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Guide bund components and drawings, 6000 m3/s

Short answer

Lacey waterway W=4.75√Q≈368 m, upstream shank 1.25W=460 m, downstream 0.25W=92 m. Pitching t=0.06Q^(1/3)=1.09 m. Scour depth R=8.27 m. Apron: straight portion width 1.5×7.41=11.12 m, depth below bed 7.41 m; nose width 1.5×11.55=17.32 m, depth 11.55 m; laid thickness √5 t≈2.44 m.

Design the following components of a guide bund for a river discharge of 6000 m³/s and silt factor as 1.1. Take HFL = 150 m, Bed level = 145 m. (i) Length of guide bund (ii) Thickness of pitching (iii) Width of launching apron (iv) Depth of launching apron. Using the design data, draw the following: A) Plan of guide bank B) Section at shank and C) Section at u/s curved head.

Data and design basis

  • Silt factor given: f=1.10f = 1.10
  • Flood depth above bed: h=150−145=5.00h = 150 - 145 = 5.00 m
  • Design discharge for scour/apron: Q=6000Q = 6000 m³/s

1. Waterway and length of guide bund

Lacey's regime waterway: W=4.75Q=4.756000=367.93W = 4.75\sqrt{Q} = 4.75\sqrt{6000} = 367.93 m. Adopt W≈368W \approx 368 m. Length of guide bund (Garg): upstream shank =1.0=1.0 to 1.5 W1.5\,W, downstream tail =0.2=0.2 to 0.5 W0.5\,W. Adopt

Lus=1.25W=1.25×368=460 mLds=0.25W=92 m\begin{aligned} L_{us} &= 1.25W = 1.25\times 368 = 460\ \text{m} \\ L_{ds} &= 0.25W = 92\ \text{m} \end{aligned}

Curved heads: upstream radius Ru≈0.5W=184R_u \approx 0.5W = 184 m with sweep 120∘120^\circ to 145∘145^\circ (adopt 120∘120^\circ); downstream radius Rd≈0.25W=92R_d \approx 0.25W = 92 m with sweep about 45∘45^\circ. Arc length of upstream head =Ruθ=184×2.094=385= R_u\theta = 184\times 2.094 = 385 m, so total length on the upstream side ≈845\approx 845 m.

2. Thickness of stone pitching

t=0.06 Q1/3=0.06×60001/3=0.06×18.17=1.09 mt = 0.06\,Q^{1/3} = 0.06\times 6000^{1/3} = 0.06\times 18.17 = 1.09\ \text{m}

Adopt t≈1.1t \approx 1.1 m (pitching on the river side slope 2:1, over a 0.15 to 0.3 m graded filter).

3. Scour depth and launching apron

Lacey's normal scour depth:

R=0.47(Qf)1/3=0.47(60001.10)1/3=8.27 mR = 0.47\left(\frac{Q}{f}\right)^{1/3} = 0.47\left(\frac{6000}{1.10}\right)^{1/3} = 8.27\ \text{m}

Maximum scour below HFL: 2R2R at the upstream nose, 1.5R1.5R at the shank (straight portion). The apron must launch to the slope 2H:1V2H:1V, so its horizontal width is 1.5D′1.5D' and, when launched, it covers a slope length 5 D′\sqrt5\,D' with thickness 1.5t1.5t.

PortionScour factorScour depth below HFLDepth below bed D′D'Apron length 1.5D′1.5D'
Nose (u/s curved head)2.0R16.55 m11.55 m17.32 m
Shank (straight)1.5R12.41 m7.41 m11.12 m

Thickness: pitching t=1.09t = 1.09 m, so the launched apron thickness is 1.5t=1.5×1.09=1.641.5t = 1.5\times1.09 = 1.64 m. Equating volumes per metre, the thickness as laid over 1.5D′1.5D' width is T=1.5t×5D′1.5D′=5 t=2.44T = \dfrac{1.5t\times\sqrt5 D'}{1.5D'} = \sqrt5\,t = 2.44 m (about 2.25t2.25t).

Summary

ItemValue
Lacey waterway WW367.93 m (adopt 368 m)
Length of guide bund (u/s)460 m; d/s tail 92 m
Pitching thickness tt1.09 m
Apron at shank: width 1.5D′1.5D' / thickness11.12 m / 1.64 m launched (2.44 m laid)
Apron at nose: width / thickness17.32 m / 1.64 m launched (2.44 m laid)

Sketches

A) Plan of guide bank:

 U/S                                          D/S
                       bridge / weir axis
   Shank (straight)                |
 ________________________________  |  ___
/  1.0-1.5 W upstream            \ | /   \  tail
\________________________________/=|=\___/  0.25 W
 curved head                       |
 R, sweep 120 deg    <-- waterway W -->
 ________________________________  |  ___
/                                \ | /   \
\________________________________/=|=\___/

B) Section at the shank:

           top width 6 m
         ___________  <- HFL + 1.5 m
        /           \
 HFL ---/-------------\---  2:1 slopes
       / pitching t    \
 bed__/__ filter ______ \___
      \_ launching apron _/ (launches at 2:1)

C) Section at the u/s curved head:

 Section at u/s curved head (nose)
            ______  <- HFL + 1.5 m
           /      \   top 6 m, side 3:1 (flatter)
 HFL ----/---------\----
        / pitching t \
 bed ___/_____________\__
         \_ apron: 2.0R scour, 1.5D' wide _/

✓ Answer checked by Claude Opus 5.5 (high effort)

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