FUNDAMENTALS OF FLUID MECHANICS
8th Edition
ISBN: 9781119571490
Author: GERHART
Publisher: WILEY
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Chapter 2.12, Problem 158P
To determine
Determine the maximum rotational speed of the tank of water can be rotated.
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CORRECT AND DETAILED HANDWRITTEN SOLUTION WITH FBD ONLY. I WILL UPVOTE THANK YOU. CORRECT ANSWER IS ALREADY PROVIDED.
20: A 2022 Porsche 911 (992) GT3 is crossing a 20 ft bridge. The specification of the car is shown below.Determine the maximum shear (in lb) and moment (in lb-ft) on the bridge.
ANS: Vmax = 2,680.850 lb ; Mmax = 11,233.13 lb-ft
CORRECT AND DETAILED HANDWRITTEN SOLUTION WITH FBD ONLY. I WILL UPVOTE THANK YOU. CORRECT ANSWER IS ALREADY PROVIDED.
Answers:
P1 = 208.625 KN/M
P2 = 281.310 KN/M
P = 15.491 KN/M
FB = 463.402 MPA
FV = 55.034 MPA
CORRECT AND DETAILED HANDWRITTEN SOLUTION WITH FBD ONLY. I WILL UPVOTE THANK YOU. CORRECT ANSWER IS ALREADY PROVIDED.
18: Determine the maximum shear and moment that would be experienced by a 10 m beam if a three-wheelmoving load of 10 kN, 30 kN, and 5 kN respectively will pass it by. The distance between the 1st and 2nd load is 1 m and the distance between the 2nd and 3rd load is 3 m.ANS: Vmax = 40 kN ; Mmax = 100.014 kN-m
Chapter 2 Solutions
FUNDAMENTALS OF FLUID MECHANICS
Ch. 2.3 - Prob. 1PCh. 2.3 - The deepest known spot in the oceans is the...Ch. 2.3 - A closed tank is partially filled with glycerin....Ch. 2.3 - A 3-m-diameter vertical cylindrical tank is filled...Ch. 2.3 - Blood pressure is usually given as a ratio of the...Ch. 2.3 - An unknown immiscible liquid seeps into the bottom...Ch. 2.3 - A 30-ft-high downspout of a house is clogged at...Ch. 2.3 - How high a column of SAE 30 oil would be required...Ch. 2.3 - Bathyscaphes are capable of submerging to great...Ch. 2.3 - The deepest known spot in the oceans is the...
Ch. 2.3 - A submarine submerges by admitting seawater (S =...Ch. 2.3 - Determine the pressure at the bottom of an open...Ch. 2.3 - In a certain liquid at rest, measurements of the...Ch. 2.3 - Because of elevation differences, the water...Ch. 2.3 - Under normal conditions the temperature of the...Ch. 2.3 - Often young children drink milk (ρ = 1030 kg/m3)...Ch. 2.3 - (See The Wide World of Fluids article titled...Ch. 2.4 - What would be the barometric pressure reading, in...Ch. 2.4 - Denver, Colorado, is called the “mile-high city”...Ch. 2.4 - Prob. 20PCh. 2.4 - Pikes Peak near Denver, Colorado, has an elevation...Ch. 2.4 - Equation 2.12 provides the relationship between...Ch. 2.4 - As shown in Fig. 2.6 for the U.S. standard...Ch. 2.4 - (See The Wide World of Fluids article titled...Ch. 2.5 - On a given day, a barometer at the base of the...Ch. 2.5 - Aneroid barometers can be used to measure changes...Ch. 2.5 - Bourdon gages (see Video V2.4 and Fig. 2.13) are...Ch. 2.5 - On the suction side of a pump, a Bourdon pressure...Ch. 2.5 - A Bourdon pressure gage attached to the outside of...Ch. 2.6 - Obtain a photograph/image of a situation in which...Ch. 2.6 - A U-tube manometer is used to check the pressure...Ch. 2.6 - A barometric pressure of 29.4 in. Hg corresponds...Ch. 2.6 - For an atmospheric pressure of 101 kPa (abs)...Ch. 2.6 - The closed tank of Fig. P.2.34 is filled with...Ch. 2.6 - A mercury manometer is connected to a large...Ch. 2.6 - The U-tube manometer shown in Fig. P2.36 has two...Ch. 2.6 - A U-tube manometer is connected to a closed tank...Ch. 2.6 - The container shown in Fig. P2.38 holds 60 °F...Ch. 2.6 - A closed cylindrical tank filled with water has a...Ch. 2.6 - Two pipes are connected by a manometer as shown in...Ch. 2.6 - Find the percentage difference in the readings of...Ch. 2.6 - A U-tube manometer is connected to a closed tank...Ch. 2.6 - For the inclined-tube manometer of Fig. P2.43, the...Ch. 2.6 - A flowrate measuring device is installed in a...Ch. 2.6 - The sensitivity Sen of the micromanometer shown in...Ch. 2.6 - The cylindrical tank with hemispherical ends shown...Ch. 2.6 - Determine the elevation difference. Δh, between...Ch. 2.6 - What is the specific gravity of the liquid in the...Ch. 2.6 - For the configuration shown in Fig. P2.49 what...Ch. 2.6 - The manometer shown in Fig. P2.50 has an air...Ch. 2.6 - The U-tube manometer shown in Fig. P2.51 has legs...Ch. 2.6 - Both ends of the U-tube mercury manometer of Fig....Ch. 2.6 - The inverted U-tube manometer of Fig. P2.53...Ch. 2.6 - An inverted U-tube manometer containing oil (SG =...Ch. 2.6 - The sensitivity Sen of the manometer shown in Fig....Ch. 2.6 - In Fig. P2.56 pipe A contains gasoline (SG = 0.7),...Ch. 2.6 - The mercury manometer of Fig. P2.57 indicates a...Ch. 2.6 - Consider the cistern manometer shown in Fig....Ch. 2.6 - Prob. 59PCh. 2.6 - Prob. 60PCh. 2.6 - Determine the new differential reading along the...Ch. 2.6 - Prob. 62PCh. 2.6 - Determine the ratio of areas, A1/A2, of the two...Ch. 2.6 - Prob. 64PCh. 2.6 - Prob. 65PCh. 2.6 - An inverted hollow cylinder is pushed into the...Ch. 2.8 - Obtain a photograph/image of a situation in which...Ch. 2.8 - The basic elements of a hydraulic press are shown...Ch. 2.8 - The hydraulic cylinder shown in Fig. P2.69, with a...Ch. 2.8 - A Bourdon gage (see Fig. 2.13 and Video V2.4) is...Ch. 2.8 - A bottle jack allows an average person to lift one...Ch. 2.8 - Suction is often used in manufacturing processes...Ch. 2.8 - A piston having a cross-sectional area of 0.07 m2...Ch. 2.8 - Prob. 74PCh. 2.8 - The container shown in Fig. P2.75 has square cross...Ch. 2.8 - Find the weight W needed to hold the wall shown in...Ch. 2.8 - Determine the magnitude and direction of the force...Ch. 2.8 - An automobile has just dropped into a river. The...Ch. 2.8 - Consider the gate shown in Fig. P2.79. The gate is...Ch. 2.8 - Will the gate in Problem 44 ever open?
Ch. 2.8 - A tank contains 6 in. of oil (S = 0.82) above 6...Ch. 2.8 - A structure is attached to the ocean floor as...Ch. 2.8 - Concrete is poured into the forms as shown in Fig....Ch. 2.8 - A long, vertical wall separates seawater from...Ch. 2.8 - Forms used to make a concrete basement wall are...Ch. 2.8 - While building a high, tapered concrete wall,...Ch. 2.8 - A homogeneous, 4-ft-wide, 8-ft-long rectangular...Ch. 2.8 - A gate having the shape shown in Fig. P2.88 is...Ch. 2.8 - A pump supplies water under pressure to a large...Ch. 2.8 - Prob. 90PCh. 2.8 - Prob. 91PCh. 2.8 - The dam shown in Fig. P2.92 is 200 ft long and is...Ch. 2.8 - Prob. 93PCh. 2.8 - Figure P2.94 is a representation of the Keswick...Ch. 2.8 - The Keswick dam in Problem 2.94 is made of...Ch. 2.8 - The Keswick dam in Problem 2.94 is made of...Ch. 2.8 - Prob. 97PCh. 2.8 - Prob. 98PCh. 2.8 - Find the magnitude and location of the net...Ch. 2.8 - Prob. 100PCh. 2.8 - Find the total vertical force on the cylinder...Ch. 2.8 - A 3-m-wide, 8-m-high rectangular gate is located...Ch. 2.8 - A gate having the cross section shown in Fig....Ch. 2.8 - The massless, 4-ft-wide gate shown in Fig. P2.104...Ch. 2.8 - A 200-lb homogeneous gate 10 ft wide and 5 ft long...Ch. 2.8 - An open tank has a vertical partition and on one...Ch. 2.8 - Prob. 107PCh. 2.8 - A 4-ft by 3-ft massless rectangular gate is used...Ch. 2.8 - A thin 4-ft-wide, right-angle gate with negligible...Ch. 2.8 - The closed vessel of Fig. P2.110 contains water...Ch. 2.8 - (See The Wide World of Fluids article titled “The...Ch. 2.10 - Obtain a photograph/image of a situation in which...Ch. 2.10 - Prob. 113PCh. 2.10 - Prob. 114PCh. 2.10 - Figure P2.115 shows a cross section of a submersed...Ch. 2.10 - The container shown in Fig. P2.116 has circular...Ch. 2.10 - The 18-ft-long lightweight gate of Fig. P2.117 is...Ch. 2.10 - The air pressure in the top of the 2-liter pop...Ch. 2.10 - In drilling for oil in the Gulf of Mexico, some...Ch. 2.10 -
