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International Journal of Trend in Scientific Research and Development (IJTSRD)
Volume 3 Issue 5, August 2019 Available Online: www.ijtsrd.com e-ISSN: 2456 – 6470
@ IJTSRD | Unique Paper ID – IJTSRD26628 | Volume – 3 | Issue – 5 | July - August 2019 Page 1411
Design and Pressure Analysis of Steel Silo (8000) Tons
Than Zaw Oo, Nang Yi Phoo Thet, Aung Myo San Hlaing
Department of Mechanical Engineering, Technological University, Taunggyi, Myanmar
How to cite this paper: Than Zaw Oo |
Nang Yi Phoo Thet | Aung Myo San Hlaing
"Design and PressureAnalysis ofSteelSilo
(8000) Tons"
Published in
International
Journal of Trend in
Scientific Research
and Development
(ijtsrd), ISSN: 2456-
6470, Volume-3 |
Issue-5, August 2019, pp.1411-1414,
https://doi.org/10.31142/ijtsrd26628
Copyright © 2019 by author(s) and
International Journal ofTrend inScientific
Research and Development Journal. This
is an Open Access article distributed
under the terms of
the Creative
Commons Attribution
License (CC BY 4.0)
(http://creativecommons.org/licenses/by
/4.0)
ABSTRACT
This paper describes design and load analysis of steel silo (8000) tons. They
are cement storage silo, tower silo, bunker silo, bags silo, bins, sand and salt
silo and fabric silo. Tower silos are differentiatedas concretesiloandsteel silo.
Steel silo is analyzed for more economic and safety thanothersilos.Horizontal
pressure, vertical pressure and frictional wall pressure are calculated and got
the required thickness is 8.4412 mm. But in CP Live Stock Company, the
thickness of silo wall is 6 mm and lowers than the requirement. Therefore,
stiffeners are fixed for safety. There are 78 stiffeners and wallthickness is 5.54
mm required. The total vertical stress is 162.66 kN/m2 and allowable stress
for foundation is 167.43 kN/m2. The stress of foundation is greater than total
vertical stress. Therefore, design is satisfied. The windload andwindpressure
at different heights are also calculated and based on wind speed of 44 m/s.
Wind stress is much less than the wall strength. Therefore, wind stress is
neglected and design is satisfied.
KEYWORDS: Steel silo, wall thickness, height, stress, pressure.
I. INTRODUCTION
The term drying refers generally to the removalofmoisturefroma substance.It
is one of the oldest methods, most commonly used and most energyconsuming
unit operation in the process industry. The yellow corn drying process consists
of intake receiving and cleaning line, dryer and temporary dry silo line and
storage silo and load out bin line.
Conforms temporary silos is carried by chain conveyor and
bucket elevator to the furnace. One of the furnaces use
firewood as a raw material and the other is saw- dust or
wood-dust. Corns are dried until the corn moisture from
13.5% to 13.8% and get 13.5 tons of dried corn per hour.
Dried corn is stored in dry silos and keeps 24 hours to
reduce temperature. After reducing temperature, corn is
sent to three storage silos (each silo 8,000 tons) with chain
conveyor and bucket elevator.
Figure1. Steel Silo Components [6]
Storage corn can be used anytime when needed and
extracted from four loads out bins (25 tons per bin) and it is
a storage silo and load out bin line of the dryingprocess.And
feed mill company uses 100 tons of dried corn per day for
making chicken feed. Figure (1) shows the components of a
steel silo.
The exhaust fan is placed at the top of the silo. This fan is to
remove the warm air from the silo and used in special
aeration systems where the silos are placed in a humidity
region. Vents are available in both of the elbows and round
mushroom styles to help ensure free air movement
throughout the bin. There are 18 vents on the roof. Ladderis
assembled from the floor to roof section. It provides easy
access to the man hole placed at the roof. There are 100
steps from bottom to roof. Resting platform is placed under
the man hole for safety visual check inside the silo. Roof
compression rings provide additional support and another
level of safety for those working on top of the bin.
