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

Governors, What do you mean by sensitivity in a governor?

What do you mean by sensitivity in a governor?

Deteremine the birth of iges, Normal 0 false false false ...

Normal 0 false false false EN-IN X-NONE X-NONE MicrosoftInternetExplorer4

What do you mean by newtons rings, When a Plano-convex lens of large radius...

When a Plano-convex lens of large radius of curvature is placed on a glass plate with its convex surface, a thin air film of gradually increasing thickness is formed between the up

Advantages of resistance welding, Advantages of resistance welding   ...

Advantages of resistance welding   1. Resistance welding is very fast compared to arc welding. 2. Almost any combination of metals can be resistance welded provided necessa

How is bearing capacity of soil varied, How is bearing capacity of soil var...

How is bearing capacity of soil varied? The bearing capacity of soil varies not only with its strength but also with the magnitude and distribution of the load. When a load Q,

THERMODYNAMICS, WHY THE WATER INSIDE ANY PLASTIC TUBE GETS EXPAND WHEN THEY...

WHY THE WATER INSIDE ANY PLASTIC TUBE GETS EXPAND WHEN THEY FROZEN?

What could be the characteristics of tool materials, (a) What could be the ...

(a) What could be the characteristics of tool materials. (b) Describe several tool materials with their composition.

Find out moment of inertia, Find out Moment of Inertia: Find out Momen...

Find out Moment of Inertia: Find out Moment of Inertia of an I shaped area around its centroidal axis as illustrated in Figure.  Solution  (i)        The area of

Heat and mass transfer, mathematically example heat conduction through com...

mathematically example heat conduction through composite cylindrical

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