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The figure shows cross-section of a beam subjected to bending. The area moment of inertia (in mm4) of this cross-section about its base is
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- 21439.06 mm4
- 11439.06 mm4
- 31439.06 mm4
- 21439 mm4
Correct Option: A
I base =I rect abt base -2I semicircle abt base
I =((IC.G +AY2) -2(IC.G +AY2)
= | + (bd)y2 | - 2 | + | × πr2y2 | ||||||||||||
12 | 64 | (2) | 2 |
= | + 10 × 20 × 102 | - 2 | × | + | × π× 42 × 102 | |||||||||
12 | 64 | (2) | 2 |
= 21439.06 mm4.