Stress-Strength Analysis in Design for Reliability - Revision history

Lisa Hacker at 18:54, 18 September 2023

2023-09-18T18:54:06Z

← Older revision		Revision as of 18:54, 18 September 2023
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	<noinclude>{{Banner Weibull Examples}}		<noinclude>{{Banner Weibull Examples}}
	''This example appears in the [~~[Stress-Strength_Analysis#Example_2\|~~Life ~~Data Analysis Reference book]~~]''.		''This example appears in the [https://help.reliasoft.com/reference/life_data_analysis Life data analysis reference]''.

	</noinclude>		</noinclude>

Nicolette Young at 21:50, 23 December 2015

2015-12-23T21:50:25Z

← Older revision		Revision as of 21:50, 23 December 2015
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	The following picture shows the stress-strength tool and the calculated reliability of the current design.		The following picture shows the stress-strength tool and the calculated reliability of the current design.

	[[Image: Stress-strength example 2 current reliability.png\|center\|~~550px~~]]		[[Image: Stress-strength example 2 current reliability.png\|center\|700px]]

	The result shows that the current reliability is about 74.0543%, which is below the target value of 90%. We need to use the '''Target Reliability Parameter Estimator''' to determine the parameters for the strength distribution that, when compared against the stress distribution, would result in the target reliability.		The result shows that the current reliability is about 74.0543%, which is below the target value of 90%. We need to use the '''Target Reliability Parameter Estimator''' to determine the parameters for the strength distribution that, when compared against the stress distribution, would result in the target reliability.
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	Click '''Update''' to perform the stress-strength analysis again using the altered parameters for the strength distribution. The following plot shows that the calculated reliability is 90%. Therefore, in order to meet the reliability requirement, the component must be redesigned such that the eta parameter of the strength distribution is at least 8192.2385 hours.		Click '''Update''' to perform the stress-strength analysis again using the altered parameters for the strength distribution. The following plot shows that the calculated reliability is 90%. Therefore, in order to meet the reliability requirement, the component must be redesigned such that the eta parameter of the strength distribution is at least 8192.2385 hours.

	[[Image:Stress-strength example 2 Confirmed Result.png\|center\|~~650px~~]]		[[Image:Stress-strength example 2 Confirmed Result.png\|center\|700px]]

Kate Racaza: page linked to W++/A help file

2012-08-09T05:47:24Z

page linked to W++/A help file

← Older revision		Revision as of 05:47, 9 August 2012
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	</noinclude>		</noinclude>
			<!-- THIS PAGE IS LINKED TO THE WEIBULL++/ALTA8 HELP FILE -->
	Assume that the stress distribution for a component is known to be a Weibull distribution with beta = 3 and eta = 2000. For the current design, the strength distribution is also a Weibull distribution with beta =1.5 and eta=4000. Evaluate the current reliability of the component. If the reliability does not meet the target reliability of 90%, determine what parameters would be required for the strength distribution in order to meet the specified target.		Assume that the stress distribution for a component is known to be a Weibull distribution with beta = 3 and eta = 2000. For the current design, the strength distribution is also a Weibull distribution with beta =1.5 and eta=4000. Evaluate the current reliability of the component. If the reliability does not meet the target reliability of 90%, determine what parameters would be required for the strength distribution in order to meet the specified target.

Richard House at 07:51, 7 August 2012

2012-08-07T07:51:55Z

← Older revision		Revision as of 07:51, 7 August 2012
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	</noinclude>		</noinclude>
	Assume that the stress distribution for a component is known to be a Weibull distribution with beta = 3 and eta = 2000. For the current design, the strength distribution is also a Weibull distribution with beta =1.5 and eta=4000. Evaluate the current reliability of the component. If the reliability does not meet the target reliability of 90%, determine what parameters would be required for the strength distribution in order to meet the specified target.		Assume that the stress distribution for a component is known to be a Weibull distribution with beta = 3 and eta = 2000. For the current design, the strength distribution is also a Weibull distribution with beta =1.5 and eta=4000. Evaluate the current reliability of the component. If the reliability does not meet the target reliability of 90%, determine what parameters would be required for the strength distribution in order to meet the specified target.


