AHOLDERBACE DAM B. A BEDROCk

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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A dam includes a sheet pile "cut off" wall near the toe, installed to 7 ft below the groundline. Water seepage is assumed to be at steady state at this time step shown. At this
time, the depth of the upstream pond (headwater) is 5 feet. The groundwater is at the same level as the ground on the downstream/tailwater side. The sand stratum
thickness, where water is flowing, is 9 ft thick.
The permeability of the sand, in the zone of the flow net, is k=42ft/day, the length of the dam (into the page) is 150 ft, and the unit weight of the sand is ysat=128
Ib/ft (saturated unit weight of the soil). Use yw=62.4 pcf (unit weight of water) for your calculations, where necessary.
A. What is the flow rate of water emerging at the surface at the downstream side (for the full 150ft long dam structure, into the screen) in
ft3/day?
B. What is the effective vertical stress, ov', at Poin. C in psf? Note that C is 5.5 ft below the surface level.
C. What is the maximum exit gradient? (use the dimensions given in the problem state to help estimate lengths where needed).
D. What is the factor of safety against a quick condition? (use the dimensions given in the problem state to help estimate lengths where
needed).
Transcribed Image Text:A dam includes a sheet pile "cut off" wall near the toe, installed to 7 ft below the groundline. Water seepage is assumed to be at steady state at this time step shown. At this time, the depth of the upstream pond (headwater) is 5 feet. The groundwater is at the same level as the ground on the downstream/tailwater side. The sand stratum thickness, where water is flowing, is 9 ft thick. The permeability of the sand, in the zone of the flow net, is k=42ft/day, the length of the dam (into the page) is 150 ft, and the unit weight of the sand is ysat=128 Ib/ft (saturated unit weight of the soil). Use yw=62.4 pcf (unit weight of water) for your calculations, where necessary. A. What is the flow rate of water emerging at the surface at the downstream side (for the full 150ft long dam structure, into the screen) in ft3/day? B. What is the effective vertical stress, ov', at Poin. C in psf? Note that C is 5.5 ft below the surface level. C. What is the maximum exit gradient? (use the dimensions given in the problem state to help estimate lengths where needed). D. What is the factor of safety against a quick condition? (use the dimensions given in the problem state to help estimate lengths where needed).
AHOLDERBACE DAM
B.
A
BEDROCk
Transcribed Image Text:AHOLDERBACE DAM B. A BEDROCk
Expert Solution
Step 1

Given 

H= 5ft 

K = 42 ft/day 

Nf = 3 , Nd = 12  

Note 

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