A steady, constant-head flow of water has been established through a square prism of saturated soil, as shown (next page), with all dimensions given in cm. (A) Complete (by hand) a reasonably precise sketch of a flow net through the prism of soil with exactly 5 flow lines and 9 equipotential lines. (B) How many equipotential drops (also known as potential or piezometric drops) will the flow of water experience from point B to point D? (C) How much exactly is the head loss (total head loss) for each equipotential drop? (D) If the reference datum coincides with the bottom of the soil prism, determine the elevation head, pressure head, total (piezometric) head, and pore-water pressure (g/cm?) at all points A through E. (Note: density of water = 1.0 g/cm'.) || (E) Why are points A, C and E expected to have the same total (piezometric) head? (F) If the permeability of the soil is 3.8 x 10 cm/sec, compute the rate of seepage through the soil prism in cm/min/cm width. (Show all pertinent calculations.) 5 cm Ah = 5 cm %D 5 cm A B D E) -5-

A steady, constant-head flow of water has been established through a square prism of saturated soil, as shown (next page), with all dimensions given in cm. (A) Complete (by hand) a reasonably precise sketch of a flow net through the prism of soil with exactly 5 flow lines and 9 equipotential lines. (B) How many equipotential drops (also known as potential or piezometric drops) will the flow of water experience from point B to point D? (C) How much exactly is the head loss (total head loss) for each equipotential drop? (D) If the reference datum coincides with the bottom of the soil prism, determine the elevation head, pressure head, total (piezometric) head, and pore-water pressure (g/cm?) at all points A through E. (Note: density of water = 1.0 g/cm'.) || (E) Why are points A, C and E expected to have the same total (piezometric) head? (F) If the permeability of the soil is 3.8 x 10 cm/sec, compute the rate of seepage through the soil prism in cm/min/cm width. (Show all pertinent calculations.) 5 cm Ah = 5 cm %D 5 cm A B D E) -5-

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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Concept explainers

Length and Length related Variables

Length can de defined as the measurement or extent of physical quantities or objects from one terminal to another terminal. Stone age humans used finger length, step length, and so on to measure the size or displacement of an object. Nowadays, depending on how precise the measurement requires to be and the object’s size is measured, we use measuring devices for measurements like rulers and steel tape. Most people have used a ruler or tape measure to measure a particular distance or the size of an object. For more precise measurements of tiny objects, the development of measurement tools such as the Vernier caliper, which permits us to measure dimensions within 1/1000 of an inch. In the last few decades, electronic distance measuring instruments (EDMI) have been implemented that permit us to measure distances from a few feet to many miles with reasonable accuracy.

Question

A steady, constant-head flow of water has been established through a square prism of
saturated soil, as shown (next page), with all dimensions given in cm.
(A) Complete (by hand) a reasonably precise sketch of a flow net through the prism of
soil with exactly 5 flow lines and 9 equipotential lines.
(B) How many equipotential drops (also known as potential or piezometric drops) will
the flow of water experience from point B to point D?
(C) How much exactly is the head loss (total head loss) for each equipotential drop?
(D) If the reference datum coincides with the bottom of the soil prism, determine the
elevation head, pressure head, total (piezometric) head, and pore-water pressure
(g/cm?) at all points A through E. (Note: density of water = 1.0 g/cm'.)
||
(E) Why are points A, C and E expected to have the same total (piezometric) head?
(F) If the permeability of the soil is 3.8 x 10 cm/sec, compute the rate of seepage
through the soil prism in cm/min/cm width. (Show all pertinent calculations.)
5 cm
Ah = 5 cm
%D
5 cm
A
B
D
E)
-5-

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The figure shows the layers of soil in a tube that is 100mm x 100 mm in cross section. Water is supplied to maintain a constant head difference of 450 mm across the sample. The hydraulic conductivity of the soils in the direction of flow through them are given below. Compute the equivalent hydraulic conductivity in m/hr. Water supply h=450 mm Out flow Direction of flow Soil Soil Soil A B 200 200 200 mm mm mm K, = 2 x 10-4 cm/s KR = 3.7 x 10-2 cm/s Kc = 1.2 x 10 -5 cm/s Select one: a. 0.002124 b. 0.002412 c. 0.001224 d. 0.004221
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