Find the diameter of a shaft to tansmit twisting moments varying from 800 N-m to 1600 N-m. The ultimate tensile strength for the material is 600 MPa and yield stress is 450 MPa. Assume the stress concentration factor = 1.2, suface finish factor = 0.8 and size factor = 0.85. [Ans. 27.7 mn] %3! %3!

Find the diameter of a shaft to tansmit twisting moments varying from 800 N-m to 1600 N-m. The ultimate tensile strength for the material is 600 MPa and yield stress is 450 MPa. Assume the stress concentration factor = 1.2, suface finish factor = 0.8 and size factor = 0.85. [Ans. 27.7 mn] %3! %3!

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter3: Torsion

Section: Chapter Questions

Problem 3.7.8P: A tubular shaft being designed for use on a construction site must transmit 120 kW at 1,75 Hz, The...

See similar textbooks

Related questions

Q: A round bar of length l = 100 mm, diameter d = 20 mm, is subjected to an axial force P = 2000 N, a…

A: Givenl=100 mmd=20 mmP=2000NF=11000 NT=110 N.mSy=480 Mpa

Q: If an isotropic material has a Young's modulus of 200 Gpa and a Poisson's ratio of 0.3, calculate…

Q: Find the minimum shaft diameter (dmin) of the gear system given the dimensions and load values. A…

Q: T examination of a steel component reveals the presence of a 5 mm long edge crack. If plane - strain…

A: Given that, Crack Length, ao=5 mm,KIC=75 MPa mStress, σ=400 MPa,dAdN=4×10-37m=4

Q: Problems 145 For the data below, find the slope and intercept relating two hardness scales for…

Q: Consider the equation for angular twist due to torsion. Imagine you are designing a solid round…

A: The angular distortion of an item caused by a couple of twisting torques is known as the angle of…

Q: A hollow steel shaft 2304mm long is to be designed to transmit a torque of 28350 kJ. The shear…

A: Given data: steel shaft long (l)=2304mm transmit torque(T)=28350KJ Shear modulus of…

Q: Given: A ground steel rod with known diameter d is operating at temperature T. You are designing…

Q: A hollow aluminium tube used in a roof structure has an outside diameter 104mm and an inside…

A: A) Angle of twist for the given max shear stress in a hollow shaft: The angle of twist of a hollow…

Q: Consider a hollow steel shaft with a 130mm outside diameter and a 70mm inside diameter. What is the…

A: Given Data⇒ Hollow steel shaft Outside diameter of shaft(D)=130 mm=0.13 m Inside diameter of…

Q: A shaft is required to transmit 285 kW power at 255 r.p.m. The maximum torque may be 1.8 times the…

A: Given that , Power P=285KW=285×106N-mm/sShear stress σs=46Mpa=46N/mm2Angle of twist…

Q: ROBLEM SET FOR SAMPAGUITA & DAISY GROUP: JAXIAL VARIABLE STRESS DESIGN BY THE LANGER-YIELD/MODIFIED…

Q: In a torsion text, the specimen is a hollow shaft with 40 mm external and 20 mm internal diameter.…

A: Data given- D = 40 mm = 0.04 m d = 20 mm = 0.02 m T = 2 kNm Angular twist = 0.5° = 0.5×π/180…

Q: A cube of a material with a yield strength of 100x10° N/m*is subjectedtotheloads shown onthe right.…

Q: Falcon company Nizwa is conducting a campus interview to you. You are asked to design the propeller…

Q: 10 A flat spiral spring is 12 mm wide, 0.3 mm thick and 2.5 m long. Assuming the maximum stress of…

A: A flat spring is 12 mm wide, 0.3 mm thick, and 2.5 m long, as far as we know.The maximum stress of…

Q: A spur gear wheel will be produced for the motion mechanism of a woodworking machine driven by a…

Q: A solid circular shaft will be 2 m long, and its diameter is to be determined. It is made of steel…

A: When a solid shaft having diameter 'd' and shear modulus 'G' is subjected to pure torsional moment…

Q: Q7 You are given atubular steel shaft of length (1+0.1-X)m, external diameter 20mm and internal…

A: Given: The shaft length, L = ( 1 + 0.1X) The external diameter of tube, D = 20 mm The internal…

Q: Find the diameter of a shaft to transmit twisting moments varying from 800 N-m to 1600 N-m. The…

Q: A shaft capable of transmitting 50 kW of power will spin at 100 revolutions per minute. The maximum…

A: Given Power, P = 50 kW Speed, N =10 0 rpm Length, l = 3 m Angle = 1.5 degree Find Diameter,…

Q: Q.solid aluminium shaft 1 m long and 50 mm diameter is to be replaced by a tubular steel shaft of…

Q: A hollow circular shaft has an external diameter of 0.120 m and the internal diameter а) is…

Q: experiment: Torsion test Discussion: 1. Does plane section (square plane) on the surface of the…

Q: O A four-element model of springs and dashpots is better than a power-law equation in representing…

A: following is the correct answer to the above question-

Q: Let FA=100 N and FC= 208.33 N for the shaft below. The shaft is made of 2014 aluminum alloy with…

A: a) Consider the free body diagram of the shaft.

