Hydraulic Structures: Fourth Edition

1. Load–moment table (all moments are relative to toe):

Load Moment Vertical (kN) Horizontal Moments
arm (m) (kN) (kN m)

←↑ ↑ ↓

→–




Water – 6.66 – – 2000 13 330 –
Uplift 08.00 – 1200 – – 09 600 –
Sediment – 2.00 – – 0090 00180 –

Self-weightA 10.50 – –^1584 – – 16 632
B 06.00 – – 1944 – – 11 664
∑ 1200 3528 2090 23 110 28 296

Equation (3.19):

FO1.22 (low, but acceptable)

Equation (3.25):

FSF 4.22 (acceptable)

2. Moment table 2 (moments* relative to centroid of X–X):

Load Moment Moments*
element arm (m)

←↑


Water – 6.66 13 300 –
Sediment – 2.00 13180 –

Self-weight A 4.50 – –^7128
B0 – – 0000
∑ 13 510 7128

e 1.81 m

i.e.elies downstream of the centroid. Hence, in equation (3.33),

z  1  

which gives (equation (3.33b)) zu0.03 MN m^2 and (equation

(3.33c)) zd0.56 MN m^2 (Section 3.2.5 should be referred to

6 1.81



12

3528



12

6382



3528

∑M*



∑V

600  12  2328 0.70



2090

cT∑Vtanc



∑H

28 296



23 110

∑M







∑M



WORKED EXAMPLES 183