how to solve this question step by step **Problem 10.1**: The figure shows the cross section of a beam made by gluing four planks together. Determine the moment of inertia of the cross section about the x-axis.### Description of the DiagramThe diagram illustrates a hollow square cross-section constructed by combining four planks:1. **Outer Dimensions**: - The overall outer dimensions of the square cross-section are 300 mm by 300 mm. This is indicated by the grid margins measuring 150 mm from the y-axis on both sides. 2. **Inner Dimensions**: - The hollow square area inside measures 200 mm by 200 mm. This area is separated by two 60 mm wide sections from each outer edge, as depicted on each side. 3. **Thickness of Planks**: - Each plank forming the side of the hollow section appears to be 60 mm wide (or thick).4. **Axes**: - The x-axis is horizontal, running through the center of the cross-section. - The y-axis is vertical, running through the center of the cross-section. The illustration includes arrows showing these measurements, indicated in blue, for visual clarity. The objective is to calculate the moment of inertia of this configuration around the x-axis.

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Answered: 60 mm 60 mm HI 60 mm CHR 150 mm mm andr…

Engineering

Civil Engineering

60 mm 60 mm HI 60 mm CHR 150 mm mm andr m man meumím termy …….… 150 mm mym my 200 mm Nad t 200 mm m 60 mm

Materials Science And Engineering Properties

1st Edition

ISBN:9781111988609

Author:Charles Gilmore

Publisher:Charles Gilmore

Chapter8: Engineering Materials

Section: Chapter Questions

Problem 7ETSQ

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**Problem 10.1**: The figure shows the cross section of a beam made by gluing four planks together. Determine the moment of inertia of the cross section about the x-axis.

### Description of the Diagram

The diagram illustrates a hollow square cross-section constructed by combining four planks:

1. **Outer Dimensions**:
- The overall outer dimensions of the square cross-section are 300 mm by 300 mm. This is indicated by the grid margins measuring 150 mm from the y-axis on both sides.

2. **Inner Dimensions**:
- The hollow square area inside measures 200 mm by 200 mm. This area is separated by two 60 mm wide sections from each outer edge, as depicted on each side.

3. **Thickness of Planks**:
- Each plank forming the side of the hollow section appears to be 60 mm wide (or thick).

4. **Axes**:
- The x-axis is horizontal, running through the center of the cross-section.
- The y-axis is vertical, running through the center of the cross-section.

The illustration includes arrows showing these measurements, indicated in blue, for visual clarity. The objective is to calculate the moment of inertia of this configuration around the x-axis.

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