Hoover Dam (see Video 2.5) is the highest...Ch. 2.10 - A plug in the bottom of a pressurized tank is...Ch. 2.10 -
The homogeneous gate shown in Fig. P2.122...Ch. 2.10 - The concrete (specific weight = 150 lb/ft3)...Ch. 2.10 - Prob. 124PCh. 2.10 - Find the magnitude, direction, and location of the...Ch. 2.10 - A 10-m-long log is stuck against a dam, as shown...Ch. 2.10 - Prob. 127PCh. 2.10 - Prob. 128PCh. 2.10 - Prob. 129PCh. 2.10 - Prob. 130PCh. 2.10 - Prob. 131PCh. 2.11 - Prob. 132PCh. 2.11 - An iceberg (specific gravity 0.917) floats in the...Ch. 2.11 - Prob. 134PCh. 2.11 - Prob. 135PCh. 2.11 - Prob. 136PCh. 2.11 - Prob. 137PCh. 2.11 - Prob. 138PCh. 2.11 - Estimate the minimum water depth needed to float a...Ch. 2.11 - Prob. 140PCh. 2.11 - Prob. 141PCh. 2.11 - Prob. 142PCh. 2.11 - Prob. 143PCh. 2.11 - A solid cylindrical pine (S = 0.50) spar buoy has...Ch. 2.11 - Prob. 145PCh. 2.11 - Prob. 146PCh. 2.11 - Prob. 147PCh. 2.11 - A submarine is modeled as a cylinder with a length...Ch. 2.12 - Prob. 149PCh. 2.12 - Prob. 150PCh. 2.12 - Prob. 151PCh. 2.12 - Prob. 152PCh. 2.12 - Prob. 153PCh. 2.12 - The cylinder in Fig. P2.154 accelerates to the...Ch. 2.12 - A closed cylindrical tank that is 8 ft in diameter...Ch. 2.12 - The cart shown in Fig. P2.156 measures 10.0 cm...Ch. 2.12 - The U-tube manometer in Fig. P2.157 is used to...Ch. 2.12 - Prob. 158PCh. 2.12 - An open 1-m-diameter tank contains water at a...Ch. 2.12 - Prob. 160PCh. 2.12 - Prob. 161PCh. 2.12 - Prob. 162PCh. 2.12 - Prob. 163P
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- CORRECT AND DETAILED HANDWRITTEN SOLUTION WITH FBD ONLY. I WILL UPVOTE THANK YOU. CORRECT ANSWER IS ALREADY PROVIDED. 5: A 12-m simply supported bridge is constructed with 100-mm concrete slab deck supported by precastconcrete stringers spaced 800 mm on center. Analyze the stringers when subjected to a moving load consisting of 3 evenly spaced axle loads at 3 m and equivalent to 20 kN, 30 kN and 40 kN respectively. The self-weight of the stringers is 8.5 kN/m and the concrete deck has a unit weight of 24 kN/m3 . Neglect all other superimposed loads. Calculate: (a) the maximum shear force in the stringers; (b) the maximum bending moment in the stringers. Answer: Vmax = 135.020 KN, Mmax = 477.388 KN-Marrow_forwardCORRECT AND DETAILED HANDWRITTEN SOLUTION WITH FBD ONLY. I WILL UPVOTE THANK YOU. CORRECT ANSWER IS ALREADY PROVIDED. 19: A 22-wheeler truck is crossing over 25 m bridge. The dimensions between the axles of the truck are shownin the figure below. Axles 1 to 3 carry a 90 kN load each, axles 4 and 5 carry a 65 kN load each, and the axle directly below the cab of the truck has a load of 100 kN. Determine the maximum shear and moment on the bridge.ANS: Vmax = 374.92 kN ; Mmax = 1,702.229 kN-marrow_forwardCORRECT AND DETAILED HANDWRITTEN SOLUTION WITH FBD ONLY. I WILL UPVOTE THANK YOU. CORRECT ANSWER IS ALREADY PROVIDED. 1. A H = 6 m cantilever retaining wall is subjected to a soil pressurelinearly varying from zero at the top to 90 kPa at the bottom. As an additionalsupport, it is anchored at depth y = 2 m. with maximum tension equal to 25kN. Assume that the stem provides fully retrained support. Draw the shearand moment diagram of the wall to calculate the following: (a) Maximumpositive bending moment per linear meter; (b) maximum negative bendingmoment per linear meter; (c) maximum shear force per linear meter. answer: +MMax = 440 kn-m, -Mmax = 0kn-M, Vmax = 245 KNarrow_forward
