Engineering Mechanics: Statics and Study Pack (13th Edition)
13th Edition
ISBN: 9780133027990
Author: Russell C. Hibbeler
Publisher: Prentice Hall
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Chapter 4.4, Problem 12FP
Express the result as a Cartesian
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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 4 Solutions
Engineering Mechanics: Statics and Study Pack (13th Edition)
Ch. 4.4 - F41. Determine the moment of the force about point...Ch. 4.4 - F42. Determine the moment of the force about point...Ch. 4.4 - F43. Determine the moment of the force about point...Ch. 4.4 - Neglect the thickness of the member.Ch. 4.4 - F45. Determine the moment of the force about point...Ch. 4.4 - F46. Determine the moment of the force about point...Ch. 4.4 - F47. Determine the resultant moment produced by...Ch. 4.4 - F48. Determine the resultant moment produced by...Ch. 4.4 - F49. Determine the resultant moment produced by...Ch. 4.4 - Express the result as a Cartesian vector.
Ch. 4.4 - Express the result as a Cartesian vector.Ch. 4.4 - Express the result as a Cartesian vector.Ch. 4.4 - If A, B, and D are given vectors, prove the...Ch. 4.4 - Prove the triple scalar product identity A (B C)...Ch. 4.4 - Given the three nonzero vectors A, B and C, show...Ch. 4.4 - Determine the moment about point A of each of the...Ch. 4.4 - Determine the moment about point B of each of the...Ch. 4.4 - Prob. 6PCh. 4.4 - Determine the moment of each of the three forces...Ch. 4.4 - Determine the moment of each of the three forces...Ch. 4.4 - Take FB = 40 lb, FC = 50 lb. Probs. 49/10Ch. 4.4 - If FB = 30 lb and FC = 45 lb, determine the...Ch. 4.4 - Prob. 11PCh. 4.4 - Prob. 12PCh. 4.4 - Prob. 13PCh. 4.4 - Prob. 14PCh. 4.4 - Prob. 15PCh. 4.4 - Prob. 16PCh. 4.4 - Prob. 17PCh. 4.4 - The tower crane is used to hoist the 2-Mg load...Ch. 4.4 - The tower crane is used to hoist a 2-Mg load...Ch. 4.4 - The handle of the hammer is subjected to the force...Ch. 4.4 - In order to pull out the nail at B, the force F...Ch. 4.4 - Prob. 22PCh. 4.4 - Prob. 23PCh. 4.4 - Prob. 24PCh. 4.4 - If the 1500-lb boom AB, the 200-lb cage BCD, and...Ch. 4.4 - If the 1500-lb boom AB, the 200-lb cage BCD, and...Ch. 4.4 - Prob. 27PCh. 4.4 - Prob. 28PCh. 4.4 - Prob. 29PCh. 4.4 - A force F having a magnitude of F = 100N acts...Ch. 4.4 - Prob. 31PCh. 4.4 - Prob. 32PCh. 4.4 - Prob. 33PCh. 4.4 - Prob. 34PCh. 4.4 - Using a ring collar, the 75-N force can act in the...Ch. 4.4 - Prob. 36PCh. 4.4 - Prob. 37PCh. 4.4 - Force F acts perpendicular to the inclined plane....Ch. 4.4 - Force F acts perpendicular to the inclined plane....Ch. 4.4 - The pipe assembly is subjected to the 80-N force....Ch. 4.4 - The pipe assembly is subjected to the 80-N force....Ch. 4.4 - Strut AB of the 1-m-diameter hatch door exerts a...Ch. 4.4 - Determine the smallest force F that must be...Ch. 4.4 - Determine the smallest force F that must be...Ch. 4.4 - A force F = {6i 2j + 1k}kN produces a moment of...Ch. 4.4 - The force F = {6i + 8j + 10k}N creates a