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 10.7, Problem 10.73P
An aluminum alloy is to be used for a solid drive shaft such that it transmits 30 hp at 1200 rev/min. Using a factor of safety of 2.5 with respect to yielding, determine the smallest-diameter shaft that can be selected based on the maximum shear stress theory. σY= 10 ksi.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
The coupled shafts shown are transmitting 270 hp at 600 rev/min. The shafts are connected by a coupling with eight
bolts. The bolt circle diameters are 5 and 10 in.
NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part.
O
0
600 rev/min
Determine the minimum nominal shoulder diameter of a bolt if all bolts are to have the same diameter and not exceed a shear stress of
20 kpsi Select a preferred fraction size.
The minimum nominal shoulder diameter of a bolt is,
in.
A drive shaft running at 2500 rpm has outer diameter of 80mm and innerdiameter of 60mm. The allowable shear stress in the shaft is 40MPa.
Determine themaximum power that can be applied.
Determine the power in kilowatts transmitted by the solid shaft if the radius is 7.5mm and it rotates with revolution of 67.6 RPS. Maximum torsional stress equivalent to 50000 kPa.
Chapter 10 Solutions
Mechanics of Materials (10th Edition)
Ch. 10.3 - Prove that the sum of the normal strains in...Ch. 10.3 - The state of strain at the point on the arm has...Ch. 10.3 - The state of strain at the point on the pin leaf...Ch. 10.3 - The state of strain at the point on the pin leaf...Ch. 10.3 - The state of strain at the point on the leaf of...Ch. 10.3 - Use the strain transformation equations and...Ch. 10.3 - Use the strain transformation equations and...Ch. 10.3 - Use the strain transformation equations to...Ch. 10.3 - Use the strain transformation equations to...Ch. 10.3 - Use the strain- transformation equations to...
Ch. 10.3 - Use the strain transformation equations to...Ch. 10.3 - Determine the equivalent state of strain on an...Ch. 10.3 - Determine the equivalent state of strain which...Ch. 10.3 - Use the strain transformation equations to...Ch. 10.3 - Determine the equivalent state of strain, which...Ch. 10.3 - Solve Prob.103 using Mohrs circle. 103. The state...Ch. 10.3 - using Mohrs circle. 103. The state of strain at...Ch. 10.3 - Solve Prob.105 using Mohrs circle. 105. The state...Ch. 10.3 - Solve Prob.108 using Mohrs circle 108. The state...Ch. 10.3 - using Mohrs circle. 106. The state of strain at a...Ch. 10.5 - The strain at point A on the bracket has...Ch. 10.5 - Determine (a) the principal strains at A, (b) the...Ch. 10.5 - Determine (a) the principal strains at A, in the...Ch. 10.5 - The following readings are obtained for each gage:...Ch. 10.5 - The following readings are obtained for each gage:...Ch. 10.5 - The following readings are obtained for each gage:...Ch. 10.5 - The following readings are obtained from each...Ch. 10.6 - For the case of plane stress, show that Hookes law...Ch. 10.6 - to develop the strain tranformation equations....Ch. 10.6 - Determine the modulus of elasticity and Polssons...Ch. 10.6 - If it is subjected to an axial load of 15 N such...Ch. 10.6 - If it has the original dimensions shown, determine...Ch. 10.6 - If it has the original dimensions shown, determine...Ch. 10.6 - A strain gage having a length of 20 mm Is attached...Ch. 10.6 - Determine the bulk modulus for each of the...Ch. 10.6 - The strain gage is placed on the surface of the...Ch. 10.6 - Determine the associated principal stresses at the...Ch. 