Answer:
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Explanation:
To determine the quantity of rebar needed for the continuous footings of the concrete retaining wall, we'll follow these steps:
1. **Calculate the length of rebar needed for each side:**
- The total length of rebar needed for each side is equal to the perimeter of the corresponding side plus an additional length for laps and waste.
2. **Calculate the perimeter of each side:**
- Use the dimensions of the parking lot to find the perimeter of each side. The formula for the perimeter of a rectangle is \( P = 2 \times (L + W) \), where \( L \) is the length and \( W \) is the width.
3. **Determine the total length of rebar for each side:**
- Add the calculated perimeter to the additional length for laps and waste.
4. **Calculate the total quantity of rebar needed:**
- Sum up the lengths calculated for each side.
Now, let's go through the calculations:
Given dimensions:
- Length of the parking lot (\(L\)): 79 ft
- Width of the parking lot (\(W\)): 62 ft
- Cover: 3 inches (convert to feet: \(3/12\))
- Additional for lap and waste: 10% of the calculated rebar length
**Calculations:**
1. **Length of rebar for the longer sides:**
- Perimeter: \( P_{\text{long}} = 2 \times (79 + 62) \)
- Total length: \( L_{\text{long}} = P_{\text{long}} + 2 \times \text{Cover} + 0.10 \times P_{\text{long}} \)
2. **Length of rebar for the shorter side:**
- Perimeter: \( P_{\text{short}} = 2 \times (62 + 3) \)
- Total length: \( L_{\text{short}} = P_{\text{short}} + 2 \times \text{Cover} + 0.10 \times P_{\text{short}} \)
3. **Total quantity of rebar needed:**
- \( L_{\text{total}} = L_{\text{long1}} + L_{\text{long2}} + L_{\text{short}} \)
Now, plug in the values and perform the calculations. Note that all measurements are in feet.
\[ P_{\text{long}} = 2 \times (79 + 62) = 282 \, \text{ft} \]
\[ L_{\text{long}} = P_{\text{long}} + 2 \times (3/12) + 0.10 \times P_{\text{long}} \]
Calculate \( L_{\text{short}} \) in a similar manner.
Finally, calculate \( L_{\text{total}} = L_{\text{long1}} + L_{\text{long2}} + L_{\text{short}} \) to find the total quantity of rebar needed.