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

Airport layout - planning a new airport, Airport Layout: The main com...

Airport Layout: The main components of an airport are: (a)        Runways (b)       Taxiways (c)        Apron (d)       Terminal area (i)        Terminal build

ETD, Proof that energy is a property of system

Proof that energy is a property of system

Chisel-tool and equipment , Chisel: Chisels are used in the combination of...

Chisel: Chisels are used in the combination of hammer to remove metals. A set of chisels is shown in Figure. Figure: Chisel

What is air intakes, Q. What is Air Intakes? Air is drawn from the atmo...

Q. What is Air Intakes? Air is drawn from the atmosphere for a variety of process and equipment uses, including: • Combustion air (fired heaters, boilers, gas turbines, int

Welding, what is the average speed of travel in gas tungsten arc welding

what is the average speed of travel in gas tungsten arc welding

Define pressure- retaining components, Q. Define Pressure- retaining compon...

Q. Define Pressure- retaining components? Components acting as pressure envelope or boundary; breach of this envelope or boundary would lead to loss of containment and discharg

Classification of power sources according to construction, CLASSIFICATION O...

CLASSIFICATION OF POWER SOURCES ACCORDING TO CONSTRUCTION & DESIGN To give the desired output a power source may be constructed with different components. Therefore, a classifi

Computerized scheduling and control manufacturing systems, Characteristics...

Characteristics Computerized Scheduling And Control Manufacturing Systems Introduction This section illustrates the unique characteristics of CCS or Computer Controlled Sc

Dimension commands-autocad, Dimension Commands: For example, the illust...

Dimension Commands: For example, the illustration above shows two different dimension styles. The one on the left is the default style known as STANDARD. If you do not create a

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