Q: Describe the theory Tresca yield criterion?

A: Theories of failures relates different failure criterions with the properties of the materials such…

Q: Read and Solve carefully please Write clearly and Box the Final answer Express your answer to 3…

Q: The stress on a polymer under constant strain relaxes to 42% of its original value in 40 hours. The…

Q: A closed coil helical spring is to deflect 1 mm under the axial load of 100 N at shearing of 90…

Q: A hollow 3 m long steel shaft that will provide the main engine drive transmission for a ship to be…

A: Given data: Length of hollow steel shaft, L=3 m=3000 mm. Torque requirement is, T=25 kN.m=25×106…

Q: A spring subjected to torsional stress is made of hard-drawn brass wire. The ultimate strength in…

A: Spring are used to absorb energy or restored it slowly or rapidly according to the function of a…

Q: A horse had an accident and lost one of his legs, you trying to design a leg for that poor horse,…

A: Polycrystalline materials are basically made of amorphous solids some of which are light weight,…

Q: Consider a hollow steel shaft with a 130 mm outside diameter and a 70 mm inside diameter. What is…

Q: B) Estimate the minimum shaft diameter according to the maximum shear stress theory for a shaft…

Q: 9. Find the diameter of a shaft to transmit twisting moments varying from 800 N-m to 1600 N-m. The…

Q: A section of a rotating shaft is under an alternating bending moment of 70NM and a torque of 35NM.…

Q: design objective of reliable structure and performance via design iterations with constrains of…

A: Power(P)=200kW=200×103WSpeed(N)=1200RPMMaximum torque that can be operated on the shaft=30% to the…

Q: section of a rotating shaft is under an alternating bending moment of 70Nm and a torque of 35Nm. The…

Q: A windmill turns a series of slender rods fixed about one end (see formula below). They are…

Q: = 0.3.

A: Data we have width b = 3m . thickness d = 5mm 6 y =22OMPa . E=200GPa. v = 0.3 ⇒ Maximum…

Q: A solid circular shaft will be 2 m long, and its diameter is to be determined. It is made of steel…

A: Disclaimer : “Since you have asked multiple question, we will solve the first question that is…

Q: At what value of poisson’s ratio young modulus is equivalent to shear modulus?

Q: Hello thanks a lot you found the shear stress values yesterday . now , can you find the total…

Concept explainers

Combined Loading

Any functioning component, such as machine parts, structural members, pressure vessels, and so on, are all under the influence of more than one force. When anybody is under the influence of more than one force such as shear forces, bending moments, axial forces, torsion, and so on, then such body is said to be under combined loading. A very practical example of combined loading is the crankshaft of an internal combustion engine (IC engine). The crankshaft of the IC engine is under high rpm, which is caused due to the torsional forces. Due to the presence of piston, counterbalances, and internal imbalances, the crankshaft experiences lateral forces and due to the rise in temperature, the crankshaft undergoes thermal expansion, which pulls the crankshaft along the axial direction and lateral direction. The presence of unbalanced loads along the periphery of the crankshaft also induces a bending moment.

Question

9. Find the diameter of a shaft to transmit twisting moments varying from 800 N-m to 1600 N-m. The
ultimate tensile strength for the material is 600 MPa and yield stress is 450 MPa. Assume the stress
concentration factor = 1.2, suface finish factor = 0.8 and size factor = 0.85.
[Ans. 27.7 mn]
%3D
%3D
%3D

