Structural Analysis (MindTap Course List)
5th Edition
ISBN: 9781133943891
Author: Aslam Kassimali
Publisher: Cengage Learning
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Chapter 3, Problem 8P
To determine
Calculate the support reactions for the given beam.
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Use Burdine's (1953) equation from the handout (the statistical capillary tube model equation with the values of b, r, and m assumed by Burdine) to mathematically derive a relationship for the hydraulic conductivity function that is based on the SWRC model of Brooks and Corey (1964).
Question 2
A sluice gate controls flow in open channels. At
sections 1 and 2, the flow is uniform and the
pressure is hydrostatic. Neglecting bottom
friction and atmospheric pressure, calculate the
velocities V1 and V2, and the horizontal force, F,
required to hold the gate if h1 = 6m, h2 = 1m, and
b = 5m.
h₁V₁
Sluice
gate, width b
F
Question 1
A pipeline 30 m long connects two tanks which
have a difference of water level of 12 m. The first
10 m of pipeline from the upper tank is of 40 mm
diameter and the next 20 m is of 60 mm diameter.
At the change of section, a valve is fitted.
Calculate the rate of flow when the valve is fully
opened assuming that its resistance is negligible
and that f for both pipes is 0.0054. In order to
restrict the flow the valve is then partially closed.
If k for the valve is now 5.6, find the percentage
reduction in flow.
Note the following
Reservoir I
Segment of Length
Pipeline
B
Diameter
(m)
(mm)
ABC
AB
10
40
BC
20
60
Head loss due to friction
h₁ = KQ²
Valve
fl
K =
3.028D'
Where,
•h₂
= k
Head loss due to partial closure
(VAB-VBC)
2g
Reservoir 2
H-12 m
Chapter 3 Solutions
Structural Analysis (MindTap Course List)
Ch. 3 - Prob. 1PCh. 3 - Prob. 2PCh. 3 - Prob. 3PCh. 3 - Prob. 4PCh. 3 - Prob. 5PCh. 3 - Prob. 6PCh. 3 - Prob. 7PCh. 3 - Prob. 8PCh. 3 - Prob. 9PCh. 3 - Prob. 10P
Ch. 3 - Prob. 11PCh. 3 - Prob. 12PCh. 3 - Prob. 13PCh. 3 - Prob. 14PCh. 3 - Prob. 15PCh. 3 - Prob. 16PCh. 3 - Prob. 17PCh. 3 - Prob. 18PCh. 3 - Prob. 19PCh. 3 - Prob. 20PCh. 3 - Prob. 21PCh. 3 - Prob. 22PCh. 3 - Prob. 23PCh. 3 - Prob. 24PCh. 3 - Prob. 25PCh. 3 - Prob. 26PCh. 3 - Prob. 27PCh. 3 - Prob. 28PCh. 3 - Prob. 29PCh. 3 - Prob. 30PCh. 3 - Prob. 31PCh. 3 - Prob. 32PCh. 3 - Prob. 33PCh. 3 - Prob. 34PCh. 3 - Prob. 35PCh. 3 - Prob. 36PCh. 3 - Prob. 37PCh. 3 - Prob. 38PCh. 3 - Prob. 39PCh. 3 - Prob. 40PCh. 3 - Prob. 41PCh. 3 - Prob. 42P
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