Q3. The 6m long simply supported beam AB, shown in Figure Q3a), has a cross-sectional area with an "I" shape as shown in

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Q3 The 6m Long Simply Supported Beam Ab Shown In Figure Q3a Has A Cross Sectional Area With An I Shape As Shown In 1 (107.57 KiB) Viewed 16 times

Q3. The 6m long simply supported beam AB, shown in Figure Q3a), has a cross-sectional area with an "I" shape as shown in Figure Q3b). The beam supports a triangular distributed load, with a 0 value at both ends, and a maximum value of Wo at the midspan. Do the following: (a) Derive the centroid position from the top of the cross-section, y [6 marks] [4 marks] (b) Calculate the second moment of area about the neutral axis (c) Calculate the maximum value Wo such that the maximum bending stress in the beam does not exceed 140 MPa. [10 marks] (d) Under the loading conditions determined at (c) calculate the stress at point C in the section (inner part of the flange, as defined in Figure 3b) at a distance of 2 m away from the support A (as indicated in figure 3a). Determine whether the stress at this point is compressive or tensile. [5 marks] 200 mm Wo ← B A 6m 182 mm a) b) Figure Q3: a) A loaded beam and b) its cross-section 2 m 6 mm C 6 mm 352 mm 6 mm