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

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

8. Find the diameter of a shaft made of 37 Mn 2 steel having the ultimate tensile strength as 600 MPa and yield stress as 440 MPa. The shaft is subjected to completely reversed axial load of 200 kN. Neglect stress concentration factor and assume surface finish factor as 0.8. The factor of safety may be taken as 1.5. [Ans. 51.7 mm]
Part A For a hard aluminum notched part having notch dimension r = 0.75 in, geometric stress-concentration factor Kt = 2.8, material strength Sut = 50 kpsi, and bending loading type, find the Neuber factor, a (in inches). Part B Find the material's notch sensitivity, q. Part C Find the fatigue stress-concentration factor. Kf.
A winch raises a 60# bucket of paint, as shown. The main shaft of the winch is simply supported by bearings at A and C. The winch uses a 6"diameter pulley (B) and torque is applied at the end of the shaft to pull the cart. Determine the minimum shaft diameter based on the Distortion Energy (Von Mises) criterion using on a yield strength of 50ksi and a design factor of 2.0. 12" winch 18" C A Paint Rope
Find the diameter of a shaft made of 37 Mn 2 steel having the ultimate tensile strength as 600 MPa and yield stress as 440 MPa. The shaft is subjected to completely reversed axial load of 200 kN. Neglect stress concentration factor and assume surface finish factor as 0.8. The factor of safety may be taken as 1.5. [ 9:57 /
Find the diameter of a shaft made of 37 Mn 2 steel having the ultimate tensile strength as 600 MPa and yield stress as 440 MPa. The shaft is subjected to completely reversed axial load of 200 kN. Neglect stress concentration factor and assume surface finish factor as 0.8. The factor of safety may be taken as 1.5. [ jo 9:57 /
Find the diameter of a shaft to transmit twisting moments varying from 800 N-m to 1600 N-m. The ultimate tensile strength for the material is 600 MPa and yield stress is 450 MPa. Assume the stress concentration factor = 1.2, surface finish factor = 0.8 and size factor = 0.85.
= A shaft of circular cross-section with diameter 100 mm is sub- jected to a bending moment of M = 10 kN.m, torque T = 30kN.m, and axial load F = 50 kN. Consider for the material of the shaft a yield strength of oy 750 MPa. Determine the design factor of safety using Tresca and von Mises Theories. Hint: find the point in the shaft that would be subjected to the largest stresses caused by the forces applied. Refer the the lecture. Example of Tresca with the inclusion of safety factor: 01 - 03 2 Where N is the safety factor. = бу 2N
A steel shaft is to transmit 4.5 MW at 3 Hz without exceeding a shearing stress of 50 MPa or twisting through more than 10 in a length of 26 diameters. Compute the proper diameter if G = 83 GPa. [Note: Attach your solution] %3D
2. Justify the simplification of this problem to only modeling one-eighth of the cross section 3. Construct two-dimensional elements grid (i.e., grid/mesh region), make the correct numbering and labeling of the nodes and elements.
Material Sy Sut E AISI 4130 100 ksi 125 ksi 29 x 10^3 ksi AISI 1025 36 ksi 55 ksi 29 x 10^3 ksi Aluminum 2014 T6 53 ksi 60 ksi 10.8 x 10^3 ksi Aluminum 6061 T4 16 ksi 30 ksi 9.9 x 10^3 ksi Ti-6AL-4V 126 ksi 134 ksi 16 x 10^3 ksi You have a bar of AISI 4130 steel, a bar of Aluminum 6061 T4, and a bar of Ti-6AL-4V. All of the bars have identical cross section areas of 1 in^2. An axial stress of 20 ksi is placed on each of the bars. Which bar will yield? AISI 4130 Steel Aluminum 6061 T4 Ti-6AL-4V All of the bars will yield
Material Sy Sut E AISI 4130 100 ksi 125 ksi 29 x 10^3 ksi AISI 1025 36 ksi 55 ksi 29 x 10^3 ksi Aluminum 2014 T6 53 ksi 60 ksi 10.8 x 10^3 ksi Aluminum 6061 T4 16 ksi 30 ksi 9.9 x 10^3 ksi Ti-6AL-4V 126 ksi 134 ksi 16 x 10^3 ksi You have a bar of AISI 4130 steel, a bar of Aluminum 6061 T4, and a bar of Ti-6AL-4V. All of the bars have identical cross section areas of 1 in^2. An axial stress of 20 ksi is placed on each of the bars. Which bar is the strongest? AISI 4130 Steel Aluminum 6061 T4 Ti-6AL-4V All of the bars have the same strength
A section of a rotating shaft is under an alternating bending moment of 70NM and a torque of 35NM. The yield strength of the material is 560 MPa and the ultimate tensile strength of the material is 700 MPa. The estimated actual endurance strength is 210 MPa. Stress concentration factor is 1.5 for well rounded fillet. Design Factor = 2. The minimum diameter of the section of the shaft is: (Use mm as the unit for your answer)