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

Mathematics, solve the following differential equation: dy/dx-(1+1/x)y=y^2

solve the following differential equation: dy/dx-(1+1/x)y=y^2

Evaluate the speed of wheels, a) An epicyclic gear have three wheels A, B a...

a) An epicyclic gear have three wheels A, B and C. Wheel A has 72 internal teeth, wheel C has 32 external teeth. The wheel B gears with both A and C is carried on an arm which move

State the main advantage of using master pages, Problem: (a) InDesign ...

Problem: (a) InDesign is known as a common software for designers mainly used for publication of newspapers, magazines and other editorial design artworks. The Master page fe

String vibration fixed ends, String Vibration Fixed Ends In case of the...

String Vibration Fixed Ends In case of the vibrations of a string, both its ends at  x = 0  and  x = L  may be permanently fixed;  y (x = 0) = 0 , and  y (x = L) = 0 at all  t

Compute efficiency of dual cycle, (a) Compare 2 two-stroke cycle engines wi...

(a) Compare 2 two-stroke cycle engines with 4 stroke cycle engines. What are the function of flywheel and Cam Shaft? (b) Derive a mathematical expression for efficiency of dual

Boiler, boiler performance.

boiler performance.

Stress analysis, Figure shows rough sketch of a selected representative cri...

Figure shows rough sketch of a selected representative critical part of a "Quick Coupler" (of an earth moving equipment) made with cast steel.  You need to perform FEA analysis to

Calculate the flow rate and pressure drop , (a) Oil, with density ρ= 900 kg...

(a) Oil, with density ρ= 900 kg/m 3 , and kinematic viscosity υ=0.00001m 2 /s, flows at the rate of 0.2m 3 /s through 500m of a cast iron pipe of diameter d=200mm. Using this infor

Total decrease in length - hollow cast iron cylinder, Total decrease in len...

Total decrease in length: Q: A hollow cast iron cylinder 4 m long, 300 mm is the outer diameter, and thickness of metal 50 mm is subjected to central load on top when standin

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