Determine the axial extension along a load, Mechanical Engineering

Assignment Help:

Determine the axial extension along a load:

An open coiled helical spring is created having 10 turns of a mean radius of 60 mm. The wire diameter is 10 mm and coils make an angle of 38o along a plane perpendicular to the axis of the coil. Determine

 (1) the axial extension along a load of 200 N,

 (2) the angle of rotation of free end.

E = 200 GPa, G = 80 GPa.

Solution

n = 10, R = 60 mm, d = 10 mm, α = 38, E = 200 GPa, G = 80 GPa

(a) Axial Extension

 Δ= 64 W R3 sec α/d4 ( cos2 α/G +2 sin 2 α /E)

=64 (200) (60)3 (10) sec 30 / 104 ((cos2 30/80 × 103)) + (2 sin 2 30 /200 × 103 ))  = 36.7 mm

(a) Angle of Rotation at Free End

φ= 64 W R3 sin α/d4 ((1/G -  2/E))

=64 (200) (60)3 (10) sec 30/104 ( 1/ (80 × 103)  - 2/ (200 × 103)) = 0.0567 radian


Related Discussions:- Determine the axial extension along a load

Illustrate the euler-poincare formula, The Euler-Poincare Formula  The ...

The Euler-Poincare Formula  The Euler-Poincaré formula describes the relationship of the number of vertices, the number of edges and the number of faces of a manifold. It has b

Explain machining allowance, Q. Explain Machining allowance? Machining...

Q. Explain Machining allowance? Machining allowance or finish allowance indicates how much larger the rough casting should be over the finished casting to allow sufficient mat

Determine the wire diameter of the inner spring, Determine the wire diamete...

Determine the wire diameter of the inner spring: In a compound helical spring, the inner spring is arranged in and concentric with the outer one, but is 10 mm shorter. The out

Steps of servicing -washing and drying a motorcycle, Steps of servicing   ...

Steps of servicing   Bring the motorcycle in the washing bay. Clean the motorcycle with recommended soap solution and soft sponge. Wash the motorcycle with a jet o

Illustrate the term directional solidification, Describe some special kind ...

Describe some special kind of patterns and indicate the production circumstances in which each would be need. Illustrate the term Directional solidification as applied in castin

Painting of structural components of skid, Q. Painting of structural compon...

Q. Painting of structural components of skid? Sandblasting and priming shall be carried out prior to assembly, and shall include all bolt holes, flange faces, etc. Flange gaske

What is the make group of euler operators, The Make Group of Euler Operator...

The Make Group of Euler Operators The Make group consists of four operators for adding some elements into the existing model creating a new one, and a Make-Kill operator for ad

Define specific volume (v) of System, Define Specific Volume (v) It is ...

Define Specific Volume (v) It is illustrated as volume occupied by the unit mass of the system. Its unit is m 3 /kg. Certain volume is reciprocal of density. ν = v/m; m 3 /k

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd