The elasticity and resistance of the materials of engineering . True Channel Section,In Fig. 18 let r : ; as before, I - b - /, —^ 1 it is the batter or slope of the under side ! ! of the flange. 1 I If the area of the section is not de- I ^ j i—B duced from the weight:. Area of section= A = 2bt -\- ht, + j(^ -/,)... (49) The centre of gravity, G, can be foundby balancing a manilla, or other, on a knife edge ; or, analytically : ^^^ ^bi + y^ K -^-AKb ~ o {b + 2t,) ^ ^ ^^^^ A The moment of inertia about CD is : Art. 49.] TRUE CHANNEL SECTION. 427 If /j is very small compared with
The elasticity and resistance of the materials of engineering . True Channel Section,In Fig. 18 let r : ; as before, I - b - /, —^ 1 it is the batter or slope of the under side ! ! of the flange. 1 I If the area of the section is not de- I ^ j i—B duced from the weight:. Area of section= A = 2bt -\- ht, + j(^ -/,)... (49) The centre of gravity, G, can be foundby balancing a manilla, or other, on a knife edge ; or, analytically : ^^^ ^bi + y^ K -^-AKb ~ o {b + 2t,) ^ ^ ^^^^ A The moment of inertia about CD is : Art. 49.] TRUE CHANNEL SECTION. 427 If /j is very small compared with ^, and remembering thatbr is then essentially equal to s ; this last equation will become : i=^li±^iJ)t±Jb^_A.,^. . (52) The moment of inertia about FB is : / = ?^^ (53) 12 In any of these three cases : {Radius of gyratioiif = ~j (54) Deck Section. The head of this section will be considered circular in out-line, as shown in Fig. 19. Let a be the area of the circle C. If the area of the section is not deduced from the weight:Area of section = A=a-\-{d- h)t, ^ {b - t:) {t -{- y2 s) , . (55) If the centre of gravity, Gy is not found by balancing apattern on a knife edge, there will result, analytically : - _ ^{2d - Ji) -\-t,{d- Jif + bt- + s{b - /,) it^y^s)
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Keywords: ., book, bookcentury1800, booksubjectbuildingmaterials, bookyear1883
