3. (a) A beam has a cross-section shown in Figure 1a below. (i) Locate the centroid, relative to the corner marked R in

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3 A A Beam Has A Cross Section Shown In Figure 1a Below I Locate The Centroid Relative To The Corner Marked R In 1 (53.05 KiB) Viewed 13 times

3. (a) A beam has a cross-section shown in Figure 1a below. (i) Locate the centroid, relative to the corner marked R in Figure 1a. [2 marks] (ii) What are the values of the centroidal second moments of area (Iz and ly) and the product moment of area (lyz) of this beam cross-section? [6 marks] (ii) If two bending moments about its centroidal axes are applied on the beam (Mz = 5 kN·m and My = 10 kNm), find the locations of the maximum tensile and compressive bending stresses and determine their magnitudes. [6 marks] 60 mm 12 mm 60 mm z 12 mm 12 mm Figure 1a (not to scale)