Statics and Mechanics of Materials (5th Edition)
5th Edition
ISBN: 9780134382593
Author: Russell C. Hibbeler
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Concept explainers
Textbook Question
Chapter 10.4, Problem 14FP
The 80-mm-diameter shaft is made of steel. If it is subjected to the triangular distributed load, determine the angle of twist of end A. Take G = 75 GPa.
Prob. F10-14
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
Please answer with the sketches.
The beam is made of elastic perfectly plastic material. Determine the shape factor for the cross
section of the beam (Figure Q3). [Take σy = 250 MPa, yNA = 110.94 mm, I = 78.08 x 106 mm²]
y
25 mm
75 mm
I
25 mm
200 mm
25 mm
125
Figure Q3
A beam of the cross section shown in Figure Q3 is made of a steel that is assumed to be elastic-
perfectectly plastic material with E = 200 GPa and σy = 240 MPa. Determine:
i.
The shape factor of the cross section
ii.
The bending moment at which the plastic zones at the top and bottom of the bar are 30
mm thick.
15 mm
30 mm
15 mm
30 mm
30 mm
30 mm
Chapter 10 Solutions
Statics and Mechanics of Materials (5th Edition)
Ch. 10.3 - Determine the internal torque at each section and...Ch. 10.3 - Determine the internal torque at each section and...Ch. 10.3 - Prob. 3PPCh. 10.3 - Prob. 4PPCh. 10.3 - Prob. 1FPCh. 10.3 - The hollow circular shaft is subjected to an...Ch. 10.3 - Prob. 3FPCh. 10.3 - Prob. 4FPCh. 10.3 - Determine the maximum shear stress in the shaft at...Ch. 10.3 - Prob. 6FP
Ch. 10.3 - The solid 50-mm-diameter shaft is subjected to the...Ch. 10.3 - Prob. 8FPCh. 10.3 - Prob. 1PCh. 10.3 - Prob. 2PCh. 10.3 - A shaft is made of an aluminum alloy having an...Ch. 10.3 - The copper pipe has an outer diameter of 40 mm and...Ch. 10.3 - The copper pipe has an outer diameter of 2.50 in....Ch. 10.3 - The solid aluminum shaft has a diameter of 50 mm...Ch. 10.3 - The solid aluminum shaft has a diameter of 50 mm....Ch. 10.3 - The solid 30-mm-diameter shaft is used to transmit...Ch. 10.3 - The solid shaft is fixed to the support at C and...Ch. 10.3 - The link acts as part of the elevator control for...Ch. 10.3 - The assembly consists of two sections of...Ch. 10.3 - The shaft has an outer diameter of 100 mm and an...Ch. 10.3 - Prob. 13PCh. 10.3 - Prob. 14PCh. 10.3 - Prob. 15PCh. 10.3 - Prob. 16PCh. 10.3 - The rod has a diameter of 1 in. and a weight of 10...Ch. 10.3 - Prob. 18PCh. 10.3 - Prob. 19PCh. 10.3 - Prob. 20PCh. 10.3 - Prob. 21PCh. 10.3 - The 60-mm-diametcr solid shaft is subjected to the...Ch. 10.3 - Prob. 23PCh. 10.3 - The 60-mm-diameter solid shaft is subjected to the...Ch. 10.3 - Prob. 25PCh. 10.3 - The pump operates using the motor that has a power...Ch. 10.3 - Prob. 27PCh. 10.3 - Prob. 28PCh. 10.3 - Prob. 29PCh. 10.3 - The gear motor can develop 2 hp when it turns at...Ch. 10.3 - Prob. 31PCh. 10.3 - The 6-hp reducer motor can turn at 1200 rev/min....Ch. 10.3 - Prob. 33PCh. 10.3 - Prob. 34PCh. 10.4 - The 60-mm-diameter steel shaft is subjected to the...Ch. 10.4 - Prob. 10FPCh. 10.4 - The hollow 6061-T6 aluminum shaft has an outer and...Ch. 10.4 - A series of gears are mounted on the...Ch. 10.4 - Prob. 13FPCh. 10.4 - The 80-mm-diameter shaft is made of steel. If it...Ch. 10.4 - The propellers of a ship are connected to an A-36...Ch. 10.4 - Prob. 36PCh. 10.4 - The splined ends and gears attached to the A992...Ch. 10.4 - Prob. 38PCh. 10.4 - The 60-mm-diameter shaft is made of 6061-T6...Ch. 10.4 - The 60-mm-diameter shaft is made of 6061-T6...Ch. 10.4 - Prob. 41PCh. 10.4 - Prob. 42PCh. 10.4 - Gear B supplies 15 kW of power, while gears A, C,...Ch. 10.4 - Prob. 44PCh. 10.4 - The turbine develops 150 kW of power, which is...Ch. 10.4 - Prob. 46PCh. 10.4 - Prob. 47PCh. 10.4 - Prob. 48PCh. 10.4 - The A 992 steel shaft has a diameter of 50 mm and...Ch. 10.4 - The turbine develops 300 kW of power, which is...Ch. 10.4 - Prob. 51PCh. 10.4 - The device shown is used to mix soils in order to...Ch. 10.4 - The 6-in.