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Three week ago I visited the Newton Excel Bach web site where I spotted the Dynamically Defined Dancing Pendulums NewtonExcelBach.
Having noticed that Doug had done a nice animation in Strand7 (a Finite Element Analysis program) Strand7, I thought “I can do that in Excel” and so I did.
This post will not go through the logic of constructing and animating the pendulums in Excel as I have described that over at Excelhero.com and readers who are interested are encouraged to visit there and explore the techniques used.
During the Pendulum project I came across two sub-projects which I felt are worthy of a post here at Chandoo.org as they are a great demonstration of some basic VBA techniques as well as demonstrating the ability of VBA to quickly simplify repetitive tasks.
Sample files are attached for Excel 97-2003 and Excel 2007/10 users to follow through the examples.
PENDULUM SIDE PROJECTS
The Pendulum project consists of 16 Pendulums. Each Pendulum requires 4 Named Formulas, meaning that the projects needs 64 Named Formulas for the 16 Pendulum, as well as adding 16 Series to the chart.
(The above animated GIF is a very poor representation of the smooth scrolling achieved in the Excel animation)
I thought it would be a great idea to see if these jobs could be automated and hopefully save some time during the process.
The result was 2 simple VBA routines which will be described below:
NAMED FORMULAS
Each Pendulum in the project was based around 4 Named Formulas
Named Formula for each Pendulum
p1Len =’1′!$B$9 The Length is stored on the worksheet.
p1o =OMax*SIN(SQRT(g/p1Len)*t) Current angular position of Pendulum 1 at time t
p1x =p1Len*SIN(p1o)*{0;1} Current orthogonal X position of Pendulum 1 at time t
p1y =-p1Len*COS(p1o)*{0;1} Current orthogonal Y position of Pendulum 1 at time t
The only difference between the formulas for Pendulum 1 and Pendulum 2 etc is the replacement of the names of p1 with p2 in the various Named Formulas and of the associated formulas.
On a worksheet Named Formulas a number of formulas were written which display the Named Formulas as required above. Then a small VBA routine was written which loads the Named Formulas.
How
On the Named Formulas worksheet, I have added two columns of formulas for the various Named Formulas required.
For the Pendulum Length Named Formulas
For the Pendulum Angular Position Named Formulas
For the Pendulum X Position Named Formulas
For the Pendulum Y Position Named Formulas
When the formula above are copied down they adjust for the various pendulums numbered 1 to 16 based on the row numbers.
I then setup a VBA routine, Load_Named_Ranges, shown below which loads the Named Formulas.
To Use
Select some or all of the required Named Formulas from the Name Column. That is the code will only load the Selected Named Formulas, allowing the user to load 1 or 2 Named Formulas, for testing purposes, or all the Named Formulas if you choose.
Then Execute the Load_Named_Ranges subroutine either using the Big Red Button or directly within the VBA Editor.
The following will load Named Formulas p3Len to p7Len.
The Load_Named_Ranges subroutine is shown below:
Sub Load_Named_Ranges() Dim c As Range For Each c In Selection ActiveWorkbook.Names.Add Name:=c.Text, RefersTo:=c.Offset(, 1).Text Next End SubWhat does the code do?
The code:
1. Defines the start and name of the subroutine,
Sub Load_Named_Ranges()
2. Defines a variable c as a Range object,
Dim c As Range
3. It then loops through each cell in the selection and assigns it to the variable ‘c’;
For Each c In Selection
4. It then adds a new Named Formula,extracting the Name from the Text Value of ‘c’ and extracts the formula from the cell directly to the right of cell ‘c’;
ActiveWorkbook.Names.Add Name:=c.Text, RefersTo:=c.Offset(, 1).Text
The Name and Formula (RefersTo) both use the Text of the cell, which is what is displayed.
5. It then loops through each cell in the selection until it has done them all;
Next
6. Defines the end of the subroutine;
End Sub
Lets Test It
To test the subroutine we will first delete all the Named Formulas beginning with “p”
Goto the Formula Ribbon Bar and select Name Manager
Select all the Named Formulas that begin with “P” and press the delete button
Accept any warnings
Try and Run the Pendulum’s
Nothing happens as there are no formulas
Ensure the Pendulum are turned off, as the code is still running behind the scenes.
Now Goto the Named Formulas Page
Select all the Named Formula Names in Name Column; B3:B66
Click the Load Named Formulas, button
Go back to Page 1 and try and run the Pendulums now.
ADD CHART SERIES
The second sub-project was the addition of 16 Chart series to the Chart, 1 for each Pendulum.
