Determine the mean capacity of a storm sewer pipe, the coefficient of variation of the pipe capacity, and the standard deviation of the pipe capacity using Manning’s equation (refer to Example 11.1 ). The following parameter values can be considered as shown in Table 11.1 .

Data from example 11.1 Appling the first-order analysis, formulate σ_Q and Ω_Q in Manning’s equation [Q = (0.311)S^1/2D^8/3], where diameter D is a deterministic parameter and n and S are considered to be uncertain.

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TABLE 11.1 Parameters of the Considered Storm Sewer Pipe in Example 11.2 Parameter Mean Coefficient of Variation N 0.015 0.01 D 1.5m 0 S 0.001 0.05