A shaft supported on bearings 200mm apart transmits 187 kW at 200rpm. The maximum bending moment is 2712 N-m. The allowable shear stress is 53.3MPA and the allowable normal stress is 46.7 MPa because of unusual loading conditions. Find the shaft diameter.

A shaft supported on bearings 200mm apart transmits 187 kW at 200rpm. The maximum bending moment is 2712 N-m. The allowable shear stress is 53.3MPA and the allowable normal stress is 46.7 MPa because of unusual loading conditions. Find the shaft diameter.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

See similar textbooks

Related questions

Q: A hollow aluminium shaft of 80 mm outer diameter & 60 mm inner diameter is rotating @ 5 Hz when…

Q: A shaft supported on bearings, 200 mm apart transmits 187 kW and 200 rpm. The maximum bending moment…

A: Given: l=200mmP=187 kWN=200 rpmMmax=2712 N.mτmax=53.3 MPaσmax=46.7 MPa

Q: A solid shaft 2 inch in diameter is subjected into two torques .If the total angle of twist is eight…

A: Givend=2inT1=200 lb ft=200×12=2400 lb in

Q: 3.84 ksi

A: Calculating the axial stress (σ_axial):The axial stress is calculated by dividing the axial load (P)…

Q: A solid shaft of 20 mm radius is transmitting 2.5 kW with the frequency of 50 Hz. Calculate the…

Q: Derive the Shear Stress and angular deflection for the shaft Shaft is steel with Mohulus rigidity of…

Q: Find the diameter of the solid shaft. Torque = 190 kNm Maximum shear stress = 210 MN/m2

A: Substitute the given values in the Maximum shear stress equation to get the diameter of the shaft.

Q: Calculate the greatest shear stress in a hollow shaft with an outer diameter of 400 mm and an inner…

A: To find: The maximum shear stress and the angle of twist. Given: The torque applied is T=450 N.m.…

Q: A tubular steel shaft transmits a power of P = 450 hp at a speed of 3000 rpm. Determine the maximum…

Q: A solid shaft is subjected to a twisting moment of 350 kNm. If the angle of twist is 5° per meter of…

Q: shaft of 53 mm diameter is subjected to a bending moment of 1477158 N-mm and a torque T N-mm. If the…

Q: The figure below show a stepped shaft in torsion. Compute the maximum shear stress at the step when…

Q: A tubular steel shaft transmits a power of P = 450 hp at a speed of 3000 rpm. Determine the maximum…

Q: n outside diameter of 70 m and :

A: here outer dia (70m) is >>>> inner dia (50mm). so the polar moment of inertia almost…

Q: maximum shear stress that is generated through the shaft.

Q: A solid circular shaft of diameter 60mm is subjected to an axial stress of 20 MPa. It is further…

Q: Determine the size of the shaft,

A: Given: P=22 kW N=550 rpm shear stress=42 MPa Tensile/compressive stress=56 MPa P=900 N L=2.5 m To…

Q: Q3 A hollow shaft with an external diameter of 160 mm transmits a maximum torque of 16 kN.m. If…

Q: Let's consider a solid circular shaft subjected to the torque loads as shown. Determine the minimum…

Q: A hollow shaft having 100 mm and 60 mm outside and inside diameter, respectively is subjected to a…

A: Given data: do=100 mmdi=60 mmT=6 kN.mM=2.5 kN.m Need to determine the maximum bending stress…

Q: A hollow shaft transmits 9 MW at 300 rev/min. It is supposed that the maximum allowable stress is…

A: Given: The power transmitted by the shaft is P=9 MW. The maximum allowable shear stress is ζ=70…

Q: Calculate the shaft diameter and torsion angle since the maximum torsional moment is 150 Nm for a 1…

Q: 2 A hollow simple supported shaft 3m made of steel with di/do of 0.6. The shaft is subjected to a…

Q: A mild steel shaft of 50mm diameter is subjected to a bending moment of 1.9kNm. If the yield point…

A: Introduction The maximum shear stress hypothesis states that a material will fail or yield if its…

Q: maximum shear stress in the shaft

A: Given; Motor driving a solid circular steel shaft transmits, P =40KW Speed,N=500 rpm If the diameter…

Q: For the circular shaft (G=12×106 psi) shown below: a. Compute the reaction torque and draw the…

A: According to the given data Segment Diameter(in) Hollow diameter(in) Length(in) G(psi AB 6 4…

Q: 12 mm -450 mm-

A: For solution refer below images.

