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

Describe microscopic and macroscopic approaches, Distinguish between micros...

Distinguish between microscopic and macroscopic approaches. Describe thermodynamic system. Differentiate between closed system, open system and an isolated system.

Instantaneous stress formula, Ask quesinstantaneous stress formulation #Min...

Ask quesinstantaneous stress formulation #Minimum 100 words accepted#

Determine the horizontal component of the force, Determine the horizontal c...

Determine the horizontal component of the force: A force of 80 N is working on a bolt as illustrated in Figure. Determine the horizontal and vertical components of the force.

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

Evaluate the sliding velocity, Two mating spur gear with module pitch of 6....

Two mating spur gear with module pitch of 6.5 mm have 19 and 47 teeth of 20 degree pressure angle, and 6.5 mm addendum. Evaluate the number of pairs of teeth in contact and the ang

Advantage of electro chemical machining, Advantage of Electro Chemical Mach...

Advantage of Electro Chemical Machining 1. As the tool does not come in contact with the work there for tool wear is practically nil. 2. The metal removal is faster rate.

Rotational to linear, A hinged object hangs on the outside of a rotating wh...

A hinged object hangs on the outside of a rotating wheel. When the object is in the six o''clock position, it needs to be rotated 180 degrees using only the rotational power of the

Evaluate the gyroscopic couple, The turbine rotor of a ship having a mass o...

The turbine rotor of a ship having a mass of 200Kg moves at 200 r.p.m and its radius of gyration is 0.30 m. If the rotation of the rotor is clockwise looking from the aft., evaluat

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