Mechanics Of Materials, Si Edition
9th Edition
ISBN: 9789810694364
Author: Russell C Hibbeler
Publisher: Pearson Education
expand_more
expand_more
format_list_bulleted
Videos
Textbook Question
Chapter 10.7, Problem 10.91P
The internal loadings at a critical section along the steel drive shaft of a ship are calculated to be a torque of 2300 lb · ft, a bending moment of 1500 lb · ft, and an axial thrust of 2500 lb, If the yield points for tension and shear are σY = 100 ksi and τY = 50 ksi, respectively, determine the required diameter of the shaft using the maximum shear stress theory.
Prob. 10−91
Expert Solution & Answer
Trending nowThis is a popular solution!
Students have asked these similar questions
I need to figure out what the right answer is.. I dont believe I have the right one selcted!
A rod is made from two segments: AB is steel and BC is brass. It is fixed at its ends and subjected to a torque of T = 725 N-m. The steel portion has a diameter of 30 mm. Assume the support reactions at the walls will be the same.
Gst = 75GPa, Gbr = 39 GPa
Part A
Determine the absolute maximum shear stress in the steel shaft.
Express your answer to three significant figures and include appropriate units.
μÅ 3
Tabs = Value
max
Submit Request Answer
Units
?
1.60 m
0.75 m
The A992 steel shaft has a diameter of 75 mm and is fixed at its ends A and B. The
subjected to the
shear modulus of elasticity for the material is 75 GPa. The shaft
torques shown in the figure below. (Figure 1)
Figure
500 N.m
O
1 m
200 N-m
D
1.5 m
1 m
< 1 of 1
Part A
Determine the absolute maximum shear stress in the shaft.
Express your answer to three significant figures and include the appropriate units.
Tabs max =
Submit
Provide Feedback
Value
Request Answer
Units
?
Chapter 10 Solutions
Mechanics Of Materials, Si 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 - Prob. 10.3PCh. 10.3 - Prob. 10.4PCh. 10.3 - 10-5. The state of strain at the point on the gear...Ch. 10.3 - Use the strain transformation equations and...Ch. 10.3 - Use the strain transformation equations and...Ch. 10.3 - Prob. 10.8PCh. 10.3 - Use the strain transformation equations to...Ch. 10.3 - Use the strain- transformation equations to...
Ch. 10.3 - 10–11. The state of strain on an element has...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 - Prob. 10.17PCh. 10.3 - Prob. 10.18PCh. 10.3 - 10–19. Solve part (a) of Prob. 10–4 using Mohr’s...Ch. 10.3 - *10–20. Solve part (a) of Prob. 10–5 using Mohr’s...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 - Prob. 10.24PCh. 10.5 - Prob. 10.25PCh. 10.5 - 10–26. The 60° strain rosette is attached to point...Ch. 10.5 - 10–27. The strain rosette is attached at the point...Ch. 10.5 - Prob. 10.28PCh. 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 - 10–39. The strain in the x direction at point A on...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 - Prob. 10.43PCh. 10.6 - *10–44. Strain gauge b is attached to the surface...Ch. 10.6 - Prob. 10.45PCh. 10.6 - 10?46. The principal strains in a plane, measured...Ch. 10.6 - 10–47. The principal stresses at a point are shown...Ch. 10.6 - *10–48. The 6061-T6 aluminum alloy plate fits...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 - Prob. 10.52PCh. 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 - Prob. 10.63PCh. 10.7 - Prob. 10.64PCh. 10.7 - Prob. 10.65PCh. 10.7 - Prob. 10.66PCh. 10.7 - Prob. 10.67PCh. 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 - 10–70. Derive an expression for an equivalent...Ch. 10.7 - Prob. 10.71PCh. 10.7 - Prob. 10.72PCh. 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 - 10–75. The components of plane stress at a...Ch. 10.7 - Prob. 10.76PCh. 10.7 - 10–77. If the A-36 steel pipe has outer and inner...Ch. 10.7 - Prob. 10.78PCh. 10.7 - Prob. 10.79PCh. 10.7 - Prob. 10.80PCh. 10.7 - Prob. 10.81PCh. 10.7 - Prob. 10.82PCh. 10.7 - Prob. 10.83PCh. 10.7 - Prob. 10.84PCh. 10.7 - 10–85. The state of stress acting at a critical...Ch. 10.7 - The shaft consists of a solid segment AB and a...Ch. 10.7 - Prob. 10.87PCh. 10.7 - Prob. 10.88PCh. 10.7 - 10–89. The gas tank has an inner diameter of 1.50...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 - *10–92. The shaft consists of a solid segment AB...Ch. 10.7 - Prob. 10.93PCh. 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...
Additional Engineering Textbook Solutions
Find more solutions based on key concepts
What types of coolant are used in vehicles?
Automotive Technology: Principles, Diagnosis, and Service (5th Edition)
The spring of k and unstretched length 1.5R is attached to the disk at a radial distance of 0.75R from the cent...
Engineering Mechanics: Statics
Find the change in length of side AB.
Mechanics of Materials, 7th Edition
A windowmounted air conditioner removes 3.5kJ from the inside of a home using 1.75 kJ work input. How much ener...
