Question
Download Solution PDFA company has proposed to design a weir across a river in alluvial soil. The piezometric head at the bottom of the datum is computed as 10 m. The datum is 3 m below the floor bottom. The assured standing water depth above the floor is 2 m. The specific gravity of the floor material is 2.5. The required minimum thickness of the floor is:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
Piezometric head (H) = Pressure head (h’) + datum head (z)
At critical condition,
Uplift pressure = downward pressure
\({\gamma _w}h' = {\gamma _w}Gt + h{\gamma _w}\)
Calculation:
Given,
H = 10 m, G = 2.5
Standing water depth above the floor (h) = 2 m
h’ = 10 - 3 = 7 m
\({\gamma _w}h' = {\gamma _w}Gt + h{\gamma _w}\)
\(\begin{array}{l} {\gamma _w}h' = {\gamma _w}Gt + h{\gamma _w}\\ 7{\gamma _w} = 2.5{\gamma _w} \times t + 2{\gamma _w}\\ t = \frac{5}{{2.5}} = 2m \end{array}\)
∵ t is the minimum thickness required. Hence answer will be 2 m.
Last updated on May 28, 2025
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