Side wall body sheets are 8 through 20 gauge commercial
grade G-90 galvanized steel witha minimumtensilestrength
of up to 65,000 psi (448 MPa) and minimum yield strength
of up to 50,000 psi (345 MPa) to protect grain and provide
maximum strength at all levels. On taller bins, two sidewall
panels are laminated together for greater strength.Side wall
stiffener are among the strongest available to help manage
the stress and strain of weather, grain, cable and roof mount
equipment. Sidewalls are assembled using high-strength
Grade 8.2 bin seal bolts with special JS-1000 coating to
provide superior weather-resistance. Optional
polypropylene-encapsulated head bolts provide enhanced
corrosion resistance.
There are seven holes for corn outlet. But, only the middle
hole is used for safety. If the side holes are used, unexpected
losses will occur. The side holes can be used, when there is
no corn in the middle hole. When there is no flow of corn in
all the seven holes, using sweep auger to flow the corn.
IJTSRD26628
International Journal of Trend in Scientific Research and Development (IJTSRD) @ www.ijtsrd.com eISSN: 2456-6470
@ IJTSRD | Unique Paper ID – IJTSRD26628 | Volume – 3 | Issue – 5 | July - August 2019 Page 1412
Sweep auger must be keeping straight to the side man hole
for manual operating. Grease mustbechanged,afterrunning
50 hours. Foundation of the silo is of 152 concrete piles to
support it.
Large roof manhole has an ob-round shape and rotating
latch for easy entry and exit. Side manhole offers simple yet
safe access, with a one-piece outer door and four
interlocking inner panels that open in sequence from top to
bottom with a lift of a latch. Bin anchor system creates a
strong weather-tightconnectionto thefoundationprotecting
investment from wind up to 90mph. It allows for single pass
sweeping and eliminates need for entry during the
processes. The bottom tire side wall is reinforced to enter
the bin and prevent moisture penetration. The two
centrifugal aeration fans are to reduce the grain’s
temperature in the silo which operates with15hpand1,450
rpm. These cables are to determine the temperature of the
storage corn. In cable A1, there are 14 sensor points.Incable
A2 to A5, 13 sensor points and in A6 to A14, there are 12
sensor points. The temperature of the storage corn is
measured with measurement tool “StorMax”, twice a week
between 2-4 PM. To conserve the quality of products over
long-term storage, degradation processes must be slowed
down or even stopped. Degradation of grains duringstorage
depends principally on a combination of two factors:
 Temperature and Moisture
 Oxygen Content
During storage and other phases of the post-harvest system,
the combined effects of these two factors can sometimes
cause several losses. Temperature and moisture are
determining factors in accelerating or delaying the complex
phenomena of the biochemical transformation (especially
the “breathing” of the grain) that are at the origin of grain
degradation. Furthermore, they have a direct influence on
the speed of development of insects and micro-organisms
(moulds, yeast and bacteria), and on the premature and
unseasonal germination of grain. It is easy to observe that
the higher the temperature, the lower must be the moisture
of the grain in order to ensure good conservation of the
products. In view of their influence on the speed of
development of these degradation phenomena, the
temperature and moisture content of the grainconditionthe
maximal duration of storage [6].
II. Design and Wind Load Analysis of Steel Silo
In this standard, Janssen’s Theory has been used for the
assessment of bin height. The theory has been suitably
modified wherever necessary and with this the structural
adequacy and safety are ensured. In this paper, design
specifications are as follow.
A. Specification Data of Steel Silo
To design steel silo must be known diameter, height of roof
section, wall thickness and material properties.
TABLE I. DESIGN PARAMETER OF STEEL SILO
Design parameter symbol value Unit
diameter of steel silo D 28.3 m
height of roof section l 6.25 m
wall thickness t 6 mm
No. of stiffeners 78 mm
Density of corn ρ 720 Kg/m3
Table I shows the parameters considered for design of steel
silo.
B. Calculation of Capacity in Silo
The minimum thickness or maximum allowable working
pressure of cylindrical shells can be the greater thickness or
lesser pressure. When the thickness does not exceed one-
half of the inside radius, or P does not exceed η0.385σall
, the
following formulas can be applied [5].
Volume of Circular Section = ld
4
π 2
 (1)
Capacity in Circular Section = ρ × V (2)
Volume of Roof Section = hrπ
3
1 2
 (3)
Capacity in Roof Section = ρ × V (4)
C. Maximum Pressures
The maximum values of the horizontal pressures onthewall
( hP ), the vertical pressure on the horizontalcross sectionof
the stored material ( vP ) and the vertical loadtransferredto
the wall per unit area due to friction ( WP ) shall be
calculated as given in Table II.