EBK FUNDAMENTALS OF THERMODYNAMICS, ENH
Compute the hydraulic radius for a circular drain pipe running half full if its inside diameter is 300 mm.
Applied Fluid Mechanics (7th Edition)
The moment of inertia Iy for the slender rod in terms of the rod’s total mass m .
Engineering Mechanics: Statics & Dynamics (14th Edition)
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
- You are designing a driveshaft for a motor from a material with G = 15,000 ksi. The specifications for the project require a solid shaft to be used. Based on the location of the motor, the driveshaft has a length L = 9.55 ft. The motor provides 67 hp at a rotation rate of 2475 rpm.Your design requires φ ≤ 0.905° over the length of the shaft. Additionally, the maximum shear stress in the material τmax ≤ 4.0 ksi.Determine rmin, the minimum radiusarrow_forwardThe A-36 hollow steel shaft is 2 m long and has an outer diameter of 40 mm. When it is rotating at 77 rad/s, it transmits 32 kW of power from the engine to the generator G. The shear modulus of elasticity for A-38 steel is 75 GPa, (Figure 1) Determine the smallest thickness of the shaft if the allowable shear stress is allow = 140 MPa and the shaft is restricted not to twist more than 0.05 rad.arrow_forwardThe connecting rod of a four stroke cycle Diesel engineis of circular section and of length 550 mm. The diameter and stroke of the cylinder are 150 mm and240 mm respectively. The maximum combustion pressure is 4.7 N/mm2. Determine the diameter ofthe rod to be used, for a factor of safety of 3 with a material having a yield point of 330 MPa.Find also the maximum bending stress in the connecting rod due to whipping action if the engine runsat 1000 r.p.m. The specific weight of the material is 7800 kg/m3. [Ans. 33.2 mm ; 48 MPa]arrow_forward
- The steel shaft is made from two segments: AC has a diameter of 0.5 in., and CB has a diameter of 1 in. If the shaft is fixed at its ends A and B and subjected to a torque of 500 lb.ft at point C, determine the maximum shear stress in the shaft. G = 10.8x10^3 ksiarrow_forwardThe mean dimensions of the cross section of the leading edge and torsion box of an airplane wing can be approximated as shown. If the wing is subjected to a torque of T = 5.9 MN.m and the wall thickness is 10 mm, determine the average shear stress in MPa developed in the wing. 10 mm 0.5 m 10.25 0.25 m 10 mm- 0.25 m 2 m 10 mmarrow_forwardThe mean dimensions of the cross-section of the leading edge and torsion box of an airplane wing can be approximated as shown. If the wing is made of 2014-T6 (G = 19 GPa) aluminum alloy having an allowable shear stress of Tallow = 158 MPa, and the wall thickness is 12 mm. Determine the maximum allowable torque and the corresponding angle of twist per meter length of the wing.arrow_forward
- The five-bolt connection must support an applied load of P = 1800 lb. If the average shear stress in the bolts must be limited to 47 ksi, determine the minimum bolt diameter that may be used for this connection.arrow_forwardThe solid steel shaft carries the torques Tl = 750 N • m and T2 = 1200 N • m.using Ll = 1.0 = 2.5 m and G = 83 GPa, determine the smallest allowable diameter of the shaft if the shear stress is limited to 60 MPa and the angle of rotation of the free end is not to exceed 40arrow_forwardThe solid steel shaft is supported by frictionless bearings in D and E. This system is connected to a motor that provides 5 kW of power to the shaft while rotating at w = 75 rpm. If A and B gears get 2 kW and 3 kW respectively, determine the minimum shaft diameter. w rotation speed and safety shear stress τem = 35MPa are known and given in the table with your names below.arrow_forward
- Part A The turbine develops 230 kW of power, which is transmitted to the gears such that both B and C receive an equal amount. The rotation of the 100-mm-diameter A992 steel shaft is w = 720 rev/min. (Figure 1) The journal bearing at D allows the shaft to turn freely about Determine the absolute maximum shear stress in the shaft. Express your answer to three significant figures and include appropriate units. its axis. µA ? Value Units max Submit Request Answer Figure 1 of 1 Part B Determine the rotation of end D of the shaft relative to A. Use Gst = 75.0 GPa. Express your answer to three significant figures and include appropriate units. 1.5 m µA ? 2 m Value Units 1 m Submit Denuest Anewerarrow_forwardThe shaft is made of A992 steel and has an allowable shear stress of 95 MPa. When the shaft is rotating at 420 rpm, the motor supplies 11 kW of power, while gears A and B withdraw 7 kW and 4 kW, respectively. Determine the required minimum diameter of the shaft to the nearest millimeter. Also, find the rotation of gear A relative to C. (G=75 GPa) a. D=50.9589mm; 0.000004 rad b. D=50.9589mm; 0.0369 rad c. D=26mm; 0.000004 rad 300 mm d. D=26mm; 0.0369rad e. None of the above 300 mm Barrow_forwardThe steel shaft is formed by attaching a hollow shaft to a solid shaft. Determine the maximum torque T that can be applied to the ends of the shaft without exceeding a shear stress of 70 MPa or an angle of twist of 2.5° in the 3.5 m length. Use G = 83 GPa for steel. 100 mm 70 mm 70 mm 1.5 m T 2 marrow_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