Calculate for spring amount of load carried, Mechanical Engineering

Calculate for spring amount of load carried:

The table below gives specific of a compound spring consisting of two co-axial close-coiled springs. If the spring is subjected to an axial load of 450 N, calculate for each spring

a. the change in length,

b. the amount of load carried, and

c. the maximum shearing stress.

Take G = 80 × 103 N/mm2.

387_Calculate for spring amount of load carried.png

Solution

The free length of outer spring is more than the inner spring by (100 - 80) = 20 mm. Load carried through the outer spring for a deflection of 20 mm is specified by,

Δ= 64 W R3 n / Gd 4

⇒ 20 =     64 × W × 253 × 10 / (80 × 103 × 54)

∴ W1  = 100 N

Now the springs are in parallel. Load to be shared by the two springs

= 450 - 100 = 350 N

Δ= 64 W R3 n / Gd 4

2069_Calculate for spring amount of load carried1.png----------(1)

1435_Calculate for spring amount of load carried2.png

     2397_Calculate for spring amount of load carried3.png  ---------(2)

377_Calculate for spring amount of load carried4.png

⇒         5 Δ + 11.9 Δ= 350

∴          Δ= 20.7 mm

Change in length, Δ= 20.7 mm

1219_Calculate for spring amount of load carried5.png

Load taken by outer spring = 203.5 N.

Load taken by inner spring = 246.5 N.

τ max  =   16 W R  / π d 3

τmax is outer spring =   16 × 203.5 × 25/( π× 53) = 207.3 N/mm

τmax in inner spring =16 × 246.5 × 15/( π× 43) = 294.2 N/mm

∴ Maximum shearing stress = 294.2 N/mm2 (inner spring).

Posted Date: 1/21/2013 1:51:47 AM | Location : United States







Related Discussions:- Calculate for spring amount of load carried, Assignment Help, Ask Question on Calculate for spring amount of load carried, Get Answer, Expert's Help, Calculate for spring amount of load carried Discussions

Write discussion on Calculate for spring amount of load carried
Your posts are moderated
Related Questions
what is green chemistry with diagram

write the assumption made in derivetion of shear stress produced in circular shaft subjected to torsion

Question 1: A good display of the merchandise is the result of planning, cooperation and coordinating. A good schedule of work is important for a good design with the use of me

In a sun and planet type gear, the annular gear (D) has 100 internal teeth, the sun gear (A) has 50 external teeth and a planet gear (B) has 25 external teeth. The gear (B) meshes

A simple band brake performs on a drum of 600mm in diameter that is running at 200 r.p.m. The coefficient of friction is 0.25. The brake band has a contact at 270 o one end is fas

Axis Perpendicular to the Vertical Plane - square prism: Here a square prism, side of base 40 millimeter and axis 60 millimeter long is resting on the HP on its base along wit

How are fuels divided ? Write disadvantages and advantages of each types. (b) A sample of coal supplied to a boiler has the following composition by mass : Carbon = 88%, Hydr

If Battery is Not Charging Causes of Problem Remedy Electrolyte specific gravity NG Charging not done fully


The cantilevered beam made from the Z section is subjected to the two loadings as shown. (a)  Determine and show the orientation of the neutral axis on the cross section (angle