Contour Plots for Slab Elevation Data using MathCAD. John M. Clark Clark Engineers, Inc. May 8, 2013
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1 Contour Plots for Slab Elevation Data using MathCAD John M. Clark Clark Engineers, Inc. May 8, 2013
2 Contour Plots for Slab Elevation Data using MathCAD
3 Why use MathCAD when there are other contour plotting programs available? 3
4 Why use MathCAD when there are other contour plotting programs available? The power of MathCAD 4
5 Why use MathCAD when there are other contour plotting programs available? The power of MathCAD Plots in inches, mm, feet etc. 5
6 Why use MathCAD when there are other contour plotting programs available? The power of MathCAD Plots in Inches, mm, feet etc. Can be done by competent ACAD operator 6
7 What is MathCAD Live mathematical calculator 7
8 What is MathCAD Live mathematical calculator Equations are live Not hidden in cells like Excel 8
9 What is MathCAD Live mathematical calculator Equations are live Not hidden in cells like Excel Names are unique Can use subscripts & various fonts, Greek letters 9
10 What is MathCAD Live mathematical calculator Equations are live Not hidden in cells like Excel Names are unique Can use subscripts & various fonts, Greek letters Work with any units 10
11 What is MathCAD Live mathematical calculator Equations are live Not hidden in cells like Excel Names are unique Can use subscripts & various fonts, Greek letters Work with any units Can define your own units eg. pcf 11
12 What is MathCAD Live mathematical calculator Equations are live Not hidden in cells like Excel Names are unique Can use subscripts & various fonts, Greek letters Work with any units Can define your own units eg. pcf Can mix units eg. lbf * mm= kip* ft 12
13 What is MathCAD Live mathematical calculator Equations are live Not hidden in cells like Excel Names are unique Can use subscripts & various fonts, Greek letters Work with any units Can define your own units eg. pcf Can mix units eg. lbf * mm= kip* ft Results can be displayed in any unit system 13
14 What is MathCAD Live mathematical calculator Equations are live Not hidden in cells like Excel Names are unique Can use subscripts & various fonts, Greek letters Work with any units Can define your own units eg. pcf Can mix units eg. lbf * mm= kip* ft Results can be displayed in any unit system Never have to multiply or divide by 12 14
15 What is MathCAD Live mathematical calculator Equations are live Not hidden in cells like Excel Names are unique Can use subscripts & various fonts, Greek letters Work with any units Can define your own units eg. pcf Can mix units eg. lbf * mm= kip* ft Results can be displayed in any unit system Never have to multiply or divide by 12 Hundreds of built in functions (logical, statistical, math, matrices) 15
16 What is MathCAD Live mathematical calculator Equations are live Not hidden in cells like Excel Names are unique Can use subscripts & various fonts, Greek letters Work with any units Can define your own units eg. pcf Can mix units eg. lbf * mm= kip* ft Results can be displayed in any unit system Never have to multiply or divide by 12 Hundreds of built in functions (logical, statistical, math, matrices) Many Built in Units For length, time, temp., pressure, current, acceleration, currency, 16
17 What is MathCAD Live mathematical calculator Equations are live Not hidden in cells like Excel Names are unique Can use subscripts & various fonts, Greek letters Work with any units Can define your own units eg. pcf Can mix units eg. lbf * mm= kip* ft Results can be displayed in any unit system Never have to multiply or divide by 12 Hundreds of built in functions (logical, statistical, math, matrices) Many Built in Units For length, time, temp., pressure, current, acceleration, currency, All physical fields Many built in constants, e, R, K, F, c,, 17
18 What is MathCAD Live mathematical calculator Equations are live Not hidden in cells like Excel Names are unique Can use subscripts & various fonts, Greek letters Work with any units Can define your own units eg. pcf Can mix units eg. lbf * mm= kip* ft Results can be displayed in any unit system Never have to multiply or divide by 12 Hundreds of built in functions (logical, statistical, math, matrices) Many Built in Units For length, time, temp., pressure, current, acceleration, currency, All physical fields Many built in constants, e, R, K, F, c,, Complex Numbers 18
