Mechanics of Materials (10th Edition)
10th Edition
ISBN: 9780134319650
Author: Russell C. Hibbeler
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Videos
Textbook Question
Chapter 5.4, Problem 5.51P
Determine the maximum allowable torque T. Also, find the corresponding angle of twist of disk A relative to disk C.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
The pitch circle diameter of the smaller of the two spur wheels which mesh externally and haveinvolute teeth is 100 mm. The number of teeth are 16 and 32. The pressure angle is 20° and theaddendum is 0.32 of the circular pitch. Find the length of the path of contact of the pair of teeth.
In the image on the right, there is a red gear G1 on the
left with a radius of r1 = 2.81cm. Gear G1 is locked
to the green gear G2 with a radius of r2 = 0.734cm.
Gear G2 then shares the same axle as the blue circular
saw G3, which has a radius of r3
known to make a full rotation every T = 0.836s. Using
at least 6 significant digits in your calculations,
compute the following:
V3!
12.8cm. Gear G1 is
W1
a) The angular speed wi of gear G1. Remember
that angular speed is measured in radians per
T3
r2
unit time.
G2
b) The rim speed vi of gear G1. Since gears G1
and G2 are locked together, the rim speed of G2
is also v1.
G1
G3
c) The angular speed w2 of gear G2. Since gear
G2 and saw G3 share the same axle, the angular
speed of G3 is also w2.
d) The rim speed v3 of saw G3.
The pinion (gear 2 on shaft a) rotates at 695 rev/min
clockwise and transmits 1497 W through the idler
pair (gears 3 and 4 on shaft b) to the output gear (gear
5 on shaft c). Gears 2 and 3 have a module of 3 mm,
and gears 4 and 5 have a module of 2 mm. Pressure
angles are all 20 degrees.
Solve for the magnitude of the force that shaft b must
apply to gears 3 and 4 to maintain static equilibrium in
the figure shown here.
Co
18T-
327
X
18T
5
-48T
Chapter 5 Solutions
Mechanics of Materials (10th Edition)
Ch. 5.3 - Determine the internal torque at each section and...Ch. 5.3 - Determine the. internal torque at each section and...Ch. 5.3 - The solid and hollow shafts are each subjected to...Ch. 5.3 - The motor delivers 10 hp to the shaft. If it...Ch. 5.3 - The solid circular shaft is subjected to an...Ch. 5.3 - The hollow circular shaft is subjected to an...Ch. 5.3 - The shaft is hollow from A to B and solid from B...Ch. 5.3 - Determine the maximum shear stress in the...Ch. 5.3 - Determine the maximum shear stress in the shaft at...Ch. 5.3 - Determine the shear stress a: point A on the...
Ch. 5.3 - The solid 50-mm-diameter shaft is subjected to the...Ch. 5.3 - The gear motor can develop 3 hp when it turns at...Ch. 5.3 - The solid shaft of radius r is subjected to a...Ch. 5.3 - The solid shaft of radius r is subjected to a...Ch. 5.3 - A shaft is made of an aluminum alloy having an...Ch. 5.3 - The copper pipe has an outer diameter of 40 mm and...Ch. 5.3 - The copper pipe has an outer diameter of 2.50 in....Ch. 5.3 - The solid aluminum shaft has a diameter of 50 mm...Ch. 5.3 - The solid aluminum shaft has a diameter of 50 mm....Ch. 5.3 - The solid 30-mm-diameter shaft is used to transmit...Ch. 5.3 - The solid shaft is fixed to the support at C and...Ch. 5.3 - The link acts as part of the elevator control for...Ch. 5.3 - The assembly consists of two sections of...Ch. 5.3 - The shaft has an outer diameter of 100 mm and an...Ch. 5.3 - The shaft has an outer diameter of 100 mm and an...Ch. 5.3 - A steel tube