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

Steam generator master pressure control, Q. Steam Generator Master Pressure...

Q. Steam Generator Master Pressure Control? The combined header pressure is controlled by a regular P.I.D. controller which ultimately trims the water flow to each boiler. A

Working of engine lubrication system , Working of Engine Lubrication System...

Working of Engine Lubrication System: The oil flows from oil pump into the distribution chamber, where it is divided into two parts. One part enters into the right crankcase cove

Physical properties of materials, why is physical properties of materials i...

why is physical properties of materials important in design and for industrial application?

Features of the scheme entrepreneurship development, Features of the Schem:...

Features of the Schem:  Features of the scheme are as follows : DIC is the primary registering centre. Registration is voluntary and not compulsory. Two types of

What will happen if air filter is not used?, (a) What will happen if air fi...

(a) What will happen if air filter is not used? (b) What are the components of an air filter? (c) What precautions should be followed while cleaning the air filter? (d) What grade

What is raft foundation, What is raft foundation? A raft or mat can be ...

What is raft foundation? A raft or mat can be considered as a combined footing which covers the entire building area and supports all columns and walls. Such a foundation may c

Stress, how do i determine the operational factor of safety in tension

how do i determine the operational factor of safety in tension

Evaluate the speed of wheels, a) An epicyclic gear have three wheels A, B a...

a) An epicyclic gear have three wheels A, B and C. Wheel A has 72 internal teeth, wheel C has 32 external teeth. The wheel B gears with both A and C is carried on an arm which move

Crank pin and crank shaft - part of combustion engine, Crank Pin and Crank ...

Crank Pin and Crank Shaft - Part of combustion engine: Cran k Pin: Crank pin is region on crank shaft on which big end of connecting rod is attached. These pins are eccentr

Dom, what is offset inertia force

what is offset inertia force

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