Applied Fluid Mechanics
7th Edition
ISBN: 9780133414622
Author: UNTENER
Publisher: YUZU
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Chapter 2, Problem 2.3PP
State the mathematical definition for dynamic viscosity.
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CORRECT ANSWER ONLY WITH COMPLETE FBD. PREFERABLY HANDWRITTEN. I WILL UPVOTE
1. The beam shown carries the following loads:Total dead load, wDL = 36 kN/mConcentrated live load, PLL = 240 kNThe beam section is HSS16X12X3/8 with properties:Span, L = 6 mArea, A = 12,100 mm2Moment of inertia about x-axis, Ix = 292 x 106 mm4Fy = 345 MPa
1. Calculate the location of the live load, from the left support, for maximum moment to occur at the fixed support.Answer: 2.536 m2. Calculate the maximum moment. Answer: 439.128 kN-m
CORRECT ANSWER AND COMPLETE FBD ONLY. I PREFER HANDWRITTEN BUT ITS OKAY IF NOT. I WILL UPVOTE
2. The space truss shown is supported by ball-and-socket joints at A, B and C. Factored loads P1 and P2 areacting on joints D and E, respectively, towards the negative y-direction.
1. Calculate the stress of member CE, indicate tension or compression. Answer: 23.61 MPa Tension2. Calculate the stress of member AD, indicate tension or compression. Answer: 21.01 MPa Compression3. Calculate the stress of member CD, indicate tension or compression. Answer: 11.03 MPa Tension
CORRECT ANSWER AND COMPLETE FBD ONLY. I PREFER HANDWRITTEN BUT ITS OKAY IF NOT. I WILL UPVOTE
3. The frame has pin supports at A and E, subject to a wind load. Treat joint C to be an internal hinge.
Given:Dimensions, H1 = 3.0 m; H2 = 4.5 m; L = 10.0 mWind loads, wWL (AB) = 4.8 kN/m; wWL (BC) = 3.9 kN/m; wWL (CD) = 1.5 kN/m; wWL (DE) = 1.2 kN/mMembers are made of A36 steel Wide Flange Section with the following properties:Area, A = 64000 mm2Depth, d = 762 mmFlange width, bf = 371 mmThickness of web, tw = 32 mmThickness of flange, tf = 57.9 mmMoment of inertia about x-axis, Ix = 6080 x 106 mm4The wide flange is oriented so that the bending is about the x-axis1. Calculate the stress in member AB, due to the axial load it carries, indicate if tension or compression.Answer: 0.0476 MPa Tension2. Calculate the stress in member DE, due to the axial load it carries, indicate if tension or compression.Answer: 0.2351 MPa Compression3. Calculate the maximum bending stress at B. Answer: 4.282 MPa
Chapter 2 Solutions
Applied Fluid Mechanics
Ch. 2 - Define shear stress as it applies to a moving...Ch. 2 - Define velocity gradient.Ch. 2 - State the mathematical definition for dynamic...Ch. 2 - Which would have the greater dynamic viscosity, a...Ch. 2 - State the standard units for dynamic viscosity in...Ch. 2 - State the standard units for dynamic viscosity in...Ch. 2 - State the equivalent units for poise in terms of...Ch. 2 - Why are the units of poise and centipoise...Ch. 2 - State the mathematical definition for kinematic...Ch. 2 - State the standard units for kinematic viscosity...
Ch. 2 - State the standard units for kinematic viscosity...Ch. 2 - State the equivalent units for stoke in terms of...Ch. 2 - Why are the units of stoke and centistoke...Ch. 2 - Define a Newtonian fluid.Ch. 2 - Define a non-Newtonian fluid.Ch. 2 - Give five examples of Newtonian fluids.Ch. 2 - Give four examples of the types of fluids that are...Ch. 2 - Appendix D iS gives dynamic viscosity for a...Ch. 2 - Appendix D gives dynamic viscosity for a variety...Ch. 2 - Appendix D gives dynamic viscosity for a variety...Ch. 2 - Appendix D iS gives dynamic viscosity for a...Ch. 2 - Appendix D iS gives dynamic viscosity for a...Ch. 2 - Appendix D gives dynamic viscosity for a variety...Ch. 2 - Appendix D gives dynamic viscosity for a variety...Ch. 2 - Appendix D gives dynamic viscosity for a variety...Ch. 2 - Appendix D gives dynamic viscosity for a variety...Ch. 2 - Appendix D gives dynamic viscosity for a variety...Ch. 2 - Appendix D gives dynamic viscosity for a variety...Ch. 2 - Appendix D gives dynamic viscosity for a variety...Ch. 2 - Appendix D gives dynamic viscosity for a variety...Ch. 2 - Appendix D gives dynamic viscosity for a variety...Ch. 2 - Appendix D gives dynamic viscosity for a variety...Ch. 2 - Appendix D gives dynamic viscosity for a variety...Ch. 2 - Appendix D gives dynamic viscosity for a variety...Ch. 2 - Appendix D gives dynamic viscosity for a variety...Ch. 2 - Appendix D gives dynamic viscosity for a variety...Ch. 2 - If you want to choose a fluid that exhibits a...Ch. 2 - Which type of viscosity measurement method uses...Ch. 2 - In the rotating-drum viscometer, describe how the...Ch. 2 - In the rotating-drum viscometer, describe how the...Ch. 2 - What measurements must be taken to determine...Ch. 2 - Define the term terminal velocity as it applies to...Ch. 2 - What measurements must be taken to determine...Ch. 2 - Describe the basic features of the Saybolt...Ch. 2 - Are the results of the Saybolt viscometer tests...Ch. 