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.


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
Calculate thermal efficiency and compression: Q: Calculate thermal efficiency and compression ratio for automobile working on otto cycle. If energy generated per cycle is t

Evaluate the specific enthalpy - thermodynamics: Steam is being generated in a boiler at a pressure of 15.25 bar. Calculate the specific enthalpy when ( i )  Steam i

T ensil e Strain: When the tensile load acts on body then there will be decrease in cross sectional area and an increase in length of body. The ratio of increase in length t

MATERIALS WELDABILITY Electron beam welding has the ability to weld a variety of materials including dissimilar combinations. These can be split into general categories as to t

Cope and drag pattern These are similar to split patterns. In addition to splitting the pattern, the cope and drag halves of the patterns along with the gating and risering sys

A motor cycle with rider, weight of 250 Kg., the centre of Gravity of the machine and rider combined being 60 cm above from ground level when the machine is standing upright. Each

temparature stresses in composite bars

hardenability of ferrous and non ferrous alloys

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

mean effective pressure of dual cycle