10.6 - Determine the applied load P. What is the shear...Ch. 10.6 - If a load of P = 3 kip is applied to the A-36...Ch. 10.6 - The cube of aluminum is subjected to the three...Ch. 10.6 - The principal strains at a point on the aluminum...Ch. 10.6 - A uniform edge load of 500 lb/in. and 350 lb/in....Ch. 10.6 - Prob. 10.45PCh. 10.6 - A single strain gage, placed in the vertical plane...Ch. 10.6 - A single strain gage, placed in the vertical plane...Ch. 10.6 - If the material is graphite for which Eg = 800 ksi...Ch. 10.6 - Determine the normal stresses x and y in the plate...Ch. 10.6 - The steel shaft has a radius of 15 mm. Determine...Ch. 10.6 - Prob. 10.51PCh. 10.6 - The A-36 steel pipe is subjected to the axial...Ch. 10.6 - Air is pumped into the steel thin-walled pressure...Ch. 10.6 - Air is pumped into the steel thin-walled pressure...Ch. 10.6 - Prob. 10.55PCh. 10.6 - The thin-walled cylindrical pressure vessel of...Ch. 10.6 - The thin-walled cylindrical pressure vessel of...Ch. 10.6 - Prob. 10.58PCh. 10.7 - A material is subjected to plane stress. Express...Ch. 10.7 - A material is subjected to plane stress. Express...Ch. 10.7 - The yield stress for a zirconium-magnesium alloy...Ch. 10.7 - Solve Prob. 1061 using the maximum distortion...Ch. 10.7 - If a machine part is made of tool L2 steel and a...Ch. 10.7 - Solve Prob.1063 using the maximum distortion...Ch. 10.7 - Prob. 10.65PCh. 10.7 - If a shaft is made of a material for which y = 75...Ch. 10.7 - Solve Prob.1066 using the maximum shear stress...Ch. 10.7 - If the material is machine steel having a yield...Ch. 10.7 - The short concrete cylinder having a diameter of...Ch. 10.7 - Prob. 10.70PCh. 10.7 - The plate is made of Tobin bronze, which yields at...Ch. 10.7 - The plate is made of Tobin bronze, which yields at...Ch. 10.7 - An aluminum alloy is to be used for a solid drive...Ch. 10.7 - If a machine part is made of titanium (TI-6A1-4V)...Ch. 10.7 - The components of plane stress at a critical point...Ch. 10.7 - The components of plane stress at a critical point...Ch. 10.7 - The 304-stainless-steel cylinder has an inner...Ch. 10.7 - The 304-stainless-steel cylinder has an inner...Ch. 10.7 - If the 2-in diameter shaft is made from brittle...Ch. 10.7 - If the 2-in diameter shaft is made from cast iron...Ch. 10.7 - If Y = 50 ksi, determine the factor of safety for...Ch. 10.7 - Prob. 10.82PCh. 10.7 - If the yield stress for steel is Y = 36 ksi,...Ch. 10.7 - Prob. 10.84PCh. 10.7 - The state of stress acting at a critical point on...Ch. 10.7 - The shaft consists of a solid segment AB and a...Ch. 10.7 - The shaft consists of a solid segment AB and a...Ch. 10.7 - Prob. 10.88PCh. 10.7 - If Y = 50 ksi, determine the factor of safety for...Ch. 10.7 - The gas tank is made from A-36 steel and has an...Ch. 10.7 - The internal loadings at a critical section along...Ch. 10.7 - If the material is machine steel having a yield...Ch. 10.7 - If the material is machine steel having a yield...Ch. 10 - In the case of plane stress, where the in-plane...Ch. 10 - The plate is made of material having a modulus of...Ch. 10 - If the material is machine steel having a yield...Ch. 10 - Determine if yielding has occurred on the basis of...Ch. 10 - The 60 strain rosette is mounted on a beam. The...Ch. 10 - Use the strain transformation equations to...Ch. 10 - If the strain gages a and b at points give...Ch. 10 - Use the strain-transformation equations and...Ch. 10 - Use the strain transformation equations to...Ch. 10 - Specify the orientation of the corresponding...
