Practice Problem 6-5 (a) | Back | Index | Next |
Given: A beam with triangular cross-section (b = 40 mm, h = 50 mm) and length L = 1.0 m is subjected to a point load at its mid-span of P = 6.0 kN. (Note that the neutral axis is located h/3 from the bottom of the beam). Req'd:
Determine the Moment of Inertia I of the beam [mm4]. |
Sol'n: The moment of inertia for a triangular area about its centroid is: I = bh3/36 = (40 mm)(50 mm)3/36 = 138,888 mm4 I = 138900 mm4 |
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