Problem 5 (15 points) Consider the beams shown in Figure. The dimensions $d = 300$ mm, $b_f = 100$ mm, $t_f = 20$ mm, and $t_w = 15$ mm: (a) Location of the centroid $\bar{C}(\bar{x}, \bar{y})=$ d $\bar{C}(\bar{x}, \bar{y})$ $t_w$ $t_f$ $b_f$ x y
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The I-beam is symmetric about the y-axis. Therefore, the x-coordinate of the centroid $\bar{x}$ will be half of the flange width $b_f$. Given dimensions: $d = 300$ mm (total depth of the beam) $b_f = 100$ mm (width of the flange) $t_f = 20$ mm (thickness of the Show more…
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