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 shear modulus of the solid steel shaft is G = 11 x 10° ksi. Motor A is directly coupled to the shaft and delivers 3 hp while rotating at 1800 rpm (revolutions per minute). Gears B, C, and D remove the powers indicated in the figure. Given the following two criteria, determine the required diameter of the shaft to the nearest 1/s in. (1) The maximum shear stress must not exceed Tallow = 9 ksi. (2) In order to prevent binding or interference in the attached machin- ery, the angle of twist of gear B with respect to gear D must not exceed 1°. 1.25 ft 1.0 ft 3 hp 1.5 ft 1 hp 0.5 hp 1.5 hparrow_forward. The mean diameter of the driving pulley for a vec-belt drive with two belts is 110 mm. The pulley groove angle is 40° and the drive transmits 4.4 kW at a speed of rotation of 1500 rev/min. The coefficient of frietion between belt and pulley 0.32, and the angle of lap is 160°. Determine the driving torque and the maximum stress in the belt material if the cross-sectional area of each belt is 120 mm.arrow_forwardProblem 3 A solid shaft is designed to transmit 60kW of power at a speed of 300 rpm. Knowing that the shaft is made of 1015 Steel with ef=28% and Sy-190 MPa.: a- Using an appropriate failure theory, find the required shaft diameter using a design factor of 2. b- Select a preferred size for the shaft, from the table below, and calculate the factor of safety. Table A-17: Preferred Sizes Millimeters 0.05, 0.06, 0.08, 0.10, 0.12, 0.16, 0.20, 0.25, 0.30, 0.40, 0.50, 0.60, 0.70, 0.80, 0.90, 1.0, 1.1, 1.2, 1.4, 1.5, 1.6, 1.8, 2.0, 2.2, 2.5, 2.8, 3.0, 3.5, 4.0, 4.5, 5.0, 5.5, 6.0, 6.5, 7.0, 8.0, 9.0, 10, 11, 12, 14, 16, 18, 20, 22, 25, 28, 30, 32, 35, 40, 45, 50, 60, 80, 100, 120, 140, 160, 180, 200, 250, 300arrow_forward
- The shaft is made of A-36 steel. It has a diameter of 38 mm and is supported by bearings at A and D, which allow free rotation. The shear modulus of elasticity for A-36 steel is 75 GPa. (Figure 1) Part A Determine the angle of twist of gear C with respect to B. Express your answer using three significant figures. vec Figure 1 of 1> rad Submit Request Answer 90 N-m 0.6 m Provide Feedback Ne 90 N-m 0.75 m 0.9 marrow_forwardDetermine the diameter of a solid steel shaft which will transmit 112.5 kW at 200 rpm. Also determine the length of the shaft if the twist must not exceed 1.5o over the entire length. The maximum shear stress is limited to 55 N/mm2. Take the value of modulus of rigidity = 8 x 104 N/mm2.arrow_forwardThe driveshaft of an automobille is being designed to transmit 234 kw at 3167 rpm. Determine the minimum diameter (in mm) required for a solid steel shaft if the allowable shear stress in the shaft is not to exceed 44 MPa. Note: Do not include units in your answer Answer:arrow_forward
- A motor drives a shaft at 300 rpm and a power output of 100 kW. The shaft is made of A-36 steel and has diameter 128 mm. There are two gears at B and C and power is transmitted to them equally. The bearing at D can be taken to be frictionless. Calculate the maximum shear stress in the shaft, and the angle of twist of D relative to A. The lengths are 2 m, L2 = 3 m, and L3 = 3.5 m. L₁ = A B 030/ 2021 Cathy Zupke X ↳₂ The maximum shear stress is Tmax= 60.9 X MPa The angle of twist (in degrees) between A and D is A/D 58.2 O Carrow_forwardB1arrow_forwardτBC = ? MPa τCE = ? MPa (Please provide clear solution, thank you)arrow_forward
- Situation 24: The shaft is made of A992 steel (G = 75 GPa) and has an allowable shear stress of Talow = 75 MPa and the allowable angle of twist of gear A relative to C is 0.03 rad. When the shaft is rotating at 300 rpm, the motor at C supplies 8 kW of power, while gears A and B withdraw 5 kW and 3 KW, respectively. 300 mm 300 mm B 72. Determine the torque in motor C. C. d. a. 254.7 N-m 245.7 N-m b. 159.2 N-m 195.2 N-m 73. Determine the torque in gear A. a. 254.7 N-m C. 245.7 N-m b. 159.2 N-m d. 195.2 N-m 74. Determine the required diameter of the shaft. a. 24 mm b. 28 mm C. d. 26 mm 30 mmarrow_forwardA solid circular shaft needs to be designed to transmit a torque of 50N.m. If the allowable shear stress of the material is 140MPa, assuming a factor of safety of 2, the minimum allowable design diameter in mm isarrow_forward30 min. Q4 (DÖÇ-1) For the given gear-shaft system failure shear stress for the shafts is 90 MPa, If the factor of safety is 1.5 and the diameter of the shaft CD is d2 = 60 mm, determine the minimum diameter of shaft AB, d,. Shafts turn freely within the bearings. rg = 150 mm, rc = 100 mm Barrow_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