Discover the maximum safe air pressure, Mechanical Engineering

Assignment Help:

Discover the maximum safe air pressure:

A cylindrical compressed air drum is equal to 2 m in diameter along plates 12.5 mm thick. The efficiencies of the longitudinal (ηl) and circumferential (ηc) joints are equal to 85% & 45% respectively. If in the plating the tensile stress is to be limited to 100 MN/m2, discover the maximum safe air pressure.

Solution

The efficiency of the joint effect the stresses induced. For a seamless shell (with no joints), efficiency is equal to 100%. While the efficiency of joint is less than 100%, the stresses are enhanced accordingly.

Therefore, if η is the efficiency of a joint in the longitudinal direction, affecting the hoop stress, then the stress shall be given as,

σ h  =    pd/ (4t ×ηI)

Here, the diameter d = 2 m = 2000 mm.

Thickness, t = 12.5 mm.

Limiting tensile stress = 100 MN/m2 = 100 N/mm2.

Letting the circumferential joint which influences the longitudinal stress,

Pd/ (4t × ηl) = 100

p × 2000 / (4 × 12.5 × 0.45) = 100

 p = 1.125 N/mm2

Likewise, considering the longitudinal joint which influences the hoop stresses,

pd / (2t × ηc) = 100

p × 2000 / (2 × 12.5 × 0.85) = 100

p = 1.063 N/mm2

Evidently, safe pressure is governed through hoop stress.

Therefore, maximum safe air pressure = 1.063 N/mm2.


Related Discussions:- Discover the maximum safe air pressure

Define the components in the step standard, Define the components in the ST...

Define the components in the STEP standard There are many components in the STEP standard. (i) The first component discusses the purpose of the standard. It contains :  (

Access considerations for plant design, Q. Access Considerations for plant ...

Q. Access Considerations for plant design? Plant facilities shall be provided with acceptable access and egress for personnel, materials, and equipment by using access ways, ro

Bicycle frame design, You are required to design the central section of the...

You are required to design the central section of the bicycle frame which consists of the seat tube, top tube, down tube and head tube. You can ignore the seat stays, chain stays a

Determine root of equation, Determine root of equation xe x = cosx by Mull...

Determine root of equation xe x = cosx by Muller's method. Solve the following equations by Matrix Inversion method.

Structures of materials, what is the difference between atomic structure an...

what is the difference between atomic structure and crystal structure

Formula to make a parallelogram a rectangle, I need a formula to calculate ...

I need a formula to calculate the offset that would give me

Upward compatibilityof iges, Upward Compatibilityof IGES Upward Compati...

Upward Compatibilityof IGES Upward Compatibility : The need for generations of processors to parse files compliant with earlier versions of IGES thwarted the breadth and rate o

Mollier diagram - thermodynamics, Mollier diagram: Mollier diagram is ...

Mollier diagram: Mollier diagram is chart drawn between enthalpy H (on ordinate) and entropy or S (on abscissa). It is also called as H-diagram. It depicts properties of water

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