Final answer:
The full flow capacity of a 525mm diameter concrete stormwater sewer pipe with a 1.0% slope is approximately 0.8787 m³/s, calculated using the Manning formula for circular pipes flowing full.
Step-by-step explanation:
To calculate the full flow capacity of the 525mm diameter concrete stormwater sewer pipe, we can apply the Manning equation, which is a common approach for such calculations in civil engineering subject. The Manning formula for circular pipes flowing full is given as:
Q = (1/n) * A * R2/3 * S1/2
Where:
First, we need to convert the given diameter from millimeters to meters:
D = 525 mm = 0.525 m
Next, calculate the cross-sectional area of the pipe (π * (D/2)²):
A = π * (0.525 m / 2)² ≈ 0.2165 m²
Because the pipe is flowing full, the hydraulic radius (R) is equal to the diameter divided by 4:
R = D/4 = 0.525 m / 4 = 0.13125 m
Now, we can calculate the flow rate using the slope of 1.0% (0.01 in decimal):
Q = (1/0.013) * 0.2165 m² * (0.13125 m)2/3 * (0.01)1/2
Finally, calculating the flow rate gives us:
Q ≈ 0.8787 m³/s (to four decimal places)