EBK FLUID MECHANICS
2nd Edition
ISBN: 9780134626055
Author: HIBBELER
Publisher: PEARSON CUSTOM PUB.(CONSIGNMENT)
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Chapter 3, Problem 3FP
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1: The assembly shown is composed of a rigid plank ABC, supported by hinge at A, spring at B and cable at C.The cable is attached to a frictionless pulley at D and rigidly supported at E. The cable is made of steel with E = 200,000MPa and cross-sectional area of 500 mm2. The details of pulley at D is shown. The pulley is supported by a pin, passingthough the pulley and attached to both cheeks. Note that E is directly above B.Given: H = 3 m; L1 = 2 m; L2 = 4 m; w = 12 kN/m; x:y = 3:4Spring Parameters:Wire diameter = 30 mmMean Radius = 90 mmNumber of turns = 12Modulus of Rigidity = 80 GPaAllowable stresses:Allowable shear stress of Pin at D = 85 MPaAllowable normal stress of cheek at D = 90MPaAllowable bearing stress of cheek at D = 110MPa1. Calculate the reaction of spring Band tension in cable at C.2. Calculate the vertical displacementat C and the required diameter ofpin at D.3.…
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The compound shaft, composed of steel,aluminum, and bronze segments, carries the two torquesshown in the figure. If TC = 250 lb-ft, determine the maximumshear stress developed in each material (in ksi). The moduliof rigidity for steel, aluminum, and bronze are 12 x 106 psi, 4x 106 psi, and 6 x 106 psi, respectively
Chapter 3 Solutions
EBK FLUID MECHANICS
Ch. 3 - Prob. 1FPCh. 3 - A two-dimensional flow field is defined by u =...Ch. 3 - Prob. 3FPCh. 3 - The velocity of particles of dioxitol along the x...Ch. 3 - Prob. 5FPCh. 3 - Fluid flows through the curved pipe at a steady...Ch. 3 - Prob. 7FPCh. 3 - Fluid flows through the curved pipe such that...Ch. 3 - A two-dimensional flow field for a fluid can be...Ch. 3 - A two-dimensional flow field for a liquid can be...
Ch. 3 - A two-dimensional flow field for a fluid is...Ch. 3 - Prob. 4PCh. 3 - A flow field is defined by u = (2x2 + 1) m/s and υ...Ch. 3 - A flow field for a fluid is defined by u = (2 + y)...Ch. 3 - Particles travel within a flow field defined by V...Ch. 3 - Particles travel within a flow field defined by V...Ch. 3 - A flow field is defined by u = 10 m/s and υ = −3...Ch. 3 - A balloon is released into the air from the origin...Ch. 3 - A balloon is released into the air from point (1...Ch. 3 - Prob. 12PCh. 3 - A fluid has velocity components of u = (3x2 + 1)...Ch. 3 - A particle travels along the streamline defined by...Ch. 3 - Prob. 15PCh. 3 - Prob. 16PCh. 3 - Prob. 17PCh. 3 - Prob. 18PCh. 3 - A particle travels along a streamline defined by...Ch. 3 - Prob. 20PCh. 3 - The circulation of a fluid is defined by the...Ch. 3 - Prob. 22PCh. 3 - A two-dimensional flow field for benzene is...Ch. 3 - Air flows uniformly through the center of a...Ch. 3 - Oil flows through the reducer such that particles...Ch. 3 - A fluid has velocity components of u=(116x2yt)...Ch. 3 - A fluid flow is defined by u = (6x2 − 3y2) m/s and...Ch. 3 - Prob. 28PCh. 3 - Prob. 29PCh. 3 - A fluid flow is defined by u = (4xy) ft/s and υ =...Ch. 3 - Oil flows through the reducer such that particles...Ch. 3 - A fluid flow is defined by u=(14y2)m/s and...Ch. 3 - Prob. 33PCh. 3 - A fluid flow is defined by u = (0.5y) m/s and υ =...Ch. 3 - A velocity field for oil is defined by u = (3y)...Ch. 3 - The velocity for the flow of a gas along the...Ch. 3 - Prob. 37PCh. 3 - Air flowing through the center of the duct...Ch. 3 - A fluid flow is defined by u = (8t2) m/s and υ =...Ch. 3 - A fluid flow is defined by V = {4xi + 2j} m/s,...Ch. 3 - A fluid flow is defined by u = (2x2 − y2) m/s and...Ch. 3 - A fluid flow is defined by u = (2y2) m/s and υ =...Ch. 3 - The velocity of gasoline, along the centerline of...Ch. 3 - Prob. 44PCh. 3 - A fluid flow is defined by V = {4yi + 2xj} m/s,...Ch. 3 - Prob. 46PCh. 3 - Prob. 47PCh. 3 - As water flows steadily over the spillway, one of...Ch. 3 - Water flows into the drainpipe such that it only...Ch. 3 - The motion of a tornado can, in part, be described...Ch. 3 - A particle located at a point within a fluid flow...Ch. 3 - A particle moves along the circular streamline,...Ch. 3 - Air flows around the front circular surface. If...Ch. 3 - Fluid particles have velocity components of u =...Ch. 3 - A fluid has velocity components of u = (4xy) m/s...
