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

Calculate density of completely dry oak, The density of a sample of oak is ...

The density of a sample of oak is 0.90 g/cm^3. Calculate             a. the density of completely dry oak             b. the percent water in the original sample

Rankine cycle with respect to p-v, Rankine cycle with respect to P-V, T dia...

Rankine cycle with respect to P-V, T diagrams: The steam having high pressure is expanded to a low pressure within a reciprocating engine or a turbine. If expansion is idea

Design the keys - shear keys, Design the keys - Shear Keys: A solid ci...

Design the keys - Shear Keys: A solid circular shaft is to transmit 200 kN at 200 rpm. If the maximum shear stress is not to exceed 80 n/mm 2 design the shaft. Design the key

#power plant, Components of power plant &it''s functions

Components of power plant &it''s functions

Friction, Friction: When a body moves or tends to move over the other ...

Friction: When a body moves or tends to move over the other body, a force opposing the motion develops at the contact surfaces. This force that opposes the movement or the ten

What is air intakes, Q. What is Air Intakes? Air is drawn from the atmo...

Q. What is Air Intakes? Air is drawn from the atmosphere for a variety of process and equipment uses, including: • Combustion air (fired heaters, boilers, gas turbines, int

Principle of energy conversion, Q.   Describe the principle of energy conve...

Q.   Describe the principle of energy conversion. Show that the reaction of coupling magnetic field on the electrical or mechanical system is essential for the electro - mechanical

Principals, do you know the grade to the answers of the questions in the pr...

do you know the grade to the answers of the questions in the pre paid solutions..?? and what if the answers are wrong..?? as i need all working out shown

State the main advantage of using master pages, Problem: (a) InDesign ...

Problem: (a) InDesign is known as a common software for designers mainly used for publication of newspapers, magazines and other editorial design artworks. The Master page fe

He- ne laser, constructing and working of he- ne laser

constructing and working of he- ne laser

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