- CORRECT AND DETAILED HANDWRITTEN SOLUTION WITH FBD ONLY. I WILL UPVOTE THANK YOU. CORRECT ANSWER IS ALREADY PROVIDED. 17: A simply supported beam with the section shown below has an allowableflexural shearing stress of 43 MPa. (a) Determine the maximum allowable shearing force onthe section. And (b) what is the minimum thickness of plate that should be welded at theflanges if the section is to withstand a total shearing force of 200 kN. The additional plate willhave its base dimension equal to the flange dimension.ANS: V = 179.333 kN ; t = 23.181 mmarrow_forwardCORRECT AND DETAILED HANDWRITTEN SOLUTION WITH FBD ONLY. I WILL UPVOTE THANK YOU. CORRECT ANSWER IS ALREADY PROVIDED. Answer: A = 0.207 L(M)arrow_forwardQu 4 The 12-kg slender rod is attached to a spring, which has an unstretched length of 2 m. If the rod is released from rest when 0 = 30°, determine its angular velocity at the instant 0 = 90°. 2 m B k = 40 N/m 2 marrow_forward
- CORRECT AND DETAILED HANDWRITTEN SOLUTION WITH FBD ONLY. I WILL UPVOTE THANK YOU. CORRECT ANSWER IS ALREADY PROVIDED. 13: A cantilever beam is of length 1.5 m,loaded by a concentrated load P at its tip as shown inFig. 8-18(a), and is of circular cross section (R = 100 mm),having two symmetrically placed longitudinal holes asindicated. The material is titanium alloy, having anallowable working stress in bending of 600 MPa.Determine the maximum allowable value of the verticalforce P. ANS: P = 236,589.076 N = 236.589 kNarrow_forwardCORRECT AND DETAILED HANDWRITTEN SOLUTION WITH FBD ONLY. I WILL UPVOTE THANK YOU. CORRECT ANSWER IS ALREADY PROVIDED. 15: Consider a beam having an I-type cross section as shown in Fig. 8-45. Ashearing force V of 150 kN acts over the section. Determine the maximum and minimumvalues of the shearing stress in the vertical web of the section.ANS: fv(max) = 44.048 MPa ; fv(min) = 33.202 MPaarrow_forwardCORRECT AND DETAILED HANDWRITTEN SOLUTION WITH FBD ONLY. I WILL UPVOTE THANK YOU. CORRECT ANSWER IS ALREADY PROVIDED. 12: A steel cantilever beam 16 ft 8 in in length is subjected to a concentrated load of 320 lb acting at the freeend of the bar. A commercially available rolled steel section, designated as W12x32, is used for the beam. Assume that the total depth of the beam is 12 in, and the neutral axis of the section is in the middle. Determine the maximum tensile and compressive stresses. (Properties of commercially available rolled steel section provided in the table. Z = section modulus). ANS: σT = σC = 1,572.482 lb/in2arrow_forward
- CORRECT AND DETAILED HANDWRITTEN SOLUTION WITH FBD ONLY. I WILL UPVOTE THANK YOU. CORRECT ANSWER IS ALREADY PROVIDED. 14: Two ½-in x 8-in cover plates are welded to two channels 10 in high to formthe cross section of the beam shown in Fig. 8-59. Loads are in a vertical plane and bendingtakes place about a horizontal axis. The moment of inertia of each channel about ahorizontal axis through the centroid is 78.5 in4. If the maximum allowable elastic bendingstress is 18,000 lb/in2, determine the maximum bending moment that may be developedin the beam.ANS: 1,236,000 lb-in.arrow_forwardCORRECT AND DETAILED HANDWRITTEN SOLUTION WITH FBD ONLY. I WILL UPVOTE THANK YOU. CORRECT ANSWER IS ALREADY PROVIDED. 11: A beam of circular cross section is 7 in in diameter. It is simply supported at each end and loaded by twoconcentrated loads of 20,000 lb each, applied 12 in from the ends of the beam. Determine the maximum bending stressin the beam. ANS: σ = 7,127.172 lb/in2arrow_forwardusing the theorem of three moments, find all the reactions and supportsarrow_forward
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