TABLE II GRANULAR MATERIAL
Name of Pressure
During
Filling
During
Emptying
Frictional Wall
Pressure
Rγ γ. R
Horizontal Pressure
fμ
Rγ
eμ
Rγ
Vertical
Pressure ff λμ
Rγ
ee λμ
Rγ
D. Variation of Pressure along Different Depths
The variation of vhw PandP,P along thedepthofthe bin may
be obtained from the expression given below.
   










0z
z
max;ii e1PZP (5)
Where P stands for pressure and suffix is stands for w, h or v
corresponding to the pressure vhw PorP,P respectively and
assumes the values given below:
During Filling,
ff
of
λμ
R
Z  (6)
During Emptying,
ee
oe
λμ
R
Z  (7)
where, Zo=mean height, m
Z =height of corn stored, m
In general, it is not necessary to evaluate the stress resultant
in the silo wall under wind loading, except for the purposes
of evaluating the requirements forholdingdowndetails.The
reason is that the buckling failure criteria for this load case
have been developed to take intoaccounttherathercomplex
mixture of circumferential and vertical stresses thatdevelop
in silo walls under wind, so the wall stress analysis is
eliminated.
International Journal of Trend in Scientific Research and Development (IJTSRD) @ www.ijtsrd.com eISSN: 2456-6470
@ IJTSRD | Unique Paper ID – IJTSRD26628 | Volume – 3 | Issue – 5 | July - August 2019 Page 1413
E. Janssen’s Theory
Most of the weight of the material stored in the bin is
supported by friction between the material and the vertical
wall. Weight transferred to the hopper bottom is very less.
(Hence Rankine or Coulomb’s lateral pressuretheory cannot
be applied.) The vertical wall of the bin is subjected to
vertical force and horizontal pressure [4].












0z
z
h e1
μ
RW
P (8)
μλ
R
Zo

 (9)
where, z = height of corn stored, m
Z0 = mean height, m
R =
U)(parameter
A)(area
relative mean radius, m
Pv = vertical pressure, N/m2
Ph = horizontal pressure, N/m2
W = unit weight of stored material (Table A1)
A = cross section area of material stored, m2
Φ = angle of internal friction of stored material
μ = coefficient of friction of grain, ( tanμ  )
λ = pressure ratio,
v
h
P
P
The hoop tension on the wall is
 
2
D
PH max;ht  (10)
where, D = diameter of silo, m
Ht = Hoop Tension, N/m
To find the thickness of the wall,thefollowingequationmust
be taken.
t
mmperloadverticalTotal
t
H
Stress t
ComMax,  (11)
Check on Wall Pressure,
2t
DhP
hσ

 (12)
4t
DP
σ v
l

 (13)
where, σh = hoop stress, MPa
σl = longitudinal stress, MPa
t = thickness of wall, mm
F. Calculation of Foundation
For Base of Silo;
Total Vertical Stress =
SiloofArea
LoadVerticalTotal
(14)
Stress of Base =
BaseofArea
BaseofWeight
(15)
For Piles (Foundation);
Stress of Pile =
PileofArea
PileofWeight
(16)
G. Analysis of Wind Load
Buildings are subject to horizontal loads due to wind
pressure acting on the buildings. Wind load is calculated as
per IS 875(Part III) -1987. The horizontal wind pressure act
on vertical external walls and exposed area of the buildings.
Some of the pressure acting on exposed surfaces of
structural buildings is subject to horizontal loads due to
wind pressure acting on the buildings. Wind load is
calculated as IS 875(Part III)-1987. The horizontal wind
pressures act on vertical external walls and exposed area of
the buildings. Some of the pressure acting on exposed
surfaces of structural walls and columns is directly resisted
by bending of these members [4].
Design wind speed is given by the equation,
Vz= Vb× K1× K2× K3 (17)
Where, Vz =Design wind velocity, m/s
Vb = Basic wind speed, m/s
K1 = Risk Coefficient, (Table A3)
K2 = Terrain, height and structure size factor
K3 = Topography factor
III. Results and Discussion
In this paper, the results of pressure at the different height
are computed by theoretical. The resulted data forthickness
of wall sheet and number of stiffeners are obtained. The
wind load and wind pressure at different heights are also
calculated and based on wind speed of 44 m/s.
