A masonry dam of trapezoidal cross section is 50 ft high. It has a thickness of 5 ft at the top and 35 ft at the bottom. The  upstream face has a batter of 10 ft in 50 ft. With the upstream water surface at the top of the dam, assuming no  hydrostatic uplift, compute the distance from the toe to the point where the resultant pressure intersects the base, and  the intensity of pressure at heel and toe.

Structural Analysis
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Chapter2: Loads On Structures
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A masonry dam of trapezoidal cross section is 50 ft high. It has a thickness of 5 ft at the top and 35 ft at the bottom. The 
upstream face has a batter of 10 ft in 50 ft. With the upstream water surface at the top of the dam, assuming no 
hydrostatic uplift, compute the distance from the toe to the point where the resultant pressure intersects the base, and 
the intensity of pressure at heel and toe. 

1.
A masonry dam of trapezoidal cross section, with one face vertical, has a thickness of 2 ft at the top and 10 ft at the
bottom. It is 22 ft high and has a horizontal base. The vertical face is subjected to water pressure, the water standing 15 ft
above the base. The weight of the masonry is 150 lb per cu ft. Where will the resultant pressure intersect the base, and
what will be the intensity of pressure at the heel and at the toe assuming: (a) that there is no hydrostatic uplift; (b) that
there is hydrostatic uplift which varies uniformly form that due to a full head of 15 ft at the heel to zero at the toe.
The section of the dam is shown here. Assuming uplift pressure varies linearly from maximum hydrostatic pressure at the
heel to zero at the location of the drain, determine the (a) location of the resultant force, (b) factor of safety against
2.
ovorturning (c) factor ofsafoty against sliding if coofficion+ of friction is 0 75 Idl tho stross at the bool and at the too Use
Transcribed Image Text:1. A masonry dam of trapezoidal cross section, with one face vertical, has a thickness of 2 ft at the top and 10 ft at the bottom. It is 22 ft high and has a horizontal base. The vertical face is subjected to water pressure, the water standing 15 ft above the base. The weight of the masonry is 150 lb per cu ft. Where will the resultant pressure intersect the base, and what will be the intensity of pressure at the heel and at the toe assuming: (a) that there is no hydrostatic uplift; (b) that there is hydrostatic uplift which varies uniformly form that due to a full head of 15 ft at the heel to zero at the toe. The section of the dam is shown here. Assuming uplift pressure varies linearly from maximum hydrostatic pressure at the heel to zero at the location of the drain, determine the (a) location of the resultant force, (b) factor of safety against 2. ovorturning (c) factor ofsafoty against sliding if coofficion+ of friction is 0 75 Idl tho stross at the bool and at the too Use
8:31
CSTRU133D_PLATE7_INFLUE...
THE SPACE PROVIDED.
PROBLEM 1
Draw the influence lines for (a) the vertical
reaction at A, (b) the vertical reaction at B,
(c) the shear just to the right of the support
at A, and (d) the moment at C. Assume
the support at A is a pin and Bis a roller.
Solve this problem using the basic method of
Sec. 6–1.
A
В
-2m
2m-
m
Tof 9
Transcribed Image Text:8:31 CSTRU133D_PLATE7_INFLUE... THE SPACE PROVIDED. PROBLEM 1 Draw the influence lines for (a) the vertical reaction at A, (b) the vertical reaction at B, (c) the shear just to the right of the support at A, and (d) the moment at C. Assume the support at A is a pin and Bis a roller. Solve this problem using the basic method of Sec. 6–1. A В -2m 2m- m Tof 9
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