	'''Solution'''		'''Solution'''

	The following picture shows the stress-strength tool and the calculated reliability of the current design.		The following picture shows the stress-strength tool and the calculated reliability of the current design.


	[[Image: Stress-strength example 2 current reliability.png\|center\|550px]]		[[Image: Stress-strength example 2 current reliability.png\|center\|550px]]


	The result shows that the current reliability is about 74.0543%, which is below the target value of 90%. We need to use the '''Target Reliability Parameter Estimator''' to determine the parameters for the strength distribution that, when compared against the stress distribution, would result in the target reliability.		The result shows that the current reliability is about 74.0543%, which is below the target value of 90%. We need to use the '''Target Reliability Parameter Estimator''' to determine the parameters for the strength distribution that, when compared against the stress distribution, would result in the target reliability.

	The following picture shows the Target Reliability Parameter Estimator window. In the '''Strength Parameters''' area, select '''eta'''. Set the Target Reliability to '''90%''' and click '''Calculate'''. The calculated eta is 8192.2385 hours.		The following picture shows the Target Reliability Parameter Estimator window. In the '''Strength Parameters''' area, select '''eta'''. Set the Target Reliability to '''90%''' and click '''Calculate'''. The calculated eta is 8192.2385 hours.


	[[Image:Stress-strength example 2 Result.png\|center\|650px]]		[[Image:Stress-strength example 2 Result.png\|center\|650px]]


	Click '''Update''' to perform the stress-strength analysis again using the altered parameters for the strength distribution. The following plot shows that the calculated reliability is 90%. Therefore, in order to meet the reliability requirement, the component must be redesigned such that the eta parameter of the strength distribution is at least 8192.2385 hours.		Click '''Update''' to perform the stress-strength analysis again using the altered parameters for the strength distribution. The following plot shows that the calculated reliability is 90%. Therefore, in order to meet the reliability requirement, the component must be redesigned such that the eta parameter of the strength distribution is at least 8192.2385 hours.


	[[Image:Stress-strength example 2 Confirmed Result.png\|center\|650px]]		[[Image:Stress-strength example 2 Confirmed Result.png\|center\|650px]]

Richard House at 05:53, 6 August 2012

2012-08-06T05:53:23Z

← Older revision		Revision as of 05:53, 6 August 2012
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	[[Image: Stress-strength example 2 current reliability.png~~\|thumb~~\|center\|550px]]		[[Image: Stress-strength example 2 current reliability.png\|center\|550px]]


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	[[Image:Stress-strength example 2 Result.png~~\|thumb~~\|center\|650px]]		[[Image:Stress-strength example 2 Result.png\|center\|650px]]


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	[[Image:Stress-strength example 2 Confirmed Result.png~~\|thumb~~\|center\|650px]]		[[Image:Stress-strength example 2 Confirmed Result.png\|center\|650px]]

Richard House at 07:44, 3 August 2012

2012-08-03T07:44:57Z

← Older revision		Revision as of 07:44, 3 August 2012
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	[[Image:Stress-strength example 2 Result.png\|thumb\|center\|~~550px~~]]		[[Image:Stress-strength example 2 Result.png\|thumb\|center\|650px]]


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	[[Image:Stress-strength example 2 Confirmed Result.png\|thumb\|center\|~~550px~~]]		[[Image:Stress-strength example 2 Confirmed Result.png\|thumb\|center\|650px]]

Kate Racaza: updated example

2012-07-30T04:42:07Z

updated example

← Older revision		Revision as of 04:42, 30 July 2012
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	''~~'Using~~ Stress-~~Strength~~ Analysis ~~to Determine the Required Strength Distribution'~~''		<noinclude>{{Banner Weibull Examples}}
			''This example appears in the [[Stress-Strength_Analysis#Example_2\|Life Data Analysis Reference book]]''.

