Gross Section Cracked Transformed Section Gross …

1 Table 8-2 Gross and Cracked moment of inertia of Rectangular and Flanged Section Gross Section Cracked Transformed Section Gross and Cracked moment of inertia b b Es n =. Ec b B =. kd (nA s ). d h bh3. Ig =. nAs 12. As Without compression steel kd = ( 2dB + 1 1 /B ). Without compression steel = bk 3d3 /3 + nA s (d kd). 2. Icr (n -1)A's With compression steel b b r = (n 1) A s (nA s ). d'. kd A' s kd = 2dB(1 + rd /d) + (1 + r ) (1 + r ) /B. 2.. d h = bk 3d3 /3 + nA s (d kd) + (n 1)A s (kd d ). nAs 2 2. Icr As With compression steel b Es b n =. Ec hf C = b w (nA s ) , f = hf (b b w ) (nA s ) , kd h yt [. = h 1/2 (b b w )h2f + b wh2 ] [(b b w )hf + b wh].

2 D nAs (b b w )h3f 12 + b wh3 12 + (b b w )hf (h hf 2 y t ) +. 2. Ig =. b wh(y t h 2). 2. Without compression steel bw Without compression steel kd = C(2d + hf f) + (1 + f) (1 + f) C. 2.. (b b w )h3f 12 + b wk 3d3 3 + (b b w )hf (kd hf 2 ) +. 2. Icr =. nA s (d kd). 2. b (n -1)A's b hf d' With compression steel A's kd kd = C(2d + hf f + 2rd ) + (f + r + 1) (f + r + 1) C. d 2. h . yt nAs (b b w )h3f 12 + b wk 3d3 3 + (b b w )hf (kd hf 2 ) +. 2. As Icr =. nA s (d kd) + (n 1)A s (kd d )2. 2. With compression steel bw 8-4.