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

Shielded metal arc welding, Shielded Metal Arc Welding   Single pass...

Shielded Metal Arc Welding   Single pass fillet welds upto ¼" (6.4 mm) maximum and ¼" groove welds made with a single pass or a single pass each side, may be made by using a

Calculate the period of vibration, (a) Show energy method and Rayleigh's me...

(a) Show energy method and Rayleigh's method for single degree of freedom system. Also discuss its application. (b) A sphere of diameter D floats half submerged in water. If the

What is the problem in paving material distribution system, What is the pro...

What is the problem in Paving material distribution system James H. Bassett found the problem in Paving material distribution system In particular, separation of the larger agg

Single-engine general aviation aircraft, The wing of a light, single-engine...

The wing of a light, single-engine general aviation aircraft has an area of 15.8 m 2 and a span of 9.6 m. The airfoil of the wing is NACA 65-415, which has a lift slope of 0.1033

What is pipe rack, Q. What is Pipe Rack? Separation between pipe racks ...

Q. What is Pipe Rack? Separation between pipe racks and process equipment provides access for operations, maintenance and to reduce involvement from adjacent fires. Process equ

Pultrusion, Pultrusion Structure sections of long length are generated...

Pultrusion Structure sections of long length are generated by putting the fibres via resin bath and heated dies of exact shapes. Unidirectional fibres along with high volume f

Determine strap beam with suitable demonstration, Determine strap beam with...

Determine strap beam with suitable demonstration. Here observe that R e becomes greater than P e by a magnitude of V while R i becomes less than P i by a magnitude equal to

Plot the root locus diagram for a system, Plot the root locus diagram for a...

Plot the root locus diagram for a system whose open loop transfer function is Evaluate the range of values for K for system to be stable.

Force analysis, explain with suitable eg. static and dynamic force analysis...

explain with suitable eg. static and dynamic force analysis

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