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

What are square footings, What are square footings? SQUARE FOOTINGS ...

What are square footings? SQUARE FOOTINGS This type of footing, also termed an isolated spread footing is probably the most common, simplest and most economical of the vario

Spinal fluid collection, Spinal fluid Collection:    Spinal fluid is u...

Spinal fluid Collection:    Spinal fluid is usually obtained from lumbar region, although may be obtained during surgery from the cervical region or from the cistern or ventri

determine the mass of air, An amount of air contained in a rigid container...

An amount of air contained in a rigid container is at  T1 = 300 K.  After adding 450 kJ of heat, the air temperature increases to  T2 = 430 K.  Determine the mass of air,  m [kg],

Types of registration in entrepreneurship development, Types of Registratio...

Types of Registration Provisional Registration Certificate ( PRC ) This is given for the pre-operative period and enables the units to obtain the term loans and worki

Plate shift drum stopper bolt and arm comp, Plate shift drum stopper bolt a...

Plate shift drum stopper bolt and arm comp Shift drum stopper : Ensure that the plate shift drum bolt is tight and in arm shift drum stopper assembly, check stopper arm bolt for to

Springs, write notes on close-coiled springs ,open-coiled springs semi ell...

write notes on close-coiled springs ,open-coiled springs semi elliptical leaf springs ,quarter elliptical leaf springs .how to determine shear stress deflection stress energy and

Evaluate the quantity of air passes, The cockpit of a jet plane flying at a...

The cockpit of a jet plane flying at a speed of 1200 km/hr is to be cooled by simple air cooling system. The cockpit is to be maintained at 25 0 C and pressure in the cockpit is 1

Estimate pump power and flow rate, In designing piping systems, it is somet...

In designing piping systems, it is sometimes desirable to estimate the appropriate pipe length for a given diameter, pump power and flow rate. In such cases, if minor pipe losses a

Concept of torque speed variation in transmission system , Concept of Torqu...

Concept of Torque (Speed) Variation in Transmission System: When two different size gears are running at same speed, then the small gear makes more revolution than the big gear. T

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