#5,) GIVEN: FIND: Ix of the composite shape C12x3 12x30
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:### Problem #5:
#### Given:
The diagram illustrates a composite shape composed of two structural sections:
1. **C-Channel (C12 x 30)**: Positioned on the top of the composite shape. The C-Channel flanges point downwards.
2. **Wide Flange Beam (W8 x 31)**: Positioned vertically and forms the main stem of the composite shape.
#### Find:
Calculate \( I_x \) of the composite shape, which is the moment of inertia about the x-axis for the combined section.
---
### Diagram Explanation:
The diagram shows a T-shaped structure composed of:
- The **C12 x 30** channel horizontally on the top.
- The **W8 x 31** beam oriented vertically, forming the main vertical stem.
The challenge is to determine the moment of inertia about the x-axis for this entire configuration. This involves using the parallel axis theorem to combine the individual moments of inertia of each section.
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