having an outer diameter of 2.5 in....Ch. 5.3 - If the gears are subjected to the torques shown,...Ch. 5.3 - If the gears are subjected to the torques shown,...Ch. 5.3 - The rod has a diameter of 1 in. and a weight of 10...Ch. 5.3 - The rod has a diameter of 1 in. and a weight of 15...Ch. 5.3 - The copper pipe has an outer diameter of 3 in. and...Ch. 5.3 - The copper pipe has an outer diameter of 3 in. and...Ch. 5.3 - The 60-mm-diameter solid shaft is subjected to the...Ch. 5.3 - The 60-mm-diameter solid shaft is subjected to the...Ch. 5.3 - The solid shaft is subjected to the distributed...Ch. 5.3 - The 60-mm-diameter solid shaft is subjected to the...Ch. 5.3 - The solid shaft is subjected to the distributed...Ch. 5.3 - The pipe has an outer radius r0 and inner radius...Ch. 5.3 - The drive shaft AB of an automobile is made of a...Ch. 5.3 - The drive shaft AB of an automobile is to be...Ch. 5.3 - Prob. 5.29PCh. 5.3 - The motor delivers 50 hp while turning at a...Ch. 5.3 - The solid steel shaft AC has a diameter of 25 mm...Ch. 5.3 - The pump operates using the motor that has a power...Ch. 5.3 - The gear motor can develop 110 hp when it turns at...Ch. 5.3 - The gear motor can develop 110 hp when it turns at...Ch. 5.3 - The gear motor can develop 14 hp when it turns at...Ch. 5.3 - The gear motor can develop 2 hp when it turns at...Ch. 5.3 - The 6-hp reducer motor can turn at 1200 rev/min....Ch. 5.3 - The 6-hp reducer motor can turn at 1200 rev/min....Ch. 5.3 - Prob. 5.39PCh. 5.3 - Prob. 5.40PCh. 5.3 - The A-36 steel tubular shaft is 2 m long and has...Ch. 5.3 - Prob. 5.42PCh. 5.3 - The solid shaft has a linear taper from rA at one...Ch. 5.3 - The 1-in.-diameter bent rod is subjected to the...Ch. 5.3 - The 1-in.-diameter bent rod is subjected to the...Ch. 5.3 - A motor delivers 500 hp to the shaft, which is...Ch. 5.4 - The 60 mm-diameter steel shaft is subjected to the...Ch. 5.4 - Prob. 5.10FPCh. 5.4 - The hollow 6061-T6 aluminum shaft has an outer and...Ch. 5.4 - A series of gears are mounted on the...Ch. 5.4 - The 80-mm-diameter shaft is made of steel. If it...Ch. 5.4 - The 80-mm-diameter shaft is made of steel. If it...Ch. 5.4 - The propellers of a ship are connected to an A-36...Ch. 5.4 - Show that the maximum shear strain in the shaft is...Ch. 5.4 - Determine the angle of twist of end B with respect...Ch. 5.4 - Determine the absolute maximum shear stress in the...Ch. 5.4 - Determine the maximum allowable torque T. Also,...Ch. 5.4 - If the allowable shear stress is allow = 80 MPa,...Ch. 5.4 - Determine the angle of twist of the end A.Ch. 5.4 - If gear B supplies 15 kW of power, while gears A,...Ch. 5.4 - If the shaft is made of steel with the allowable...Ch. 5.4 - Prob. 5.56PCh. 5.4 - If the rotation of the 100-mm-diameter A-36 steel...Ch. 5.4 - If the rotation of the 100-mm-diameter A-36 steel...Ch. 5.4 - It has a diameter of 1 in. and is supported by...Ch. 5.4 - Prob. 5.60PCh. 5.4 - Determine the absolute maximum shear stress in the...Ch. 5.4 - If the rotation of the 100-mm-diameter A992 steel...Ch. 5.4 - If the mixer is connected to an A-36 steel tubular...Ch. 5.4 - If the mixer is connected to an A-36 steel tubular...Ch. 5.4 - Also, calculate the absolute maximum shear stress...Ch. 5.4 - When it is rotating at 80 rad/s. it transmits 32...Ch. 5.4 - It is required to transmit 35 kW of power from the...Ch. 5.4 - Determine the angle of twist at end A. The shear...Ch. 5.4 - If a torque of T = 50 N m is applied