Ans 1) We know,
Difference in elevation , A = G1 - G2
= 0.8 - (-0.4)
1.2 %
Hence option D is correct
Ans 2) We know,
y = ax2 + bx + c
where, y = roadway elevation from beginning of vertical curve
a = (G2 - G1) / 2L = -1.2 / (2 x 6) = -0.10 ( L = 58 - 52 = 6 ft)
b = G1
c = elevation of PVC = 22.45
x = distance of point X from beginning of vertical curve = 55 - 52 = 3 ft
Putting values,
y = -0.10(3)2 + 0.8(3) + 22.45
= - 0.9 + 2.4 + 22.45
= 23.95
Hence option D is correct
Ans 7) Option B is correct as per shown figure
Ans 10) Weight per foot for C 8 x 11.5 = 11.5 lb
Density of steel = 490 lb/ft3 or 0.283 lb/in3
We know,
= M / V
=> 0.283 = 11.5 / V
=> V = 40.63 in3
Also, V = A x h
For length (h) = 1 ft = 12 in,
A = 40.63 in3 /12 in
=> A = 3.38 in2
Hence, option C is correct
Ans) Total hydro static pressure acting on sluice gate = Area of
trapezium formed by pressure diagram x
w
= 0.5 x (15 + 21) (6) x 62.4 (Unit weight of water ,w=
62.4 lb /ft3)
= 1123.2 psf
Area of sluice gate = 4 x 6 = 24 ft2
Hydrostatic force = Pressure x area = 1123.2 x 24 = 26956 lb
27000 lb
Hence, option C is correct
Ans 24) Given ,
P = fc [ 1 + (n -1) Po ]
Po = (1 - 0.01) x 20 = 19.8 in2
=> P = 500[ 1 + 14(19.8)]
P = 139100 lb
175000 lb
Hence, option A is correct
Ans) Option D is correct, because settlement in sewer by 6 in will cause vaporization of liquid due to pressure drop which result in cavitation
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