An L-shaped angle section has a horizontal leg 140 mm wide and a vertical leg 220 mm high (both measured overall). Both legs are 20 mm thick. Find the distance x̄ of the centroid from the left (outer) edge of the vertical leg.
Find the height ȳ of the centroid of the T-section above its bottom edge.
Find the second moment of area Ix of the T-section about the horizontal axis x through its centroid.
A 150 mm × 200 mm plate has a circular hole of diameter 50 mm on its vertical centre line, with its centre 130 mm above the bottom. Find the second moment of area Ix about the horizontal axis through the centroid.
A welded I-section has a top flange 100 × 12 mm, a web 260 mm high and 8 mm thick, and a bottom flange 230 × 12 mm (width × thickness). Find its second moment of area Ix about the horizontal axis x through its centroid.
A 120 mm × 200 mm plate has a rectangular cut-out 60 mm wide and 30 mm high, centred on the vertical centre line with its centre 70 mm above the bottom. Find the second moment of area Ix about the horizontal axis through the centroid.
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