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
ELECTRO GAS WELDING This process is an extension of MIG  I MAG welding, designed for single pass vertical welding of steel plates in the thickness range of 10 to 38 mm. The tw

why can''t we use petrol as a fuel for diesel engines?

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

(a) Describe and calculate i) Humidity Ratio ii) DPT iii) Relative Humidity iv) Density v) Enthalpy of atmosphere air when DBT is 35 0 C, WBT is 23 0 C and the ba


Illustrate governing Mechanism of Francis turbine.


Does the selected system meet the requirements of the application (building purging, make-up air, filtration, ventilation)? Is the system suitable for the intended building usag


Calculate the magnitude of maximum bending moment: The shear force diagram for the overhanging beam is illustrated in Figure. Draw the loading diagram & bending moment diagram