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
what is hoop stress

how to prove that heat and work is path function?

Q. How can you test hardness of the prepared mould? Hardness test: The hardness of the prepared mould surface is tested to check the ramming density of the sand. The instrume

Diesel Cycle - Thermodynamics: Diesel cycle is also called as the constant pressure cycle as all addition of heat takes place at constant pressure. The cycle of operation is s

Military and Civil Aircraft: Military aircraft can be of several types such as : (a) Cargo carriers, with capacity to carry heavy loads, such as trucks and tanks. (b) Fi

Q. Why we need paving in design of a plant? Concrete paving should be provided under any equipment where flammable or hazardous liquids may be spilled during routine operation

Matter, Particle and Weight: Sol: Matter: Matter is anything which occupies space and have some mass, offers resistance to any stress, for example Iron, stone, air, Water.

Explain Gauge Pressure (P gauge ) Gauge Pressure is the pressure of a fluid contained in a closed vessel. It is all time more than atmospheric pressure. It is calculated by an

Q. Gasket Installation in Module site installation? Gasket will be installed after modules are set. Normally RTJ flanges require mating flanges to be spread with jacks and then

Clutch Complaints Nature of complaints could be that of following : (a) Clutch judder (jerking) (b) Clutch slipping (c) Half clutch noise