Determine the greatest load carried by the composite springs, Mechanical Engineering

Determine the greatest load carried by the composite springs:

A composite spring contain two close-coiled helical spring associated in series, each spring has 10 coils at a mean radius of 15 mm. Determine the diameter of one if the other is 2.5 mm and the stiffness of the composite spring is 750 N/mm. Determine the greatest load that may be carried by the composite springs, and the corresponding extension, for a maximum shearing stress of 200 N/mm2.

G = 80 GPa.

Solution

For spring in series, W is similar.

 Δ = Δ1 + Δ2       --------- (1)

1/ K  =  1/ K1  +   1/ K2                                 --------- (2)

Δ= 64 W R3 n / Gd 4

Δ1 =64 W × 153 × 10 / (80 × 103 × 2.54)

W/ Δ1 = K1 = 1.45 N/mm       ---------- (3)

 K = 750 N/m = 0.75 N/mm ------- (4)

Δ2 =64 W × 153 × 10/80 × 103 × d 4

W/ Δ2 = K2  = d4 (0.037)                             ----------- (5)

By using (2), (3), (4) and (5), we obtain

1/0.75  = (1/1.45 )+1/ (0.037 × d 4)

∴          d = 2.55 mm

τmax      = 16 W R /π d3

⇒         200 = 16 W × 15 /π (2.5)3

∴          W = 40.9 N

 Total extension, Δ=    W /K = 40.9/0.75 = 54.5 mm

Posted Date: 1/21/2013 1:35:43 AM | Location : United States







Related Discussions:- Determine the greatest load carried by the composite springs, Assignment Help, Ask Question on Determine the greatest load carried by the composite springs, Get Answer, Expert's Help, Determine the greatest load carried by the composite springs Discussions

Write discussion on Determine the greatest load carried by the composite springs
Your posts are moderated
Related Questions

Q. Show Construction Subcontractor Responsibilities? The Supplier or Construction Subcontractor is responsible for: • Employing qualified PMI technicians • Performing PMI

Example of Reduce system to a single force and couple: A system of parallel forces is acting on rigid bar as shown in the figure given below. Reduce this system to  a sing

Explain Wilson HArtnell Governor

teori heat transfer conduction

What is Tube Drawing - cold drawing processes This kind of drawing is very similar to bar drawing process and in majority of cases it is accomplished by the use of a draw be


Find out the angle of force: Q: A uniform wheel having 60 cm diameter weighing 1000 N rests against rectangular obstacle   15 cm high. Find least force required which when ac

(a) Describe the types of wear and causes of wear. Draw figures whenever necessary. (b) Describe any 4 cutting tool materials in detail. (c) Describe the various reasons for

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