Using the logic of the Named Formulas VBA code above, the 16 Chart Series Names, X Values and Y values were developed using formulas on the Add Cht Series worksheet and then loading into a chart using a simple VBA routine.
The Add_Cht_Series subroutine is in the Add Cht Series sheet object in the VBA editor.
How
On the Add Cht Series worksheet, I have added three columns of formulas for the various Named Formulas required.
For the Pendulum Name, X Range and Y Range.
When these formulas are copied down they adjust for the various pendulums numbered 1 to 16.
I have then setup a VBA routine, Add_Chart_Series, shown below which loads the Named Formulas.
To use Select some or all of the required Chart Series from the Pendulum Name column.
Then Execute the Add_Chart_Series subroutine using the big red button.
The Add_Chart_Series subroutine is shown below:
Sub Add_Cht_Series() Dim sNumb As Integer Dim c As Range Worksheets(“1”).ChartObjects(“Chart 5”).Activate For Each c In Worksheets(“Add Cht Series”).Range(“B19:b20”) sNumb = ActiveChart.SeriesCollection.Count + 1 ActiveChart.SeriesCollection.NewSeries ActiveChart.SeriesCollection(sNumb).Name = c.Text ActiveChart.SeriesCollection(sNumb).XValues = c.Offset(, 1).Text ActiveChart.SeriesCollection(sNumb).Values = c.Offset(, 2).Text Next End Sub
What does the code do?
The code:
1. Defines the start and name of the subroutine,
Sub Add_Cht_Series()
2. Defines a variable sNumb as an integer, and a variable c as a Range object
Dim sNumb As Integer Dim c As Range3. It then activates the Chart containing the pendulum
Worksheets(“1”).ChartObjects(“Chart 5”).Activate
4. It then loops through each cell in the Range defined by the Range, in this case B19:B20 and assigns it to the variable ‘c’; You can adjust the Range to suit.
For Each c In Worksheets(“Add Cht Series”).Range(“B19:B20”)
5. It then counts how many existing series are in the chart and sets the next Series Number sNumb to that value + 1.
sNumb = ActiveChart.SeriesCollection.Count + 1
6. The next 4 lines add a new series to the chart and setup the new series Name, X Value and Y Values. The Name, X Value and Y Values are retrieved from the Text of the cell c and the adjacent two cells using a Range Offset modifier
ActiveChart.SeriesCollection.NewSeries ActiveChart.SeriesCollection(sNumb).Name = c.Text ActiveChart.SeriesCollection(sNumb).XValues = c.Offset(, 1).Text ActiveChart.SeriesCollection(sNumb).Values = c.Offset(, 2).Text7. It then loops through each cell in the selection until it has done them all;
Next
8. Define the end of the subroutine;
End Sub
Lets Test It
To test the subroutine we will first delete a few of the Chart Series
Select the Chart
Select two Pendulums noting the series Number of the Bobs eg: 9 & 10
Goto the Add Chart Series Worksheet
Note the Range Corresponding to the 2 missing Pendulum B11:B12
Goto the VBA Editor
Adjust the Line
For Each c In Worksheets(“Add Cht Series”).Range(“B11:B12”)
With your cursor in the Subroutine press F5 once only
Go back to Page 1 and you should now have 2 New Pendulum
Run the Pendulums now.
You will have to manually set the shape of the Bobs to a Circle and size 15 and re-arrange the order of the series to ensure they are in order, but you can practice that manually.
SUMMARY
The post has shown how using some very simple VBA and a bit of lateral thinking to put together some simple tools to simplify 2 common and repetitive tasks.
In the Named Formulas case, the code took less than 2 minutes for me to write and then another 5 minutes to do the formulas for the Named Formulas. I didn’t try but I am sure it would have taken a good 20+ minutes to enter 64 Named Formulas.
Writing this post took much longer than doing the whole Pendulum Project.
Two examples during my working career, where VBA code has been used to save massive amounts of time and money:
In the first case I wrote some code to combine data from several hundred workbooks with varying numbers of sheets up to 30 and differing quantities of data on each sheet, a task that could have taken weeks manually with the included opportunity for errors to be introduced, into a subroutine which took 30 minutes to run and gave a printout of the results including what files, sheets and rows of data were included in the import.
In a second case a Number of Workbooks, a Word template and some VBA code was used to replace a person whose sole job was to manage that data. This job saved the company $50k+ per annum and the task was given to a clerical person who could now do the task in their spare time.
LINKS
Huis Excel Hero Pendulum: http://www.excelhero.com/blog/
Pendulum Physics: http://hyperphysics.phy-astr.gsu.edu/hbase/pend.html
Newton Excel Bach: http://newtonexcelbach.wordpress.com/2011/05/25/dancing-pendulums-2/
What could your simplify by using automation within Excel ?
