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

What is a steam turbine diaphragm, Steam turbine comprises of stages, numbe...

Steam turbine comprises of stages, number and size of the stages depends upon the break horsepower of the turbine. The stage has set of moving and fixed blades. The moving blade

find the machine fraction, Two machining operations, A (3 minutes per part...

Two machining operations, A (3 minutes per part) and B (10 minutes per part), are performed sequentially to manufacture a part. Machines A and B produce 5% and 6% defective items,

Diesel cycle - thermodynamics, Diesel Cycle - Thermodynamics: Diesel c...

Diesel Cycle - Thermodynamics: Diesel cycle is also called as the constant pressure cycle as all addition of heat takes place at constant pressure. The cycle of operation is s

The aligned dimension command, The Aligned Dimension Command You can us...

The Aligned Dimension Command You can use this command to generate aligned dimensions. These are dimensions along inclined lines which cannot be dimensioned with the DIMLINEAR

Define maximum allowable working pressure, Q. Define Maximum Allowable Work...

Q. Define Maximum Allowable Working Pressure? The MAWP to be marked on the Section VIII nameplate is defined as the maximum gauge pressure permissible at the top of a completed

Determine the carbon content of steel, Determine the carbon content of stee...

Determine the carbon content of steel: A hypoeutetoid steel which was cooled slowly from γ-state to room temperature was found to contain 10% eutectoid ferrite. Suppose no cha

Array, sorting order of arra

sorting order of arra

Explain straight line mechanism, a) Illustrate with the help of neat sketch...

a) Illustrate with the help of neat sketch any three straight line mechanism. b) Describe Degree of Freedom and prove the relation for Grumbler's equation.

The auto component sector-automobiles industry growth , The auto component ...

The auto component sector has also posted significant growth of 20 percent in 2003-04, and achieved a sales turnover of Rs. 30,640 crore (US$ 6.7 billion). Further, there is a pote

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