Part 1. For the maximum water height, z, of 8m above the top of the dam wall, calculate the complete...

Question

Part 1. For the maximum water height, z, of 8m above the top of the dam wall, calculate the complete vector of the resultant force on the dam wall per metre breadth, as it would pass through the dam base, with respect to the downstream toe (D). Account for the hydrostatic thrust force on the upstream face of the dam (A-B), pore pressure on the base (A-D) and the weight of the dam wall. The weight of the radial gate and gate supporting structure can be ignored. (40 marks)
Part 2. For the maximum water height, z, of 8m above the top of the dam wall, calculate the resultant force of the water on a single radial gate. Clearly identify the magnitude, direction and line of the action of the resultant force. (20 marks)

005_eq7hajo-uulz4h1g.docx

David · Accepted Answer

Given :
There are 5 radial gates and width of each gate  = 12 m 
Total width of Dam = 12   5 = 60 m
Consider a strip at a distance x from the bottom of the dam and dx is its width. 
Pressure acting on the strip is
        (     ) 
        (      ) 
        (    ) 
Force acting on the strip is 
       (     ) 
        (    )   (     ) 
        (    )    
Force acting on the strip will have 2 components
Total force acting on the dam in x direction 
∫     ∫         
 
 
 
        *    
  
 
+

        *       
   
 
+

                *       
   
 
+        
    8408103.

Part 1. For the maximum water height, z, of 8m above the top of the dam wall, calculate the complete vector of the resultant force on the dam wall per metre breadth, as it would pass through the dam...

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