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 velocity at a cross section of the pipe, Consider a fully develop...

Consider a fully developed laminar flow of a fluid through a 200 m long and 4 cm diameter horizontal and circular pipe. The density and the viscosity of the fluid are 1400 kg/m 3

Discuss the inversions of double slider crank chain, a) Describe and illust...

a) Describe and illustrate the terms with their classification: Mechanism, Kinematic, Machine links and Kinematic pair. b) Discuss the Inversions of double slider crank chain an

Requirements for design structural steel, This section shall apply to the g...

This section shall apply to the general requirements for design, fabrication, erection, and testing of structural steels for supports, stairways, ladders and platforms. All stru

Design and sketch a knuckle joint to transmit a tensile load, Give a genera...

Give a generalized definition of factor of safety. Illustrate the factors responsible for Un-certainities in design necessitating a suitable factor of safety. How is ‘factor of saf

Determine the angular-velocity of uniform bar, Determine the angular-veloci...

Determine the angular-velocity of uniform bar: A uniform bar of length l and mass M is hinged at its end B and is released from its horizontal position BA. Determine its angul

Safety and loss prevention, Q. Safety and Loss Prevention? Are there sp...

Q. Safety and Loss Prevention? Are there special venting requirements for flammables and toxic materials? Air conditioning, heating and ventilation: • are non-sparking fa

Introduction to general safety and service tips , INTRODUCTION: Safety is ...

INTRODUCTION: Safety is very important which is often neglected at our workplaces. Small precautions if carried out regularly can ensure safe, hygienic and clean environment at ou

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