Applied Fluid Mechanics (7th Edition)
Applied Fluid Mechanics (7th Edition)
7th Edition
ISBN: 9780132558921
Author: Robert L. Mott, Joseph A. Untener
Publisher: PEARSON
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Chapter 14, Problem 14.57PP
To determine

The discharge for long-throated flume installed in circular pipe using design A.

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A triangular distributed load of max intensity w acts on beam AB. The beam is supported by a pin at A and member CD, which is connected by pins at C and D respectively. Determine the largest load intensity, Wmax, that can be applied if the pin at D can support a maximum force of 18000 N. Also determine the reactions at A and C and express each answer in Cartesian components. Assume the masses of both beam and member ✓ are negligible. Dwas шал = A BY NC SA 2016 Eric Davishahl C D -a- Ур -b- X B W Values for dimensions on the figure are given in the following table. Note the figure may not be to scale. Variable Value a 6.6 m b 11.88 m C 4.29 m The maximum load intensity is = wmax N/m. The reaction at A is A = The reaction at C is = i+ Ĵ N. ĴN. 12 i+
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The beam ABC has a mass of 79.0 kg and is supported by the rope BDC that runs through the frictionless pulley at D . The winch at C has a mass of 36.5 kg. The tension in the rope acts on the beam at points B and C and counteracts the moments due to the beam's weight (acting vertically at the midpoint of its length) and the weight of the winch (acting vertically at point C) such that the resultant moment about point A is equal to zero. Assume that rope segment CD is vertical and note that rope segment BD is NOT necessarily perpendicular to the beam. a.) Compute the tension in the rope. b.) Model the two forces the rope exerts on the beam as a single equivalent force and couple moment acting at point B. Enter your answer in Cartesian components. c.) Model the two forces the rope exerts on the beam as a single equivalent force (no couple) and determine the distance from A to the point along the beam where the equivalent force acts (measured parallel to the beam from A ). Enter your answer…

Chapter 14 Solutions

Applied Fluid Mechanics (7th Edition)

Ch. 14 - Determine the normal discharge for an aluminum...Ch. 14 - A circular culvert under a highway is 6 ft in...Ch. 14 - A wooden flume is being built to temporarily carry...Ch. 14 - A storm drainage channel in a city where heavy...Ch. 14 - Figure 14.21 represents the approximate shape of a...Ch. 14 - Calculate the depth of flow of water in a...Ch. 14 - Calculate the depth of flow in a trapezoidal...Ch. 14 - A rectangular channel must carry 2.0m3/s of water...Ch. 14 - The channel shown in Fig. 14.22 has a surface of...Ch. 14 - A square storage room is equipped with automatic...Ch. 14 - The flow from two of the troughs described in...Ch. 14 - For a rectangular channel with a bottom width of...Ch. 14 - It is desired to carry 2.00m3/s of water at a...Ch. 14 - For the channel designed in Problem 14.23, compute...Ch. 14 - Prob. 14.25PPCh. 14 - Prob. 14.26PPCh. 14 - A trapezoidal channel has a bottom width of 2.00...Ch. 14 - For the channel described in Problem 14.27,...Ch. 14 - Repeat Problem 14.28, except that the channel is...Ch. 14 - A trapezoidal channel has a bottom width of 2.00...Ch. 14 - Prob. 14.31PPCh. 14 - Compute the flow area and hydraulic radius for a...Ch. 14 - Prob. 14.33PPCh. 14 - Prob. 14.34PPCh. 14 - Prob. 14.35PPCh. 14 - Prob. 14.36PPCh. 14 - Prob. 14.37PPCh. 14 - Prob. 14.38PPCh. 14 - A rectangular channel 2.00 m wide carries 5.5m3/s...Ch. 14 - Prob. 14.40PPCh. 14 - A triangular channel with side slopes having a...Ch. 14 - A trapezoidal channel with a bottom width of 3.0...Ch. 14 - Prob. 14.43PPCh. 14 - Determine the required length of a contracted weir...Ch. 14 - Prob. 14.45PPCh. 14 - Prob. 14.46PPCh. 14 - Compare the discharges over the following weirs...Ch. 14 - Prob. 14.48PPCh. 14 - For a Parshall flume with a throat width of 9 in,...Ch. 14 - Prob. 14.50PPCh. 14 - A flow rate of 50ft3/s falls within the range of...Ch. 14 - Prob. 14.52PPCh. 14 - A long-throated flume is installed in a...Ch. 14 - Prob. 14.54PPCh. 14 - Prob. 14.55PPCh. 14 - Prob. 14.56PPCh. 14 - Prob. 14.57PPCh. 14 - For a long-throated flume of design B in a...Ch. 14 - For a long-throated flume of design C in a...Ch. 14 - Prob. 14.60PPCh. 14 - Prob. 14.61PP
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