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Question
A hollow triangular section shown in figure below is symmetrical about its vertical axis.
Find the moment of inertia in mm4 of the section about the base BC.
A.
15 × 106
B.
12.84 × 106
C.
2.16 × 106
D.
17.16 × 106
Answer ( Option B)

12.84 × 106

Solution

Given: 
Base width of main triangle (B) = 180 mm; 
Base width of cut out triangle (b) = 120 mm; Height of main triangle (H) = 100 mm;
& Height of cut out triangle (h) = 60 mm. 
As we know that moment of inertia of the triangular section about the base BC,

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