Two 102 x 102 x 12.7 mm steel angles, two 520 x 16 mm steel plates and one 220 x 16 mm steel plate are welded to form a built-up (composite) section as shown. Calculate the moments of inertia of the built-up section with respect to the centroidal axes x'.

Two 102 x 102 x 12.7 mm steel angles, two 520 x 16 mm steel plates and one 220 x 16 mm steel plate are welded to form a built-up (composite) section as shown. Calculate the moments of inertia of the built-up section with respect to the centroidal axes x'.

International Edition---engineering Mechanics: Statics, 4th Edition

4th Edition

ISBN:9781305501607

Author:Andrew Pytel And Jaan Kiusalaas

Publisher:Andrew Pytel And Jaan Kiusalaas

Chapter9: Moments And Products Of Inertia Of Areas

Section: Chapter Questions

Problem 9.86RP: The flanged bolt coupling is fabricated by drilling 10 evenly spaced 0.5-in. diameter bolt holes in...

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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

Two 102 x 102 x 12.7 mm steel angles, two 520 x 16 mm steel plates and one 220 x 16 mm steel plate
are welded to form a built-up (composite) section as shown. Calculate the moments of inertia of the
built-up section with respect to the centroidal axes x'.
* 110mm * 110mm K
Information for angle shapes
L 102x102 x12.7
A=2420 mm?
I1-1=2.31x10° mm*
k2=2.31x10° mm
552 mm
a=30.0 mm
b=30.0 mm
102 mm
1-1 and 2-2 axes are the centroidal axes
of the angle shape
-*-260 mm --*--260 mm --X-

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