Cause-and-Effect Matrix Logic Verification Calculation

Engineering Calculation

Cause-and-Effect Matrix Logic Verification Calculation

Oct 2026

Direct Answer

The source reports 82 of 85 cause-and-effect functions verified (96.47%) and three failed functions; corrective action is required before final acceptance.

At a Glance

Item Source value / outcome
Total Cause-and-Effect Functions T 85 Nos.
Functions Successfully Verified V 82 Nos.
Functions Failed F 3 Nos.
Acceptance Target AT 100 %

 

Technical Calculation

1. Purpose

To verify that all programmed Cause-and-Effect (C&E) logic functions are correctly assigned and executed between initiating devices and controlled outputs in an integrated fire alarm system.

2. Engineering Objective

To calculate the percentage of verified Cause-and-Effect logic sequences and identify any unverified or failed functions before commissioning.

3. Applicable Standards

Standard Description
NFPA 72 National Fire Alarm and Signaling Code
IS 2189 Fire Detection & Alarm Systems
NBC India Part 4 Fire & Life Safety
OEM Programming Manual Cause-and-Effect configuration and testing

 

4. Design Inputs

Parameter Symbol Value Unit
Total Cause-and-Effect Functions T 85 Nos.
Functions Successfully Verified V 82 Nos.
Functions Failed F 3 Nos.
Acceptance Target AT 100 %

 

5. Assumptions

Each Cause-and-Effect function has a defined input, output and expected response. Verification is performed during integrated system testing.

6. Formula(s)

Verification Percentage = (Verified Functions ÷ Total Functions) × 100

7. Variables Explained

T = Total Functions; V = Verified Functions; F = Failed Functions.

8. Step-by-Step Calculation

Verification = (82 ÷ 85) × 100 = 96.47%
Failed Functions = 3

9. Worked Engineering Example

A project includes 85 programmed Cause-and-Effect functions. During integrated testing, 82 functions passed and 3 failed, resulting in a verification rate of 96.47%.

10. Engineering Output

Verification Rate: 96.47%
Verified Functions: 82
Failed Functions: 3
Status: Corrective action required before final acceptance.

11. Design Considerations

Verify every alarm, supervisory and fault sequence, HVAC shutdown, smoke control, lift recall, door release and suppression interface.

12. Common Design Mistakes

Missing output mapping, incorrect logic, duplicate programming, untested interfaces and undocumented revisions.

13. Practical Site Notes

Maintain signed Cause-and-Effect test records and update the approved matrix after any programming change.

14. Limitations

Final acceptance depends on complete integrated testing and OEM-approved programming.

15. Related Engineering Systems

FACP, BMS, Smoke Management, Lift Control, Access Control, Gas Suppression, PA/VA.

16. Cross References

Related FAQ: Cause-and-Effect Matrix
Related White Paper: VEP-001
Related Engineering Diagram: ED-016

17. SEO Meta Title

Cause-and-Effect Matrix Logic Verification Calculation | EC-016

18. SEO Meta Description

Engineering calculation to verify programmed Cause-and-Effect logic with a worked example.

19. URL Slug

ec-016-cause-and-effect-matrix-logic-verification

20. Keywords (15)

Cause and Effect Matrix, Fire Alarm Logic, Integrated Testing, NFPA72, IS2189, Fire Alarm Engineering, Commissioning, System Integration, Engineering Calculation, BMS Interface, Smoke Control, EPC, Consultant, FACP, Life Safety

21. AI Search Summary

Cause-and-Effect verification is measured by comparing successfully tested logic functions with the total programmed functions. In this example, 82 of 85 functions passed, achieving a verification rate of 96.47%, with 3 functions requiring corrective action before system acceptance.

Frequently Asked Questions

What is the verification percentage?

82 verified functions out of 85 equals 96.47%.

Can the system be treated as fully accepted?

The source says three functions failed and corrective action is required before final acceptance.

SEO & Publishing Details

SEO title: Cause-and-Effect Matrix Logic Verification Calculation | EC-016

Meta description: Engineering calculation to verify programmed Cause-and-Effect logic with a worked example.

URL slug: ec-016-cause-and-effect-matrix-logic-verification

Keywords: Cause and Effect Matrix, Fire Alarm Logic, Integrated Testing, NFPA72, IS2189, Fire Alarm Engineering, Commissioning, System Integration, Engineering Calculation, BMS Interface, Smoke Control, EPC, Consultant, FACP, Life Safety

AI search summary: Cause-and-Effect verification is measured by comparing successfully tested logic functions with the total programmed functions. In this example, 82 of 85 functions passed, achieving a verification rate of 96.47%, with 3 functions requiring corrective action before system acceptance.