moment...Ch. 4.5 - F413. Determine the magnitude of the moment of the...Ch. 4.5 - F414. Determine the magnitude of the moment of the...Ch. 4.5 - Prob. 15FPCh. 4.5 - F416. Determine the magnitude of the moment of the...Ch. 4.5 - Express the result as a Cartesian vector.Ch. 4.5 - Prob. 18FPCh. 4.5 - Prob. 47PCh. 4.5 - Prob. 48PCh. 4.5 - Prob. 49PCh. 4.5 - Prob. 50PCh. 4.5 - Determine the moment of this force about the...Ch. 4.5 - Determine the magnitude of the moments of the...Ch. 4.5 - Determine the moment of this force F about an axis...Ch. 4.5 - The board is used to hold the end of a four-way...Ch. 4.5 - The board is used to hold the end of a four-way...Ch. 4.5 - Prob. 56PCh. 4.5 - Prob. 57PCh. 4.5 - Prob. 58PCh. 4.5 - Prob. 59PCh. 4.5 - The force of F = 30 N acts on the bracket as...Ch. 4.5 - Prob. 61PCh. 4.5 - Prob. 62PCh. 4.5 - Prob. 63PCh. 4.5 - Prob. 64PCh. 4.5 - Prob. 65PCh. 4.5 - The A-frame is being hoisted into an upright...Ch. 4.6 - F419. Determine the resultant couple moment acting...Ch. 4.6 - F420. Determine the resultant couple moment acting...Ch. 4.6 - Determine the magnitude of F so that the resultant...Ch. 4.6 - Determine the couple moment acting on the beam.Ch. 4.6 - Determine the resultant couple moment acting on...Ch. 4.6 - Determine the couple moment acting on the pipe...Ch. 4.6 - A twist of 4 N m is applied to the handle of the...Ch. 4.6 - Prob. 68PCh. 4.6 - Prob. 69PCh. 4.6 - Two couples act on the beam. If F = 125 lb,...Ch. 4.6 - Two couples act on the beam. Determine the...Ch. 4.6 - Determine the magnitude of the couple forces so...Ch. 4.6 - The man tries to open the valve by applying the...Ch. 4.6 - If the valve can be opened with a couple moment of...Ch. 4.6 - Prob. 75PCh. 4.6 - Determine the magnitude of the couple forces F so...Ch. 4.6 - Two couples act on the beam as shown. If F = 150...Ch. 4.6 - Two couples act on the beam as shown. Determine...Ch. 4.6 - Prob. 79PCh. 4.6 - Prob. 80PCh. 4.6 - Prob. 81PCh. 4.6 - Prob. 82PCh. 4.6 - Prob. 83PCh. 4.6 - Prob. 84PCh. 4.6 - Prob. 85PCh. 4.6 - Prob. 86PCh. 4.6 - Prob. 87PCh. 4.6 - Prob. 88PCh. 4.6 - Prob. 89PCh. 4.6 - Prob. 90PCh. 4.6 - If F = 80 N, determine the magnitude and...Ch. 4.6 - If the magnitude of the couple moment acting on...Ch. 4.6 - Prob. 93PCh. 4.6 - Prob. 94PCh. 4.6 - If F1 = 100 N, F2 = 120 N, and F3 = 80 N,...Ch. 4.6 - Prob. 96PCh. 4.7 - Replace the leading system by an equivalent...Ch. 4.7 - Prob. 26FPCh. 4.7 - Replace the loading system by an equivalent...Ch. 4.7 - Replace the loading system by an equivalent...Ch. 4.7 - Replace the loading system by an equivalent...Ch. 4.7 - Replace the loading system by an equivalent...Ch. 4.7 - Prob. 97PCh. 4.7 - Prob. 98PCh. 4.7 - Replace the force system acting on the beam by an...Ch. 4.7 - Replace the force system acting on the beam by an...Ch. 4.7 - Replace the force system acting on the post by a...Ch. 4.7 - Prob. 102PCh. 4.7 - Prob. 103PCh. 4.7 - Prob. 104PCh. 4.7 - Prob. 105PCh. 4.7 - Prob. 106PCh. 4.7 - A biomechanical model of the lumbar region of the...Ch. 4.7 - Prob. 