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

Instantaneous stress formula, Ask quesinstantaneous stress formulation #Min...

Ask quesinstantaneous stress formulation #Minimum 100 words accepted#

Material Science, What is tetra & octahedral voids & how are they formed ?

What is tetra & octahedral voids & how are they formed ?

Define lap or fillet joint, Lap or fillet joint Lap joint is obtained b...

Lap or fillet joint Lap joint is obtained by overlapping the plates and welding their edges. The fillet joints may  be single transverse fillet, double transverse fillet or par

Expression for condition of maximum discharge, Drive an mathmatical express...

Drive an mathmatical expression for condition of maximum discharge through the chimney. Dry saturated steam is supplied from a boiler to a steam engine at a pressure of 15 bar.

Spray up method, Spray up method In a slight variation, to suit the ne...

Spray up method In a slight variation, to suit the necessity of bigger size parts the fibre resin and rovings are fed concurrently. The fibre rovings are fed via a chopper whe

Track renewal, Track Renewal: Need for Track Renewal Normal m...

Track Renewal: Need for Track Renewal Normal maintenance is able to keep up the track standards only to a limited extent. The track gets overaged or the speeds and tr

Properties of plastic, Q. Properties of plastic? Their great variety of...

Q. Properties of plastic? Their great variety of physico- chemical and mechanical properties, and ease with they can be made into various articles have found plastic their wide

Welding of pressure parts in boilers, This section covers welding of pressu...

This section covers welding of pressure parts including those non-pressure parts when welded to pressure parts. All welding design functions necessary within the contract shall be

What do you mean by centrifugal casting, What do you mean by centrifugal ca...

What do you mean by centrifugal casting ? How are the centrifugal method classified ?

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