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The image you uploaded appears to show a mechanical engineering problem related to the cross-sectional design of a cylindrical tube under tensile load. Let me break down the key elements and calculations involved based on the visible content:

### Problem Overview:
- **Given Values**:
  - Force applied, \( N = 80000 \, \text{N} \)
  - Maximum allowable stress, \( \sigma_{\text{meg}} = 100 \, \text{MPa} \) (which is \( 100 \times 10^6 \, \text{Pa} \))
  - Outer diameter relation: \( D = 1.4d \), where \( d \) is the inner diameter.

### Task:
Determine the **outer diameter \( D \)** and **inner diameter \( d \)**.

### Equations:
The equation provided for stress is:

\[
\sigma_x = \frac{N}{A} = \frac{N}{(D^2 - d^2)\frac{\pi}{4}} \leq \sigma_{\text{meg}}
\]

This is based on the formula for stress \( \sigma \), where \( A \) is the cross-sectional area of the tube:
\[
A = \frac{\pi}{4}(D^2 - d^2)
\]

Substituting the value \( D = 1.4d \) into the equation, you get a simplified form:

\[
\frac{N}{\pi \left( (1.4d)^2 - d^2 \right)} \leq \sigma_{\text{meg}}
\]

\[
\frac{N}{\pi \left( 1.96d^2 - d^2 \right)} \leq \sigma_{\text{meg}}
\]

\[
\frac{N}{0.96d^2 \cdot \pi} \leq \sigma_{\text{meg}}
\]

Solving for \( d \), we get:

\[
d \geq \sqrt{\frac{N}{0.96 \cdot \pi \cdot \sigma_{\text{meg}}}}
\]

### Next Steps:
1. **Substitute the given values** into the equation:
   - \( N = 80000 \, \text{N} \)
   - \( \sigma_{\text{meg}} = 100 \, \text{MPa} = 100 \times 10^6 \, \text{Pa} \)

2. **Solve for \( d \)**:
   \[
   d \geq \sqrt{\frac{80000}{0.96 \times \pi \times 100 \times 10^6}}
   \]

Would you like me to solve the equation for \( d \) and \( D \), or do you have any specific questions on the steps? 

### Further questions:
1. How does the maximum stress limit relate to the material’s yield strength in such design problems?
2. What are the safety factors used in such stress analyses, and how do they affect the diameter selection?
3. How does the ratio \( D = 1.4d \) affect the optimization of the tube’s cross-sectional area?
4. What are some common materials that would have a maximum stress \( \sigma_{\text{meg}} \) of 100 MPa?
5. How would the problem change if the force applied \( N \) or the stress \( \sigma_{\text{meg}} \) were different?

**Tip**: Always check if your stress value is below the yield stress for the material to prevent failure during loading.

Given a tube with an outer diameter D and inner diameter d under tensile load, determine D and d based on the given values of force N and maximum allowable stress σ_meg.

Learn how to calculate the outer and inner diameters of a tube under tensile load using strength of materials concepts, including tensile stress and cross-sectional area formulas. Suitable for university-level engineering students.

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