Which of the following is the effective width of the flange of a monolithic L-beam where l0 is distance between points of zero moment, Df is depth of flange, bw width of web, beffective width of flange, b is actual width of flange?

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JKSSB JE CE 2021 Official Paper Shift 3 (Held on 28 Oct 2021)
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  1. \(\rm b_f = \frac{l_0}{\frac{l_0}{b} + 4 } + b_w\)
  2. \(\rm b_f = \frac{2l_0}{\frac{l_0}{b} + 4 } + b_w\)
  3. \(\rm b_f = \frac{l_0}{12 }+ b_w + 3 D_f\)
  4. \(\rm b_f = \frac{l_0}{6 }+ b_w + 6D_f\)

Answer (Detailed Solution Below)

Option 3 : \(\rm b_f = \frac{l_0}{12 }+ b_w + 3 D_f\)
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Detailed Solution

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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

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