	Assume that the stress distribution for a component is known ~~and it is~~ a Weibull distribution with beta=3 and eta=2000. For the current design, the strength distribution is also a Weibull distribution with beta =1.5 and eta=4000.		</noinclude>
			Assume that the stress distribution for a component is known to be a Weibull distribution with beta = 3 and eta = 2000. For the current design, the strength distribution is also a Weibull distribution with beta =1.5 and eta=4000. Evaluate the current reliability of the component. If the reliability does not meet the target reliability of 90%, determine what parameters would be required for the strength distribution in order to meet the specified target.
	~~: •~~ Evaluate the current reliability.
	~~: •~~ If the reliability does not meet the target reliability of 90%, determine what parameters would be required for the strength distribution in order to meet the specified target.


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	The following picture shows the stress-strength tool and the calculated reliability of the current design.		The following picture shows the stress-strength tool and the calculated reliability of the current design.

	~~[[Image: Stress-strength example 2 current reliability.png\|thumb\|center\|250px]]~~

	The result shows that the current reliability is about 74.05%, which is below the target value of 90%. We need to use the '''Target Reliability Parameter Estimator''' to determine the parameters for the strength distribution that would ~~be required to meet~~ the target.		[[Image: Stress-strength example 2 current reliability.png\|thumb\|center\|550px]]


			The result shows that the current reliability is about 74.0543%, which is below the target value of 90%. We need to use the '''Target Reliability Parameter Estimator''' to determine the parameters for the strength distribution that, when compared against the stress distribution, would result in the target reliability.

			The following picture shows the Target Reliability Parameter Estimator window. In the '''Strength Parameters''' area, select '''eta'''. Set the Target Reliability to '''90%''' and click '''Calculate'''. The calculated eta is 8192.2385 hours.

	The following picture shows the Target Reliability Parameter Estimator window. In the '''Strength Parameters''' area, select '''eta'''. Set the Target Reliability to '''90%''' and click '''Calculate''':

	[[Image:Stress-strength example 2 Result.png\|thumb\|center\|~~250px~~]]		[[Image:Stress-strength example 2 Result.png\|thumb\|center\|550px]]


	~~The calculated eta is 8192.2385 hours.~~ Click '''Update''' to perform the stress-strength analysis again using the altered parameters for the strength distribution.		Click '''Update''' to perform the stress-strength analysis again using the altered parameters for the strength distribution. The following plot shows that the calculated reliability is 90%. Therefore, in order to meet the reliability requirement, the component must be redesigned such that the eta parameter of the strength distribution is at least 8192.2385 hours.

	The following plot shows that the calculated reliability is 90%. Therefore, in order to meet the reliability requirement, the component must be redesigned such that the eta parameter of the strength distribution is at least 8192.2385 hours.

	[[Image:Stress-strength example 2 Confirmed Result.png\|thumb\|center\|~~250px~~]]		[[Image:Stress-strength example 2 Confirmed Result.png\|thumb\|center\|550px]]

Kate Racaza: moved Template:Example: Stress-Strength Analysis for Determing Strength Distribution to Stress-Strength Analysis in Design for Reliability: incorrect namespace

2012-07-30T04:25:06Z

moved Template:Example: Stress-Strength Analysis for Determing Strength Distribution to Stress-Strength Analysis in Design for Reliability: incorrect namespace

← Older revision	Revision as of 04:25, 30 July 2012
(No difference)

Kate Racaza at 16:24, 30 May 2012

2012-05-30T16:24:44Z

← Older revision		Revision as of 16:24, 30 May 2012
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	'''Using Stress-Strength Analysis to Determine the Required Strength Distribution'''		'''Using Stress-Strength Analysis to Determine the Required Strength Distribution'''

	Assume the stress distribution for a component is known and it is a Weibull distribution with beta=3 and eta=2000. For the current design, the strength distribution is also a Weibull distribution with beta =1.5 and eta=4000.		Assume that the stress distribution for a component is known and it is a Weibull distribution with beta=3 and eta=2000. For the current design, the strength distribution is also a Weibull distribution with beta =1.5 and eta=4000.

