Discover the angle of twist, Mechanical Engineering

Discover the angle of twist:

Discover the diameter of the shaft needed to transmit 60 kW at 150 r.p.m., if the maximum torque is possible to exceed the mean torque by 25% for a maximum permissible shear stress of 60 N/mm2. Discover also the angle of twist for a length of 2.5 metres.

Take G = 8 × 104 N/mm2.

Solution

Here,   P = 60 kW = 60 × 103 W

N = 150 rpm,   Tmax = 1.25 Tmean,  τm  = 60 N/mm2

l = 2.5 m = 2.5 × 103 mm2

 We know,

P = 2πNT /60

60 ×103  = (2π ×150 × T)/60

T = 3819.7 N m = 3.82 ×106 N mm, T is the mean torque

Tmax = 1.25 Tmean = 1.25 × 3.8197 × 106 = 4.746 ×106 N mm

T max =  (π/16 ) τm        d 3                   

4.7746 × 106  = ( π /16 )× 60 × d 3

d 3  = 4.7746 × 106× 16 / π× 60

∴          d = 74 mm

T / J = Gθ/ l

4.7746 ×106 / (π/32) × (74)4  =           (8 ×104/2500 )× θ

θ = 0.0507 radians

θ = 2° 54′

Posted Date: 1/21/2013 2:46:10 AM | Location : United States







Related Discussions:- Discover the angle of twist, Assignment Help, Ask Question on Discover the angle of twist, Get Answer, Expert's Help, Discover the angle of twist Discussions

Write discussion on Discover the angle of twist
Your posts are moderated
Related Questions

An aircraft moving with speed of 1200 Km/hr, uses simple air refrigeration cycle for air conditioning. The ambient temperature and pressure are 0.35 bar and - 10 o C respectively.

The Radial Dimension Commands There are 2 main radial dimension commands, DIMDIAMETER & DIMRADIUS. Both commands result in  similar looking dimension so AutoCAD automatically i

Q. Show Geographic constraints of the plant? The layout of process units will be influenced by the geographic constraints of the site. Spacing is required between plant facilit


Lubrication Complaints If the engine oil level is too low, check for the following things: External oil leaks Worn out piston rings Worn out valve guide and/o

A piece of Al weighing 6 kg and initially at a temperature of 300 O C is suddenly immersed in a fluid at a temperature of 20 O C. The convectice heat transfer coefficient is 58 W/m

Determine the stability of the closed loop system whose open loop transfer function is Use the Nyquist criterion

hot working vs cold working

A Composite from Multidirectional Laminates                                              Figure: A Composite from Multidirectional Laminates Glass fibres usually u