Mechanics of Materials
9th Edition
ISBN: 9780133254426
Author: Russell C. Hibbeler
Publisher: Prentice Hall
expand_more
expand_more
format_list_bulleted
Concept explainers
Textbook Question
Chapter 5.4, Problem 5.59P
It has a diameter of 1 in. and is supported by bearings at A and D, which allow free rotation. Determine the angle of twist of B with respect to D.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
ә
レ
Figure below shows a link mechanism in which the link OA rotates uniformly in an
anticlockwise direction at 10 rad/s. the lengths of the various links are OA=75 mm, OB-150 mm,
BC=150 mm, CD-300 mm. Determine for the position shown, the sliding velocity of D.
A
A
B
#
Space Diagram
o NTS (Not-to-Scale)
C
10
=--20125
735)
750 x2.01
اه
2
レ
Tanism in which the link OA mm. O
anticlockwise direction at 10 rad/s, the lengths of the various links are OA=75mm, OB=150mm,
BC=150mm,CD=300mm. Determine for the position shown, the sliding velocity of D.
A
A
Space Diagram
o NT$ (Not-to-Scale)
B
#
C
か
750 x2.01
165
79622
Ashaft fitted with a flywheel rotates at 300 rpm. and drives a machine. The torque
required to drive the machine varies in a cyclic manner over a period of 2 revolutions. The torque drops
from 20,000 Nm to 10,000 Nm uniformly during 90 degrees and remains constant for the following 180
degrees. It then rises uniformly to 35,000 Nm during the next 225 degrees and after that it drops to
20,000 in a uniform manner for 225 degrees, the cycle being repeated thereafter.
Determine the power required to drive the machine and percentage fluctuation in speed, if the driving
torque applied to the shaft is constant and the mass of the flywheel is 12 tonnes with radius of gyration of
500 mm. What is the maximum angular acceleration of the flywheel.
35,000
TNM
20,000
10,000
0
90
270
495
Crank angle 8 degrees
720
Chapter 5 Solutions
Mechanics of Materials
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 - 5-3. The solid shaft is fixed to the support at C...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 - Prob. 5.6PCh. 5.3 - Prob. 5.7PCh. 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 - Prob. 5.10PCh. 5.3 - The assembly consists of two sections of...Ch. 5.3 - Prob. 5.12PCh. 5.3 - 5-13. If The tubular shaft is made from material...Ch. 5.3 - A steel tube having an outer diameter of 2.5 in....Ch. 5.3 - Prob. 5.15PCh. 5.3 - Prob. 5.16PCh. 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 - 5-19. The shaft consists of solid 80-mm-diameter...Ch. 5.3 - Prob. 5.20PCh. 5.3 - 5-21. If the 40-mm-diameter rod is subjected to a...Ch. 5.3 - Prob. 5.22PCh. 5.3 - Prob. 5.23PCh. 5.3 - Prob. 5.24PCh. 5.3 - Prob. 5.25PCh. 5.3 - Prob. 5.26PCh. 5.3 - Prob. 5.27PCh. 5.3 - Prob. 5.28PCh. 5.3 - Prob. 5.29PCh. 5.3 - Prob. 5.30PCh. 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 - Prob. 5.33PCh. 5.3 - Prob. 5.34PCh. 5.3 - Prob. 5.35PCh. 5.3 - Prob. 5.36PCh. 5.3 - Prob. 5.37PCh. 5.3 - Prob. 5.38PCh. 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 - *5-44. The rod has a diameter of 0.5 in. and...Ch. 5.3 - 5-45. Solve Prob. 5-44 for the maximum torsional...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 - 5-49. The A-36 steel axle is made from tubes AB...Ch. 5.4 - Prob. 5.50PCh. 5.4 - Determine the maximum allowable torque T. Also,...Ch. 5.4 - If the allowable shear stress is allow = 80 MPa,...Ch. 5.4 - Prob. 5.53PCh. 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 - *5-56. The A-36 steel axle is made from tubes AB...Ch. 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 - Prob. 5.61PCh. 5.4 - Prob. 5.62PCh. 5.4 - Prob. 5.63PCh. 5.4 - Prob. 5.64PCh. 5.4 - Prob. 5.65PCh. 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 - Prob. 5.68PCh. 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 - Prob. 5.72PCh. 5.4 - If the shaft is subjected to a torque T at its...Ch. 5.4 - Prob. 5.74PCh. 5.4 - Prob. 5.75PCh. 5.4 - *5-76. A cylindrical spring consists of a rubber...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 - Prob. 5.80PCh. 5.5 - Prob. 5.81PCh. 5.5 - 5-82. The shaft is made from a solid steel section...Ch. 5.5 - 5-83. The motor A develops a torque at gear B of...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 - The shaft is subjected to a torque of 800 lbft....Ch. 5.5 - Prob. 5.91PCh. 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 - 5-95. The aluminum rod has a square cross section...Ch. 5.7 - Prob. 5.96PCh. 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 - 5-102. The aluminum strut is fixed between the two...