How To Compute The Height Of The Modulus Of Elasticity
Description
This section is from the book "The English And American Mechanic", by B. Frank Van Cleve. Also available from Amazon: The English And American Mechanic.
How To Compute The Height Of The Modulus Of Elasticity
Rule
Divide the weight of the modulus of elasticity of the material by weight of 1 foot of it and the quotient will give the height in feet.
From a series of elaborate experiments by Mr. E. Hodgkinson for the Railway Commission, he deduced the following formulae for the extension and compression of cast and wrought iron: e e2
Cast-iron Extension : 13,934,040-----2,907,432,000 - = W.
l l2 c c2
Cast-iRon Compression: 12,931,560-----522,979,200 - = W, e and c rel l2 presenting the extension and compression, and l the length in inches.
Illustration
What weight will extend a bar of cast-iron, 4 inches square and 10 feet in length, to the extent of .2 inch?
2 .22 13,934,040X-------2,907,432,000-----= 23223.4 - 8076.2 = 15147.2, which X 4 ins.
120 1202
= 60588.8 lbs.
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