# Reliability analysis for a series system with two limit functions and  𝑛 n components in each function

**URL:** <https://uqworld.org/t/reliability-analysis-for-a-series-system-with-two-limit-functions-and-n-components-in-each-function/3784>\
**Category:** Community Q&A and How To\
**Tags:** reliability\
**Created:** [August 20, 2024, 7:41am UTC](https://uqworld.org/t/reliability-analysis-for-a-series-system-with-two-limit-functions-and-n-components-in-each-function/3784 "2024-08-20T07:41:18Z")\
**Posts on this page:** 1\
**Page:** 1

<div class="post-metadata">

**Author:** ![Ali\_Jamali](https://uqworld.org/user_avatar/uqworld.org/ali_jamali/32/1772_2.png) [@Ali\_Jamali](https://uqworld.org/u/Ali_Jamali)\
**Post date:** [August 20, 2024, 7:41am UTC](https://uqworld.org/t/reliability-analysis-for-a-series-system-with-two-limit-functions-and-n-components-in-each-function/3784/1 "2024-08-20T07:41:18Z")

</div>

We have two limit states as described below:

```matlab
%--------------------------------------------------
Rc = 7.35 + 8.87 - d;

Rec = Dn50 .* (fhb .* (fH0 .* ((2.2 .* d - 1.2 .* hs) ./ (d - hb)) .* fN .* fbeta .* fskew .* fgrading - ((cot(alphad .* 3.14 ./ 180) - 1.05) ./ 2 .* Dn50) .* (hb - d)));
q_sigard2012 = (sqrt(9.81 .* Hmo.^3)) .* 0.2 .* exp((-G1 .* Rc) ./ (Hmo .* gama_bb .* gama_beta));
q = 10^(-5);

g2 = q - q_sigard2012;
g1 = (B - 2 .* Dn50) - landa .* Rec;

```

In a series system, how can we describe the failure probability of the system if we don’t know the contribution of each component? Specifically, how should the system’s limit state function ( g ) be defined?

`g = ?`