EBK ENGINEERING MECHANICS: DYNAMICS, SI
8th Edition
ISBN: 9781119047315
Author: Bolton
Publisher: VST
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Chapter B.1, Problem 44P
To determine
The moment of inertia of the solid steel semi-cylinder about the xx axis and
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Problem (17): water flowing in an open channel of a rectangular cross-section with width (b) transitions from a
mild slope to a steep slope (i.e., from subcritical to supercritical flow) with normal water depths of (y₁) and
(y2), respectively.
Given the values of y₁ [m], y₂ [m], and b [m], calculate the discharge in the channel (Q) in [Lit/s].
Givens:
y1 = 4.112 m
y2 =
0.387 m
b = 0.942 m
Answers:
( 1 ) 1880.186 lit/s
( 2 ) 4042.945 lit/s
( 3 ) 2553.11 lit/s
( 4 ) 3130.448 lit/s
Problem (14): A pump is being used to lift water from an underground
tank through a pipe of diameter (d) at discharge (Q). The total head
loss until the pump entrance can be calculated as (h₁ = K[V²/2g]), h
where (V) is the flow velocity in the pipe. The elevation difference
between the pump and tank surface is (h).
Given the values of h [cm], d [cm], and K [-], calculate the maximum
discharge Q [Lit/s] beyond which cavitation would take place at the
pump entrance. Assume Turbulent flow conditions.
Givens:
h = 120.31 cm
d = 14.455 cm
K = 8.976
Q
Answers:
(1) 94.917 lit/s
(2) 49.048 lit/s
( 3 ) 80.722 lit/s
68.588 lit/s
4
Chapter B Solutions
EBK ENGINEERING MECHANICS: DYNAMICS, SI
Ch. B.1 - Determine the mass moment of inertia of the bent...Ch. B.1 - Determine the mass moment of inertia of the...Ch. B.1 - Prob. 3PCh. B.1 - Prob. 4PCh. B.1 - Determine the mass moment of inertia of the...Ch. B.1 - Determine the mass moment of inertia about the...Ch. B.1 - Prob. 7PCh. B.1 - Prob. 8PCh. B.1 - Prob. 9PCh. B.1 - Prob. 10P
Ch. B.1 - Prob. 11PCh. B.1 - Prob. 12PCh. B.1 - Prob. 13PCh. B.1 - Prob. 14PCh. B.1 - Prob. 15PCh. B.1 - Prob. 16PCh. B.1 - Determine the moment of inertia about the...Ch. B.1 - Prob. 18PCh. B.1 - Prob. 19PCh. B.1 - Prob. 20PCh. B.1 - For the square pyramid of Prob. B/20, determine...Ch. B.1 - Prob. 22PCh. B.1 - Prob. 23PCh. B.1 - Prob. 24PCh. B.1 - Prob. 25PCh. B.1 - Prob. 26PCh. B.1 - Prob. 27PCh. B.1 - Determine the mass moment of inertia and...Ch. B.1 - Prob. 29PCh. B.1 - Prob. 30PCh. B.1 - Prob. 31PCh. B.1 - Prob. 32PCh. B.1 - Prob. 33PCh. B.1 - Prob. 34PCh. B.1 - Prob. 35PCh. B.1 - Prob. 36PCh. B.1 - Prob. 37PCh. B.1 - Prob. 38PCh. B.1 - Prob. 39PCh. B.1 - Calculate the moment of inertia of the steel...Ch. B.1 - Prob. 41PCh. B.1 - Prob. 42PCh. B.1 - Prob. 43PCh. B.1 - Prob. 44PCh. B.1 - Prob. 45PCh. B.1 - Prob. 46PCh. B.1 - Prob. 47PCh. B.1 - Prob. 48PCh. B.1 - Prob. 49PCh. B.1 - Determine the mass moment of inertia of the steel...Ch. B.1 - Prob. 51PCh. B.1 - Prob. 52PCh. B.1 - Prob. 53PCh. B.1 - Prob. 54PCh. B.1 - Prob. 55PCh. B.1 - Prob. 56PCh. B.2 - Determine the products of inertia about the...Ch. B.2 - Prob. 58PCh. B.2 - Determine the product of inertia Ixy for the...Ch. B.2 - Prob. 60PCh. B.2 - Prob. 61PCh. B.2 - Prob. 62PCh. B.2 - Prob. 63PCh. B.2 - Prob. 64PCh. B.2 - The homogeneous plate of Prob. B/7 is repeated...Ch. B.2 - Prob. 66PCh. B.2 - The aluminium casting consists of a 6-in. cube...Ch. B.2 - Prob. 68PCh. B.2 - Prob. 69PCh. B.2 - Prob. 70PCh. B.2 - Prob. 71PCh. B.2 - Prob. 73PCh. B.2 - The assembly of three small spheres connected by...
