ECOR
1606  Exercise 2
Imagine that you are doing some maintenance work on a steam crane (see the photos
supplied) and need to replace a section of the curved roof.
In order to have some steel
rolled to the correct radius, you need to determine exactly what this radius is.
Happily, as
an engineer, you can deal with this kind of thing.
Chord length
= 24”
Height at midchord
= 1.5”
You place a straight edge against the roof and measure the height of the roof at the mid
point of this straight edge (as shown above).
You then take the known length of the
straight edge (24”), the measured height (1.5”), apply a little of your high school
mathematics, and determine that the roof has a radius of 48.75” (or 4’ 0.75”).
The most interesting part of this assignment is coming up with the appropriate formula.
Once you have the formula, producing a program should be relatively simple.
Start by deriving the formula. Then produce a basic program that just reads in the chord
length and midchord height, computes the required radius, and outputs the result.
Once you have a basic program running (and once the necessary extra material has been
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 Spring '11
 duke
 Straight edge, chord length, Bytown Railway Society

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