standards. 2 Terminology and symbols 2.1 Terminology 2.1.1 machine-foundation system The general term for the power machine foundation and the machines, auxiliary equipment and filling soil on the foundation. 2.1.2 equivalent load equivalent load Static loads equivalent to the dynamic loads acting on the original vibrating system. 2.1.3 frame foundation frame foundation The foundation is formed by the connection of top beams, columns and bottom slabs. 2.1.4 wall foundation The foundation is formed by the connection of the roof, vertical and horizontal walls and the bottom plate. 2.1.5 Foundation stiffness The ability of the foundation to resist deformation is the ratio of the force (moment) applied to the foundation to its deformation (angular deformation). 2.1.6 rotary machine A mechanical device that has rotating parts such as a rotor and works by rotating at a constant speed. 2.1.7 reciprocating machine reciprocating machine A mechanical device consisting of a crank (crankshaft), a connecting rod, and a reciprocating piston. 2.1.8 Impact machine A hammer with a certain mass is used to periodically perform free-fall motion within a certain height to produce a mechanical device with a more obvious pulse function characteristic vibration load. 2.1.9 vibration test stand vibration test stand It is a standard test equipment for simulating the real vibration environment effect to test the mechanical properties of various industrial products and engineering facilities. 2.1.10 metal cutting machine tool metal cutting machine tool Machines that process metal workpieces by cutting, special processing, etc. to obtain the required geometric shape, dimensional accuracy and surface quality. 2.2 Symbols 2.2.1 Action and action response. Fvz—the vertical vibration load of the machine; Fvx, Fvy - the horizontal vibration load of the machine; Mф—the turning disturbance moment of the machine in the x-ф direction coupling vibration of the base group horizontally along the x-axis and rotating around the y-axis; Mθ——the rotation disturbance moment of the machine in the y-θ direction coupling vibration of the basis set horizontally along the y-axis and rotating around the x-axis; Mψ—the torsional vibration disturbance moment of the machine; uz—the vertical vibration displacement at the center of gravity of the foundation group or at the foundation control point; ux, uy—horizontal vibration displacement at the center of gravity of the foundation group or at the foundation control point; uф—the x-ф direction coupled vibration rotary vibration angular displacement of the base group along the x-axis horizontally and rotating around the y-axis; uθ——the y-θ direction coupling vibration rotary vibration angular displacement of the base group along the y-axis horizontally and rotating around the x-axis; uψ—the torsional vibration angular displacement of the basis set; uzz——the vertical vibration displacement generated by the vertical vibration of the basis set along the z-axis; uzф——the vertical vibration displacement generated by the x-ф coupling vibration of the base group horizontally along the x-axis and rotating around the y-axis; uxф——horizontal vibration displacement generated by the x-ф coupling vibration of the base group horizontally along the x-axis and rotating around the y-axis; uzθ——the vertical vibration displacement generated by the y-θ coupling vibration of the basis set horizontally along the y-axis and rotating around the x-axis; uyθ——horizontal vibration displacement generated by the y-θ coupled vibration of the basis set horizontally along the y-axis and rotating around the x-axis; uxψ, uyψ——horizontal vibration displacement generated by fundamental set torsional vibration; ω—circular frequency of machine disturbance; ωnz—the vertical natural circular frequency of the basis set; ωnx, ωny—horizontal natural circular frequency of the basis set; ωnф——the natural circular frequency of the basis set rotating around the y-axis; ωnθ——the natural circular frequency of the basis set rotating around the x-axis; ωnψ—basis set torsional natural circular frequency; ωnф1, ωnф2—the natural circular frequencies of the first and second mode shapes of the x-ф-direction coupled vibration of the basis set horizontally along the x-axis and rotating around the y-axis; ωnθ1, ωnθ2—the natural circular frequencies of the first and second mode shapes of the y-θ direction coupling vibration of the basis set horizontally along the y-axis and rotating around the x-axis; a——Basic vibration acceleration; υ——Basic vibration velocity. 