Determine the maximum hoop - conical shells, Mechanical Engineering

Assignment Help:

Determine the maximum hoop:

A conical water tank of height 2 metres & base radius 500 mm is supported at top and is full of water. The thickness of the wall is refer to 24 mm, determine the maximum hoop and meridional stress.

1174_Determine the maximum hoop.png

 Figure  

Solution

Apex angle, α= tan - 1 ( 0.5 /2) = 14.036o

Maximum hoop stress occurs at h/2 = 2/2 = 1m from the bottom.

Maximum hoop stress = wh2  tan α / 4t cos α

 Unit weight of water, w = 9.81 × 10- 3  N/mm3

Thickness, t = 29 mm.

∴ Maximum hoop stress =

9.81 × 10- 3 × 20002 × tan 14.036o / 4 × 29 × cos 14.036o

= 105.25 N/mm2

Similarly, maximum meridional stress occurs at 3h/4 = 3 × (2/4) = 1.5 m from the bottom.

∴ Maximum meridional stress =(3/16)( wh2  tan α   / t cos α  )

=          (3/16) × (9.81 × 10- 3 × 20002 × tan 14.036o/29 × cos 14.036o)

= 78.995 N/mm2


Related Discussions:- Determine the maximum hoop - conical shells

Construct a retrograde vernier scale, Construct a retrograde Vernier scale:...

Construct a retrograde Vernier scale: During construct a retrograde Vernier to a scale of 1/5, signify inches and 10 th , and 30 inches and long sufficient to read to mark dis

Mchanical vibration, the base of a spring -mass- damper system is subjected...

the base of a spring -mass- damper system is subjected to the periodic displacement. determine the response of the mass using the principle of superposition

Disc type brake, Disc Type Brake:  As shown in Figure the disc brake ...

Disc Type Brake:  As shown in Figure the disc brake consists of a pearlitic grey cast iron disc bolted to the wheel hub and a stationary housing called caliper. Casting in tw

Drill bit-tool and equipment , Drill Bit: This is a drilling tool used in ...

Drill Bit: This is a drilling tool used in drilling machines. The application of this tool is to make holes. Figure shows drill bit. Figure: Drill Bit

example of alteration of position and reference line method, Example of Al...

Example of Alteration of Position and Reference Line Method: Sketch the projections of a pentagonal prism edge of the base 50 millimeter long and height 90 millimeter, the axi

Beee, Explain the construction and principles of operations of induction mo...

Explain the construction and principles of operations of induction motor

Thermodynamics, The attached figure depicts an indirectly fired gas turbine...

The attached figure depicts an indirectly fired gas turbine engine. In the gas turbine engine, air is compressed to a high pressure and then heat is added. The high pressure, high

Method of joint, Method of joint: How you can find out force in the m...

Method of joint: How you can find out force in the member of truss by using method of joint? Sol.: In this, after determining the reactions at supports, the equilibrium

Calculated the diameter of an aluninium shaft , Calculated the diameter of ...

Calculated the diameter of an aluninium shaft: Calculated the diameter of an aluninium shaft that is designed to store the similar amount of strain energy per unit volume as a

Evaluate the crippling load, A cast iron hollow column, having 100mm extern...

A cast iron hollow column, having 100mm external diameter and 80mm internal diameter is used as a column of 2.4 m length. Using Rankine formula, calculate the crippling load, when

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