A hollow rectangular (box) section has outer width B = 260 mm, outer height H = 400 mm and a uniform wall thickness t = 20 mm. Find its second moment of area Ix about the horizontal centroidal axis x.
A circular tube has outside diameter D = 60 mm and inside diameter d = 32 mm. Find its second moment of area Ix about a diameter.
A 100 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 100 mm × 300 mm plate has a circular hole of diameter 30 mm on its vertical centre line, with its centre 105 mm above the bottom. Find the second moment of area Ix about the horizontal axis through the centroid.
A symmetric I-section has flanges 130 mm wide and 10 mm thick, an overall depth of 340 mm and a web 8 mm thick. It carries a bending moment of 150 kN·m about the axis x. Find the size of the bending stress σj at the junction of the web and the top flange.
A 100 mm × 200 mm plate has a rectangular cut-out 50 mm wide and 20 mm high, centred on the 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.
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