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

Determine the expression for crippling load, Illustrate the assumptions mad...

Illustrate the assumptions made in Euler's theory. Determine the expression for crippling load for a long column when one end of the column is fixed and other end is hinged.

Dust collector, Dust Collector:             Dust collector system is to...

Dust Collector:             Dust collector system is to collect the blast burrs or waste particle created during the blasting process. During the blasting process, this dust co

Determine the number of leaves and initial curvature, Determine the number ...

Determine the number of leaves and initial curvature: A leaf spring with a span of 1.40 m consist width and thickness of leaves to be 100 mm and 12 mm respectively. The maximu

Determine the forces in members in roof truss, Determine the Forces in Memb...

Determine the Forces in Members in Roof Truss Determine the forces in members EF, EL, FL, and LK in the roof truss shown below and state whether the members are in tension or

Steam mass capacity, I have 5000 kg boiler capacity. In flow of 1 m3 gas fl...

I have 5000 kg boiler capacity. In flow of 1 m3 gas flow how much steam I can produce

Cone of friction, Con e of Friction: When the body is having impending...

Con e of Friction: When the body is having impending motion   in direction of P , the frictional force will be limiting friction and the resultant reaction R wil

Optimization, consider the following LPP max z=9x1+8x2+5x3 subject to 2x1+3...

consider the following LPP max z=9x1+8x2+5x3 subject to 2x1+3x2+x3 5x1+4x2+3x3 x1,x2,x3>_0 (a)solve using simlex method (b)hence using the sesitivity analysis,find the new optimal

Iges application protocol, IGES application protocol: In the year 1977...

IGES application protocol: In the year 1977, the three authors of The Initial Graphics Exchange Specification were identified collectively for their contributions to the growt

Thermodynamics, Convert the following readings of pressure to KPa absolute,...

Convert the following readings of pressure to KPa absolute, assuming that the barometer reads 760mm Hg: (a) 100 psig, (b) 8in. Hg vacuum, and (c) 76in Hg gage.

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