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
Helium Helium (He) is an inert, very light monoatomic gas, of atomic weight of 4. It is obtained by separation from natural gas. Helium is refined to a purity of min.  99.99

Natural Air Cooling: The strips like extensions (fins) are integrated on the outside of the cylinder and cylinder block. These fins are designed in such a way that they can t

Q. can you explain Shell molds? These molds are prepared by pouring a mixture of sand and thermosetting resin over the heated surface of a metallic pattern, which results into

Forced Air Cooling: A fan makes a difference between natural air cooling and forced air-cooling. The fan supplies the required air to carry away heat from the engine cylinder

Explain Feed - Cutting Parameters 1. In cylindrical grinding feed is the longitude movement of the work piece per revolution. f=Feed in mm per work piece revolut

Calculate the angular deflection (in degrees) produced in a solid circular shaft of diameter 12.5mm and length 0.5 m when the shear stress is 25MPa and the shear modulus 70GPa. Wha

Explain frequency reuse In the cellular concept, service area is separated into regions called cells and the available frequency is divided among these cells. Every cellular b

Consider a fully developed laminar flow of a fluid through a 200 m long and 4 cm diameter horizontal and circular pipe. The density and the viscosity of the fluid are 1400 kg/m 3

give me assinment for Bearing material

A steel tube of 30 mm external diameter and 20mm internal diameter encloses a copper rod of 15mm diameter to which it is rigidly joined at each end. If at a temperature of 10 o C,