Q: Find the diameter of a solid steel shaft to transmit 43kW at 5.25 rps. The ultimate shear stress for…

A: The shaft is a device which is used to transmit power from one place to another. The torque…

Q: 3.1.2 If the allowable shear stress is 30MPA, what is the maximum power that can be 3.1 The drive…

Q: A solid shaft 18 m Length is to transmit power at 2200 rpm. If the shaft is stressed to 275 MPa when…

Q: A hollow shaft transmits 7 MW at 200 rev/min. It is supposed that the maximum allowable stress is…

A: Given, P=7 MW=7×106 WN=200 RPMτ=70 MN/m2=70×106 N/m2G=80 GN/m2=80×109 N/m2θL=0.40/m=0.4×π180…

Q: (Q1 A hollow shaft has to transmit 6 MW at 150 rev/min. The maximum allowabl て 180 L=1 stress is not…

Q: A hollow circular shaft transmits 25 horsepower while operating at a rate of 180 rev/min. If the…

Q: 1. A shaft is made from AISI 1040 hot rolled steel with Su = 496 MPa, Sy = 290 MPa with 18%…

Q: A shaft is used to transmit 24 kw at a speed of 1,779 rev/min. Using a maximum allowable shear…

Q: Find the twisting moment in a solid shaft 125 mm diameter when the angle of twist is 0.5 degree on…

A: Introduction When a…

Q: A drive shaft is made of solid steel. It is desired to transmit 2.5 hp at 150 rpm. The allowable…

Q: i need the answer quickly

Q: 2- Compare the weight of equal lengths of hollow and solid shafts to transmit a torque T for the…

Concept explainers

Design of Shafts and Shaft Components

The shaft is basically defined as the machine element that rotates, is in circular cross-section, it is majorly used to transfer the power from one part of the system to another, or from a power generating machine to a power absorbing machine. The shaft is supported on bearings and is rotated with the help of a set of gears or pulleys that are used for the power transmission. Bending moment, torsion, and an axial force act upon the shaft. Designing of shaft primarily involves determining stresses at a critical point in the shaft that is arising due to loading.

Question

A shaft supported on bearings 200mm apart transmits
187 kW at 200rpm. The maximum bending moment is
2712 N-m. The allowable shear stress is 53.3MPA and
the allowable normal stress is 46.7 MPa because of
unusual loading conditions. Find the shaft diameter.

Expert Solution

This question has been solved!

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

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 2 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

The steel shaft of a socket wrench has adiameter of 8.0 mm and a length of 200 mm (seefigure).If the allowable stress in shear is 60 MPa, whatis the maximum permissible torque Tmax that may beexerted with the wrench?Through what angle f (in degrees) will the shafttwist under the action of the maximum torque?(Assume G = 78 GPa and disregard any bending ofthe shaft.)
4. The shaft shown below, is made of ASTM-A-36 steel with Sy = 250 MPa and p = 7.86 g/cm³. The bearings at A and B only carry vertical loads. A 6m W X -ØD T As shown in the figure, the shaft is carrying a torque T = 400 Nm and its own weight per unit length w. a. Determine the location of maximum stress. b. Using the distortion energy theory, find the diameter of the shaft, D, if the desired safety factor is 2.1. C. Using the result from b. what would be the safety factor if the max shear theory is used?
don't forget to DRAW THE FIGURE. Make your solution clean and clear. THANKS.
A solid shaft is subjected to a twisting moment of 150 kNm. If the angle of twist is 8º per meter of the shaft and the shear stress is not to exceed 550 MPa. Determine the suitable shaft diameter by comparing the strength design and rigidity design. Also, determine the maximum shear strain acting on the shaft. Take G 250 GPa. Diameter of shaft based on Strength design is in mm Diameter of shaft based on rigidity design is in mm The sutable Diameter of the shaft is in mm The maximum shear strain is
3. Find the diameter of a solid steel shaft to transmit 27 kW at 300 r.p.m. The ultimate shear stress forthe steel may be taken as 360 MPa and a factor of safety as 8. If a hollow shaft is to be used in placeof the solid shaft, find the inside and outside diameter when the ratio of inside to outside diameters is0.5
Calculate the normal stress and the shear Stress at Points C and D The shaft is hollow; inner and outer radlus values are shown below on paper. N = 1000N M = -900N V = -650N Torque = 90N - Mr = 13Mm
A mild steel shaft 25kw at 300rpm.It carries the size of the shaft,if the allowable shear stress is 46MPa and the maximum tensile or compressive stress is not to exceed 57MPa. Design the shaft by calculating (A) Reaction on the bearings (B) Maximum bending moment on the shaft (C) suitable diameter for the shaft
Q7
A steel propeller shaft is to transmit 4.5 MW at 3 Hz without exceeding a shearing stress of 60 MPa or twisting through more than 1° in a length of 26 diameters. Compute the proper diameter if G = 83 GPa.
M D d T M. Pa A circular shaft having diameters D and d and a groove of radius r (with M = 0 and P = 0) is made of steel with the allowable shear stress tall. Find the maximum torque I that can be transmitted by the shaft. Given: D = 28mm, d = 20mm, r = 4mm, and tall = 250 MPa. Please help with this question. The answer should be 157.1 Nm
A hollow shaft has to transmit 5MW at 150rev / min The maximum allowable stress is not to exceed 70 MN / m² nor the angle of twist 0.3 ° per mater length. If the outsida diameter of the shaft is 300 mm find the minimum thickness of the hollow shaft to satisfy the above conditions. G = 80 GN / m²
Problem: 1 A line shaft rotating at 55 RPS is to transmit 28 kW. The shaft may be assumed to be made of mild steel with an allowable shear stress of 85 MPa. Determine the diameter of the shaft, neglecting the bending moment on the shaft.