# HW9 - HOMEWORK PROBLEMS Week 9 Due Friday 11 November 1...

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HOMEWORK PROBLEMS Week 9: Due Friday 11 November 1. Find the distance c defining the centroid C of the symmetric beam section of Figure 1 and hence find the centroidal second moment of area (moment of inertia) I x for bending about a horizontal axis. C c 100 50 15 15 15 all dimensions in mm Figure 1 2. The steel beam in Figure 2(a) is loaded by two equal forces P as shown. A strain gauge located at the bottom of the section records a tensile strain ε x = 0 . 6 × 10 - 3 . The cross-section of the beam is shown in Figure 2(b). Determine the value of P . ( E steel = 210 GPa). A B P P 400 80 80 80 strain gauge 2 2 12 14 (a) (b) all dimensions in mm. Figure 2 1

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Figure 3 shows a composite beam that is manufactured by bolting two 230 × 25 mm rect- angular plates to a standard I-beam. The second moment of area of the I-beam without the stiffeners about the horizontal axis is 764 × 10 6 mm 4 . Find the corresponding second moment of area of the composite beam.
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HW9 - HOMEWORK PROBLEMS Week 9 Due Friday 11 November 1...

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