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

Evaluate the reaction at support, Evaluate the reaction at support: Q...

Evaluate the reaction at support: Q: Find out the reaction at support as shown in figure given below     First draw FBD of the system as shown in the given figur

Prove the fourier series expansion, (a) Prove that the fourier series expan...

(a) Prove that the fourier series expansion for the function x(t) described in the finite interval -π ≤ t≤ π x(t) = 0 -π ≤ t ≤ 0 x(t) = sint 0 ≤ t ≤ π (b) Represent t

Evaluate total extraction, Evaluate total extraction: The steel tie r...

Evaluate total extraction: The steel tie rod 50mm in diameter and 2.5m long is subjected to pull of 100 KN . To what length the rod must be bored centrally so that total ext

Key words used in road under special conditions, Keywords used in appropria...

Keywords used in appropriate technology: Hill Roads : Roads in hilly and mountainous terrain. Landslides : The slippage of mass of hill face. Retaining Walls : Str

Determine root of equation, Determine root of equation xe x = cosx by Mull...

Determine root of equation xe x = cosx by Muller's method. Solve the following equations by Matrix Inversion method.

Evaluate resultant of the system - mechanics, Evaluate resultant of the sys...

Evaluate resultant of the system: Q: Figure given below shows two vertical forces and couple of moment 2000 Nm acts on horizontal rod, which is fixed at end A .  Determin

Connecting rod, how to design a steel connecting rod using minimum weight a...

how to design a steel connecting rod using minimum weight and thickness?

Physics, what is the advantage of fan

what is the advantage of fan

Steam engine main parts, STEAM ENGINE MAIN PARTS:    Connecting Rod: ...

STEAM ENGINE MAIN PARTS:    Connecting Rod: It connects cross head with crank on other side.    Crank Shaft: It is output shaft on which the mechanical power which is a

Cad, nc & cnc machines

nc & cnc machines

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