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

Determine the maximum vertical load, It shows the test rig for the assignme...

It shows the test rig for the assignment of an indeterminate structure at the Materials Lab. The indeterminate structure consists of three pin-jointed members made of the same stee

Calculate the spindle speed by (a) hss tool (b) carbide tool, Calculate the...

Calculate the Spindle Speed by (a) HSS tool (b) Carbide Tool Calculate the spindle speed (N) if a C 20 steel job of 50 mm dia is to be turned by (a) HSS tool and (b) Carbide T

Find out the moment of inertia of a semicircle, Find out the moment of ine...

Find out the moment of inertia  of a semicircle: Find out the M. I. of a semicircle ABM around its periphery AB and also around centroidal axes x and y as illustrated in Figur

Heat faster steel copper or brass, Which conducts heat faster steel copper ...

Which conducts heat faster steel copper or brass? Ans) Copper conducts heat faster than steel or brass. Any material that is good for conducting heat is also good for electricit

Calculate the safe load using eulers formula, A 1.5m long column has circul...

A 1.5m long column has circular cross-section of 5cm diameter. One of the end of the column is fixed in the position and direction and other end is free. Taking factor of safety as

Internal combustion engine - thermodynamics, Internal combustion engine - T...

Internal combustion engine - Thermodynamics: Internal combustion engine is popularly known as I.C. engine, is heat engine that converts the heat energy released by the combust

What is raft foundation, What is raft foundation? A raft or mat can be ...

What is raft foundation? A raft or mat can be considered as a combined footing which covers the entire building area and supports all columns and walls. Such a foundation may c

EM2013KEN2401MECH, Hi. I have made a payment for the above ticket number. W...

Hi. I have made a payment for the above ticket number. Will I get all the workings out too? [email protected]

Heat treatment, what is properties , uses and process ?

what is properties , uses and process ?

Corrosion resistance of the nickel-based alloys, Q. Corrosion resistance of...

Q. Corrosion resistance of the nickel-based alloys? The corrosion resistance of the nickel-based alloys can also be significantly affected by other variables such as velocity a

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