Problem 4.7: An uncontrolled overflow spillway is designed to transmit Qo-400 m³/s as shown in Figure 4.65. The approach channel, stilling basin, and tailrace section are all rectangular in cross-section with L-40 m. The flow is assumed to be uniform at section 4, where the mean bed slope is So=0.0008 and Manning's roughness coefficient is n=0.03. The submerged specific weight and angle of repose of foundation material are 11 kN/m³ and 0=32°, respectively. The specific weight of water is 10 kN/m³. Ignoring the frictional and minor losses between sections 1 and 4, determine:

Structural Analysis
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Author:KASSIMALI, Aslam.
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Chapter2: Loads On Structures
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Problem 4.7: An uncontrolled overflow spillway is designed to transmit
Qo-400 m³/s as shown in Figure 4.65. The approach channel, stilling basin, and
tailrace section are all rectangular in cross-section with L-40 m. The flow is
assumed to be uniform at section 4, where the mean bed slope is So-0.0008 and
Manning's roughness coefficient is n=0.03. The submerged specific weight and
angle of repose of foundation material are 11 kN/m³ and 0-32°, respectively. The
specific weight of water is 10 kN/m³. Ignoring the frictional and minor losses
between sections 1 and 4, determine:
a) the percent energy loss through the hydraulic jump;
b) the horizontal component of the resultant force acting on the overflow
spillway. Assume that the upstream pressure distribution is hydrostatic.
Answers: a) 62% b) 38713 kN
Transcribed Image Text:Problem 4.7: An uncontrolled overflow spillway is designed to transmit Qo-400 m³/s as shown in Figure 4.65. The approach channel, stilling basin, and tailrace section are all rectangular in cross-section with L-40 m. The flow is assumed to be uniform at section 4, where the mean bed slope is So-0.0008 and Manning's roughness coefficient is n=0.03. The submerged specific weight and angle of repose of foundation material are 11 kN/m³ and 0-32°, respectively. The specific weight of water is 10 kN/m³. Ignoring the frictional and minor losses between sections 1 and 4, determine: a) the percent energy loss through the hydraulic jump; b) the horizontal component of the resultant force acting on the overflow spillway. Assume that the upstream pressure distribution is hydrostatic. Answers: a) 62% b) 38713 kN
±0.0
포
+10 m
그
(1)
-1.0 m
(2)
(3)
Figure 4.65 Definition sketch for Problem 4.7.
+0.0
4
Transcribed Image Text:±0.0 포 +10 m 그 (1) -1.0 m (2) (3) Figure 4.65 Definition sketch for Problem 4.7. +0.0 4
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