Mathematics · Engineering Mechanics
A beam with a symmetrical T section has a top flange 50 mm wide and 20 mm thick, and a web 40 mm high and 10 mm thick. An additional plate, 10 mm thick and 60 mm wide, is welded above the flange. The moment of inertia of this symmetrical planar cross-section about an axis in its plane normal to the web and in line with the upper face of the 10 mm thick plate works out to 1,506,666.66 mm4. The centroidal axis of the combined area is 21.5 mm below this axis, normal to the web. The moment of inertia of this built-up area about the centroidal axis is (in mm4):
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 12,17,833.34
- 270,077.52
- 35,82,166.66✓
- 41.33 × 105
Correct answer
5,82,166.66
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