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 - 5-110. For a given maximum average shear stress,...Ch. 5.7 - 5-111. A torque T is applied to two tubes having...Ch. 5.7 - By what percentage is the torsional strength...Ch. 5.7 - 5-113. Determine the constant thickness of the...Ch. 5.7 - 5-114. Determine the torque T that can be applied...Ch. 5.7 - If the allowable shear stress is allow = 8 ksi,...Ch. 5.7 - *5-116. The tube is made of plastic, is 5 mm...Ch. 5.7 - 5–117. The mean dimensions of the cross section of...Ch. 5.7 - 5–118. The mean dimensions of the cross section of...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 - 5–121. The step shaft is to be designed to rotate...Ch. 5.10 - Prob. 5.122PCh. 5.10 - 5–123. The transition at the cross sections of the...Ch. 5.10 - *5–124. The steel used for the step shaft has an...Ch. 5.10 - 5–125. The step shaft is subjected to a torque of...Ch. 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 - 5–131. An 80-mm-diameter solid circular shaft is...Ch. 5.10 - Determine the ratio of the plastic torque Tp to...Ch. 5.10 - 5–133. If the step shaft is elastic-plastic as...Ch. 5.10 - 5–134. The solid shaft is made from an...Ch. 5.10 - 5–135. A 1.5-in.-diameter shaft is made from an...Ch. 5.10 - *5–136. The tubular shaft is made of a...Ch. 5.10 - 5–137. The shaft is made from a strain-hardening...Ch. 5.10 - 5–138. The tube is made of elastic-perfectly...Ch. 5.10 - Determine the torque required to cause a maximum...Ch. 5.10 - *5–140. The 2-m-long tube is made of an...Ch. 5.10 - is made from an elastic perfectly plastic material...Ch. 5.10 - 5–142. The 2-m-long lube is made from an...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
- Figure below shows a link mechanism in which the link OA rotates uniformly in an anticlockwise direction at 10 rad/s. the lengths of the various links are OA=75 mm, OB-150 mm, BC=150 mm, CD-300 mm. Determine for the position shown, the sliding velocity of D. A 45 B Space Diagram o NTS (Not-to-Scale) C Darrow_forwardmotion is as follows; 1- Dwell 45°. Plot the displacement diagram for a cam with flat follower of width 14 mm. The required 2- Rising 60 mm in 90° with Simple Harmonic Motion. 3- Dwell 90°. 4- Falling 60 mm for 90° with Simple Harmonic Motion. 5- Dwell 45°. Then design the cam profile to give the above displacement diagram if the minimum circle diameter of the cam is 50 mm.arrow_forwardAn ideal gas, occupying a volume of 0.02 m3 , has a temperature of 25 0C and is at 1.2 bar. The gas is compressed reversibly and adiabatically to a final pressure of 8 bar. Assuming the gas has an adiabatic index of γ = 1.4, calculate (a) the final temperature, (b) the final volume, (c) the work performed during the compression and (d) the heat transferred.arrow_forward
- attached is a past paper question in which we werent given the solution. a solution with clear steps and justification would be massively appreciated thankyou.arrow_forwardin this scenario, when it comes to matrix iterations it states this system is assumed out of phase. why is this?arrow_forwardQ1. A curved beam of a circular cross section of diameter "d" is fixed at one end and subjected to a concentrated load P at the free end (Fig. 1). Calculate stresses at points A and C. Given: P = 800 N, d = 30 mm, a 25 mm, and b = 15 mm. Fig.1 P b B (10 Marks)arrow_forward
- You are working as an engineer in a bearing systems design company. The flow of lubricant inside a hydrodynamic bearing (p = 0.001 kg m-1 s-1) can be approximated as a parallel, steady, two-dimensional, incompressible flow between two parallel plates. The top plate, representing the moving part of the bearing, travels at a constant speed, U, while the bottom plate remains stationary (Figure Q1). The plates are separated by a distance of 2h = 1 cm and are W = 20 cm wide. Their length is L = 10 cm. By applying the above approximations to the Navier-Stokes equations and assuming that end effects can be neglected, the horizontal velocity profile can be shown to be y = +h I 2h = 1 cm x1 y = -h u(y) 1 dP 2μ dx -y² + Ay + B moving plate stationary plate U 2 I2 L = 10 cm Figure Q1: Flow in a hydrodynamic bearing. The plates extend a width, W = 20 cm, into the page.arrow_forwardQuestion 1 You are working as an engineer in a bearing systems design company. The flow of lubricant inside a hydrodynamic bearing (µ = 0.001 kg m¯¹ s¯¹) can be approximated as a parallel, steady, two-dimensional, incompressible flow between two parallel plates. The top plate, representing the moving part of the bearing, travels at a constant speed, U, while the bottom plate remains stationary (Figure Q1). The plates are separated by a distance of 2h = 1 cm and are W = 20 cm wide. Their length is L = 10 cm. By