Part a)Determine the moment of inertia of the shaded region around the ?−x− axis.??= ____mm4 Part b)Determine the moment of inertia of the shaded region around the ?−y−axis.??= ____mm4 [Question ID 615796] Consider the grey cross section of a beam and the xy-system of axes. The thickness of the horizontal part at the top and thevertical parts are each 6 mm. The horizontal dimensions shown at the bottom are between the centre lines of each vertical part. The y-coordinate ofthe centroid is y = -45.644 mm.Figure is not to scale.y112 mm+ 40 mm →40 mm →40 mm →40 mm →

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Determine the moment of inertia of the shaded region around the ?−x− axis. ??= ____mm4 Part b) Determine the moment of inertia of the shaded region around the ?−y−axis. ??= ____mm4

Determine the moment of inertia of the shaded region around the ?−x− axis. ??= mm4 Part b) Determine the moment of inertia of the shaded region around the ?−y−axis. ??= mm4

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Moments

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Question

Part a)

Determine the moment of inertia of the shaded region around the ?−x− axis.

??= ____mm4

Part b)

Determine the moment of inertia of the shaded region around the ?−y−axis.

??= ____mm4

[Question ID 615796] Consider the grey cross section of a beam and the xy-system of axes. The thickness of the horizontal part at the top and the
vertical parts are each 6 mm. The horizontal dimensions shown at the bottom are between the centre lines of each vertical part. The y-coordinate of
the centroid is y = -45.644 mm.
Figure is not to scale.
y
112 mm
+ 40 mm →40 mm →40 mm →40 mm →

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