This standard specifies the structural reliability design method of products characterized by the stress-strength model (stress and strength are normal variables and are independent of each other). It is applicable to the structural strength design of parts, components and assemblies of mechanical products, the overall structure of various buildings, and the structural and foundation design of the components; it can also be used as a reference for the parameter design of non-structural devices. GB 10093-1988 Probabilistic limit state design (normal-normal mode) GB10093-1988 Standard download decompression password: www.bzxz.net
This standard specifies the structural reliability design method of products characterized by the stress-strength model (stress and strength are normal variables and are independent of each other). It is applicable to the structural strength design of parts, components and assemblies of mechanical products, the overall structure of various buildings, and the structural and foundation design of the components; it can also be used as a reference for the parameter design of non-structural devices.

National Standard of the People's Republic of China
Probabilistic limit states design (Normal - Normal mode)
1 Subject content and scope of application
UDC 519. 21
GB 10093 .88
This standard specifies the structural probability design method of products characterized by the stress-strength model (stress and strength are normal variables and are independent of each other). It is applicable to the structural strength design of parts, components and assemblies of mechanical products, the overall structure of various buildings, and the component and foundation design of synthetic structures; it can also be used as a reference for non-structural parts, such as the parameter design of components. 2 Reference standards
GB3187 Basic terms and definitions of reliabilityGB3358 Statistical terms and symbols
GBI83 General symbols, measurement units and basic terms for building structure designStatistical distribution numerical table
GB4086.14086.6
3 Symbols
Stress random variable
Strength random variable
Structural reliability
Mean of stress
Mean of strength
Standard deviation of stress
Standard deviation of strength
Coefficient of variation of stress||tt ||Coefficient of variation of strength
Reliability coefficient
Standard value of stress
Standard value of strength
Reliability index of structure
Confidence level
Sample size
Sample mean
Explanation variance
Approved by the State Administration of Technical Supervision on December 10, 1988 301
Implementation on October 1, 1989
1-quantile of the distribution with degrees of freedom
4 Probabilistic limit state design expression
4.1 Design expression expressed by mean:
GB 10093--88
ri-(n)
When (rs, Cvr are known, the design expression expressed by the mean is: Mu ypus
Where:
1 + βc + cEs -- pacPncB
1--(BCrR)
And it is uniquely determined by the given structural reliability P, that is: Ps=
√2 yuan J
During design, the β value can be determined by looking up the standard normal distribution table according to the P: value. Substituting the β value determined by formula (3) into formula (2) is appropriate (rs, Cvr When unknown, the sample of stress or (and) strength is obtained: n
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Then the estimated value of the coefficient of variation of stress or (and) strength Cvs or (and) Cvn is approximately: Cw or (and) Cvn =
[xi-a(n - (+ + ()(n=) )
1(s/5)2
Substituting C or (and) C and the β value determined by formula (3) into formula (2) yields yr. 4.2 Design expression expressed in terms of standard values: When Crs and Cvn are known, the design expression expressed in terms of standard values ​​is: FAR VAFA
Where:
l - KanCr
I+ KpsGvs
Fes = us + Apst
Frn - pn -- Kpno
（3）
.（6）
K# is the percentile of the standard normal distribution, which can be selected by the designer according to the purpose and feasibility requirements of the product. For example, take the stress limit with a confidence level of 99%, and F take the lower limit of the strength with a confidence level of 95%, then K is equal to 2.33 and K is equal to 1.65. When cCn is known, estimate Cs or (and) Cr according to formula (4), and substitute it into formula (6) to obtain x. 5 Calculation of design strength
5.1 The critical value of the design average strength is: us. 5.2 The critical value of the design strength standard value is: ns. 6 Example
Design a fire screen body so that its structural reliability is 0.9999. Given that Ct is equal to 0.15 and ℃ is equal to 0.16, calculate the reliability coefficient 305
GB 10093---88
Given the given Ps value of 0.9999. Check the standard normal distribution table to get: 6-= 3.72
Calculated from (2):
JF = 2.7027
Additional remarks:
This standard was proposed by the National Technical Committee for the Application of Statistical Methods for Standardization. This standard was drafted by the Fujian Normal University Working Group of the Technical Committee on Reliability Statistical Methods. The main drafters of this standard are Lin Zhongmin, Xu Furong, Wang Shan, and Gao Pengxia 306
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