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Cantilever Structure (Posted on 2010-02-26) Difficulty: 3 of 5






The cantilever structure shown in the figure consists of 4n-1 struts of the same length plus one that is half that length. Each strut can handle a maximum tension force T before it will snap and a maximum compression force C before it will buckle. The structure is connected to a wall at points B and C. A weight W is attached at point A. The weight W is increased until two struts fail - one from tension and the other from compression.

What is the value of the ratio C/T if n = 25?

Consider the struts as weightless.

See The Solution Submitted by Bractals    
Rating: 3.5000 (2 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
Solution Bractals is correct | Comment 3 of 6 |
I have such a one track mind sometimes - as Bractals pointed out in his comment, I didn't really answer the question.  The true answer is 0.98, based on the analysis in my earlier comment.
  Posted by Kenny M on 2010-02-27 16:53:11
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