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

Centre of gravity and moment of inertia, Centre of Gravity and Moment of In...

Centre of Gravity and Moment of Inertia: -  For a uniform plate of mass M, the overall mass may be divided into individual masses M i for which centre of gravity is known as

Mechanics of solid, determine crippling load for T section dims 12cm??12cm?...

determine crippling load for T section dims 12cm??12cm??2m and of length 6m it used as colum with one of its end fixed and other hinged E=2??10 power 5 N/mm2

Forecasting, State the need for demand forecasting?

State the need for demand forecasting?

Inspection of flange assembly, Q. Inspection of Flange assembly? Flange...

Q. Inspection of Flange assembly? Flanges shall be clean and free of old gasket fragments, scratches, burrs, pits, etc. if needed, the flange surfaces shall be cleaned with a s

Determine the reactions at beam, Determine the reactions at bea: A can...

Determine the reactions at bea: A cantilever AB, 1.8 m long is fixed at A and carries uniformly distributed load of 20 kN/m over its entire length and a point load of 30 kN at

Transverse wave stretched string, Transverse Wave Stretched String As a...

Transverse Wave Stretched String As a typical example of wave motion in one-dimension, let us consider the transverse harmonic waves on a long, taut string. We assume that in e

M.o.s, Draw the shear force and bending moment diagrams for overhanging bea...

Draw the shear force and bending moment diagrams for overhanging beam subjected to pont load at its free end

Hot and cold working, What is the difference between hot and cold working

What is the difference between hot and cold working

Design transfer facilities in plant, Q. Design Transfer Facilities in plant...

Q. Design Transfer Facilities in plant? Transfer facilities (e.g. pumps, piping, and conveyers) must be arranged so that no leaks can escape the confines of the bund / dike, an

Calculate the magnitude of maximum bending moment, Calculate the magnitude ...

Calculate the magnitude of maximum bending moment: The shear force diagram for the overhanging beam is illustrated in Figure. Draw the loading diagram & bending moment diagram

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