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

Crankshaft-basic components of engine , Crankshaft : It converts the recip...

Crankshaft : It converts the reciprocating motion of the piston into useful rotary motion. In the crankshaft of a single cylinder engine, there is a pair of crank arms and balance

Thermodynamics, what are causes of hotness of a body?

what are causes of hotness of a body?

Determine of poissons ratio, a) Show that if E is assumed to be correctly c...

a) Show that if E is assumed to be correctly calculated, an error of 1% in the evaluation of C will involve an error of about 6% in the determine of Poisson's ratio when its correc

Determine the critical load, Determine the critical load (W crit ) to ...

Determine the critical load (W crit ) to cause elastic instability of the rigidly jointed frame shown in Figure Q2. The frame members have constant bending stif

How is metal removed in metal cutting, How is metal removed in metal cuttin...

How is metal removed in metal cutting ? Explain the process by giving simple model to explain the metal removed process. What are the different conditions that could allow a con

Maximum slope and maximum deflection, Maximum slope and maximum deflection:...

Maximum slope and maximum deflection: A simply supported beam of span l is subjected to two concentrated loads at one-third span through two supports. Discover the maximum slo

Authoe, can i ask who the author of this website is?

can i ask who the author of this website is?

Find out the effort required to run this machine, Find out the effort requi...

Find out the effort required to run this machine: The efficiency of a machine is 75% while an effort of 20 N is required to lift a load of 160 N. Compute the velocity ratio an

Projection welding, Projection Welding   This is a modified method o...

Projection Welding   This is a modified method of making single or multiple spot welds. Projection welds are made by providing an embossment or projection on one or both of

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