Mechanics of Materials-Access
9th Edition
ISBN: 9780133402735
Author: HIBBELER
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Concept explainers
Question
Chapter 10.7, Problem 10.67P
To determine
To derive: An expression for an equivalent bending moment
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
A round steel shaft rotates at 200 rpm while delivering 5000 W to a gear producing a bending moment of 350 N.m. Find the diameter in mm, of this shaft if the allowable shearing stress is 60 MPa and the allowable bending stress is 40 MPa.
Derive the equations for shear force and bending moment
Derive the formula for the maximum shearing stress due to bending if the the cross section is a criclewith radius r and shear force V.
Chapter 10 Solutions
Mechanics of Materials-Access
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...
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
- Calculate the greatest shear stress in a hollow shaft with an outer diameter of 400 mm and an inner diameter of 200 mm when it is subjected to a bending moment of 450 N.m if the shear modulus is G = 70 Gpa and what is the angle if the length is 10 marrow_forwardneed in 1 hour pls!! thanks!! If a twisting moment of 10,000 lb-in is impressed upon a 1 and 3/4 inch diameter shaft, what is the maximum shearing stress developed? Also, what is the angle of twist in a 4 ft. length of the shaft in radians? The material is steel for which G = 12x10⁶ lb/in². Assume entirely elastic action.arrow_forwardA machine shaft supported on bearings 2 m apart is to transmit 180 KW at 200 rpm while subjected to a reversed bending load of 5000 N located at a distance of 60 cm from one bearing. Allow a shear stress of 40 MPa and a bending stress of 80 MPa, determine the shaft diameter for steady loading if km = 1.5 and ks = 1.0. note: answer must be in mmarrow_forward
- A solid and a hollow shaft are made of same material. The diameter of the solid shaft is 300 mm and has the same cross-sectional area as a hollow shaft with inside diameter of 250 mm. Find the ratio of the Angles of twist in equal lengths of these shafts, when stressed to the same intensityarrow_forwardA round steel shaft rotates at 200 rpm and is subjected to a torque of 275 N- m and a bending moment of 415 N- m. Determine the equivalent twisting moment and the equivalent bending moment .arrow_forwardA shaft is used to transmit 55 kW power at 500 rpm is subjected to a bending moment of 450 Nm. Calculate the diameter of the shaft if the shear strength of the shaft is 180 MPa.arrow_forward
- Pls answer thank you! The maximum shear stress induced on a 3” diameter solid shaft loaded with a torque of 8,000 in-lb and bending moment of 12,000 in-lb is___________.arrow_forwardA high strength steel band saw, 30 mm wide by 0.80 mm thick, runs over pulleys 500 mm in diameter. What maximum flexural stress is developed? What minimum diameter pulleys can be used without exceeding a flexural stress of 500 MPa? Assume E = 300 GPa.arrow_forwardMaximum shear stress developed on the surface of a solid circular shaft under pure torsion is 240 MPa. If the shaft diameter is doubled, then what is the maximum shear stress developed corresponding to the torque?arrow_forward
- Pls answer thank you! A solid rotating shaft of 5.08 cm in diameter and 0.914 m in length has a central load of 362.87 kg and delivers a torque of 338.95 N-m. If the correction factor for torque and bending moments are1.2 and 1.5, respectively, calculate the maximum shear in MPa due to the combined loads.arrow_forwardderive shear and moment equationsarrow_forwardTwo solid shafts, 50 mm in diameter, are connected by a flange coupling with six bolts and a pitch circle diameter of 95 mm. If the maximum shear stress in the shaft due to a torque is to be the same as the shear stress in the bolts, calculate a suitable bolt diameter. If the maximum working shear stress is limited to 55 MPa, what maximum power will be transmitted by the coupling at 700 r/min?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 PressMechanics of Materials (10th Edition)Mechanical EngineeringISBN:9780134319650Author:Russell C. HibbelerPublisher:PEARSONThermodynamics: An Engineering ApproachMechanical EngineeringISBN:9781259822674Author:Yunus A. Cengel Dr., Michael A. BolesPublisher:McGraw-Hill Education
- Control Systems EngineeringMechanical EngineeringISBN:9781118170519Author:Norman S. NisePublisher:WILEYMechanics of Materials (MindTap Course List)Mechanical EngineeringISBN:9781337093347Author:Barry J. Goodno, James M. GerePublisher:Cengage LearningEngineering 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
Everything About COMBINED LOADING in 10 Minutes! Mechanics of Materials; Author: Less Boring Lectures;https://www.youtube.com/watch?v=N-PlI900hSg;License: Standard youtube license