Earthwork Slips and Subsidences upon Public Works: Their Causes, Prevention, and ReparationNewman, John
Science
Earthwork Slips and Subsidences upon Public Works: Their Causes, Prevention, and Reparation
Newman, John
Earthwork
The weight of a cubic foot of sand is here taken as 0·056 ton.
A. The weight of a lineal foot of the embankment when unsubmerged equals
201·60 tons, computed as follows:—
Cubic
ft.
The central portion 30 ft. × 30 ft. × 1 ft. = 900
The two inclined 90 ft. × 30 ft. × 1 ft. = 2,700
portions
————— Ton. Tons.
Cubic contents 3,600 × 0·056 = 201·60.
B. At high water the weight of the embankment is reduced by the weight
of the water displaced, which equals 84 tons, calculated as under.
The submerged contents of the embankment are—
Cubic
ft.
The central portion 30 ft. × 20 ft. × 1 ft. = 600
The two inclined portions 2/30 ft. × 20 ft. × 1 ft. = 1,200
60 ft. × 20 ft. × 1 ft. = 1,200
————— Ton. Tons.
Cubic contents 3,000 × 0·028 = 84.
From this must be deducted the weight of the water resting upon the two
slopes, which equals 33·60 tons—
Cubic ft. Ton. Tons.
60 ft. x 20 ft. X 1 ft. = 1,200 X 0·028 = 33·60.
C. Thus the insistent load at high water upon the whole area of the
foundation is reduced by
Tons. Tons.
84 – 33·60 50·40
—————————— = —————— = 0·25 = ¼.
201·60 201·60
D. At high water a vertical pressure is imposed upon the ground beyond
the toe of the slope due to the 20 feet head of water—
20 ft. × 1 ft. × 1 ft. × 0·028 = 0·56 ton per square foot.
This latter weight and element of stability tends to prevent movement of
the ground, and also the toe of the slope, but is entirely removed at
low water when the insistent pressure at the foot of the embankment is
the greatest.
For the purposes of illustrating the varying load upon the surface of
the ground caused by a rise and fall of a tide, it will be sufficient to
take one slope of the embankment.
E. The weight of a lineal foot of one slope, if unsubmerged =
Cubic ft. Ton. Tons.
90 ft. × 15 ft. × 1 ft. = 1,350 x 0·056 = 75·60.
F. The weight of water resting upon the slope per lineal foot at high
tide =
Cubic ft. Ton. Tons.
60 ft. × 10 ft. × 1 ft. = 600 × 0·028 = 16·80.
G. The weight of the water displaced by a lineal foot of the submerged
portion of one slope of the embankment at high tide =
Unsubmerged portion of one slope Cubic ft. Ton. Tons.
1,350 – (30 ft. × 5 ft. × 1 ft.) = 1,200 × 0·028 = 33·60.
H. The area of the base of the slope per lineal foot =
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