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
Evaluate stress in fibre: Example, the matrix material can be stressed to its full strength of 80 MPa, calculate the allowable % of broken fibres. What will be the stress in f

Problem:   The following machine component is loaded as shown.  It is fabricated from Al 6061-T6.   Determine the analytical solution to this problem and compare result

I have an assignment on kinematic chains.I have to tell the type of chain whether it is locked,constrained or unconstrained?? I am facing problem in counting number of joints,pair

(a) Split up the harmonic x = 8 sin(ωt + 45°), into two harmonic motions, one of which has amplitude of 10 and phase difference zero. (a) A body is subjected to two harmonic mot

Calculate Heat transfer through cylinder wall: Calculate change in entropy and heat transfer through cylinder walls, if 0.4m 3 o f a gas at the pressure of 10bar and 20

I have a project due in 20 hours and I need help please.

Composite materials consist of two or more distinct components.  Generally we refer to a matrix and a reinforcement .  The reinforcement can be in the form of fibres (continuous

Applied load shall elongate the spring: Design a close coiled helical spring which shall deflect 100 mm under a load of 600 N. The radius of the coil is 6 times the wire diame

ELECTRO SLAG WELDING   This process is similar to the electro gas welding process designed for making butt welding in the vertical position in one single pass and the plate

Determine- cutting speed, Material removal rate and Machining time. A 150 mm long 12.7 mm diameter stainless steel rod is being turned to 12.19 mm diameter on a centre lathe.