My math skills are non existent beyond basic math, and I'm trying to figure out how to space holes evenly along a center line in an area. Let's say I have a rectulanglar block, 6" long ,less 1/4" on each end for a border and I want to evenly space 6- 3/4" holes. How do you figure that? My daughter-in-law says you can do that in one of those cheap home design programs. That would be ideal for me. Anyone use one of those programs that knows if they can be used for that? Thanks.
6"-2*(1/4") - 6*(3/4") --> only 5.5"-4.5" = 1" total space left between holes...is that what you really intend?
An even number evenly spaced would be half the distance from the middle to each of the first; and odd number would have the midpoint of one in the middle of the length.
It's not difficult but need more definition of the actual layout desired methinks; this doesn't sound like a useful arrangement even having no clue what the application is...
Starting with the left edge of the first hole at 9/64" from the left border, you will be 1/64" off, or 5/32" between the right edge of the sixth hole and the right hand border.
Well, this *is* basic math: all you need is simple arithmetic (addition, subtraction, multiplication, and division). What complicates this one is the use of a measuring system that's approximately a thousand years old.
You have a total of 6" less two 1/4" borders = 5 1/2" to put the holes in.
Six 3/4" holes take up 6 * 3/4" = 4 1/2" of that 5 1/2", leaving 1" for spaces between the holes.
Since there are 6 holes, there will be 5 spaces between them. You have 1" total to make 5 spaces, so each space will be 1/5".
The distance between the centers of the holes will be 3/4" (the width of the hole) plus 1/5" (the spacing between holes) -- this will be difficult to measure with tapes or rules marked in inches.
I suggest you choose one of the two options below instead.
Option 1
----------- Increase the size of the borders by 1/32" to 9/32". This will leave you 5
7/16" to put 4 1/2" worth of holes in, leaving 15/16" to divide among five spaces between holes.
15/16" divided among five spaces = 3/16" per space -- and *that* you *can* measure easily. This gives you a distance between centers of 3/4" + 3/16" =
15/16".
So mark the center of the first hole at 9/32" (the width of the border) plus
3/8" (*half* the width of the hole) = 21/32" in from one end. (3/8 = 6/16 =
12/32; 9/32 + 12/32 = 21/32)
Subsequent holes are centered every 15/16" from there:
A number of years ago, I was in Toronto on business. Having utterly failed in my attempts to find a metric tape measure at home, I asked one of the guys I was working with where I could find a hardware store. He wondered why; I told him -- and he asked in honest bewilderment what on earth an American would want with a metric tape measure. My answer was that I'm a woodworker, and solving problems such as this is FAR easier with measurements in millimeters, rather than fractional inches -- as you're about to see, too.
It's much easier to find metric tapes in American hardware stores now than it was in the 1980s. So go buy yourself a tape measure that has dual scales (inches and millimeters). That will make it easy to see the relationships between the two systems.
Then remeasure. You will find that:
- your block is 152mm long.
- you want a 6mm border at each end.
- you want to evenly space six 19mm holes.
152mm less two 6mm borders leaves (152mm - 6mm - 6mm) = 140mm.
Six 19mm holes occupy 6 * 19mm = 114mm
You have (140mm - 114mm) = 26mm available for the five spaces between the six holes, so there will be (26mm / 5) = 5.2mm between each hole. Ignore the point-two millimeters; you can't measure that fine anyway.
The holes will be centered every (19mm + 5mm) = 24mm.
The first hole should be a distance of 6mm (the width of the border) plus
9.5mm (half the width of the hole -- round it off to 10mm) = 16mm in from one end of the board.
Subsequent holes are centered every 24mm after that:
16mm + 24mm = 40mm
40mm + 24mm = 64mm
64mm + 24mm = 88mm
88mm + 24mm = 112mm
112mm + 24mm = 136mm And looky there: the last hole is (152mm - 136mm) = 16mm in from the end, same as the first one.
The proper conclusion to draw from the above is "I hate Imperial measurements." This problem is absolutely trivial with metric measurements (see my other post in this thread).
First, locate hole #1 and #6 (mark the centers on the work). Then connect those centers with a line.
Draw a second line through #1, and mark off six equal spacings on that second line (any spacing that comes out evenly on your ruler will do). Adjust a bevel so that one arm is on the secondary line, and the other arm connects #6 secondary to #6-actual. Then with that bevel set, trace from the other marks on the secondary line to the original line.
Do you *really* think that 0.35 millimeters (less than 14 thousandths of an inch) is going to be noticeable? Or are you just trying to be argumentative?
Had enough of that from SWMBO this past week, don't need it from you too.
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