2.2.2 Calculation indicators. Cz—compressive stiffness coefficient of natural foundation; Cф, Cθ——Bending stiffness coefficient of natural foundation; Cx, Cy——shear stiffness coefficient of natural foundation; Cψ——the torsional stiffness coefficient of natural foundation; Cpz—the equivalent compressive stiffness coefficient of pile tip soil; Cpτ—the equivalent shear stiffness coefficient of each layer of soil around the pile; Kz—compressive stiffness of natural foundation; Kф, Kθ—bending stiffness of natural foundation; Kx, Ky——shear stiffness of natural foundation; Kψ - torsional stiffness of natural foundation; Kpz—the compressive stiffness of the pile foundation; Kpф, Kpθ——bending stiffness of pile foundation; Kpx, Kpy - pile foundation shear stiffness; Kpψ——torsional stiffness of pile foundation; ζz—vertical damping ratio of natural foundation; ζh1, ζh2—the damping ratio of the first and second mode shapes of the horizontal gyration coupling vibration of the natural foundation; ζψ——torsional damping ratio of natural foundation; ζpz—the vertical damping ratio of the pile foundation; ζph1, ζph2——the damping ratio of the first and second vibration modes of horizontal rotary coupling vibration of pile foundation; ζpψ—the torsional to damping ratio of the pile foundation; [u]——allowable vibration displacement of foundation; [υ]——allowable vibration speed of foundation; [a]——allowable vibration acceleration of foundation; m - the mass of the basis set. 2.2.3 Geometric parameters. A - area of foundation bottom; Ap - the cross-sectional area of the pile; Ix, Iy——moment of inertia of foundation bottom surface passing through its centroid axis; Jф, Jθ——moment of inertia of basis set passing through its center of gravity axis; Iz—the polar moment of inertia of the foundation bottom plane passing through the centroid of the bottom surface; Jψ——the polar moment of inertia of the basis set passing through its center of gravity axis; h1——the distance from the center of gravity of the basis set to the top surface of the foundation; h2—the distance from the center of gravity of the basis set to the bottom surface of the foundation. 2.2.4 Calculation coefficient and others. αv——dynamic reduction coefficient of foundation bearing capacity; αz——the increase coefficient of foundation burial depth to foundation compressive stiffness; α—the increase coefficient of foundation depth effect on foundation shear, bending and torsional rigidity; βv——dynamic subsidence influence coefficient of foundation soil; βz—the increase coefficient of the foundation buried depth to the vertical damping ratio; β——improvement coefficient of the foundation buried depth on the damping ratio of horizontal gyration coupling vibration and torsional vibration; δd——Basic buried depth ratio.

3 basic rules

3.1 General provisions 3.1.1 The design of the power machine foundation shall meet the following performance requirements. 3 The thickness of the concrete under the bottom surface of the pre-embedded anchor bolts shall not be less than 50mm, and when a reserved hole is set, the thickness of the concrete under the bottom surface of the hole shall not be less than 100mm. 3.3 Foundation and Foundation Calculation Regulations 3.3.1 The average static pressure on the bottom surface of the power machine foundation shall meet the requirements of the following formula. p≤αvfa (3.3.1) In the formula. p—corresponding to the standard combination of actions, the average static pressure value of the bottom surface of the foundation (kPa); αv——dynamic reduction coefficient of foundation bearing capacity; fa—the corrected characteristic value of the bearing capacity of the foundation (kPa). 3.3.2 The average static pressure on the bottom surface of the power machine foundation shall be calculated according to the following loads. 1 The self-weight of the foundation and the weight of backfill soil on the foundation; 2 The self-weight of the machine and other loads transferred to the foundation. 3.3.3 The dynamic reduction factor of foundation bearing capacity shall be determined according to the following provisions. 1 Rotary machine foundation can take 0.8. 2 Forging hammer foundation should be calculated according to the following formula. In the formula. a——vibration acceleration of foundation (m/s2); βv—the dynamic subsidence influence coefficient of the foundation soil, determined according to the provisions of Article 3.3.4; g—gravitational acceleration, generally 9.8m/s2. 3 Other machine bases can take 1.0. 3.3.4 The dynamic subsidence influence coefficient βv value of the foundation soil shall be determined according to the following provisions. 1 When it is a natural foundation, it should be determined according to the provisions in Table 3.3.4. 