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A trapezoidal cross section with bank slopes of 1:1 and a bottom width of B = 91.45 m contains a bed material gradation as shown

A trapezoidal cross section with bank slopes of 1:1 and a bottom width of B = 91.45 m contains a bed material gradation as shown table, which has diameters of D35 = 0.28 mm, D40 = 0.30 mm, D50 = 0.32 mm, D65 = 0.38 mm, and D90 = 0.47 mm. The flow depth is 1.02 m in river, and bed slope is Io = 0.0007. The specific gravity of this particle is s = 2.65. Take kinematic viscosity as n =10-6 m2/s and density of water as r = 1000 kg/m3. Take b=1 and k=0.4.

Group No

Grain Diameter (D) (mm)

Grain Percentage (iB) (%)

1

0.589

2.4

2

0.495

17.8

3

0.351

40.2

4

0.248

32.0

5

0.175

5.8

6

0.147

1.8

a) Determine the discharge by Paris Method.

b) What should be the bed slope in order not to see bed load by Meyer-Peter-Mller Method?

c) What should be the flow depth in order not to see bed load by Du Boys and Schocklitsch Methods?

d) Determine total load by Einstein Method.

e) Determine total load by Modified Einstein Method.

f) Determine total load by Laursen Method.

g) Determine total load by other direct methods.

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