The Elements of Mechanics of Materials a Text for Students in Engineering Cours

Cover The Elements of Mechanics of Materials a Text for Students in Engineering Cours
The Elements of Mechanics of Materials a Text for Students in Engineering Cours
Charles Edwin Houghton
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/sq. In. What will be the factor of safety against failure by bend- ing? (Column has square ends. ) 7. Solve problem l by the use of Rankine's formula. SOLUTION. The formula is P = - ^-^ A = 48 sq. In. , < = S, = 10, 000 Ib. / sq. In. For a maximum load, r 2 = = = 3, I = 120 A 4o LONG COLUMNS 141 in. Therefore 2 = 4800, and substituting these values, 48x10, 000 4800 Comparing the results obtained from the solution by the two formulas, we see that the allowable load from the former is about twice that obtained by the use of Rankine's formula. Therefore a factor of safety of 5 on Rankine's formula is equal to using a factor of 10 with Euler's formula. 8. Find the size of a circular wooden column 12 ft. Long to carry a load of 50 tons with a unit stress of 1200 Ib. /sq. In. Column has square and round ends. 9. A wooden column 15 ft. Long has a box section as shown in the ^ _ x _ _^ figure. Find the value of x so that the column will carry the greatest load possible. 10. If the safe unit stress 'for the column as given in problem 9 is 1000 Ib.

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