Calculate total deflection -two close-coiled helical springs, Mechanical Engineering

Calculate total deflection -two close-coiled helical springs:

Two close-coiled helical springs are compressed among two parallel plates by a load of 1000 N. The springs contain a wire diameter of 10 mm and radii of the coils are 50 mm and 75 mm. Each of spring has 10 coils and of the similar initial length. If the smaller spring is placed inside the larger one, calculate following

a. the total deflection, and

b. the maximum stress in each spring.

Take G = 40 GPa.

Solution

In this type of case, the springs are associated in parallel.

Δ1 = Δ2

Δ= 64 W R3 n / G d 4

 (64 W1 × 50 × n ) / Gd 4 =( 64 W2 × 75  × n) /Gd 4

∴          W1 = 3.375 W2

W1 + W2 = 1000

⇒         3.375 W2 + W2 = 1000

∴          W2 = 229 N

∴          W1 = 1000 - 229 = 771 N

Δ1 = Δ2 =64 × 771 × 503 × 10 / (40 × 103 × 104) = 6.168 mm

τ max1 = 16 W R / π d 3 = 16 × 771 × 50/ π × 103  = 196.3 N/mm2

τ max 2 = 16 W R / π d 3 = 16 × 229 × 75 / π × 103 = 87.5 N/mm2

Posted Date: 1/21/2013 1:37:42 AM | Location : United States







Related Discussions:- Calculate total deflection -two close-coiled helical springs, Assignment Help, Ask Question on Calculate total deflection -two close-coiled helical springs, Get Answer, Expert's Help, Calculate total deflection -two close-coiled helical springs Discussions

Write discussion on Calculate total deflection -two close-coiled helical springs
Your posts are moderated
Related Questions
Compute the velocity of a bar: A bar AB as shown in Figure slides so that its bottom point A has a velocity of 4 m/sec to the left along the horizontal plane. compute the velo

a) Describe productivity. Give comparison of production and productivity. b) Write down characteristics of batch production. c) What are advantages and limitations of job eva

Necessity of Lubrication To lubricate the various parts of engine. The supplementary function of lubrication is to cool and clean the engine parts. To prevent en

Sum of horizontal and vertical components: The two forces shown in the figure, are to be replaced by an equivalent force R applied at P . Locate point P by finding its d

Use of Auger extension for extended screed An improved extended auger arrangement and an improved asphalt paver with a tractor unit and a screed assembly including a main scree

LASER WELD OVERLAY I CLADDING This process brings the metal surface to a substantially higher temperature than in the heat treating process and results in a thin molten surface

Q. What do you understand by Carburization? Carburization is initiated by the adsorption of carbon in contact with the surface of the metal and may progress by diffusion along

how to calculate material removal rate in broaching?

types of welding, pressure and non pressure welding

Find out the recoil-velocity of the gun: As shell of mass 200 gm is fired at a velocity of 50 metres/second by a gun of mass 20 kg. Find out the recoil-velocity of the gun.