Hans van de Weijgert

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Herbert Paul
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1 An Algorithm for the UK Graphical Method facilitating automated assessment of intumescent coatings By Hans van de Weijgert MSc MIFireE MBEng Eur Ing International Fire Consultants Ltd

2 How does the UK Graphical Method work? Based upon a scatter plot Inverse Section Factor against Performance Time Curves are drawn based upon best fit of data points with the same DFT At least three points are believed necessary for each curve One point may be a baseline point of 10 minutes performance

3 How does the UK Graphical Method work?

4 Problems with the UK Graphical method Data points rarely have the same DFT Data sets are manipulated to facilitate the method Three data points for a nominal DFT are rarely available A general trend is adopted The best fit a straight line or curve? The position and shape of the best fit depends upon the assessors judgement

5 UK Graphical Method based upon two dimensional scatter plot Inverse Section Factor against Performance Time Example, consider three data points: (x1,y1) = (time1, V/A1) = (65, ) with DFT = 1.372mm (x2,y2) = (time2, V/A2) = (53, ) with DFT = 0.811mm (x3,y3) = (time3, V/A3) = (63, ) with DFT = 1.407mm The problem is to plot the performance for DFTs of 0.9, 1.0, 1.1, 1.2, 1.3 and Interpolation by hand allows the performance to be plotted

6 UK Graphical Method based upon two dimensional scatter plot Steel Temperature 462 C: Columns

7 UK Graphical Method based upon two dimensional scatter plot Steel Temperature 462 C: Columns

8 UK Graphical Method based upon two dimensional scatter plot Steel Temperature 462 C: Columns

9 Rogue data points Rogue data points are beyond the scope of the method when carried out by hand Data points are often omitted for this reason Algorithm developed by can handle this

10 Conflicting positions of data points In some cases the data points do not fit the expected pattern Ste el Tempe rature 462 C: Columns R o g ue D a ta P o int

11 Algorithm for UK Graphical Method developed by Current method attempts to solve a 3- dimensional problem in a 2-dimensional format Algorithm allows for 3-dimensions to be considered Accounts for relationship between Inverse Section Factor and Performance time Accounts for relationship between Inverse Section Factor and DFT Accounts for the relationship between DFT and Performance time

12 Example Data Sets S teel Temperature 350 C: Columns

13 Example Data Sets S teel Temperature 400 C: Columns

14 Example Data Sets S teel Temperature 450 C: Columns

15 Example Data Sets S teel Temperature 500 C: Columns

16 Example Data Sets S teel Temperature 550 C: Columns

17 Example Data Sets S teel Temperature 600 C: Columns 0.7 6

18 Example Data Sets S teel Temperature 650 C: Columns

19 Example Data Sets S teel Temperature 700 C: Columns 0.7 6

20 Example Data Sets S teel Temperature 750 C: Columns 0.7 6

21 Checking existing data sets and assessments based on the UK Graphical Method carried out by hand Checking can be carried out quickly Comparison shows: The curves are not curves at all Data points are frequently omitted Manipulation of data introduces inaccuracy

22 Advantages of using the algorithm for the UK Graphical Method Exact prediction No manipulation of data to facilitate use of the method No need to omit data Repeatability Independent of the assessor No subjectivity, estimation or personal judgement

23 An Algorithm for the UK Graphical Method facilitating automated assessment of intumescent coatings THANK YOU ANY QUESTIONS?

3D Interpolation method for intumescent coatings

Date: 18 June 2006 3D Interpolation method for intumescent coatings The 3D Interpolation method is an assessment method for the characterisation of intumescent coatings for the protection of structural