Consider the beam's cross-sectional area shown in (Figure 1). Suppose that a = 3 in., b = 4 in. , and c = 1 in. Pt A. Determine the distance y¯to the centroid of the beam's cross-sectional area. Pt B. Determine the moment of inertia about the centroidal x′ axis.

Q: Find the moment of inertia about centroidal XX axis width=6 m Depth=10 m

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Q: Find the moment of inertia about centroidal XX axis Width 6 m Depth=10 m

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A: The moment of inertia about x-axis, Ixx=1220312-12-2×28312=7658.667 cm4

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Q: 1. Given the composite member shown below. Find the following: (a) the location of the horizontal…

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Q: Example 2.9 (ref.: Spiegel and Limbrunner, Example 8-5): The cross section of the timber beam shown…

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Q: Example :1. Determine the centroid. Find Moment of Inertia about AB C D 40 100 100 70 150 50 A

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Q: G2 4r/3r r = 10 mm 2 (1) G, 25 mm M 20 mm

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Moment of Inertia

Inertia can be termed as a resistance offered by a body to change its state. A rigid body initially at rest will apply resistance when acted by an external force that tends to change its state of rest or velocity, or a body initially at motion will provide resistance in changing its state of velocity or motion for coming to a state of rest. In other words, Newton's first law of motion describes the law of inertia of a rigid body.