TABLE III RESULT DATA FOR PRESSURES AT THE DIFFERENT
HEIGHT
h = 9 m h = 18 m h = 26 m h = 27 m
ofZ 32.258 32.258 32.258 32.258
oeZ 20.482 20.482 20.482 20.482
Z / Zof 0.279 0.558 0.801 0.837
Z / Zoe 0.439 0.879 1.262 1.318
Pw (kN/m2) 16.913 27.837 34.125 34.859
Ph (kN/m2) 58.220 95.823 117.469 119.996
Pv (kN/m2) 62.822 110.36 142.224 146.32
Table III shows result data of pressure at the different
height. The maximum value of the horizontal pressure,
vertical pressure and frictional wall pressures are occurred
at 27 m height.
TABLE IV RESULT DATA FOR THICKNESS OF WALL SHEET
Number of
Stiffener per
Sheet
Weight of
Stiffener per
mm
Thickness of
Wall Sheet
(mm)
1 59.865 8.141
2 239.796 7.238
3 538.796 5.541
Table IV shows result data of thickness of wall sheet. The
thickness of wall sheets is 6mm used in C.P Live Stock
Company and lowers than the calculation result 8.141 mm.
Therefore, stiffeners are required for satisfied design.
International Journal of Trend in Scientific Research and Development (IJTSRD) @ www.ijtsrd.com eISSN: 2456-6470
@ IJTSRD | Unique Paper ID – IJTSRD26628 | Volume – 3 | Issue – 5 | July - August 2019 Page 1414
Figure2. Comparison of Pressure at Different Height
Figure 2 represents comparison of pressure at different
height.
TABLE V RESULT DATA FOR FOUNDATION
Values Unit
Total Vertical Stress 162.7 kN/m2
Stress of Base 24.7 kN/m2
Stress of Pile 149.7 kN/m2
Total Strength of Base 167.4 kN/m2
Table V shows result data of foundation. Total strength of
base is greater than total vertical stress. Therefore, design is
safe.
TABLE VI RESULT DATA FOR WIND PRESSURE AND WIND
LOAD
Height Wind Pressure Wind Load
10 1.3 364.8
20 1.5 418.7
30 1.6 459.6
Table VI shows result data of wind pressureand windload at
the different height. The maximum values of the wind
pressure and wind load are occurred at 30 m height.
IV. Conclusions
A complete design of steel silo (8000) tons has been
presented in this paper. In this paperanalysis ofthesteel silo
(8,000 tons) for horizontal pressure, vertical pressure and
wall pressure at differentdepths,duringfillingand emptying
has been calculated by using Janssen’s theory.Themaximum
value of the horizontal pressure, vertical pressure and
frictional wall pressures are 119.996 kN/m2, 146.32 kN/m2
and 34.859 kN/m2 at 27 m height. For 8,000 tons, there is
only 25.85 metre and pressures are 117.4697 kN/m2,
142.224 kN/m2 and 34.125 kN/m2. At horizontal
pressure117.4697 kN/m2, hoop tension is calculated for
thickness of wall sheets. The thickness of wall sheetsis 6mm
used in C.P Live Stock Company and lowers than the
calculation result 8.4412 mm. Therefore, stiffeners are
required for satisfied design.
There are three stiffeners per sheet from calculation and
thickness is decreased to 5.5413 mm. Also the wall strength
is checked by pressure vessel equation and lowers than the
yield stress. Therefore, design is satisfied. And then, the
foundation is calculated and the stress of 149.49 kN/m2is
resisted on each pile. The total vertical stress is lower than
the strength of foundation 152 piles. As a result, design is
safe. Then, the wind load and wind pressure are also
calculated. Wind stress exerted on wall is very small.
Therefore, wind stress can be neglected and design is
satisfied.
REFERENCES
[1] Adam Jan Sadowski, “Modelling of Failures in Thin Wall
Metal Silos”, Ph.D Thesis, University of Edinburgh,
United Kingdom, 2010.
