**Purpose:** Find the stresses using the Transformed Sections Method.

**Given Data:**

1. **Modular Ratio (n):**
- For [tex]f_c'[/tex] (ksi):
- 3 → n = 9
- 3.5 → n = 8.5
- 4 → n = 8
- 4.5 → n = 7.5
- 5 → n = 7
- 6 → n = 6.5

2. **Concrete Properties:**
- [tex]f_c' = 3 \, \text{ksi}[/tex]
- [tex]E_c = 3122 \, \text{ksi}[/tex]

3. **Steel Properties:**
- [tex]E_s = 29000 \, \text{ksi}[/tex]
- [tex]f_y = 40 \, \text{ksi}[/tex]

4. **Geometry:**
- [tex]A_s = 4 \times (1.27 \, \text{in}^2) = 5.08 \, \text{in}^2[/tex]

5. **Calculations:**
- [tex]n = \frac{E_s}{E_c} = \frac{29000}{3122} \approx 9.28 \approx 9.0[/tex]

6. **Load and Moments:**
- Total Dead Load + Live Load = [tex]2000 \, \text{kip}[/tex]
- [tex]M = 2000 \, \text{kip-ft}[/tex]

7. **Math Check:**
- Verify calculations for stresses and deflection.
- Use the code: [tex]K = 0.40\% \, k_{\text{hin}}[/tex]

8. **Deflection Limits:**
- Compare calculated deflection to the limit.

9. **Notes:**
- Refer to page 35 for additional calculations and details.
- Ensure math consistency throughout.

Make sure to double-check all calculations and units for accuracy.