The elasticity and resistance of the materials of engineering . ( aJe -^ t^ {d - h - t - s) -^ th^ -\- - {b^ - tf)1= .(58) 12 brIf /- is small as compared with b, so that essentially — = s: J ^ ZctJf + Atj {d - h ~ t -s) -^ (4/ + s)b^ ^ , . 48 In all cases: Art. 49-J ANGLE SECTioisr. 429 (Radius of gyratiorif = — (60) Angle Section about Oblique Axis, The angle iron is here supposed to be equal legged, and theaxis about which the moment of inertia is taken, passes throughthe centre of gravity (before found in this Art.) and cuts thesides / at an angle of 45°. In Fig. 20, G is the centre of gra
The elasticity and resistance of the materials of engineering . ( aJe -^ t^ {d - h - t - s) -^ th^ -\- - {b^ - tf)1= .(58) 12 brIf /- is small as compared with b, so that essentially — = s: J ^ ZctJf + Atj {d - h ~ t -s) -^ (4/ + s)b^ ^ , . 48 In all cases: Art. 49-J ANGLE SECTioisr. 429 (Radius of gyratiorif = — (60) Angle Section about Oblique Axis, The angle iron is here supposed to be equal legged, and theaxis about which the moment of inertia is taken, passes throughthe centre of gravity (before found in this Art.) and cuts thesides / at an angle of 45°. In Fig. 20, G is the centre of grav-ity and HK the The moment of inertia about HK is : jr^ 2l^/ _ (^^ _ ty\ + /{/ - (2X, - y^ t)\^ ^ ^^^^ If A is the area of cross section : (Radius of gyratioTif = ^ (62) If a long column has the same degree of fixedness or free-dom in all directions, the least value of the square of the ra-dius of gyration must be taken for insertion in Gordons for-mula; because in the plane of that radius the column will offerthe least resistance to flexure. 430 GORDONS FORMULA. [Art. 50. Art. 50.—Gordons Formula for Long Columns. Since flexure takes place, if a long column is subjected to athrust in the direction of its length, the greatest intensity ofstress in a normal section of the column may be considered ascomposed of two parts. In fact, the condition of stress in anynormal section of a long column is that of a uniformly varyingsystem composed of a uniform stress and a stress couple. Inorder to determine these two parts let 5 represent the area ofthe normal cross section ; /, its moment of inertia about ana
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Keywords: ., book, bookcentury1800, booksubjectbuildingmaterials, bookyear1883
