Deck Girder Design
1. **State the problem:**
Design parameters for a Deck Girder Bridge with cleared span length 40 ft + half of 40 ft rounded up, clear width 24 ft + one-third of 40 ft rounded up, live loads for front and rear wheel loads, wearing surface load, concrete strength, reinforcement grade, and number of girders.
2. **Calculate Clear Span:**
Clear span = $40 + \lceil \frac{40}{2} \rceil = 40 + 20 = 60$ ft
3. **Calculate Clear Width:**
Clear width = $24 + \lceil \frac{40}{3} \rceil = 24 + \lceil 13.33 \rceil = 24 + 14 = 38$ ft
4. **Calculate Live Loading Front Wheel Load:**
Front wheel load = $3000 + 40 \times 30 = 3000 + 1200 = 4200$ psi
5. **Calculate Live Loading Rear Wheel Load:**
Rear wheel load = $15000 + 40 \times 35 = 15000 + 1400 = 16400$ psi
6. **Calculate Wearing Surface Load:**
Wearing surface load = $\lceil 10 + \frac{40}{2} \rceil = \lceil 10 + 20 \rceil = 30$ psf
7. **Calculate Concrete Strength, f'c:**
Concrete strength = $3000 + 40 \times 10 = 3000 + 400 = 3400$ psi
8. **Calculate Reinforcement Grade:**
Reinforcement grade = $10000 + 40 \times 15 = 10000 + 600 = 10600$ psi
9. **Calculate Number of Girders:**
Number of girders = $5 + \lceil \frac{0}{2.5} \rceil = 5 + 0 = 5$
**Final Data Summary:**
- Clear Span: 60 ft
- Clear Width: 38 ft
- Front Wheel Load: 4200 psi
- Rear Wheel Load: 16400 psi
- Wearing Surface Load: 30 psf
- Concrete Strength: 3400 psi
- Reinforcement Grade: 10600 psi
- Number of Girders: 5
This completes the design data computation based on provided formulas and rounding rules.
