1. The magnitude of the Area Moment of Inertia about the vertical centroidal axis of the built-up member is _____in4. 2. The magnitude of the Area Moment of Inertia about the centroidal z-axis (aka Polar Moment of Inertia about the centroidal origin) of the built-up member is _____in4. 3. The magnitude of the Radius of Gyration about the horizontal centroidal axis of the built-up member is _____in.

Structural Analysis
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ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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Sketch the cross-sectional picture of a W8x67 sitting on top of a W16x26 (the vertical centerlines are colinear).

  • NOTE: The webs are vertical.

 

1. The magnitude of the Area Moment of Inertia about the vertical centroidal axis of the built-up member is _____in4.

2. The magnitude of the Area Moment of Inertia about the centroidal z-axis (aka Polar Moment of Inertia about the centroidal origin) of the built-up member is _____in4.

3. The magnitude of the Radius of Gyration about the horizontal centroidal axis of the built-up member is _____in.

4. The magnitude of the Radius of Gyration about the vertical centroidal axis of the built-up member is _____in.

5. The magnitude of the Radius of Gyration about the centroidal z-axis (aka Polar Radius of Gyration about the centroidal origin) of the built-up member is _____in.

 

 

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Step 1

 

Given Data:

Built up member: W8*67, W16*26

It is asked to find moment of inertia about vertical centroidal axis, polar moment of Inertia about centroidal

and Radius of Gyration

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