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.

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

----------(1)

       ---------(2)

⇒         5 Δ + 11.9 Δ= 350

∴          Δ= 20.7 mm

Change in length, Δ= 20.7 mm

Load taken by outer spring = 203.5 N.

Load taken by inner spring = 246.5 N.

τ _max  =   16 W R  / π d ³

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

τ_max 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

Ask an Expert

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

Write your message here..

Related Questions

Green chemistry, what is green chemistry with diagram what is green chemistry with diagram

Shear stress, write the assumption made in derivetion of shear stress produ... write the assumption made in derivetion of shear stress produced in circular shaft subjected to torsion

Planning a retail interior space, Question 1: A good display of the mer... 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

Determine the speeds of gears, In a sun and planet type gear, the annular g... 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

What is the pull required on brake arm to stop wheel, A simple band brake p... 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, Axis Perpendicular... 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

Determine mass of air needed for complete combustion, How are fuels divided... 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

Battery is not charging motorcycle problem, If Battery is Not Charging ... If Battery is Not Charging Causes of Problem Remedy Electrolyte specific gravity NG Charging not done fully

multipass machining, maximum production rat maximum production rate

Determine the bending stress, The cantilevered beam made from the Z section... 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