Applied Mechanics a Treatise for the Use of Students Who Have Time to Work Expe
Applied Mechanics a Treatise for the Use of Students Who Have Time to Work Expe
John Perry
The book Applied Mechanics a Treatise for the Use of Students Who Have Time to Work Expe was written by author John Perry Here you can read free online of Applied Mechanics a Treatise for the Use of Students Who Have Time to Work Expe book, rate and share your impressions in comments. If you don't know what to write, just answer the question: Why is Applied Mechanics a Treatise for the Use of Students Who Have Time to Work Expe a good or bad book?
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Now if the slope of the curve of Fig. 268 be studied as we studied the curve of Art. 338, we shall find that j-f is negative from x = to X = o A, and as y is positive so that is positive, we must use - -~ 2 on the right-hand side. If the student tries he will find that y = a cos. X \ / . . (2) satisfies (1) whatever value a may have. When x = we see that y = a, so that the meaning of a is known to us ; it is the deflection of the strut in the middle. The student is instructed to follow carefull...y the next step in our argument. When x ~ I, y = 0. Hence How can this be true? Either a = 0, or the cosine is 0. Hence, if bending occurs, so that a has some value, the cosine must be 0. Now if the cosine of an angle is 0, the angle must be - or 2 2 or, etc. If we confine our attention to =, the condition that bending occurs is TT El IT 2 . is the load which will produce bending. This is called Euler's law of strength. It is easy to see why we confine our attention to -^ as it gives the least value of w- The meaning of the other cases is that y is assumed to be one or more times between x = and x = I, so that the strut has points of inflexion.
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