For each area shown, find the moment of inertia of the area with respect to the horizontal centroidal axis. 160mm-20 mm– 20 mm2 in. X 10 in.-120 mmplank40 mm120 mm 200 mm40 mm2 in.FIGURE P8-12FIGURE P8–13

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For each area shown, find the moment of inertia of the area with respect to the horizontal centroidal axis.

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter10: Statically Indeterminate Beams

Section: Chapter Questions

Problem 10.3.16P: Repeat Problem 10.3-15 using L = 3.5 m, max = 3 mm, and EI = 800 kN·m2.

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Concept explainers

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.

Question

For each area shown, find the moment of inertia of the area with respect to the horizontal centroidal axis.

160mm-
20 mm
– 20 mm
2 in. X 10 in.-
120 mm
plank
40 mm
120 mm 200 mm
40 mm
2 in.
FIGURE P8-12
FIGURE P8–13

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