to the bolt...Ch. 5.4 - If a torque of T= 50N m is applied to the bolt...Ch. 5.4 - If the motor delivers 4 MW of power to the shaft...Ch. 5.4 - Determine the angle of twist at the free end A of...Ch. 5.4 - Prob. 5.73PCh. 5.4 - Prob. 5.74PCh. 5.4 - Determine the angle of twist at the free end A of...Ch. 5.4 - If the shaft is subjected to a torque T at its...Ch. 5.5 - Gst = 75 GPa.Ch. 5.5 - The A992 steel shaft has a diameter of 60 mm and...Ch. 5.5 - If the shaft is fixed at its ends A and B and...Ch. 5.5 - and a thickness of 0.125 in. The coupling on it at...Ch. 5.5 - The coupling on it at C is being tightened using...Ch. 5.5 - The shaft is made of L2 tool steel, has a diameter...Ch. 5.5 - The shaft is made of L2 tool steel, has a diameter...Ch. 5.5 - If the allowable shear stresses for the magnesium...Ch. 5.5 - If a torque of T = 5 kNm is applied to end A,...Ch. 5.5 - Each has a diameter of 25 mm and they are...Ch. 5.5 - Each has a diameter of 25 mm and they are...Ch. 5.5 - It is fixed at its ends and subjected to a torque...Ch. 5.5 - 5–89. Determine the absolute maximum shear stress...Ch. 5.5 - Each has a diameter of 1.5 in. and they are...Ch. 5.5 - The shaft is subjected to a torque of 800 lbft....Ch. 5.5 - The shaft is made of 2014-T6 aluminum alloy and is...Ch. 5.5 - The tapered shaft is confined by the fixed...Ch. 5.5 - Determine the reactions at the fixed supports A...Ch. 5.7 - If the yield stress for brass is Y = 205 MPa,...Ch. 5.7 - By what percentage is the shaft of circular cross...Ch. 5.7 - Prob. 5.97PCh. 5.7 - If it is subjected to the torsional loading,...Ch. 5.7 - Solve Prob.5-98 for the maximum shear stress...Ch. 5.7 - determine the maximum shear stress in the shaft....Ch. 5.7 - If the shaft has an equilateral triangle cross...Ch. 5.7 - by 2 in. square cross section, and it is subjected...Ch. 5.7 - is applied to the tube If the wall thickness is...Ch. 5.7 - If it is 2 m long, determine the maximum shear...Ch. 5.7 - Also, find the angle of twist of end B. The shaft...Ch. 5.7 - Also, find the corresponding angle of twist at end...Ch. 5.7 - If the solid shaft is made from red brass C83400...Ch. 5.7 - If the solid shaft is made from red brass C83400...Ch. 5.7 - The tube is 0.1 in. thick.Ch. 5.7 - Prob. 5.110PCh. 5.7 - Determine the average shear stress in the tube if...Ch. 5.7 - By what percentage is the torsional strength...Ch. 5.7 - Prob. 5.113PCh. 5.7 - Prob. 5.114PCh. 5.7 - If the allowable shear stress is allow = 8 ksi,...Ch. 5.7 - Prob. 5.116PCh. 5.7 - If the allowable shear stress is allow = 80 MPa,...Ch. 5.7 - If the applied torque is T = 50 Nm, determine the...Ch. 5.7 - If it is subjected to a torque of T = 40 Nm....Ch. 5.10 - If the transition between the cross sections has a...Ch. 5.10 - Prob. 5.121PCh. 5.10 - If the radius of the fillet weld connecting the...Ch. 5.10 - Prob. 5.123PCh. 5.10 - Determine the maximum shear stress in the shaft. A...Ch. 5.10 - Prob. 5.125PCh. 5.10 - Determine the radius of the elastic core produced...Ch. 5.10 - Assume that the material becomes fully plastic.Ch. 5.10 - diameter is subjected to a torque of 100 in.kip....Ch. 5.10 - Determine the torque T needed to form an elastic...Ch. 5.10 - Determine the torque applied to the shaft.Ch. 5.10 - Prob. 5.131PCh. 5.10 - Determine the ratio of the plastic torque Tp to...Ch. 5.10 - Determine the applied torque T, which subjects the...Ch. 5.10 - Determine the torque needed to just cause the...Ch. 5.10 - Determine