Subjects structural engineering

Deck Girder Design

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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. ![Deck Girder Bridge schematic](https://upload.wikimedia.org/wikipedia/commons/9/99/Deck_girder_bridge_-_single_span.png)