108PCh. 4.7 - Prob. 109PCh. 4.7 - The belt passing over the pulley is subjected to...Ch. 4.7 - The belt passing over the pulley is subjected to...Ch. 4.7 - Prob. 112PCh. 4.8 - Replace the loading system by an equivalent...Ch. 4.8 - Replace the loading system by an equivalent...Ch. 4.8 - Replace the loading system by an equivalent...Ch. 4.8 - Replace the loading system by an equivalent...Ch. 4.8 - Replace the loading shown by an equivalent single...Ch. 4.8 - Replace the loading shown by an equivalent single...Ch. 4.8 - The weights of the various components of the truck...Ch. 4.8 - The weights of the various components of the truck...Ch. 4.8 - Prob. 115PCh. 4.8 - Prob. 116PCh. 4.8 - Replace the loading acting on the beam by a single...Ch. 4.8 - Replace the loading acting on the beam by a single...Ch. 4.8 - R46. Replace the force system acting on the frame...Ch. 4.8 - Prob. 120PCh. 4.8 - Prob. 121PCh. 4.8 - Prob. 122PCh. 4.8 - Prob. 123PCh. 4.8 - Replace the force system acting on the post by a...Ch. 4.8 - Replace the force system acting on the post by a...Ch. 4.8 - Prob. 126PCh. 4.8 - The tube supports the four parallel forces....Ch. 4.8 - Prob. 128PCh. 4.8 - Prob. 129PCh. 4.8 - Determine the equivalent resultant force and...Ch. 4.8 - Prob. 131PCh. 4.8 - If FA= 40 kN and FB = 35 kN, determine the...Ch. 4.8 - Prob. 133PCh. 4.8 - Replace the two wrenches and the force, acting on...Ch. 4.8 - Prob. 135PCh. 4.8 - Prob. 136PCh. 4.8 - Prob. 137PCh. 4.9 - Determine the resultant force and specify where it...Ch. 4.9 - Determine the resultant force and specify where it...Ch. 4.9 - Determine the resultant force and specify where it...Ch. 4.9 - Determine the resultant force and specify where it...Ch. 4.9 - Determine the resultant force and specify where it...Ch. 4.9 - Determine the resultant force and specify where it...Ch. 4.9 - Prob. 138PCh. 4.9 - Replace the distributed loading with an equivalent...Ch. 4.9 - Prob. 140PCh. 4.9 - Prob. 141PCh. 4.9 - Prob. 142PCh. 4.9 - Prob. 143PCh. 4.9 - The distribution of soil loading on the bottom of...Ch. 4.9 - R48. Replace the distributed loading by an...Ch. 4.9 - Prob. 146PCh. 4.9 - Prob. 147PCh. 4.9 - Prob. 148PCh. 4.9 - Prob. 149PCh. 4.9 - Replace the loading by an equivalent force and...Ch. 4.9 - Prob. 151PCh. 4.9 - Prob. 152PCh. 4.9 - Prob. 153PCh. 4.9 - Prob. 154PCh. 4.9 - Prob. 155PCh. 4.9 - Prob. 156PCh. 4.9 - Prob. 157PCh. 4.9 - Replace the distributed loading with an equivalent...Ch. 4.9 - Wet concrete exerts a pressure distribution along...Ch. 4.9 - Prob. 160PCh. 4.9 - Prob. 161PCh. 4.9 - Prob. 162PCh. 4.9 - Prob. 163RPCh. 4.9 - Prob. 164RPCh. 4.9 - Prob. 165RPCh. 4.9 - Prob. 166RPCh. 4.9 - R42. Replace the force F having a magnitude of F =...Ch. 4.9 - Prob. 168RPCh. 4.9 - Prob. 169RPCh. 4.9 - Prob. 170RPCh. 4.9 - Prob. 171RPCh. 4.9 - and mass center at G. If the maximum moment that...Ch. 4.9 - Prob. 173RP
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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
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