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

Heat transfer situation, The aim of this project is for you to discover how...

The aim of this project is for you to discover how to use a spreadsheet to "model" a typical engineering problem, in this case a heat transfer situation. And to discover how this m

Project in Automobiles or Robotics, I am studying in Final Year of Engineer...

I am studying in Final Year of Engineering(Mechanical) and I would like some help for the project. It will be helpful if you suggest some project related to Automation.

Process of steam generation unit, Q. Process of Steam generation unit? ...

Q. Process of Steam generation unit? BFW from water treatment area is sent to the BFW Booster pumps at temperature around 105°C. The BFW is then heated and fed to the HP BFW Pu

What do you mean by filler metals, Q. What do you mean by Filler metals? ...

Q. What do you mean by Filler metals? Use filler metal that is similar in chemistry, corrosion resistance, and mechanical properties of the base metal being welded. Filler m

Explain the base of radial drilling machine, Explain the Base of radial dri...

Explain the Base of radial drilling machine The base of the drilling machine handles the entire machine and when bolted to the floor, gives for vibration-free operation and bes

Find the minimum weight to keep equilibrium, Find the minimum weight to kee...

Find the minimum weight to keep equilibrium: A belt supports the two weights W 1 an d W 2 over a pulley as shown in the figure given below. If W 1 = 1000N, fi

Water overflow in the sink, Water flows into the sink shown in figure 5 at ...

Water flows into the sink shown in figure 5 at a flow rate of 8 L/min. If the drain is closed, the water will eventually flow through the overflow drain holes rather than over the

Varignon theorem - mechanics, Varignon theorem: State Varignon's theo...

Varignon theorem: State Varignon's theorem. How it helps in determining of the moments? In which type of condition is it used? Sol.: Varignon's theorem also called Law

String vibration fixed ends, String Vibration Fixed Ends In case of the...

String Vibration Fixed Ends In case of the vibrations of a string, both its ends at  x = 0  and  x = L  may be permanently fixed;  y (x = 0) = 0 , and  y (x = L) = 0 at all  t

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