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

Characteristics of computer controlled scheduling (ccs), Characteristics...

Characteristics  Of  Computer  Controlled Scheduling (Ccs) To control the manufacturing system in an effectual way, the system is normally composed in a task-based hierarchy. T

Binomial distribution, Binomial distribution: Let X follow a binomial ...

Binomial distribution: Let X follow a binomial distribution with parameters n = 4 and p = 0.5. Tabulate P ( ¦X - μ¦ ≥ k ) and σ 2 /k 2 for k = 1,2,3,4,5 and verify that Cheby

Calculate change of entropy of universe, Calculate change of entropy of uni...

Calculate change of entropy of universe: 5Kg of ice at 10 0 C is kept in atmosphere that is at 30 0 C. Calculate change of entropy of universe when it melts and comes i

Thermal Systems Analysis and Design, Create Visual Basic function ffactor(R...

Create Visual Basic function ffactor(Re, rr) that calculates the Darcy-Weisbach friction factor in a pipe or duct, where Re is the Reynolds No. and rr is the relative roughness, us

Heat Pumps, Write an essay on air, water and soil-based heat pumps. Discuss...

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

Determine the position of the neutral axis, An 8 kN.m moment is applied at ...

An 8 kN.m moment is applied at the end of a block fixed into the ground as illustrated in thefigure below. The moment vector (double arrow head representation) acts in line with th

Surveying.., what is the two purposes of surveying

what is the two purposes of surveying

Evaluate the principal stresses and principal planes, At a fixed point in a...

At a fixed point in a strained material the intensities of normal stress on the planes at right angles to each other are 20 N/mm 2 and 10 N/mm 2 . Evaluate the principal stresses

Simple Mechanisms, I have an assignment on kinematic chains.I have to tell ...

I have an assignment on kinematic chains.I have to tell the type of chain whether it is locked,constrained or unconstrained?? I am facing problem in counting number of joints,pair

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