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

Determine the value of shunt connected capacitance, An electric heating ele...

An electric heating element is rated at 4.0kW when connected to a single phase 240Vrms, 50 Hz AC supply, and is known to have a power factor of 0.833 lagging. 1. Calculate the c

Hydraulic detention time, a.The closest point to discharge treated effluent...

a.The closest point to discharge treated effluent is a lake, but the pipeline is extended so it discharges into the river draining the lake. This allows a conventional secondary tr

Lacashire boiler, LACASHIR E BOILER : It is fire tube, internally ...

LACASHIR E BOILER : It is fire tube, internally fired, stationary, horizontal, natural circulating type boiler. Evaporative capacity can be up to 8500 kg/hr. and can opera

Evaluate power transmitted by shaft, Evaluate power transmitted by shaft: ...

Evaluate power transmitted by shaft: How do you evaluate power transmitted by shaft (P)? Sol.: Consider force 'F' Newton's acting tangentially on shaft of radius ' R '.

Heat transfer, Write down the expressions for the physical laws that govern...

Write down the expressions for the physical laws that govern each mode of heat transfer, and identify the variables involved in each relation.

Velocity ratio for open belt drive, V elocit y Ratio for Open Belt Drive:...

V elocit y Ratio for Open Belt Drive: Figure Consider a simple belt drive (that is one driver and one follower) as shown in the figure given below Let D 1

#title.first Law of thermodynamics, for a circle,is the net work necessaril...

for a circle,is the net work necessarily zero? for what kind of system will this be the case?

Determine the machine working, Determine the theoretical COP for a CO 2 ma...

Determine the theoretical COP for a CO 2 machine working between the temperature range of 25 O C and -5 O C. the dryness fraction of CO 2 gas during the suction stroke is 0.6. fo

Selection of metallic materials, Q. Selection of metallic materials? Th...

Q. Selection of metallic materials? This Engineering Practice has been written to assist those involved in the construction of new equipment and for the maintenance of existing

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