	: • Evaluate the current reliability.		: • Evaluate the current reliability.
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	'''Solution'''		'''Solution'''

	~~First, we need to create two empty Weibull++ standard folios and enter the distribution parameters for~~ the stress ~~and~~ strength ~~distributions. For example, for the stress distribution, it is:~~		The following picture shows the stress-strength tool and the calculated reliability of the current design.

	~~[[Image: Stress Distribution Example 2.png\|thumb\|center\|250px]]~~


	~~Then, we use the Stress-Strength~~ tool ~~to compare the two data sheets. The following figure shows~~ the reliability of the current design:

	[[Image: Stress-strength example 2 current reliability.png\|thumb\|center\|250px]]		[[Image: Stress-strength example 2 current reliability.png\|thumb\|center\|250px]]

	The ~~above~~ result shows that the current reliability is about 74.05%, which is below the target value of 90%. We need to use the '''Target Reliability Parameter Estimator''' to determine the parameters for the strength distribution that would be required to meet the target. ~~Click the following icon:~~		The result shows that the current reliability is about 74.05%, which is below the target value of 90%. We need to use the '''Target Reliability Parameter Estimator''' to determine the parameters for the strength distribution that would be required to meet the target.

	~~[[Image:Stress-strength example 2 target R icon~~.~~png\|center]]~~		The following picture shows the Target Reliability Parameter Estimator window. In the '''Strength Parameters''' area, select '''eta'''. Set the Target Reliability to '''90%''' and click '''Calculate''':


	~~Choose to calculate for eta under~~ '''Strength Parameters''', ~~set~~ the Target Reliability to 90% and click '''Calculate''':

	[[Image:Stress-strength example 2 Result.png\|thumb\|center\|250px]]		[[Image:Stress-strength example 2 Result.png\|thumb\|center\|250px]]
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	The calculated eta is 8192.2385 hours. Click '''Update''' to perform the stress-strength analysis again using the altered parameters for the strength distribution.		The calculated eta is 8192.2385 hours. Click '''Update''' to perform the stress-strength analysis again using the altered parameters for the strength distribution.

	The plot shows the calculated reliability ~~indeed~~ is 90%.		The following plot shows that the calculated reliability is 90%. Therefore, in order to meet the reliability requirement, the component must be redesigned such that the eta parameter of the strength distribution is at least 8192.2385 hours.

	[[Image:Stress-strength example 2 Confirmed Result.png\|thumb\|center\|250px]]		[[Image:Stress-strength example 2 Confirmed Result.png\|thumb\|center\|250px]]


	~~Therefore, in order to meet the reliability requirement, the component must be redesigned with the eta to be at least 8192.2385 hours.~~

Nicolette Young at 23:46, 25 April 2012

2012-04-25T23:46:36Z

← Older revision		Revision as of 23:46, 25 April 2012
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	The above result shows that the current reliability is about 74.05%, which is below the target value of 90%. We need to use the '''Target Reliability Parameter Estimator''' to determine the parameters for the strength distribution that would be required to meet the target. Click the following icon:		The above result shows that the current reliability is about 74.05%, which is below the target value of 90%. We need to use the '''Target Reliability Parameter Estimator''' to determine the parameters for the strength distribution that would be required to meet the target. Click the following icon:

	[[Image:Stress-strength example 2 target R icon.png~~\|thumb~~\|center~~\|250px~~]]		[[Image:Stress-strength example 2 target R icon.png\|center]]