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- Can you explain the algebra steps that aren't shown but stated to be there, on how to get this equationarrow_forwardCorrect answer and complete fbd only. I will upvote. A flanged bolt coupling consists of two concentric rows of bolts. The inner row has 6 nos. of 16mm diameterbolts spaced evenly in a circle of 250mm in diameter. The outer row of has 10 nos. of 25 mm diameter bolts spaced evenly in a circle of 500mm in diameter. If the allowable shear stress on one bolt is 60 MPa, determine the torque capacity of the coupling. The Poisson’s ratio of the inner row of bolts is 0.2 while that of the outer row is 0.25 and the bolts are steel, E =200 GPa.arrow_forwardCorrect answer and complete fbd only. I will upvote. 10: The constant wall thickness of a steel tube with the cross sectionshown is 2 mm. If a 600-N-m torque is applied to the tube. Use G = 80 GPa forsteel.1. Find the shear stress (MPa) in the wall of the tube.2. Find the angle of twist, in degrees per meter of length.arrow_forward
- CORRECT ANSWER WITH COMPLETE FBD ONLY. I WILL UPVOTE. A torque wrench is used to tighten the pipe shown.Dimensions: S1 = 400 mm; S2 = 250 mm; S3 = 100 mmModulus of Rigidity G = 78 GPa1. The diameter of the solid pipe is 20 mm. How much is themaximum force P (N) that can be applied based on theallowable shear stress of 60 MPa?2. For a hollow pipe with 50 mm outside diameter and is 6 mmthick, compute for the maximum force P (kN) that can beapplied such that the angle of twist at A does not exceed 5degrees.3. The torque applied to tighten the hollow pipe is 200 N-m.Given: Pipe outside diameter = 50 mm Pipe thickness = 6 mmSolve for the resulting maximum shear stress (MPa) in the pipe.arrow_forwardCorrect answer and complete fbd only. I will upvote. 6: The shaft carries a total torque T0 that is uniformly distributedover its length L. Determine the angle of twist (degrees) of the shaft in termsif T0 = 1.2 kN-m, L = 2 m, G = 80 GPa, and diameter = 120 mm.arrow_forward2. Calculate the force in all members of the trusses shown using the method of joints. A 5525 lb C 3500 lb BY 14'-0" D 10'- 0" 6250 lb 10'- 0" Earrow_forward
- Correct answer and complete fbd only. I will upvote. 8: The steel rod fits loosely inside the aluminum sleeve. Both components are attached to a rigid wall at A andjoined together by a pin at B. Because of a slight misalignmentof the pre-drilled holes, the torque T0 = 750 N-m was appliedto the steel rod before the pin could be inserted into theholes. Determine the torque (N-m) in each component afterT0 was removed. Use G = 80 GPa for steel and G = 28 GPa foraluminumarrow_forwardCorrect answer and complete fbd only. I will upvote. 9: The two steel shafts, each with one end builtinto a rigid support, have flanges attached to their freeends. The flanges are to be bolted together. However,initially there is a 6⁰ mismatch in the location of the boltholes as shown in the figure. Determine the maximumshear stress(ksi) in each shaft after the flanges have beenbolted together. The shear modulus of elasticity for steelis 12 x 106 psi. Neglect deformations of the bolts and theflanges.arrow_forwardCorrect answer and complete fbd only. I will upvote. The tapered, wrought iron shaft carriesthe torque T = 2000 lb-in at its free end. Determine theangle of twist (degrees) of the shaft. Use G = 10 x 106psi for wrought ironarrow_forward
- Correct answer and complete fbd only. I will upvote. The compound shaft, consisting of steel and aluminumsegments, carries the two torques shown in the figure. Determine themaximum permissible value of T subject to the following designconditions: τst ≤ 83 MPa, τal ≤ 55 MPa, and θ ≤ 6⁰ (θ is the angle ofrotation of the free end). Use G =83 GPa for steel and G = 28 GPa foraluminum.arrow_forwardThe solid compound shaft, made of threedifferent materials, carries the two torques shown. Theshear moduli are 28 GPa for aluminum, 83 GPa for steel,and 35 GPa for bronze.1. Calculate the maximum shear stress (MPa) in eachmaterial.2. Find the angle of rotation (degrees) of the free endof the shaft.arrow_forwardCorrect answer only please. I will upvote. The velocity of a particle moves along the x-axis and is given by the equation ds/dt = 40 - 3t^2 m/s. Calculate the acceleration at time t=2 s and t=4 s. Calculate also the total displacement at the given interval. Assume at t=0 s=5m.Write the solution using pen and draw the graph if needed.arrow_forward
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