The effective width of the simply supported flanged beam with Df = 100 mm, l0 = 12000 mm, bw = 350 mm having d = 500 mm, Fe 415 steel grade and M 20 grade is

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BPSC AE Paper 5 (Civil) 14 Oct 2022 Official Paper
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  1. 2950 mm
  2. 1990 mm
  3. 1950 mm
  4. 2590 mm

Answer (Detailed Solution Below)

Option 1 : 2950 mm
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Concept:

Effective Width of Flange

Monolithic Beams

T – Beams

\({b_f} = {b_w} + \frac{{{l_o}}}{6} + 6{d_f}\)

L – Beams

\({b_f} = {b_w} + \left( {\frac{{{l_o}}}{12} + 3{d_f}} \right)\)

Isolated Beams

T – Beams

\({b_f} = {b_w} + \frac{{{l_o}}}{{\frac{{{l_o}}}{b} + 4}}\)

L – Beams

\({b_f} = {b_w} + \frac{{0.5 \times {l_o}}}{{\frac{{{l_o}}}{b} + 4}}\)

Where

bf = effective width of flange

lo = distance between points of zero moments in the beam

bw = breadth of the web

df = thickness of the flange, and

b = actual width of the flange

\({b_f} = {b_w} + \frac{{{l_o}}}{6} + 6{d_f}\)

l0 = 12000 mm, df = 100 mm, bw = 350 mm

\({b_f} = {350} + \frac{{{12000}}}{6} + 6\times{100}\)

bf = 2950 mm

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