Determine maximum shearing stress in shaft, Mechanical Engineering

Determine maximum shearing stress in shaft: 

A propeller shaft 100 mm in the diameter, is 45 m long, transmits 10 MW at 80 rotation per minute. Determine maximum shearing stress in shaft. Also compute the stress at 20 mm, 40 mm, 60 mm and 80 mm diameters. Demonstrate the stress variation.

Sol.:  

d = 100mm

L = 45m

P = 10MW = 10 × 106  W

N = 80RPM

Τmax = ?

τ20 = ?,  τ 40 = ?,  τ 60 = ?,  τ 80 = ?

By using the relation

P = 2  .N.Tmax/60 watts

10 × 106 = 2  .80.Tmax/60

Tmax = 1193662.073 N                                                                                       ...(i)

For solid shaft    τ = 16Tmax/  d3

τ = 16(1193662.073)/[  (100)3]

τ= 6.079 N/mm2

This is shear stress at outer surface that is;  τ100  = 6.079 N/mm2                                             .......ANS

Now stress is varies linearly along diameter of shaft, the shear stress at inner diameter of

the shaft that is; τ20 =  τ20   × d20/d100  = 6.079 × 20/100 = 1.22 N/mm2

τ100 = 1.22 N/mm2                                                                                                      ......ANS

τ40 =  τ100 × d40/d100  = 6.079 × 40/100 = 2.44 N/mm2

τ40 = 2.44 N/mm2                                                                             .......ANS

τ40 =  τ100 × d60/d100  = 6.079 × 60/100 = 3.66 N/mm2

τ40 = 3.66 N/mm2                                                                              .......ANS

τ40=  τ100 × d80/d100  = 6.079 × 80/100 = 4.88 N/mm2

τ40= 4.88 N/mm2                                                                                .......ANS

Posted Date: 10/27/2012 1:23:42 AM | Location : United States







Related Discussions:- Determine maximum shearing stress in shaft, Assignment Help, Ask Question on Determine maximum shearing stress in shaft, Get Answer, Expert's Help, Determine maximum shearing stress in shaft Discussions

Write discussion on Determine maximum shearing stress in shaft
Your posts are moderated
Related Questions
Necessity of Lubrication To lubricate the various parts of engine. The supplementary function of lubrication is to cool and clean the engine parts. To prevent en

Air at 1 atm, 300K, and Re = 50,000: a. Flow across the cylinder with a diameter of 10 cm. b. Flow inside a tube with a diameter of 10 cm. c. flow along the flat plate of

Are the types of pumps selected (base mounted, in-line)? Locate pump on discharge side of boiler. Flexible connector used. Valving indicated, isolation valve on suction and dis

Concept of plane stress: Define the concept of plane stress. Sol.:   In cubical element of strained material is acted on by stresses acting on only 2 pairs of parallel plane

(Hydrostatic pressure on curved 3-D surfaces) A shark tank in the aquarium has a hemispherical glass viewing "bubble"  jutting into the water from the side wall. The radius of

Tungsten Inclusions Tungsten inclusion is a discontinuity found only in TIG welding. Particles of tungsten from the electrode can be embedded in a weld when improper welding proc

Question The three freight cars are rolling along the horizontal track with the velocities shown in the Figure. After the impacts occur the three cars become coupled together a

Illustrates about the effect of wall movement on earth pressure? Effect of wall movement on earth pressure About fifty years ago Terzaghi conducted a series of tests on larg

how it is use to determine the wavelenth of He-Ne laser?

Cantilever beam - shear force diagrams: Illustrate the shear force & bending moment diagrams for the cantilever beam illustrated in Figure. Figure Solution