2 For the pile foundation, it should be selected according to the foundation soil category of the bearing layer at the pile tip. 3.3.5 The foundation soil type of the power machine foundation should be determined according to Table 3.3.5. 3.3.6 The vibration response of the power machine foundation shall meet the following requirements. In the formula. u—vibration displacement of the control point on the foundation; v - the vibration velocity of the control point on the foundation; a——vibration acceleration of the control point on the foundation; [u]——allowable vibration displacement of foundation; [v] - allowable vibration velocity of the foundation; [a] — Allowable vibration acceleration of the foundation. 3.3.7 The vibration load of the power machine shall comply with the relevant provisions of the current national standard "Standard for Building Vibration Load" GB/T 51228. 3.3.8 The permissible vibration standard of the power machine shall comply with the relevant provisions of the current national standard "Construction Engineering Permissible Vibration Standard" GB 50868. 3.4 Dynamic characteristic parameters of foundation Ⅰ Natural foundation 3.4.1 The dynamic characteristic parameters of the natural foundation should be determined by on-site testing, and the test method should comply with the relevant provisions of the current national standard "Code for Testing the Dynamic Characteristics of Foundations" GB/T 50269; when there is no test condition, it should be determined according to 3.4.The provisions of Article 2 to Article 3.4.11 are determined. 3.4.2 The compressive stiffness coefficient of the natural foundation shall be determined according to the following provisions. 1 When the foundation bottom area is not less than 20m2, it should be adopted according to Table 3.4.2. 2 When the foundation bottom area is less than 20m2, the compressive stiffness coefficient should be multiplied by the value in Table 3.4.2 by the foundation bottom area correction coefficient, and the foundation bottom area correction coefficient can be calculated according to the following formula. In the formula. βr — correction coefficient of foundation bottom area; A - the area of the foundation bottom (m2). 3.4.3 When the foundation soil at the bottom of the foundation is composed of different soil layers, the influence depth shall be determined according to the following regulations. 1 The square foundation should be calculated according to the following formula. hd=2b (3.4.3-1) In the formula. hd——impact depth (m); b—the side length of the square foundation (m). 2 The foundation of other shapes should be calculated according to the following formula. hd=2√A (3.4.3-2) 3.4.4 When the influence depth of the foundation on the foundation soil includes different soil layers (Figure 3.4.4), the compressive stiffness coefficient should be calculated according to the following formula. In the formula. Cz——the compressive stiffness coefficient of foundation soil (kN/m3); Czi——the compressive stiffness coefficient of the i-th layer of soil (kN/m3), which can be determined according to the provisions of Article 3.4.2 of this standard; hi - the depth from the bottom of the foundation to the bottom of the i-layer soil (m); hi-1——the depth (m) from the foundation bottom to the i-1 layer soil bottom. 3.4.5 The shear, bending and torsional stiffness coefficients of the natural foundation should be calculated according to the following formula. In the formula. Cx, Cy—the shear stiffness coefficient of the natural foundation along the x-axis and y-axis (kN/m3); Cθ, Cф—the bending stiffness coefficient of the natural foundation around the x-axis and y-axis (kN/m3); Cψ——the torsional stiffness coefficient (kN/m3) of the natural foundation around the z-axis. 3.4.6 The compressive, shearing, bending and torsional rigidity of the natural foundation shall be calculated according to the following formula. In the formula. Kz——the compressive stiffness of the natural foundation along the z-axis (kN/m); Kx, Ky——shear stiffness of natural foundation along x-axis and y-axis (kN/m); Kθ, Kф—bending stiffness of natural foundation around x-axis and y-axis (kN m); Kψ——the torsional stiffness of the natural foundation around the z-axis (kN m); A - area of foundation bottom (m2); Ix, Iy——the moment of inertia of the natural foundation bottom surface on the x-axis and y-axis passing through the centroid of the bottom surface (m4); Iz—the polar moment of inertia (m4) of the base surface of the natural foundation passing through the centroid of the base surface. 