the radius of its elastic core if it is...Ch. 5.10 - Plot the shear-stress distribution acting along a...Ch. 5.10 - If the material obeys a shear stress-strain...Ch. 5.10 - It is made of an elastic perfectly plastic...Ch. 5.10 - Prob. 5.139PCh. 5.10 - Prob. 5.140PCh. 5.10 - is made from an elastic perfectly plastic material...Ch. 5.10 - Prob. 5.142PCh. 5.10 - If the materials have the diagrams shown,...Ch. 5.10 - Determine the torque required to cause a maximum...Ch. 5 - The shaft is made of A992 steel and has an...Ch. 5 - The shaft is made of A992 steel and has an...Ch. 5 - Determine the shear stress at the mean radius p =...Ch. 5 - If the thickness of its 2014-T6-aluminum skin is...Ch. 5 - Determine which shaft geometry will resist the...Ch. 5 - If couple forces P = 3 kip are applied to the...Ch. 5 - If the allowable shear stress for the aluminum is...Ch. 5 - Determine the angle of twist of its end A if it is...Ch. 5 - This motion is caused by the unequal belt tensions...
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.Similar questions
- The pinion (gear 2 on shaft a) rotates at 635 rev/min clockwise and transmits 1305 W through the idler pair (gears 3 and 4 on shaft b) to the output gear (gear 5 on shaft c). Gears 2 and 3 have a module of 2 mm, and gears 4 and 5 have a module of 3 mm. Pressure angles are all 20 degrees. Solve for the magnitude of the force that shaft b must apply to gears 3 and 4 to maintain static equilibrium in the figure shown here. The figure is not to scale. 187 327 487arrow_forwardThe pinion (gear 2 on shaft a) rotates at 635 rev/min clockwise and transmits 1305 W through the idler pair (gears 3 and 4 on shaft b) to the output gear (gear 5 on shaft c). Gears 2 and 3 have a module of 2 mm, and gears 4 and 5 have a module of 3 mm. Pressure angles are all 20 degrees. Solve for the magnitude of the force that shaft b must apply to gears 3 and 4 to maintain static equilibrium in the figure shown here. The figure is not to scale. Please give your answer in units of newtons. geard 615 verimin m₂ = M₁ = 2mm 187 327 187 487 MG M₁ = ₂ = 3mm 0=20° I solved it and дог 692.60 Х សុំ But fr is not correctarrow_forwarddetermine the number of revolutions done by Disk E at the same timearrow_forward
- A torque T = 0.30 N-m is applied to a bevel gear B. Bevel gear D meshes with gear B and drives pump A. Gear B has a radius of gyration of 150 mm and a weight of 50 N, whereas gear D and the im- peller of pump A have a combined radius of gy- ration of 50 mm and a weight of 100 N. Find how many revolutions of gear B are needed to get the pump up to 200 rpm from rest. What is the power output of the pump at this speed if it is 90% efficient.arrow_forwardy A B 3 in. D C 2 in. -2 in. 1.5 in. E.arrow_forwardFrom the given figure shown, the cylinder has equal diameters. Solve the reaction at A. Solve the reaction at D Solve the reaction at Carrow_forward
- The crossbar wrench is used to remove a lug nut from the automobile wheel. The mechanic applies a couple to the wrench such that his hands are a constant distance apart. Is it necessary that a b in order to produce the most effective turning of the nut? Explain. Also, what is the effect of changing the shaft dimension c in this regard? The forces act in the vertical plane. b. -F Farrow_forwardPlease draw the figure. Thank you so much.An engine flywheel and a clutch plate are both connected to a transmission shaft. Let the moment of inertia of the