Figure shows the cross-section of a cast iron beam. Determine the moments of inertia of the section about horizontal axis passing through the centroid of the section.a)IXX= 19.97× 106 mm4b)IXX = 22.97 × 106 mm4c)IXX = 15.21× 106 mm4d)IXX = 17.11× 106 mm4Correct answer is option 'A'. Can you explain this answer?

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Figure shows the cross-section of a cast iron beam. Determine the moments of inertia of the section about horizontal axis passing through the centroid of the section.

a)
I_XX= 19.97× 10⁶ mm⁴
b)
I_XX = 22.97 × 10⁶ mm⁴
c)
I_XX = 15.21× 10⁶ mm⁴
d)
I_XX = 17.11× 10⁶ mm⁴

Correct answer is option 'A'. Can you explain this answer?

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Figure shows the cross-section of a cast iron beam. Determine the mom...

Given fig. is symmetrical about X axis and Y axis therefore its center of gravity will lie at the center of the rectangle.

Moment of inertia of the rectangular section about its horizontal axis passing through its centre of gravity, = bd³/12 = 120 x (130/2) = 21.97mm⁴and moment of inertia of the circular section about a horizontal axis passing through its centre of gravity,

Moment of inertia of the whole section about horizontal axis passing through the centroid of the section,

I_XX = (21.97 × 10⁶) – (2.010 × 10⁶) = 19.97 × 10⁶ mm⁴

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Figure shows the cross-section of a cast iron beam. Determine the mom...

Given fig. is symmetrical about X axis and Y axis therefore its center of gravity will lie at the center of the rectangle.

Moment of inertia of the whole section about horizontal axis passing through the centroid of the section,

I_XX = (21.97 × 10⁶) – (2.010 × 10⁶) = 19.97 × 10⁶ mm⁴

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Figure shows the cross-section of a cast iron beam. Determine the mom...

Determine the moments of inertia of the section shown in figure 3 about horizontal
and vertical axes passing through the centroid of the section.

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Figure shows the cross-section of a cast iron beam. Determine the moments of inertia of the section about horizontal axis passing through the centroid of the section.a)IXX= 19.97× 106 mm4b)IXX = 22.97 × 106 mm4c)IXX = 15.21× 106 mm4d)IXX = 17.11× 106 mm4Correct answer is option 'A'. Can you explain this answer?

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