Determine the maximum stress - spring , Mechanical Engineering

Assignment Help:

Determine the maximum stress:

A laminated spring of the quarter elliptic type, 0.6 m long, is to give a static deflection of 80 mm under an end load of 2000 N. If the leaf material is 60 mm wide and 5 mm thick, determine the number of leaves needed and the maximum stress.

From what height may the load be dropped on to the undeflected spring to cause of maximum stress of 8000 N/mm2?  E = 200 GPa.

Solution

 Quarter Elliptic Leaf Spring l = 0.6 m

Δ = 80 mm

W = 2000 N

b = 60 mm

t = 5 mm

n = ?

σb = ?

Δ= 6W l 3/ nbt 3 E

⇒         80 = 3 × 2000 × 6003 / n × 60 × 53 × 200 × 103

∴          n = 21.6 (say 22 leaves)

σ  = 6Wl / nbt

= 6 × 2000 × 600 /22 Δ× 60 × 52

= 369 N/mm2

For maximum stress of 800 N/mm2

800 = 6 × W × 600 / 22 × 60 × 52

⇒         W = 7333.3 N

Corresponding deflection = 6 × 7333.3 × 6003/22 × 60 × 53 × 200 × 103

                                         = 288 mm

Loss of PE = Gain of KE

2000 (h + 288) = (½) × 7333.3 × 288

∴ h = 240 mm


Related Discussions:- Determine the maximum stress - spring

The tension in the cable attached to the chair, A "swing" ride at a carniva...

A "swing" ride at a carnival consists of chairs that are swung in a circle by 12.0 m cables attached to a vertical rotating pole, as the drawing shows. (θ = 60.0°) Suppose the tota

Connecting rod, how to design a steel connecting rod using minimum weight a...

how to design a steel connecting rod using minimum weight and thickness?

Understanding the role of ownership, Understanding the Role of Ownership : ...

Understanding the Role of Ownership : Before starting a business, entrepreneur should know what is involved in owning a business and what are the roles one will have to play to st

What is heat treatment and why is it done, What is heat treatment and why i...

What is heat treatment and why is it done? Heat treatment can be described as a combination of operations or processes in which cooling and heating of an alloy or metal is done

Calculate the cutting speed, Normal 0 false false false ...

Normal 0 false false false EN-IN X-NONE X-NONE MicrosoftInternetExplorer4

Applied load shall elongate the spring, Applied load shall elongate the spr...

Applied load shall elongate the spring: Design a close coiled helical spring which shall deflect 100 mm under a load of 600 N. The radius of the coil is 6 times the wire diame

Determine the orientation of neutral axis, The resultant moment M acts thro...

The resultant moment M acts through the centroid of the aluminum strut, inclined as shown.  (a) Determine the orientation of the neutral axis and show the neutral axis on a sket

System of parallel forces - mechanics, System of parallel forces: A r...

System of parallel forces: A rigid body is subjected to system of parallel forces as shown in the figure. Reduce this system to, ( i ) A single force system ( i

Computer aided analysis, This components extensively used teh specialized ...

This components extensively used teh specialized and / or general purpose software. Often it may development for typical application and to perform calculations in the design

Determine the deflection , Obtain the equations of the elastic curve and us...

Obtain the equations of the elastic curve and use them to determine the deflection and rotation at point B in terms of E, I, F and L.

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd