. The strength of materials; a text-book for engineers and architects. iral coils [ A,, = , ,, ,, , ^ \ length 01 column / Safe stress = fj, ^E 2 5 c c being the buckling factor. In obtaining c the radius ofgyration of the equivalent homogeneous section (see p. 183)is used, i: where A = A^ -f- m A,. I^. = equivalent second moment = L + (m — 1) A, r^ for section shown in Fig. 133a. Y being the moment of the section apart from the reinforce-ment, I^, = ^- (- [m — 1) A, r^ for circle b h^= --— -f (m — 1) A, r^ for rectangle Then safe load = fj, x (A, + m A,)Rankines formula can also be used i
. The strength of materials; a text-book for engineers and architects. iral coils [ A,, = , ,, ,, , ^ \ length 01 column / Safe stress = fj, ^E 2 5 c c being the buckling factor. In obtaining c the radius ofgyration of the equivalent homogeneous section (see p. 183)is used, i: where A = A^ -f- m A,. I^. = equivalent second moment = L + (m — 1) A, r^ for section shown in Fig. 133a. Y being the moment of the section apart from the reinforce-ment, I^, = ^- (- [m — 1) A, r^ for circle b h^= --— -f (m — 1) A, r^ for rectangle Then safe load = fj, x (A, + m A,)Rankines formula can also be used in the form _ _ 500 ^ 8000 Braced Columns, Struts, and Stanchions.—Strutsare often formed of roUed sections such as beams and channelsbraced together by diagonal bracing or plates. The strutthat failed in the Quebec Bridge was a braced strut, and thereport of the Commission states that there is not yet sufficient COLUMNS, STANCHIONS AND STRUTS 295 information for the design of such struts for very heavyloads.* For ordinary comparatively light work, however,. ^-N X y-^. Y —D ---^ ^ 5-Y ^^^^ -* P ^ I v^-^ ^^ i> o o a — o o o o o o s
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