Fluid Mechanics (2nd Edition)
2nd Edition
ISBN: 9780134649290
Author: Russell C. Hibbeler
Publisher: PEARSON
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Chapter 1, Problem 13P
To determine
The weight of carbon tetrachloride.
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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 1 Solutions
Fluid Mechanics (2nd Edition)
Ch. 1 - Prob. 1PCh. 1 - Evaluate each of the following to three...Ch. 1 - Evaluate each of the following to three...Ch. 1 - Convert the following temperatures: (a) 250 K to...Ch. 1 - The tank contains a liquid having a density of...Ch. 1 - If air within the tank is at an absolute pressure...Ch. 1 - The bottle tank has a volume of 0.35 m3 and...Ch. 1 - The bottle tank contains nitrogen having a...Ch. 1 - Prob. 9PCh. 1 - Dry air at 25°C has a density of 1.23 kg/m3. But...
Ch. 1 - The tanker carries 900(103) barrels of crude oil...Ch. 1 - Water in the swimming pool has a measured depth of...Ch. 1 - Determine the weight of carbon tetrachloride that...Ch. 1 - The tank contains air at a temperature of 18°C and...Ch. 1 - The tank contains 4 kg of air at an absolute...Ch. 1 - The 8-m-diameter spherical balloon is filled with...Ch. 1 - Gasoline is mixed with 8 ft3 of kerosene so that...Ch. 1 - Determine the change in the density of oxygen when...Ch. 1 - The container is filled with water at a...Ch. 1 - The rain cloud has an approximate volume of 6.50...Ch. 1 - A volume of 8 m3 of oxygen initially at 80 kPa of...Ch. 1 - Prob. 22PCh. 1 - Water at 20°C is subjected to a pressure increase...Ch. 1 - Prob. 24PCh. 1 - At a point deep in the ocean, the specific weight...Ch. 1 - A 2-kg mass of oxygen is held at a constant...Ch. 1 - The viscosity of SAE 10 W30 oil is μ = 0.100...Ch. 1 - If the kinematic viscosity of glycerin is ν =...Ch. 1 - An experimental test using human blood at T = 30°C...Ch. 1 - The plate is moving at 0.6 mm/s when the force...Ch. 1 - When the force P is applied to the plate, the...Ch. 1 - When the force P is applied to the plate, the...Ch. 1 - The Newtonian fluid is confined between a plate...Ch. 1 - The Newtonian fluid is confined between the plate...Ch. 1 - If a force of P = 2 N causes the 30-mm-diameter...Ch. 1 - A plastic strip having a width of 0.2 m and a mass...Ch. 1 - A plastic strip having a width of 0.2 m and a mass...Ch. 1 - The tank containing gasoline has a long crack on...Ch. 1 - The tank containing gasoline has a long crack on...Ch. 1 - Determine the constants B and C in Andrade's...Ch. 1 - The viscosity of water can be determined using the...Ch. 1 - Determine the constants B and C in the Sutherland...Ch. 1 - The constants B=1.357(10−6) N·s/(m2·K1/2) and C =...Ch. 1 - The read-write head for a hand-held music player...Ch. 1 - Determine the torque T required to rotate the disk...Ch. 1 - Prob. 46PCh. 1 - Prob. 47PCh. 1 - The tube rests on a 1.5-mm thin film of oil having...Ch. 1 - The tube rests on a 1.5-mm thin film of oil having...Ch. 1 - Prob. 50PCh. 1 - Prob. 51PCh. 1 - How hot can you make a cup of tea if you climb to...Ch. 1 - A boat propeller is rotating in water that has a...Ch. 1 - As water at 20°C flows through the transition, its...Ch. 1 - Water at 70°F is flowing through a garden hose. If...Ch. 1 - Prob. 56PCh. 1 - For water falling out of the tube, there is a...Ch. 1 - Steel particles are ejected from a grinder and...Ch. 1 - Prob. 59PCh. 1 - Prob. 60PCh. 1 - Prob. 61PCh. 1 - Prob. 62PCh. 1 - Because cohesion resists any increase in the...Ch. 1 - The glass tube has an inner diameter d and is...Ch. 1 - The glass tube has an inner diameter of d = 2 mm...Ch. 1 - Prob. 66PCh. 1 - The triangular glass rod has a weight of 0.3 N and...Ch. 1 - The triangular glass rod has a weight of 0.3 N and...Ch. 1 - Water poured from this pitcher tends to cling to...Ch. 1 - If a drop of oil is placed on a water surface,...Ch. 1 - The shape of this municipal water tank has the...
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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. (1) Draw a shear force diagram and a bending moment diagram by F. According to your analysis, where is the point of interest to evaluate the safety factor among A, B, C, and D? Describe the reason. (Hint: To find F, the torque Tд is generated by the tangential force of F (i.e. Ftangential-Fcos20°) When n=2.5, K=1.8, and K₁ =1.3, determine the diameter of the shaft based on (2) static analysis using DE theory (note that fatigue stress concentration factors need to be used for this question because the loading condition is fatigue) and (3) a fatigue analysis using modified Goodman. Note) A standard diameter is not required for the questions. 10 in Darrow_forward3 N2=28 P(diametral pitch)=8 for all gears Coupled to 25 hp motor N3=34 Full depth spur gears with pressure angle=20° N₂=2000 rpm (1) Compute the circular pitch, the center-to-center distance, and base circle radii. (2) Draw the free body diagram of gear 3 and show all the forces and the torque. (3) In mounting gears, the center-to-center distance was reduced by 0.1 inch. Calculate the new values of center-to-center distance, pressure angle, base circle radii, and pitch circle diameters. (4)What is the new tangential and radial forces for gear 3? (5) Under the new center to center distance, is the contact ratio (mc) increasing or decreasing?arrow_forward2. A flat belt drive consists of two 4-ft diameter cast-iron pulleys spaced 16 ft apart. A power of 60 hp is transmitted by a pulley whose speed is 380 rev/min. Use a service factor (Ks) pf 1.1 and a design factor 1.0. The width of the polyamide A-3 belt is 6 in. Use CD=1. Answer the following questions. (1) What is the total length of the belt according to the given geometry? (2) Find the centrifugal force (Fc) applied to the belt. (3) What is the transmitted torque through the pulley system given 60hp? (4) Using the allowable tension, find the force (F₁) on the tight side. What is the tension at the loose side (F2) and the initial tension (F.)? (5) Using the forces, estimate the developed friction coefficient (f) (6) Based on the forces and the given rotational speed, rate the pulley set. In other words, what is the horse power that can be transmitted by the pulley system? (7) To reduce the applied tension on the tight side, the friction coefficient is increased to 0.75. Find out the…arrow_forwardThe tooth numbers for the gear train illustrated are N₂ = 24, N3 = 18, №4 = 30, №6 = 36, and N₁ = 54. Gear 7 is fixed. If shaft b is turned through 5 revolutions, how many turns will shaft a make? a 5 [6] barrow_forwardCE-112 please solve this problem step by step and give me the correct answerarrow_forwardarrow_back_iosSEE MORE QUESTIONSarrow_forward_ios
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