
INTERNATIONAL EDITION---Engineering Mechanics: Statics, 14th edition (SI unit)
14th Edition
ISBN: 9780133918922
Author: Russell C. Hibbeler
Publisher: PEARSON
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Textbook Question
Chapter 3.3, Problem 4FP
Determine the unstretched length of the spring.
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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
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…
Chapter 3 Solutions
INTERNATIONAL EDITION---Engineering Mechanics: Statics, 14th edition (SI unit)
Ch. 3.3 - In each case, draw a free-body diagram of the ring...Ch. 3.3 - Do not solve.Ch. 3.3 - Determine the force in each supporting cable.Ch. 3.3 - Determine the shortest cable ABC that can be used...Ch. 3.3 - Neglect the size of the pulley.Ch. 3.3 - Determine the unstretched length of the spring.Ch. 3.3 - If the mass of cylinder C is 40 kg, determine the...Ch. 3.3 - Also, find the angle .Ch. 3.3 - Determine the magnitudes of F1 and F2 for...Ch. 3.3 - Determine the magnitude of F1 and its angle for...
Ch. 3.3 - Determine the magnitude and direction of F so...Ch. 3.3 - The bottom one is subjected to a 125-N force at...Ch. 3.3 - If the forces are concurrent at point O, determine...Ch. 3.3 - Determine the tension force in member C and its...Ch. 3.3 - If the tension in AB is 60 lb, determine the...Ch. 3.3 - The cords ABC and BD can each support a maximum...Ch. 3.3 - Determine the maximum force F that can be...Ch. 3.3 - Determine the angle for equilibrium and the force...Ch. 3.3 - Prob. 11PCh. 3.3 - Determine the force in each of the cables AB and...Ch. 3.3 - Prob. 13PCh. 3.3 - The springs are shown in the equilibrium position.Ch. 3.3 - If the block is held in the equilibrium position...Ch. 3.3 - Note that s = 0 when the cylinders are removed.Ch. 3.3 - Prob. 17PCh. 3.3 - determine the stiffness of the spring to hold the...Ch. 3.3 - Take k = 180 N/m.Ch. 3.3 - If the spring has an unstretched length of 2 ft,...Ch. 3.3 - Cord AB is 2 ft long. Take k = 50 lb/ft.Ch. 3.3 - Determine the horizontal force F applied to the...Ch. 3.3 - Determine the displacement d of the cord from the...Ch. 3.3 - Determine the distances x and y for equilibrium if...Ch. 3.3 - Determine the magnitude of F1 and the distance y...Ch. 3.3 - Determine the force in each cord for equilibrium.Ch. 3.3 - Determine the largest mass of pipe that can be...Ch. 3.3 - If each light has a weight of 50 lb. determine the...Ch. 3.3 - Determine the tension developed in each cord...Ch. 3.3 - Determine the maximum mass of the lamp that the...Ch. 3.3 - If x = 2 m determine the force F and the sag s for...Ch. 3.3 - If F = 80 N. determine the sag s and distance x...Ch. 3.3 - Determine the tension in each cord and the angle ...Ch. 3.3 - Determine the largest weight of the lamp that can...Ch. 3.3 - Also, what is the force in cord AB? Hint: use the...Ch. 3.3 - Determine the position x and the tension developed...Ch. 3.3 - Prob. 37PCh. 3.3 - Take F = 300 N and d = 1 m.Ch. 3.3 - If a force of F = 100 N is applied horizontally to...Ch. 3.3 - If the cable can be attached at either points A...Ch. 3.3 - Determine the position x and the tension in the...Ch. 3.3 - The cord is fixed to a pin at A and passes over...Ch. 3.3 - Establish appropriate dimensions and use an...Ch. 3.3 - If the maximum tension that can be supported by...Ch. 3.3 - If the angle between AB and BC is 30, determine...Ch. 3.3 - If the distance BC is 1.5 m, and AB can support a...Ch. 3.4 - Determine the magnitude of forces F1, F2, F3, so...Ch. 3.4 - Determine the tension developed in cables AB, AC,...Ch. 3.4 - Determine the tension developed in cables AB, AC,...Ch. 3.4 - F310. Determine the tension developed in cables...Ch. 3.4 - Determine the tension in these wires.Ch. 3.4 - Determine the force developed in each cable for...Ch. 3.4 - Determine the magnitudes of F1, F2, and F3 for...Ch. 3.4 - If the bucket and its contents have a total weight...Ch. 3.4 - Each spring has on unstretched length of 2 m and a...Ch. 3.4 - Determine the force in each cable needed to...Ch. 3.4 - Determine the tension in the cables in order to...Ch. 3.4 - Determine the maximum mass of the crate so that...Ch. 3.4 - Determine the force in each cable if F = 500 lb.Ch. 3.4 - Determine the greatest force F that can be applied...Ch. 3.4 - Determine the tens on developed in cables AB and...Ch. 3.4 - Also, what is the force developed along strut AD?Ch. 3.4 - Determine the tension developed in each cable for...Ch. 3.4 - Determine the maximum weight of the crate that can...Ch. 3.4 - Prob. 56PCh. 3.4 - If each cord can sustain a maximum tension of 50 N...Ch. 3.4 - which has a mass of 15 kg. Take h = 4 m.Ch. 3.4 - Take h = 3.5 m.Ch. 3.4 - Determine the force in each chain for equilibrium....Ch. 3.4 - Determine the tension in each cable for...Ch. 3.4 - If the maximum force in each rod con not exceed...Ch. 3.4 - Determine the tension developed in each cable for...Ch. 3.4 - If cable AD is tightened by a turnbuckle and...Ch. 3.4 - If cable AD is tightened by a turnbuckle and...Ch. 3.4 - Determine the tension developed in cables AB, AC,...Ch. 3.4 - Determine the maximum weight of the crate so that...Ch. 3.4 - If the bolt exerts a force of 50 lb on the pipe in...Ch. 3.4 - Prob. 2RPCh. 3.4 - Determine the maximum weight of the flowerpot that...Ch. 3.4 - Determine the magnitude of the applied vertical...Ch. 3.4 - Prob. 5RPCh. 3.4 - Determine the magnitudes of F1, F2, and F3 for...Ch. 3.4 - Determine the force in each cable needed to...Ch. 3.4 - If cable AB is subjected to a tension of 700 N,...
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- The 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_forwardFind 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_forward
- Find 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_forwardProblem 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_forward
- Problem 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_forwardProblem 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_forward
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