Standard step method: Difference between revisions

Revision as of 18:22, 3 December 2013

Revision as of 18:54, 3 December 2013

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== Example Problem ==

[[File:Example Problem Statement.jpg|Problem700px|Example Statementproblem statement for the standard step method]]

[[File:Example Problem Statement.jpg|thumb|Example problem statement for the standard step method]]

<big>'''Solution'''

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</big>

[[File:Step 1 for standard step method.jpg|650px|Step 1]]

[[File:Step 2 for standard step method.jpg|650px|Step 2]]

[[File:Step 3 (STMfor standard step method).jpg|650px|Step 3 (STM method)]]

Using Figure 3 and knowledge of the upstream and downstream conditions and the depth values on either side of the gate, a general estimate of the profiles upstream and downstream of the gate can be generated. Upstream, the water surface must rise from a normal depth of 0.97 m to 9.21 m at the gate. The only way to do this on a mild reach is to follow an M1 profile. The same logic applies downstream to determine that the water surface follows an M3 profile from the gate until the depth reaches the conjugate depth of the normal depth at which point a hydraulic jump forms to raise the water surface to the normal depth.

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[[File:STM Method (Step 4) for standard step method.jpg|STM Method (650px|Step 4)]]<br />

[[File:STM Calc 2.jpg|STM Calc 2]]

[[File:Table 1 Raphson Method Spreadsheet.jpg|600px|Table1]]

Table 1: Spreadsheet of Newton Raphson Method of downstream water surface elevation calculations

'''Step 5:''' Combine the results from the different profiles and display.