Determine the diameter of wire - close coiled helical spring, Mechanical Engineering

Assignment Help:

Determine the diameter of wire - close coiled helical spring:

A close coiled helical spring has to absorb 100 N-m of energy while compressed to 10 cm. The coil diameter is 10 times the wire diameter. The number of coils is 12. Determine the diameter of wire, mean radius & the maximum shear stress.

Take G = 80 GPa.

Solution

We know

U = (½) W Δ

∴          100 × 103 = (1 /2 )× W × 100

∴          W = 2000 N

D = 10 d   or   R = 5 d

G = 80 GPa = 80 × 103 MPa = 80 × 103 N/mm2

Δ= 64 W R3 n/ Gd 4

∴          100 =6 4× 2000 × (5d ) 3 × 12 /  (80 × 103 ) d 4

or         d = 24 mm

R = 5d = 5 × 24 = 120 mm

τ max = 16 W R / π d 3

= 16 × 2000 × 120/ π (24)3  = 88.4 N/mm2


Related Discussions:- Determine the diameter of wire - close coiled helical spring

Define the moving boat method, Q. Define the Moving boat method? Moving...

Q. Define the Moving boat method? Moving boat method has been more recently evolved and tested in the U.S.A. and holds promise in measurement of discharge of big rivers and tid

Strength of materials, A shaft transmits 200kw at 180rev/min between a prim...

A shaft transmits 200kw at 180rev/min between a prime mover and a water pump. calculate the strain energy stored perunit length of the shaft and hence the angle of twist in the sha

Show continuity equation in cylindrical coordinates, Show continuity equati...

Show continuity equation in cylindrical coordinates. Also list the assumptions made. A fluid flow is given by V = xy 2 i - 2yz 2 j - (zy 2 - 2z 3 /3) k Determine acceleration

Example of wedge friction, Example of Wedge friction: T wo blocks A...

Example of Wedge friction: T wo blocks A and B are employed to raise load of 2000 N resting on another block C by the application of force P as shown in the figure g

Theory of machines, What'' is balancing and vibration in machines Need of ...

What'' is balancing and vibration in machines Need of balancing? Causes of vibration and their harmful effects and remedies?

Foreign inclusions-slag inclusions-oxide films in fusion wel, Foreign Inclu...

Foreign Inclusions   Slag inclusions This is formed due to entrapment of oxides and non metallic solid material in the weld deposit or between the weld metal and base met

What is injection moulding, Q. What is Injection moulding? An important...

Q. What is Injection moulding? An important industrial method of producing articles of thermoplastics is injection moulding. The moulding material is loaded into a hopper from

Brittle fracture, Dear Sir I would to know what is the min. time required...

Dear Sir I would to know what is the min. time required for carbon steel tube A214 @ zero C to 50 C

Find the magnitude of force, Find the magnitude of force: Q: The two ...

Find the magnitude of force: Q: The two parallel forces are acting at point A and B respectively is equivalent to force of  100 N acting downwards at point C and coupl

Geometric defects-undercut-excess reinforcement-distortion, Geometric Defec...

Geometric Defects   Undercut Undercut represents a depression into the base metal adjacent to the toe of the weld and if it forms a notch, it is a potential danger for th

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