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Ex. A small stream has a cross section which can be approximated by a trapezoid. The cross-sectional properties at three sections are shown below. Section A is the downstream-most section. For a discharge of 100.0 m³/s in the stream, water surface elevation at Section A was recorded as 104.5 m. Estimate the water-surface elevation at the upstream Section B and Section C. Assume Manning's roughness n = 0.02 and energy coefficient a = 1.0 at all sections. Section A B C Distance Up the River (km) 100.00 102.00 103.50 Bed Elevation (m) Bed Width (m) Side Slope 100.000 14.0 100.800 12.5 101.400 10.0 1.5:1 15:1 1.5:1

Ex. A small stream has a cross section which can be approximated by a trapezoid. The cross-sectional properties at three sections are shown below. Section A is the downstream-most section. For a discharge of 100.0 m³/s in the stream, water surface elevation at Section A was recorded as 104.5 m. Estimate the water-surface elevation at the upstream Section B and Section C. Assume Manning's roughness n = 0.02 and energy coefficient a = 1.0 at all sections. Section A B C Distance Up the River (km) 100.00 102.00 103.50 Bed Elevation (m) Bed Width (m) Side Slope 100.000 14.0 100.800 12.5 101.400 10.0 1.5:1 15:1 1.5:1

Structural Analysis
Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Station Trial 1(a) A B с 1(b) 0 1 2 Final 1 2 3 Final Q=100.0 m³/s Elevation of bed depth (m) (m) b stage 100.000 4.500 104.500 100.800 4.400 105.200 100.800 3.971 104.771 (m²) 28 (m) 6 93.375 0.058 84.400 0.072 73.293 0.095 101.400 3.500 104.900 53.375 0.179 101.400 3.744 105.144 58.466 0.149 101.400 3.740 105.140 58.381 0.150 * = 0.020 H Total R head (m) (m) S units of 10 S 5. units of 10 8 7 104.558 3.089 9 1.0197 1.3308 1.1752 105.272 2.963 104.866 2.733 1.9487 1.4842 10 - 105.079 2.360 4.4693 3.2090 105.293 2.488 3.4709 2.7098 105.290 2.486 2.4849 2.7168 Length of reach L (m) 11 2000 2000 1500 1500 1500 12 Sg² 4.0 A²R4/3 (m) 13 Total head (m) 14 HE (m) 15 A2 (m) T 16 0.235 0.004 104.797 0.475 -0.429 0.297 0.011 104.866 T 0.481 0.025 105.372 -0.293 +0.244 0.406 0.015 105.287 0.006 -0.004 0.408 0.016 105.290
Transcribed Image Text:Station Trial 1(a) A B с 1(b) 0 1 2 Final 1 2 3 Final Q=100.0 m³/s Elevation of bed depth (m) (m) b stage 100.000 4.500 104.500 100.800 4.400 105.200 100.800 3.971 104.771 (m²) 28 (m) 6 93.375 0.058 84.400 0.072 73.293 0.095 101.400 3.500 104.900 53.375 0.179 101.400 3.744 105.144 58.466 0.149 101.400 3.740 105.140 58.381 0.150 * = 0.020 H Total R head (m) (m) S units of 10 S 5. units of 10 8 7 104.558 3.089 9 1.0197 1.3308 1.1752 105.272 2.963 104.866 2.733 1.9487 1.4842 10 - 105.079 2.360 4.4693 3.2090 105.293 2.488 3.4709 2.7098 105.290 2.486 2.4849 2.7168 Length of reach L (m) 11 2000 2000 1500 1500 1500 12 Sg² 4.0 A²R4/3 (m) 13 Total head (m) 14 HE (m) 15 A2 (m) T 16 0.235 0.004 104.797 0.475 -0.429 0.297 0.011 104.866 T 0.481 0.025 105.372 -0.293 +0.244 0.406 0.015 105.287 0.006 -0.004 0.408 0.016 105.290
Ex. A small stream has a cross section which can be approximated by a trapezoid. The cross-sectional properties at three sections are shown below. Section A is the downstream-most section. For a discharge of 100.0 m³/s in the stream, water surface elevation at Section A was recorded as 104.5 m. Estimate the water-surface elevation at the upstream Section B and Section C. Assume Manning's roughness n = 0.02 and energy coefficient a = 1.0 at all sections. Section A B C Distance Up the River (km) 100.00 102.00 103.50 Bed Elevation (m) Bed Width (m) Side Slope 100.000 14.0 1.5:1 100.800 12.5 1.5:1 101.400 10.0 1.5:1
Transcribed Image Text:Ex. A small stream has a cross section which can be approximated by a trapezoid. The cross-sectional properties at three sections are shown below. Section A is the downstream-most section. For a discharge of 100.0 m³/s in the stream, water surface elevation at Section A was recorded as 104.5 m. Estimate the water-surface elevation at the upstream Section B and Section C. Assume Manning's roughness n = 0.02 and energy coefficient a = 1.0 at all sections. Section A B C Distance Up the River (km) 100.00 102.00 103.50 Bed Elevation (m) Bed Width (m) Side Slope 100.000 14.0 1.5:1 100.800 12.5 1.5:1 101.400 10.0 1.5:1
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