2 - Does the Saybolt viscometer produce data related...Ch. 2 - Which type of viscometer is prescribed by SAE for...Ch. 2 - Describe the difference between an SAE 20 oil and...Ch. 2 - What grades of SAE oil are suitable for...Ch. 2 - What grades of SAE oil are suitable for...Ch. 2 - If you were asked to check the viscosity of an oil...Ch. 2 - If you were asked to check the viscosity of an oil...Ch. 2 - Prob. 2.53PPCh. 2 - The viscosity of a lubricating oil is given as 500...Ch. 2 - Using the data from Table 2.5. report the minimum,...Ch. 2 - Convert a dynamic viscosity measurement of 4500 cP...Ch. 2 - Convert a kinematic viscosity measurement of 5.6...Ch. 2 - The viscosity of an oil is given as 80 SUS at...Ch. 2 - Convert a viscosity measurement of 6.5x103 Pa.s...Ch. 2 - An oil container indicates that it has a viscosity...Ch. 2 - In a falling-ball viscometer, a steel ball 1.6 mm...Ch. 2 - A capillary tube viscometer similar to that shown...Ch. 2 - In a falling-ball viscometer, a steel ball with a...Ch. 2 - A capillary type viscometer similar to that shown...Ch. 2 - A fluid has a kinematic viscosity of 15.0 mm2/s at...Ch. 2 - A fluid has a kinematic viscosity of 55.3 mm2/s at...Ch. 2 - A fluid has a kinematic viscosity of 188 mm2/s at...Ch. 2 - A fluid has a kinematic viscosity of 244 mm2/s at...Ch. 2 - A fluid has a kinematic viscosity of 153mm2/s at...Ch. 2 - A fluid has a kinematic viscosity of 205mm2/s at...Ch. 2 - An oil is tested using a Saybolt viscometer and...Ch. 2 - An oil is tested using a Saybolt viscometer and...Ch. 2 - Prob. 2.73PPCh. 2 - Prob. 2.74PPCh. 2 - An oil is tested using a Saybolt viscometer and...Ch. 2 - Prob. 2.76PPCh. 2 - Convert all of the kinematic viscosity data in...Ch. 2 - Use a spreadsheet to display the values of...
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- 32 mm 32 mm b' c' C 32 mm 32 mm b PROBLEM 6.41 a The extruded beam shown has a uniform wall thickness of 3 mm. Knowing that the vertical shear in the beam is 9 kN, determine the shearing stress at each of the five points indicated.arrow_forwardIn a structural reliability problem, the resistance (capacity) R and load effect (demand) S random variables associated with a failure mode of the structure of interest are normally distributed and statistically independent with the following probability distribution parameters (or statistics) in consistent units: MR = 12, σR = 3 μs = 5, σs = 2 (a) Determine the exact probability of failure pF ·arrow_forwardThe resistance R and load effect S for a given failure mode are statistically independent random variables with marginal PDF's 1 fR (r) = 0≤r≤100 100' fs(s)=0.05e-0.05s (a) Determine the probability of failure by computing the probability content of the failure domain defined as {rarrow_forwardPlease solve this problem as soon as possible My ID# 016948724arrow_forwardThe gears shown in the figure have a diametral pitch of 2 teeth per inch and a 20° pressure angle. The pinion rotates at 1800 rev/min clockwise and transmits 200 hp through the idler pair to gear 5 on shaft c. What forces do gears 3 and 4 transmit to the idler shaft? TS I y 18T 32T This a 12 x 18T C 48T 5arrow_forwardQuestion 1. Draw 3 teeth for the following pinion and gear respectively. The teeth should be drawn near the pressure line so that the teeth from the pinion should mesh those of the gear. Drawing scale (1:1). Either a precise hand drawing or CAD drawing is acceptable. Draw all the trajectories of the involute lines and the circles. Specification: 18tooth pinion and 30tooth gear. Diameter pitch=P=6 teeth /inch. Pressure angle:20°, 1/P for addendum (a) and 1.25/P for dedendum (b). For fillet, c=b-a.arrow_forward5. The figure shows a gear train. There is no friction at the bearings except for the gear tooth forces. The material of the milled gears is steel having a Brinell hardness of 170. The input shaft speed (n2) is 800 rpm. The face width and the contact angle for all gears are 1 in and 20° respectively. In this gear set, the endurance limit (Se) is 15 kpsi and nd (design factor) is 2. (a) Find the revolution speed of gear 5. (b) Determine whether each gear satisfies the design factor of 2.0 for bending fatigue. (c) Determine whether each gear satisfies the design factor of 2.0 for surface fatigue (contact stress). (d) According to the computation results of the questions (b) and (c), explain the possible failure mechanisms for each gear. N4=28 800rpm N₁=43 N5=34 N₂=14 P(diameteral pitch)=8 for all gears Coupled to 2.5hp motorarrow_forward1. The rotating steel shaft is simply supported by bearings at points of B and C, and is driven by a spur gear at D, which has a 6-in pitch diameter. The force F from the drive gear acts at a pressure angle of 20°. The shaft transmits a torque to point A of TA =3000 lbĘ in. The shaft is machined from steel with Sy=60kpsi and Sut=80 kpsi. 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