3.4.7 When the characteristic value of the foundation bearing capacity of the embedded foundation is less than 350kPa, and the density ratio of the backfill soil around the foundation to the foundation soil is not less than 0.85, its compressive, shearing, bending and torsional stiffness should be multiplied by the increase factor, the improvement factor should be calculated according to the following formula. In the formula. αz—the increase coefficient of foundation burial depth to foundation compressive stiffness; α—the increase coefficient of foundation depth effect on foundation shear, bending and torsional rigidity; δd—the foundation depth ratio, when δd is greater than 0.6, take 0.6; ht——foundation embedding depth (m). 3.4.8 When the foundation is connected to the rigid ground, the flexural, shear and torsional rigidity of the foundation should be multiplied by the increase coefficient of the rigid ground. The increase factor can be 1.0 to 1.4, and the increase factor of the weak foundation soil should be taken as the upper limit. 3.4.9 The damping ratio of the natural foundation shall be calculated according to the following provisions. 1 The vertical damping ratio should be calculated according to the following formula. (1) For cohesive soil. (2) For silt and sandy soil. In the formula. ζz——vertical damping ratio of natural foundation; m—basic group mass ratio; m - the mass of the basis set (t); ρ——the density of foundation soil (t/m3). 2 The damping ratio of horizontal turning and torsional steering should be calculated according to the following formula. In the formula. ζh1——the first mode-shape damping ratio of horizontal gyration coupling vibration of natural foundation; ζh2——the second mode-shape damping ratio of horizontal gyration coupling vibration of natural foundation; ζψ——torsional damping ratio of natural foundation. 3.4.10 The damping ratio of the natural foundation of the buried foundation should be calculated by multiplying the damping ratio of the exposed foundation by the increase coefficient of the foundation buried depth to the damping ratio, and the damping ratio improvement coefficient should be calculated according to the following formula. In the formula. βz—the increase coefficient of the foundation buried depth to the vertical damping ratio; β——the increase coefficient of foundation buried depth on the damping ratio of horizontal turning or torsional turning. 3.4.11 When using the dynamic characteristic parameters of the natural foundation determined in Articles 3.4.2 to 3.4.10 of this standard to calculate the vibration displacement of the large block foundation on the natural foundation, the calculated vertical vibration displacement value should be multiplied by the reduction factor of 0.7, the horizontal vibration displacement value should be multiplied by a reduction factor of 0.85, and the foundation of impact machines and presses may not be reduced. Ⅱ pile foundation 3.4.12 The values of the dynamic characteristic parameters of the pile foundation shall meet the following requirements. 1 The dynamic parameters of prefabricated piles or cast-in-place piles should be determined by on-site tests; when there are no test conditions, they should be determined according to the provisions of Articles 3.4.13 to 3.4.22 of this standard; 2 The dynamic parameters of bored piles or other pile types should be determined by field tests; 3 The test method of the dynamic parameters of the pile foundation shall be determined according to the current national standard GB/T 50269 "Code for Testing the Dynamic Characteristics of the Foundation". 3.4.13 The compressive stiffness of the pile foundation shall be calculated according to the following formula. In the formula. Kpz——pile foundation compressive stiffness (kN/m); np——the number of piles; kpz——compressive stiffness of single pile (kN/m); Cpτi—the equivalent shear stiffness coefficient of the i-th layer of soil around the pile (kN/m3); Apτi—the pile surface area of the i-th layer of soil (m2); Cpz——Equivalent compressive stiffness coefficient of pile tip soil (kN/m3); Ap - cross-sectional area of the pile (m2). 3.4.14 When the pile spacing is 4 to 5 times the diameter of the pile or the side length of the section, the equivalent shear stiffness coefficient Cpτ value of each soil layer around the pile should be adopted according to Table 3.4.14. 3.4.15 When the pile spacing is 4 to 5 times the diameter of the pile or the side length of the section, the equivalent compressive stiffness coefficient Cpz of the soil layer at the pile end should be adopted according to Table 3.4.15. 3.4.16 The flexural rigidity of the pile foundation shall be calculated according to the following formula. In the formula. Kpθ, Kpф——bending stiffness of pile foundation around x......
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