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

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

Posted Date: 1/21/2013 1:12:56 AM | Location : United States







Related Discussions:- Determine the diameter of wire - close coiled helical spring, Assignment Help, Ask Question on Determine the diameter of wire - close coiled helical spring, Get Answer, Expert's Help, Determine the diameter of wire - close coiled helical spring Discussions

Write discussion on Determine the diameter of wire - close coiled helical spring
Your posts are moderated
Related Questions
METAL TRANSFER The continuously fed electrode wire is melted in the arc heat and the droplets thus formed at the wire tip are transferred to the weld pool. The way in which mater

Classificatio n of I.C. Engines: IC engines are classified as follows: 1 . Nature of thermodynamic cycles as:  Otto cycle engine, Diesel cycle engine and Dual combus

A child is twirling a 0.0106 kg ball on a string in a horizontal circle whose radius is 0.096 m. The ball travels once around the circle in 0.540 s. (a) Determine the centripeta


Primitive Instancing In primitive instancing, the modeling system defines a set of primitive 3D solid shapes that are relevant to the application area. Primitive instances are

What is maximum shear stress in mechanics of materials ? Derivation for maximum and minimum shear stress seperately.

Types of couple: Explain about different types of couple?  Sol.: There are mainly two types of couples: 1 . Clockwise Couple   A couple whose tendency

Fluid Friction: Fluid friction manifests when the lubricating fluid is introduced between contact surfaces of the two bodies. If thickness of lubricant or oil between the m

Find maximum torque which can be transmitted by belt drive: A belt is stretched over the two identical pulleys having diameter D meter. The initial tension in belt throughout

Find out the velocity of the mass: A mass of weight 29.4 Newton is subjected into a time dependent force, F(t)  = (3t 3  + 5) along x direction. Find out the velocity of the