Discover the angle of twist - uniformly varying shaft, Mechanical Engineering

Discover the angle of twist - uniformly varying shaft:

A uniformly varying shaft of length 2 m is subjected to a torque of 2 kN-m. The diameter at the ends shall be 60 mm and 120 mm. If G = 80 kN/mm2, discover the angle of twist. If the average diameter is utilized in the estimate of angle of twist, what is the percentage error?

Solution

d1 = 60  mm;   d2 = 120 mm

R1 = 30 mm;    R2 = 60 mm

T = 2 kN-m = 2 × 103 N-m,     l = 2 m

G = 80 kN/mm2 = 0.8 × 1011 N/m2

1515_Compute the ratio of the torque4.png

=2 × (2 × 10)3 × 2/ (3π× 0.8 × 1011) (( 0.032  + 0.03 × 0.06 + 0.062 )/ (0.033 × 0.063))

= 0.011 radians

If average diameter is used :

d = 60 + 120 /2 = 90 mm

J =  (π/32) d 4  = π (0.09)4  = 6.44 × 10- 6 m4

∴          θ2 = Tl / GJ =   ((2 × 103 ) (2) )/((0.8 × 1011 ) (6.44 × 10- 6 )) = 0.008 radians

% error = ((θ1 - θ2 )/ θ1 ) × 100

=( (0.011 - 0.008) /0.011 )× 100 = 27.3%

Posted Date: 1/21/2013 4:58:13 AM | Location : United States







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

Write discussion on Discover the angle of twist - uniformly varying shaft
Your posts are moderated
Related Questions
The EV is to be used for city transportation, it should carry a maximum total load of 325 kg (passengers and cargo). The battery back used will be 365 kg, 44 kilowatt hours lithium

Comparison between work and heat - thermodynamics: There are a number of similarities between heat and work. 1. Both heat and work are transient phenomena. The systems do n

Elongation due to self weight of uniform tapered cone bar

Example of Manufacturing Lead Time (MLT) A certain part is generated in a batch size of 100 units. The batch should be routed through five operations to complete the processin

What is Plain Concrete Footing? Plain Concrete Footing: Footings carrying relatively light loads are constructed with plain concrete. You have already seen a plain concrete

Fixed Support: At such support beam end is not free to translate or rotate at the fixed end there are three reaction horizontal reaction ( R H ), a vertical reaction ( R V ), an

Evaluatio n the Enthalpy of Steam: Let h f   = Heat of liquid or sensible heat of water in KJ/kg h f g   = Latent heat of vaporization of steam in KJ/kg t

what is surging in turbo machines subject

Temporary Stone Scuppers: In hill roads, it is customary to cut the roads from the hill-face and to open up the road immediately thereafter to traffic. Further improvements s