applying the above approximations to the Navier-Stokes equations and assuming that end effects can be neglected, the horizontal velocity profile can be shown to be 1 dP u(y) = 2μ dx -y² + Ay + B y= +h Ꮖ 2h=1 cm 1 x1 y = −h moving plate stationary plate 2 X2 L = 10 cm Figure Q1: Flow in a hydrodynamic bearing. The plates extend a width, W = 20 cm, into the page. (a) By considering the appropriate boundary conditions, show that the constants take the following forms: U U 1 dP A =…arrow_forwardQuestion 2 You are an engineer working in the propulsion team for a supersonic civil transport aircraft driven by a turbojet engine, where you have oversight of the design for the engine intake and the exhaust nozzle, indicated in Figure Q2a. The turbojet engine can operate when provided with air flow in the Mach number range, 0.60 to 0.80. You are asked to analyse a condition where the aircraft is flying at 472 m/s at an altitude of 14,000 m. For all parts of the question, you can assume that the flow path of air through the engine has a circular cross section. (a) ← intake normal shock 472 m/s A B (b) 50 m/s H 472 m/s B engine altitude: 14,000 m exhaust nozzle E F exit to atmosphere diameter: DE = 0.30 m E F diameter: DF = 0.66 m Figure Q2: Propulsion system for a supersonic aircraft. a) When the aircraft is at an altitude of 14,000 m, use the International Standard Atmosphere in the Module Data Book to state the local air pressure and tempera- ture. Thus show that the aircraft speed…arrow_forward
- يكا - put 96** I need a detailed drawing with explanation or in wake, and the top edge of im below the free surface of the water. Determine the hydrothed if hydrostatic on the Plot the displacement diagram for a cam with roller follower of diameter 10 mm. The required motion is as follows; 1- Rising 60 mm in 135° with uniform acceleration and retardation motion. 2- Dwell 90° 3- Falling 60 mm for 135° with Uniform acceleration-retardation motion. Then design the cam profile to give the above displacement diagram if the minimum circle diameter of the cam is 50 mm. =--20125 7357 750 X 2.01arrow_forwardYou are working as an engineer in a bearing systems design company. The flow of lubricant inside a hydrodynamic bearing (µ = 0.001 kg m¯¹ s¯¹) can be approximated as a parallel, steady, two-dimensional, incompressible flow between two parallel plates. The top plate, representing the moving part of the bearing, travels at a constant speed, U, while the bottom plate remains stationary (Figure Q1). The plates are separated by a distance of 2h = 1 cm and are W = 20 cm wide. Their length is L = 10 cm. By applying the above approximations to the Navier-Stokes equations and assuming that end effects can be neglected, the horizontal velocity profile can be shown to be U y = +h У 2h = 1 cm 1 x1 y=-h u(y) = 1 dP 2μ dx -y² + Ay + B moving plate - U stationary plate 2 I2 L = 10 cm Figure Q1: Flow in a hydrodynamic bearing. The plates extend a width, W = 20 cm, into the page. (a) By considering the appropriate boundary conditions, show that the constants take the following forms: A = U 2h U 1 dP…arrow_forwardQuestion 2 You are an engineer working in the propulsion team for a supersonic civil transport aircraft driven by a turbojet engine, where you have oversight of the design for the engine intake and the exhaust nozzle, indicated in Figure Q2a. The turbojet engine can operate when provided with air flow in the Mach number range, 0.60 to 0.80. You are asked to analyse a condition where the aircraft is flying at 472 m/s at an altitude of 14,000 m. For all parts of the question, you can assume that the flow path of air through the engine has a circular cross section. (a) normal shock 472 m/s A B (b) intake engine altitude: 14,000 m D exhaust nozzle→ exit to atmosphere 472 m/s 50 m/s B diameter: DE = 0.30 m EX diameter: DF = 0.66 m Figure Q2: Propulsion system for a supersonic aircraft. F a) When the aircraft is at an altitude of 14,000 m, use the International Standard Atmosphere in the Module Data Book to state the local air pressure and tempera- ture. Thus show that the aircraft speed of…arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- International Edition---engineering Mechanics: St...Mechanical EngineeringISBN:9781305501607Author:Andrew Pytel And Jaan KiusalaasPublisher:CENGAGE L
International Edition---engineering Mechanics: St...
Mechanical Engineering
ISBN:9781305501607
Author:Andrew Pytel And Jaan Kiusalaas
Publisher:CENGAGE L
Solids: Lesson 53 - Slope and Deflection of Beams Intro; Author: Jeff Hanson;https://www.youtube.com/watch?v=I7lTq68JRmY;License: Standard YouTube License, CC-BY