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

Battery discharges frequently motorcycle problem, If Battery Discharges Fre...

If Battery Discharges Frequently Causes of Problem Remedy Electrolyte specific gravity NG Charging not done fully

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

Equation for principal stresses and principal planes, Equation for principa...

Equation for principal stresses and principal planes: Derive equation for principal stresses and principal planes for the element subjected to compound stresses. Sol.:

Thermal Science, Write an essay on air, water and soil-based heat pumps. Di...

Write an essay on air, water and soil-based heat pumps. Discuss the advantages and the disadvantages of each system. For each system identify the conditions under which that system

Erosion-corrosion in sand slurry line, Q. Erosion-Corrosion In Sand Slurry ...

Q. Erosion-Corrosion In Sand Slurry Line? All sands are collected in the Inlet Slug Catcher and routed to the Desand Tank for separation. Sand Slurry lines are subject to erosi

Curvilinear motion of a partical, Consider a particle and its path of trave...

Consider a particle and its path of travel.The position of a particle P at any time t can be described by specifying its: (a)Rectangular coordinates; X,Y,Z (b)Cylindrical coordinat

Physics, what is the advantage of fan

what is the advantage of fan

Characterised punching shear failure in bearing capacity, How can punching ...

How can punching shear failure are characterised in bearing capacity? Punching Shear Failure This mode of failure is characterised by large deformations beneath the footing

Fluid mechanics, Flow through pipes in series and parallel

Flow through pipes in series and parallel

Scope of materials used in caustic service, Q. Show the scope of materials ...

Q. Show the scope of materials used in caustic service? This Engineering Practice presents metallic materials of construction commonly used in caustic service. The term 'Caust

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