19 What is MathCAD Live mathematical calculator Equations are live Not hidden in cells like Excel Names are unique Can use subscripts & various fonts, Greek letters Work with any units Can define your own units eg. pcf Can mix units eg. lbf * mm= kip* ft Results can be displayed in any unit system Never have to multiply or divide by 12 Hundreds of built in functions (logical, statistical, math, matrices) Many Built in Units For length, time, temp., pressure, current, acceleration, currency, All physical fields Many built in constants, e, R, K, F, c,, Complex Numbers Write small programs for special conditions or functions 19
20 What is MathCAD Live mathematical calculator Equations are live Not hidden in cells like Excel Names are unique Can use subscripts & various fonts, Greek letters Work with any units Can define your own units eg. pcf Can mix units eg. lbf * mm= kip* ft Results can be displayed in any unit system Never have to multiply or divide by 12 Hundreds of built in functions (logical, statistical, math, matrices) Many Built in Units For length, time, temp., pressure, current, acceleration, currency, All physical fields Many built in constants, e, R, K, F, c,, Complex Numbers Write small programs for special conditions or functions Like a live visible program 20
21 What is MathCAD Live mathematical calculator Equations are live Not hidden in cells like Excel Names are unique Can use subscripts & various fonts, Greek letters Work with any units Can define your own units eg. pcf Can mix units eg. lbf * mm= kip* ft Results can be displayed in any unit system Never have to multiply or divide by 12 Hundreds of built in functions (logical, statistical, math, matrices) Many Built in Units For length, time, temp., pressure, current, acceleration, currency, All physical fields Many built in constants, e, R, K, F, c,, Complex Numbers Write small programs for special conditions or functions Like a live visible program Does pretty much all that spreadsheets will do and much more 21
22 What is MathCAD Live mathematical calculator Equations are live Not hidden in cells like Excel Names are unique Can use subscripts & various fonts, Greek letters Work with any units Can define your own units eg. pcf Can mix units eg. lbf * mm= kip* ft Results can be displayed in any unit system Never have to multiply or divide by 12 Hundreds of built in functions (logical, statistical, math, matrices) Many Built in Units For length, time, temp., pressure, current, acceleration, currency, All physical fields Many built in constants, e, R, K, F, c,, Complex Numbers Write small programs for special conditions or functions Like a live visible program Does pretty much all that spreadsheets will do and much more Clark Engineers, Inc. has used MathCAD since 1996 for all calculations 22
23 What is MathCAD Live mathematical calculator Equations are live Not hidden in cells like Excel Names are unique Can use subscripts & various fonts, Greek letters Work with any units Can define your own units eg. pcf Can mix units eg. lbf * mm= kip* ft Results can be displayed in any unit system Never have to multiply or divide by 12 Hundreds of built in functions (logical, statistical, math, matrices) Many Built in Units For length, time, temp., pressure, current, acceleration, currency, All physical fields Many built in constants, e, R, K, F, c,, Complex Numbers Write small programs for special conditions or functions Like a live visible program Does pretty much all that spreadsheets will do and much more Clark Engineers, Inc. has used MathCAD since 1996 for all calculations Built design sheets for our clients 23
24 Method Plot data in AutoCAD 24
25 Method continued Plot data in AutoCAD Export X, Y, Z coordinates to Excel 25
26 Method continued Plot data in AutoCAD Export X, Y, Z coordinates to Excel Copy data vectors to MathCAD 26
27 Step 1 Take accurate elevations of the foundation 27
28 Step 1 continued Take accurate elevations of the foundation See FPA paper SC012 for more information on data points 28
29 Step 1 continued Take accurate elevations of the foundation See FPA paper SC012 for more information on data points Locate points on accurate field drawing to ± 6 to 12 each way If there is an architectural floor plan available, use this to record points 29
