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

What do you mean by shell and tube exchangers, Q. What do you mean by Shell...

Q. What do you mean by Shell and Tube Exchangers? Shell and tube exchanger piping shall be arranged to provide clearance overhead at both bonnet and channel ends. Piping shall

Storage and handling of epoxy powder, Q. Storage and Handling of Epoxy Powd...

Q. Storage and Handling of Epoxy Powder? Coating materials shall be stored, handled and applied in strict accordance with procedures as outlined by the coating manufacturer, ex

Advantages of gas tungsten arc welding (gtaw), ADVANTAGES OF GAS TUNGSTEN A...

ADVANTAGES OF GAS TUNGSTEN ARC WELDING (GTAW) Produces high quality, low distortion welds Free from spatter The process can be used with or without filler wire This

Finite element concepts, The purpose of this section of your assignment is ...

The purpose of this section of your assignment is to familiarise yourself with the basic FE theory and relate it to the fundamental concepts of stress and strain calculations in en

Spot welding equipment, What is Spot welding equipment? Spot welding ma...

What is Spot welding equipment? Spot welding machines may by classified as follows on the basis of mechanical Construction; 1. Rocker-arm Machines 2. Press-type machin

Design the pavement, As spring approaches, your design rm has been tasked ...

As spring approaches, your design rm has been tasked with designing a two-lane highway in rural Wyoming. The highway descends a hill, crosses a river, and must shift to a parallel

Noise attenuation in ventilating, Indicate size, capacity and noise reducin...

Indicate size, capacity and noise reducing characteristics of all silencers on plans, including silencers for vane-axial fans. Indicate all acoustical lining on drawings, genera

Calculate the horizontal and vertical components, Calculate the Horizontal ...

Calculate the Horizontal and Vertical Components A jet aircraft pulls up into a vertical curve as shown in the figure. As it passes the position where Θ = 30°, its speed is 10

Applications of co2 welding, APPLICATIONS OF CO 2 WELDING CO 2 weldin...

APPLICATIONS OF CO 2 WELDING CO 2 welding is extremely useful for joining thin sheets of thickness range 1.0 to 2.0 mm because it is possible to keep the heat input low to av

Extent of the hazardous zone, The extent of a hazardous area depends on the...

The extent of a hazardous area depends on the rate of release, ventilation conditions, and fluid properties and is defined by the relevant regional or country standards. The pot

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