Which of the following equations will determine the centroidal x-axis for the beam cross sections shown in the Figure below? 0.441" S 200 x 34 A = 6.77 in2 12.5" y W 310 x 52 A = 10.3 in2 A. $$ \bar{y} = \frac{6.77 \left( 12.5 + \frac{0.441}{2} \right) + 10.3 \left( \frac{12.5}{2} \right)}{6.77 + 10.3} \text{ in.} $$ B. $$ \bar{y} = \frac{6.77(12.5) + 10.3(12.5)}{6.77 + 10.3} \text{ in.} $$ C. $$ \bar{y} = \frac{6.77 \left( \frac{0.441}{2} \right) + 10.3 \left( \frac{12.5}{2} \right)}{6.77 + 10.3} \text{ in.} $$ D. $$ \bar{y} = 6.77 \left( 12.5 - \frac{0.441}{2} \right) + 10.3 \left( \frac{12.5}{2} \right) \text{ in.} $$ E. $$ \bar{y} = \frac{6.77(12.5 + 0.441) + 10.3(12.5)}{6.77 + 10.3} \text{ in.} $$
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The problem asks to find the equation that determines the centroidal x-axis (which is the y-coordinate of the centroid, denoted as $\bar{y}$) for the given composite beam cross-section. The beam is composed of two parts: an S 200 x 34 section and a W 310 x 52 Show more…
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