30 Step 2 Make an accurate floor plan in AutoCAD 30
31 Step 2 Make an accurate floor plan in AutoCAD Set units to decimal 31
32 Step 2 Make an accurate floor plan in AutoCAD Set units to decimal Set bottom left and corner to 0,0 32
33 Step 2 Make an accurate floor plan in AutoCAD Set units to decimal Set bottom left and corner to 0,0 Add data points to AutoCAD drawing Must use AutoCAD point command Add Elevation labels as text 33
34 Step 3 For each elevation point, 34
35 Step 3 continued For each elevation point, Click on a single point 35
36 Step 3 continued For each elevation point, Click on a single point Right click 36
37 Step 3 continued For each elevation point, Click on a single point Right click Select properties, menu opens 37
38 Step 3 continued For each elevation point, Click on a single point Right click Select properties, menu opens Edit geometry and record elevation value for z 38
39 Step 3 continued Completed plot with elevation points and text for values. 39
40 Step 4 Data Extraction GO TO: Tools> Data Extraction> 40
41 Step 5 Select Create a new data extraction 41
42 Step 6 Create a file name for the data extraction: Projectname_ELDATA 42
43 Step 7 Select: Select object in drawing 43
44 Step 8 Select entire drawing to select points for contour plots 44
45 Step 9 Select objects cont. Check point box and select next 45
46 Step 10 Under Category Filter, uncheck everything except geometry 46
47 Step 10 Under Category Filter, uncheck everything except geometry Under Properties Filter uncheck X and Y position, leaving only Z position checked 47
48 Step 10 Under Category Filter, uncheck everything except geometry Under Properties Filter uncheck X and Y position, leaving only Z position checked Click next 48
49 Step 11 On final screen, select: Output to external file 49
50 Step 11 On final screen, select: Output to external file Save as name and file type desired (.xls) 50
51 Step 11 On final screen, select: Output to external file Save as name and file type desired (.xls) Click here to browse 51
52 Step 12 Data in Excel Excel Sheet
53 Step 13 Paste data into MathCad Create a variable for the first data column (usually x values) 53
54 Step 13 Paste data into MathCad In the red solid box Right click on the red box and select paste 54
55 Step 13 Paste data into MathCad Add correct units for the vector In this case inches Input vector Vector with units 55
56 Step 13 Paste data into MathCad Add correct units for the vectors In this case inches Use any desired units Output vector Units Changed output to feet 56
57 Step 13 Paste data into MathCad Repeat steps for Y and Z vector 57
58 Step 14 Data will automatically generate a contour plot, surface plot and polynomial of any selected order (n) data fit plot. Typical order for n to use is 1, 2, or 3 Contour Plot Contour Plot 58
59 Step 14 continued You will probably have to adjust X and Y scale 59
60 Raw Data Plot Surface plot These views can be rotated
61 Polynomial Plot These views can be rotated 61
62 Step 15 Adjust scales as required for each plot. For surface plots the Z scale will also have to be adjusted eg: If min elev= -4 ¾ in and max elev= 0.9 in, select say -5 to 1.0 and so on 62
63 Step 15 continued Select number of spaces for convenient vertical scale In this case 6 or 12 63
64 Step 16 Iterate on the polynomial order, usually 2 nd or 3 rd order is ok. Do not use higher than 4 th order. 64
65 Step 17 Once the contour plot is set, Copy and Paste floor plan into excel Zoom in on the floor plan and select all desired members Copy and paste contour plot into excel 65
66 Step 18 Send the contour plot to the back and the floor plan to the front 66
67 Step 19 Align the plots so that the contour plot is aligned with the floor plan 67
68 Step 20 Areas of the contour that are outside the floor plan can be filled by pasting white filled areas using excel drawing tools, or group pictures and edit in Paint what ever is easiest 68
69 Step 21 Select all areas of the final plot and group them 69
70 Step 22 Copy and paste the finished plot to your report document as required 70
71 MathCAD Sheet This MathCAD sheet can be obtained free from by providing three documented appropriate references (engineers, architects, scientists, CAD technicians, contractors etc.) who are not members of FPA. 71
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