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The image depicts a structural problem involving members \( CE \) and \( DE \) with rectangular cross-sections. The dimensions provided are:

- \( CE \) has a cross-sectional area of \( 50 \, \text{mm} \times 100 \, \text{mm} \),
- \( DE \) has a cross-sectional area of \( 100 \, \text{mm} \times 200 \, \text{mm} \).

To determine the **normal stress** in these members, we will use the normal stress formula:

\[
\sigma = \frac{P}{A}
\]

Where:
- \( \sigma \) is the normal stress,
- \( P \) is the axial force in the member (can be compression or tension),
- \( A \) is the cross-sectional area of the member.

### Steps to Solve:
1. **Identify the Axial Forces**: 
   First, the axial forces in members \( CE \) and \( DE \) need to be determined using a method like joint equilibrium or section cuts, which involves applying static equilibrium equations.
   
2. **Calculate the Cross-Sectional Areas**:
   - For \( CE \):
     \[
     A_{CE} = 50 \, \text{mm} \times 100 \, \text{mm} = 5000 \, \text{mm}^2
     \]
   - For \( DE \):
     \[
     A_{DE} = 100 \, \text{mm} \times 200 \, \text{mm} = 20000 \, \text{mm}^2
     \]
   
3. **Find the Normal Stress**:
   Once we have the axial forces \( P_{CE} \) and \( P_{DE} \), the normal stress in each member can be calculated by dividing the axial force by the respective cross-sectional area.

Would you like me to proceed with the calculations based on assumed or hypothetical forces, or would you like to provide the necessary forces from the problem? Let me know if you want further clarification on the method!

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Here are 5 related questions to explore this topic:
1. How can we determine axial forces in truss members using the method of joints?
2. What are the typical assumptions when analyzing trusses for stress distribution?
3. How do cross-sectional areas influence the design of structural members under axial loads?
4. Why is it important to distinguish between tensile and compressive forces when calculating normal stress?
5. What role do material properties (like Young’s Modulus) play in determining the safety of structural members?

**Tip:** When analyzing a truss structure, always ensure that external loads and reaction forces are correctly identified, as they are crucial for determining internal member forces.

In the structure, members CE and DE have rectangular cross-sections. CE is 50x100 mm and DE is 100x200 mm. Determine the normal stress in these members.

Learn how to calculate the normal stress in structural members CE and DE with rectangular cross-sections. CE is 50x100 mm and DE is 100x200 mm. Explore the step-by-step process using the normal stress formula σ = P / A, crucial for analyzing forces in truss structures. Suitable for undergraduate engineering students.

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