Problem_08_27

Problem_08_27 - Problem 8.27 Find the area & centroid...

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F 1 F 2 F 3 F 4 F 5 6.4 Problem 8.27 Find the area & centroid of the T section At 20 mm 4 mm 16 mm 4 mm + 144 mm 2 = := y bar 20 mm 4 mm 2 mm 16 mm 4 mm 12 mm + At := y bar 6.444 mm = Find total Moment of Inertia I x 2 144 mm 2 55.6 mm y bar + () 2 146 mm 2 55 mm 6.4 mm 2 + ... := I x 1.798 10 6 × mm 4 = Let V1 N := q 1 V I x 144 mm 2 55.6 mm y bar + 4.968 N m = := q 2 q 1 V I x 146 mm 2 55 mm 6.4 mm + 8.914 N m = := F 1 q 1 y bar 0.3 mm + 0.034 N = := F 2 q 1 55 mm 6.4 mm 0.241 N = := F 3 q 1 6.4 mm 0.3 mm + 0.033 N
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