flywheel be I1 and its angular velocity ω1, and let the moment of inertia of the clutch plate be I2 and its angular velocity is ω2. The two discs have then been combined by forces which are applied at their axes of rotation so as not to cause any torque. The discs then reached a common final angular velocity after rotational collision. Find the expression for the final angular velocity.arrow_forwardThe two 1-kg gears A and B are attached to the ends of al 3-kg slender bar. The gears roll within the fixed ring gear C, which lies in the horizontal plane. (Figure 1) Figure 150 mm 400 mm- 150 mm Part A If a 10-N m torque is applied to the center of the bar as shown, determine the number of revolutions the bar must rotate starting from rest in order for it to have an angular velocity of WAB = 22 rad/s. For the calculation, assume the gears can be approximated by thin disks. Express your answer using three significant figures. ►View Available Hint(s) the number of revolutions = Submit Provide Feedback VAE vec ? Next >arrow_forward
- Find the greatest and smallest values of the velocity ratio of two shafts joined with a universal coupling when the axes are at 60o to each other. Produce a graph of velocity ratio against angle for f to proof the calculated results.arrow_forwardA 1" diameter line shaft, which is supported by frictionless pulleys at the ends, carries 2 pulleys. The 10" diameter driver pulley is driven in a counter-clockwise direction, and its belt tensions are 25 lbs and 56 lbs. The 2" diameter driven pulley has one of its belt tensions measured at 30 lbs. Calculate the missing belt tension.arrow_forwardDetermine the moment or torque being applied at vertical axis of the bolt at A when P-16 ib. 10 in. At 0.75 in.arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Elements Of ElectromagneticsMechanical EngineeringISBN:9780190698614Author:Sadiku, Matthew N. O.Publisher:Oxford University Press
Mechanics of Materials (10th Edition)Mechanical EngineeringISBN:9780134319650Author:Russell C. HibbelerPublisher:PEARSON
Thermodynamics: An Engineering ApproachMechanical EngineeringISBN:9781259822674Author:Yunus A. Cengel Dr., Michael A. BolesPublisher:McGraw-Hill Education
Control Systems EngineeringMechanical EngineeringISBN:9781118170519Author:Norman S. NisePublisher:WILEY
Mechanics of Materials (MindTap Course List)Mechanical EngineeringISBN:9781337093347Author:Barry J. Goodno, James M. GerePublisher:Cengage Learning
Engineering Mechanics: StaticsMechanical EngineeringISBN:9781118807330Author:James L. Meriam, L. G. Kraige, J. N. BoltonPublisher:WILEY
Elements Of Electromagnetics
Mechanical Engineering
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Oxford University Press
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:9780134319650
Author:Russell C. Hibbeler
Publisher:PEARSON
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:9781259822674
Author:Yunus A. Cengel Dr., Michael A. Boles
Publisher:McGraw-Hill Education
Control Systems Engineering
Mechanical Engineering
ISBN:9781118170519
Author:Norman S. Nise
Publisher:WILEY
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Cengage Learning
Engineering Mechanics: Statics
Mechanical Engineering
ISBN:9781118807330
Author:James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:WILEY
Understanding Failure Theories (Tresca, von Mises etc...); Author: The Efficient Engineer;https://www.youtube.com/watch?v=xkbQnBAOFEg;License: Standard youtube license