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

Comparison between work and heat - thermodynamics, Comparison between work ...

Comparison between work and heat - thermodynamics: There are a number of similarities between heat and work. 1. Both heat and work are transient phenomena. The systems do n

Explain about active fire protection, Q. Explain about Active Fire Protecti...

Q. Explain about Active Fire Protection? Active Fire Protection - A fire fighting system that is normally dormant and is activated automatically upon detection of a fire hazard

Thermal engineering, Air enters the compressor of an ideal air standard Bra...

Air enters the compressor of an ideal air standard Brayton cycle at 100kPa, 250C with a volumetric flow rate of 8m3/s and is compressed to 1000kPa. The temperature at the inlet to

Oil seal found still leaking-stator plate oil seal complaint, After trial i...

After trial if oil seal found still leaking: Dismantle engine and check crank shaft for run out which should not be more than 0.10 mm.

Influence lines for the force, Solve the following two questions of the tru...

Solve the following two questions of the truss. Note that A and G are pin supports.  1)  Sketch the influence lines for the force in bar DG (the load is moving on the top chord

Tool geometry, why single point cutting tool used in lathe

why single point cutting tool used in lathe

Soldering and brazing, soldering and brazing ,,its a assignment base, need ...

soldering and brazing ,,its a assignment base, need of soldering and brazing meaning and how it works and where does it used. more over the disadvantages and advantages of the sold

Determine mean effective pressure, An oil engine works on the Dual cycle, t...

An oil engine works on the Dual cycle, the heat liberated at consent pressure being twice that liberated at consent volume. The compression ratio of the engine is 8 and the expansi

Determine the root of equation, Calculate the value of ∫ Π/2 sinx dx by Si...

Calculate the value of ∫ Π/2 sinx dx by Simpson's 1/3 rule using 11 ordinates. Determine the root of equation xe x = cosx using secant method correct to four decimal places.

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