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
First Gear Position : When gear M1 is in mesh with gear C1 then this is first gear drive position. The gear C1 is freely attached to counter shaft, so gear C1 itself cannot rotate

Define Essentials of Milling Fixture? Strength of withstand heavy forces. Thrust should be directed towards a strong, solid structure. Cutter setting piece should b

of which material parts of ice engine are made?

Q. Define Heat for electrical resistance welding? The heat, H for electrical resistance welding is generated by passing a large electrical current ( of the order of 3000 to 100

explain the following terms in brief:- point function and path funtion


Corollaries of first law of thermodynamics: First law of thermodynamics has significant corollaries. Cor ollary 1: (First Law for process). There exists property of

Free body diagram: Sol.: In a free body diagram, the body is considered by itself and also the effect of the surroundings on the body is shown by forces and moments. Free bod

(Bernoulli equation along a streamline) Water flows from station (1) to (2) around an expanding corner pipe, 3m high. The speed along the center streamline is 10 m/s at (1) and 5

#question calculate bending force