Fluid Mechanics (2nd Edition)
2nd Edition
ISBN: 9780134649290
Author: Russell C. Hibbeler
Publisher: PEARSON
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Chapter 3, Problem 8FP
To determine
The magnitude of the acceleration.
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3 kN
3 kN
1.8 kN/m
80 mm
B
300 mm
D
an
1.5 m-1.5 m--1.5 m-
PROBLEM 5.47
Using the method of Sec. 5.2, solve Prob. 5.16
PROBLEM 5.16 For the beam and loading shown, determine the
maximum normal stress due to bending on a transverse section at C.
300 mm
3 kN
3 kN
450 N-m
D
E
200 mm
300 mm
PROBLEM 5.12
Draw the shear and bending-moment diagrams for the beam and loading
shown, and determine the maximum absolute value (a) of the shear,
(b) of the bending moment.
CORRECT AND DETAILED SOLUTION WITH FBD ONLY. I WILL UPVOTE THANK YOU. CORRECT ANSWER IS ALREADY PROVIDED. I REALLY NEED FBD.
The cantilevered spandrel beam shown whose depth tapers from d1 to d2, has a constant width of 120mm. It carries a triangularly distributed end reaction.Given: d1 = 600 mm, d2 = 120 mm, L = 1 m, w = 100 kN/m1. Calculate the maximum flexural stress at the support, in kN-m.2. Determine the distance (m), from the free end, of the section with maximum flexural stress.3. Determine the maximum flexural stress in the beam, in MPa.ANSWERS: (1) 4.630 MPa; (2) 905.8688 m; (3) 4.65 MPa
Chapter 3 Solutions
Fluid Mechanics (2nd Edition)
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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- CORRECT AND DETAILED SOLUTION WITH FBD ONLY. I WILL UPVOTE THANK YOU. CORRECT ANSWER IS ALREADY PROVIDED. I REALLY NEED FBD A concrete wall retains water as shown. Assume that the wall is fixed at the base. Given: H = 3 m, t = 0.5m, Concrete unit weight = 23 kN/m3Unit weight of water = 9.81 kN/m3(Hint: The pressure of water is linearly increasing from the surface to the bottom with intensity 9.81d.)1. Find the maximum compressive stress (MPa) at the base of the wall if the water reaches the top.2. If the maximum compressive stress at the base of the wall is not to exceed 0.40 MPa, what is the maximum allowable depth(m) of the water?3. If the tensile stress at the base is zero, what is the maximum allowable depth (m) of the water?ANSWERS: (1) 1.13 MPa, (2) 2.0 m, (3) 1.20 marrow_forwardCORRECT AND DETAILED SOLUTION WITH FBD ONLY. I WILL UPVOTE THANK YOU. CORRECT ANSWER IS ALREADY PROVIDED. I NEED FBD A short plate is attached to the center of the shaft as shown. The bottom of the shaft is fixed to the ground.Given: a = 75 mm, h = 125 mm, D = 38 mmP1 = 24 kN, P2 = 28 kN1. Calculate the maximum torsional stress in the shaft, in MPa.2. Calculate the maximum flexural stress in the shaft, in MPa.3. Calculate the maximum horizontal shear stress in the shaft, in MPa.ANSWERS: (1) 167.07 MPa; (2) 679.77 MPa; (3) 28.22 MPaarrow_forwardCORRECT AND DETAILED SOLUTION WITH FBD ONLY. I WILL UPVOTE THANK YOU. CORRECT ANSWER IS ALREADY PROVIDED. I REALLY NEED FBD. The roof truss shown carries roof loads, where P = 10 kN. The truss is consisting of circular arcs top andbottom chords with radii R + h and R, respectively.Given: h = 1.2 m, R = 10 m, s = 2 m.Allowable member stresses:Tension = 250 MPaCompression = 180 MPa1. If member KL has square section, determine the minimum dimension (mm).2. If member KL has circular section, determine the minimum diameter (mm).3. If member GH has circular section, determine the minimum diameter (mm).ANSWERS: (1) 31.73 mm; (2) 35.81 mm; (3) 18.49 mmarrow_forward
- PROBLEM 3.23 3.23 Under normal operating condi- tions a motor exerts a torque of magnitude TF at F. The shafts are made of a steel for which the allowable shearing stress is 82 MPa and have diameters of dCDE=24 mm and dFGH = 20 mm. Knowing that rp = 165 mm and rg114 mm, deter- mine the largest torque TF which may be exerted at F. TF F rG- rp B CH TE Earrow_forward1. (16%) (a) If a ductile material fails under pure torsion, please explain the failure mode and describe the observed plane of failure. (b) Suppose a prismatic beam is subjected to equal and opposite couples as shown in Fig. 1. Please sketch the deformation and the stress distribution of the cross section. M M Fig. 1 (c) Describe the definition of the neutral axis. (d) Describe the definition of the modular ratio.arrow_forwardusing the theorem of three moments, find all the moments, I only need concise calculations with minimal explanations. The correct answers are provided at the bottomarrow_forward
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