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- Problem (13): A pump is being used to lift water from the bottom tank to the top tank in a galvanized iron pipe at a discharge (Q). The length and diameter of the pipe section from the bottom tank to the pump are (L₁) and (d₁), respectively. The length and diameter of the pipe section from the pump to the top tank are (L2) and (d2), respectively. Given the values of Q [L/s], L₁ [m], d₁ [m], L₂ [m], d₂ [m], calculate total head loss due to friction (i.e., major loss) in the pipe (hmajor-loss) in [cm]. Givens: L₁,d₁ Pump L₂,d2 오 0.533 lit/s L1 = 6920.729 m d1 = 1.065 m L2 = 70.946 m d2 0.072 m Answers: (1) 3.069 cm (2) 3.914 cm ( 3 ) 2.519 cm ( 4 ) 1.855 cm TABLE 8.1 Equivalent Roughness for New Pipes Pipe Riveted steel Concrete Wood stave Cast iron Galvanized iron Equivalent Roughness, & Feet Millimeters 0.003-0.03 0.9-9.0 0.001-0.01 0.3-3.0 0.0006-0.003 0.18-0.9 0.00085 0.26 0.0005 0.15 0.045 0.000005 0.0015 0.0 (smooth) 0.0 (smooth) Commercial steel or wrought iron 0.00015 Drawn…arrow_forwardThe flow rate is 12.275 Liters/s and the diameter is 6.266 cm.arrow_forwardAn experimental setup is being built to study the flow in a large water main (i.e., a large pipe). The water main is expected to convey a discharge (Qp). The experimental tube will be built at a length scale of 1/20 of the actual water main. After building the experimental setup, the pressure drop per unit length in the model tube (APm/Lm) is measured. Problem (20): Given the value of APm/Lm [kPa/m], and assuming pressure coefficient similitude, calculate the drop in the pressure per unit length of the water main (APP/Lp) in [Pa/m]. Givens: AP M/L m = 590.637 kPa/m meen Answers: ( 1 ) 59.369 Pa/m ( 2 ) 73.83 Pa/m (3) 95.443 Pa/m ( 4 ) 44.444 Pa/m *******arrow_forward
- Find the reaction force in y if Ain = 0.169 m^2, Aout = 0.143 m^2, p_in = 0.552 atm, Q = 0.367 m^3/s, α = 31.72 degrees. The pipe is flat on the ground so do not factor in weight of the pipe and fluid.arrow_forwardFind the reaction force in x if Ain = 0.301 m^2, Aout = 0.177 m^2, p_in = 1.338 atm, Q = 0.669 m^3/s, and α = 37.183 degreesarrow_forwardProblem 5: Three-Force Equilibrium A structural connection at point O is in equilibrium under the action of three forces. • • . Member A applies a force of 9 kN vertically upward along the y-axis. Member B applies an unknown force F at the angle shown. Member C applies an unknown force T along its length at an angle shown. Determine the magnitudes of forces F and T required for equilibrium, assuming 0 = 90° y 9 kN Aarrow_forward
- Problem 19: Determine the force in members HG, HE, and DE of the truss, and state if the members are in tension or compression. 4 ft K J I H G B C D E F -3 ft -3 ft 3 ft 3 ft 3 ft- 1500 lb 1500 lb 1500 lb 1500 lb 1500 lbarrow_forwardProblem 14: Determine the reactions at the pin A, and the tension in cord. Neglect the thickness of the beam. F1=26kN F2 13 12 80° -2m 3marrow_forwardProblem 22: Determine the force in members GF, FC, and CD of the bridge truss and state if the members are in tension or compression. F 15 ft B D -40 ft 40 ft -40 ft 40 ft- 5 k 10 k 15 k 30 ft Earrow_forward
- Problem 20: Determine the force in members BC, HC, and HG. After the truss is sectioned use a single equation of equilibrium for the calculation of each force. State if the members are in tension or compression. 5 kN 4 kN 4 kN 3 kN 2 kN B D E F 3 m -5 m- -5 m- 5 m 5 m-arrow_forwardAn experimental setup is being built to study the flow in a large water main (i.e., a large pipe). The water main is expected to convey a discharge (Qp). The experimental tube will be built at a length scale of 1/20 of the actual water main. After building the experimental setup, the pressure drop per unit length in the model tube (APm/Lm) is measured. Problem (19): Given the value of Qp [m³/s], and assuming Reynolds number similitude between the water main and experimental tube, calculate the flow rate in the model tube (Qm) in [lit/s]. = 30.015 m^3/sarrow_forwardProblem 11: The lamp has a weight of 15 lb and is supported by the six cords connected together as shown. Determine the tension in each cord and the angle 0 for equilibrium. Cord BC is horizontal. E 30° B 60° Aarrow_forward
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moment of inertia; Author: NCERT OFFICIAL;https://www.youtube.com/watch?v=A4KhJYrt4-s;License: Standard YouTube License, CC-BY