AND Gate Example - Revision history

Lisa Hacker at 21:01, 18 September 2023

2023-09-18T21:01:51Z

← Older revision		Revision as of 21:01, 18 September 2023
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	<noinclude>{{Banner BlockSim Examples}}		<noinclude>{{Banner BlockSim Examples}}
	''This example also appears in the [~~[Fault_Tree_Diagrams_and_System_Analysis\|~~System ~~Analysis Reference book]~~]''. </noinclude>		''This example also appears in the [https://help.reliasoft.com/reference/system_analysis System analysis reference]''. </noinclude>
	===AND Gate===		===AND Gate===

2015-12-11T20:36:59Z

Example

← Older revision		Revision as of 20:36, 11 December 2015
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	The figure below shows the analytic equation from BlockSim.		The figure below shows the analytic equation from BlockSim.

	[[Image:AND gate.png\|center\|~~782px~~\|link=\|]]		[[Image:AND gate.png\|center\|600px\|link=\|]]

2015-12-11T20:35:07Z

Example

← Older revision		Revision as of 20:35, 11 December 2015
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	The figure below shows the analytic equation from BlockSim.		The figure below shows the analytic equation from BlockSim.

	[[Image:AND gate.png\|center\|~~500px~~\|]]		[[Image:AND gate.png\|center\|782px\|link=\|]]

2015-12-11T20:34:25Z

Example

← Older revision		Revision as of 20:34, 11 December 2015
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	Consider a system with two components, ''A'' and ''B''. The system fails if both ''A'' and ''B'' fail. Draw the fault tree and reliability block diagram for the system. The next two figures show both the FTD and RBD representations.		Consider a system with two components, ''A'' and ''B''. The system fails if both ''A'' and ''B'' fail. Draw the fault tree and reliability block diagram for the system. The next two figures show both the FTD and RBD representations.

	<center>[[Image:2.png\|center\|200px\|]]		<center>[[Image:2.png\|center\|200px\|link=\|]]

	[[Image:10_3.png\|center\|200px\|]]</center>		[[Image:10_3.png\|center\|200px\|link=\|]]</center>

	The reliability equation for either configuration is:		The reliability equation for either configuration is:

2015-12-11T20:33:44Z

AND Gate

← Older revision		Revision as of 20:33, 11 December 2015
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	===AND Gate===		===AND Gate===

	[[Image:10_1.png\|center\|100px\|]]		[[Image:10_1.png\|center\|100px\|link=\|]]

	In an AND gate, the output event occurs if all input events occur. In system reliability terms, this implies that all components must fail (input) in order for the system to fail (output). When using RBDs, the equivalent is a simple parallel configuration.		In an AND gate, the output event occurs if all input events occur. In system reliability terms, this implies that all components must fail (input) in order for the system to fail (output). When using RBDs, the equivalent is a simple parallel configuration.

2013-06-11T16:49:42Z

Example

← Older revision		Revision as of 16:49, 11 June 2013
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	::<math>{{R}_{System}}={{R}_{A}}+{{R}_{B}}-{{R}_{A}}\cdot {{R}_{B}}\,\!</math>		::<math>{{R}_{System}}={{R}_{A}}+{{R}_{B}}-{{R}_{A}}\cdot {{R}_{B}}\,\!</math>

	The figure below shows the analytic equation from BlockSim 8.		The figure below shows the analytic equation from BlockSim.

	[[Image:AND gate.png\|center\|500px\|]]		[[Image:AND gate.png\|center\|500px\|]]

2012-09-17T21:24:59Z

← Older revision		Revision as of 21:24, 17 September 2012
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	[[Image:10_1.png\|center\|100px\|]]		[[Image:10_1.png\|center\|100px\|]]
	~~<math></math>~~

	In an AND gate, the output event occurs if all input events occur. In system reliability terms, this implies that all components must fail (input) in order for the system to fail (output). When using RBDs, the equivalent is a simple parallel configuration.		In an AND gate, the output event occurs if all input events occur. In system reliability terms, this implies that all components must fail (input) in order for the system to fail (output). When using RBDs, the equivalent is a simple parallel configuration.
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	The reliability equation for either configuration is:		The reliability equation for either configuration is:

	::<math>{{R}_{System}}={{R}_{A}}+{{R}_{B}}-{{R}_{A}}\cdot {{R}_{B}}</math>		::<math>{{R}_{System}}={{R}_{A}}+{{R}_{B}}-{{R}_{A}}\cdot {{R}_{B}}\,\!</math>

	The figure below shows the analytic equation from BlockSim 8.		The figure below shows the analytic equation from BlockSim 8.

	[[Image:AND gate.png\|center\|500px\|]]		[[Image:AND gate.png\|center\|500px\|]]

2012-08-17T07:11:13Z

← Older revision		Revision as of 07:11, 17 August 2012
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	<noinclude>{{Banner BlockSim Examples}}</noinclude>		<noinclude>{{Banner BlockSim Examples}}
			''This example also appears in the [[Fault_Tree_Diagrams_and_System_Analysis\|System Analysis Reference book]]''. </noinclude>
	===AND Gate===		===AND Gate===

2012-08-10T06:38:15Z

Example

← Older revision		Revision as of 06:38, 10 August 2012
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	====Example====		====Example====
	Consider a system with two components, ~~<math>~~A~~</math>~~ and ~~<math>~~B~~</math>~~ . The system fails if both ~~<math>~~A~~</math>~~ and ~~<math>~~B~~</math>~~ fail. Draw the fault tree and reliability block diagram for the system. The next two figures show both the FTD and RBD representations.		Consider a system with two components, ''A'' and ''B''. The system fails if both ''A'' and ''B'' fail. Draw the fault tree and reliability block diagram for the system. The next two figures show both the FTD and RBD representations.

	<center>[[Image:2.png\|center\|200px\|]]		<center>[[Image:2.png\|center\|200px\|]]

2012-08-07T07:08:54Z

Example