Consider the beam shown in (Figure 1). Suppose that a = 200 mm, b = 250 mm, c = 10 mm

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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Determine the moment of inertia about the y axis.

**Educational Website Transcription**

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### Beam Analysis

**Description:**

Consider the beam shown in **Figure 1**. Suppose that:

- \( a = 200 \, \text{mm} \)
- \( b = 250 \, \text{mm} \)
- \( c = 10 \, \text{mm} \)

---

**Figure Exploration:**

The figure illustrates the cross-section of an I-beam. The diagram is labeled with specific dimensions:

- **\( a \):** Represents the length of the flange on each side of the beam, measuring 200 mm.
- **\( b \):** Indicates the total height of the beam, which is 250 mm.
- **\( c \):** Represents the thickness of the flanges and web, measuring 10 mm.

The I-beam is symmetrical, with the web running vertically along the y-axis and the flanges running horizontally. The x-axis bisects the beam horizontally through the centroid, while the y-axis runs vertically through the center of the beam.

This type of beam is commonly used in construction due to its high strength-to-weight ratio.

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Transcribed Image Text:**Educational Website Transcription** --- ### Beam Analysis **Description:** Consider the beam shown in **Figure 1**. Suppose that: - \( a = 200 \, \text{mm} \) - \( b = 250 \, \text{mm} \) - \( c = 10 \, \text{mm} \) --- **Figure Exploration:** The figure illustrates the cross-section of an I-beam. The diagram is labeled with specific dimensions: - **\( a \):** Represents the length of the flange on each side of the beam, measuring 200 mm. - **\( b \):** Indicates the total height of the beam, which is 250 mm. - **\( c \):** Represents the thickness of the flanges and web, measuring 10 mm. The I-beam is symmetrical, with the web running vertically along the y-axis and the flanges running horizontally. The x-axis bisects the beam horizontally through the centroid, while the y-axis runs vertically through the center of the beam. This type of beam is commonly used in construction due to its high strength-to-weight ratio. ---
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