-diameter L-2 steel shaft on the turbine...Ch. 10.4 - The A-36 hollow steel shaft is 2 m long and has an...Ch. 10.4 - The A-36 solid steel shaft is 3 m long and has a...Ch. 10.4 - Prob. 56PCh. 10.4 - Prob. 57PCh. 10.4 - Prob. 58PCh. 10.4 - The tubular drive shaft for the propeller of a...Ch. 10.4 - The 60-mm diameter solid shaft is made of 2014-T6...Ch. 10.4 - Prob. 61PCh. 10.5 - The steel shaft has a diameter of 40 mm and is...Ch. 10.5 - The A992 steel shaft has a diameter of 60 mm and...Ch. 10.5 - The steel shaft is made from two segments: AC has...Ch. 10.5 - The bronze C86100 pipe has an outer diameter of...Ch. 10.5 - The bronze C86100 pipe has an outer diameter of...Ch. 10.5 - Prob. 67PCh. 10.5 - Prob. 68PCh. 10.5 - The Am1004-T61 magnesium tube is bonded to the...Ch. 10.5 - The Am1004-T61 magnesium tube is bonded to the...Ch. 10.5 - The two shafts are made of A-36 steel. Each has a...Ch. 10.5 - Prob. 72PCh. 10.5 - Prob. 73PCh. 10.5 - Prob. 74PCh. 10.5 - Prob. 75PCh. 10.5 - The composite shaft consists of a mid-section that...Ch. 10.5 - Prob. 77PCh. 10.5 - The tapered shaft is confined by the fixed...Ch. 10.5 - Prob. 79PCh. 10 - The shaft is made of A992 steel and has an...Ch. 10 - The shaft is made of A992 steel and has an...Ch. 10 - The A-36 steel circular tube is subjected to a...Ch. 10 - Prob. 4RPCh. 10 - Prob. 5RPCh. 10 - Prob. 6RPCh. 10 - Prob. 7RPCh. 10 - Prob. 8RPCh. 10 - The 60-mm-diameter shaft rotates at 300 rev/min....
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
- A torque of magnitude T = 12 kNm is applied to the end of a tank containing compressed air under a pressure of 8 MPa (Figure Q1). The tank has a 180 mm inner diameter and a 12 mm wall thickness. As a result of several tensile tests, it has been found that tensile yeild strength is σy = 250 MPa for thr grade of steel used. Determine the factor of safety with respect to yeild, using: (a) The maximum shearing stress theory (b) The maximum distortion energy theory T Figure Q1arrow_forwardAn external pressure of 12 MPa is applied to a closed-end thick cylinder of internal diameter 150 mm and external diameter 300 mm. If the maximum hoop stress on the inner surface of the cylinder is limited to 30 MPa: (a) What maximum internal pressure can be applied to the cylinder? (b) Sketch the variation of hoop and radial stresses across the cylinder wall. (c) What will be the change in the outside diameter when the above pressure is applied? [Take E = 207 GPa and v = 0.29]arrow_forwardso A 4 I need a detailed drawing with explanation し i need drawing in solution motion 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°. cam is 50 mm. Then design the cam profile to give the above displacement diagram if the minimum circle diameter of the か ---2-125 750 x2.01 98Parrow_forward
- 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_forwardI need a detailed drawing with explanation so Solle 4 يكا Pax Pu + 96** motion 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°. cam is 50 mm. Then design the cam profile to give the above displacement diagram if the minimum circle diameter of the 55 ---20125 750 X 2.01 1989arrow_forwardAshaft 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 720arrow_forward
- chanism shown in figure below, the crank OA rotates at 60 RPM counterclockwise. The velocity diagram is also drawn to scale (take dimensions from space diagram). Knowing that QCD is rigid plate, determine: a. Linear acceleration of slider at B, b. Angular acceleration of the links AC, plate CQD, and BD. D Space Diagram Scale 1:10 A ES a o,p,g b Velocity Diagram Scale 50 mm/(m/s) darrow_forwardA thick closed cylinder, 100 mm inner diameter and 200 mm outer diameter is subjected to an internal pressure of 230 MPa and outer pressure of 70 MPa. Modulus of elasticity, E=200 GPa. and Poisson's ratio is 0.3, determine: i) The maximum hoop stress ii) The maximum shear stress iii) The new dimension of the outer diameter due to these inner and outer pressures.arrow_forwardA ә レ shaft 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 10,000 495 Crank angle 8 degrees 270 0 90 か ---20125 750 X 2.01 44 720 sarrow_forward
- The gas tank is made from A-36 steel (σy = 250 MPa) and has an inner diameter of 3.50 m. If the tank is designed to withstand a pressure of 1.2 MPa, determine the required minimum wall thickness to the nearest millimeter using (a) The maximum-shear-stress theory (b) Maximum distortion- energy theory. Apply a factor of safety of 1.5 against yielding.arrow_forwardә 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 اهarrow_forward2 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 79622arrow_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
Understanding Torsion; Author: The Efficient Engineer;https://www.youtube.com/watch?v=1YTKedLQOa0;License: Standard YouTube License, CC-BY