What could you simplify or speedup using Excel automation?
Let us know in the comments below:

























12 Responses to “29 Excel Formula Tips for all Occasions [and proof that PHD readers truly rock]”
Some great contributions here.
Gotta love the Friday 13th formula 😀
Great tips from you all! Thanks a lot for sharing! bsamson, particularly you helped me on a terribly annoying task. 🙂
(BTW, Chandoo, it's not exactly "Find if a range is normally distributed" what my suggestion does. It checks if two proportions are statistically different. I probably gave you a bad explanation on twitter, but it'd be probably better if you fix it here... 🙂 )
Great compilation Chandoo
For the "Clean your text before you lookup"
=VLOOKUP(CLEAN(TRIM(E20)),F5:G18,2,0)
I would like to share a method to convert a number-stored-as-text before you lookup:
=VLOOKUP(E20+0,F5:G18,2,0)
@Peder, yeah, I loved that formula
@Aires: Sorry, I misunderstood your formula. Corrected the heading now.
@John.. that is a cool tip.
Hey Chandoo,
That p-value formula is really great for a statistics person like me.
What a p-value essentially is, is the probability that the results obtained from a statistical test aren't valid. So for example, if my p value is .05, there's a 5% probability that my results are wrong.
You can play with this if you install the Data Analysis Toolpak (which will perform some statistical tests for you AND provide the P Value.)
Let's say for example I've got two weeks of data (separated into columns) with the number of hours worked per day. I want to find out if the total number of hours I worked in week two were really all the different than week one.
Week1 Week2
10 11
12 9
9 10
7 8
5 8
Go to Data > Data Analysis > T-Test Assuming Unequal Variances > OK
In the Variable 1 Box, select the range of data for week 1.
In the Variable 2 Box, select the range of data for week 2.
Check "Labels"
In the Alpha box, select a value (in percentage terms) for how tolerant you are of error.
.05 is the general standard; that is to say I am willing to accept a 95% level of confidence that my result is accuarate.
Select a range output.
Excel calculates a number of results: Average (mean) for each week's data, etc.
You'll notice however that there are two P Values; one-tail and two-tail. (one tail tests are for > or .05), the number of hours I worked in week two is statistically equivalent to the number of hours I worked in week one.
So here’s a way you might want to use this. You put up a new entry on your blog. You think it’s the best entry ever! So you pull your webstats for this week and compare it to last week. You gather data for each week on the length of time a visitor spends on your website. The question you’re trying to prove statistically is whether there’s an average increase in the amount of time spent on your website this week as compared to last week (as a result of your fancy new blog post). You can run the same statistical test I illustrated above to find out. Incidentally, it matters very little to the stat test whether the quantity of visitors differs or not.
Anyhow, the Data Analysis toolpack doesn't perform a lot of stat tests that folks like me would like to have access to. In those cases I have to either use different software, or write some very complicated mathematical formulas. Having this p-value formula makes my life a LOT easier!
Thanks!
Eric~
Fantastic stuf..One line explanation is cool.
Thanks to all the contributors
OS
Take FirstName, MI, LastName in access (you can fix it to work in excel) capitalize first letter of each and lowercase the rest and add ". " if MI exists then same for last name:
Full Name: Format(Left([FirstName],1),">") & Format(Right([FirstName]),Len([FirstName])-1),"") & ". ","") & Format(Left([LastName],1),">") & Format(Right([LastName],Len([LastName])-1),"<")
I teach excel, access, etc etc for a living and i have my access students build this formula one step at a time from the inside out to show how formulas can be made even if it looks complicated. Yes I know I could just do IsNull([MI]) and reverse the order in the Iif() function but the point here is to nest as many functions as possible one by one (also I illustrate how it will fail without the Not() as it is)
Extract the month from a date
The easiest formula for this is =MONTH(a1)
It will return a 1 for January, 2 for February etc.
if in a column we write the value of total person for eg. 10 if we spent 1.33 paise each person then how we get total amount in next column and the result will in round form plzzzzz solve my problem sir................... thank u
@Anjali
If the value 10 is in B2 and 1.33 paise is in C2 the formula in D2 could be =B2*C2
If the values are a column of values you can copy the formula down by copy/paste or drag the small black handle at the bottom right corner of cell D2
kindly share with me new forumulas.
How to convert a figure like 870.70 into 870 but 871.70 into 880 using excel formula ? Please help.