[2] Dwayne R. Buxton, “Silage Science and Technology,
American Society of Agronomy”, Inc., 2003, p.1.
[3] Michael Rotter, J, “Guide for Economical Design of
Circular Metal Silos”, Spon Press, London, 2001.
[4] IS: 800 – 1998, “Code of Practice for General
Construction in Sreel”, BureauofIndianStandards,New
Delhi, 1998.
[5] Arya, A. S., Ajmani, J. L., “Design of Steel Structures”, 5th
ed., Nemchand & Bros, Roorkee, 1996.
[6] Reimbert, M., Reimbert, A., Silos Theory&Practice”,2nd
ed., Lavoisier Publishing inc, New York, 1987.
[7] Maeda, Y. and Ishizaki, S, “Analysis of Cylindrical Shells
for Design of Steel Silos”, Journal of Civil Engineering
Design, Vol. 1, No 4, pp 325-354, 1979.
0
20
40
60
80
100
120
140
160
9 18 26 27
Pressure
Height
Wall Pressure
Horizontal Pressure
Veritcal Pressure

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Design and Pressure Analysis of Steel Silo 8000 Tons

  • 1. International Journal of Trend in Scientific Research and Development (IJTSRD) Volume 3 Issue 5, August 2019 Available Online: www.ijtsrd.com e-ISSN: 2456 – 6470 @ IJTSRD | Unique Paper ID – IJTSRD26628 | Volume – 3 | Issue – 5 | July - August 2019 Page 1411 Design and Pressure Analysis of Steel Silo (8000) Tons Than Zaw Oo, Nang Yi Phoo Thet, Aung Myo San Hlaing Department of Mechanical Engineering, Technological University, Taunggyi, Myanmar How to cite this paper: Than Zaw Oo | Nang Yi Phoo Thet | Aung Myo San Hlaing "Design and PressureAnalysis ofSteelSilo (8000) Tons" Published in International Journal of Trend in Scientific Research and Development (ijtsrd), ISSN: 2456- 6470, Volume-3 | Issue-5, August 2019, pp.1411-1414, https://doi.org/10.31142/ijtsrd26628 Copyright © 2019 by author(s) and International Journal ofTrend inScientific Research and Development Journal. This is an Open Access article distributed under the terms of the Creative Commons Attribution License (CC BY 4.0) (http://creativecommons.org/licenses/by /4.0) ABSTRACT This paper describes design and load analysis of steel silo (8000) tons. They are cement storage silo, tower silo, bunker silo, bags silo, bins, sand and salt silo and fabric silo. Tower silos are differentiatedas concretesiloandsteel silo. Steel silo is analyzed for more economic and safety thanothersilos.Horizontal pressure, vertical pressure and frictional wall pressure are calculated and got the required thickness is 8.4412 mm. But in CP Live Stock Company, the thickness of silo wall is 6 mm and lowers than the requirement. Therefore, stiffeners are fixed for safety. There are 78 stiffeners and wallthickness is 5.54 mm required. The total vertical stress is 162.66 kN/m2 and allowable stress for foundation is 167.43 kN/m2. The stress of foundation is greater than total vertical stress. Therefore, design is satisfied. The windload andwindpressure at different heights are also calculated and based on wind speed of 44 m/s. Wind stress is much less than the wall strength. Therefore, wind stress is neglected and design is satisfied. KEYWORDS: Steel silo, wall thickness, height, stress, pressure. I. INTRODUCTION The term drying refers generally to the removalofmoisturefroma substance.It is one of the oldest methods, most commonly used and most energyconsuming unit operation in the process industry. The yellow corn drying process consists of intake receiving and cleaning line, dryer and temporary dry silo line and storage silo and load out bin line. Conforms temporary silos is carried by chain conveyor and bucket elevator to the furnace. One of the furnaces use firewood as a raw material and the other is saw- dust or wood-dust. Corns are dried until the corn moisture from 13.5% to 13.8% and get 13.5 tons of dried corn per hour. Dried corn is stored in dry silos and keeps 24 hours to reduce temperature. After reducing temperature, corn is sent to three storage silos (each silo 8,000 tons) with chain conveyor and bucket elevator. Figure1. Steel Silo Components [6] Storage corn can be used anytime when needed and extracted from four loads out bins (25 tons per bin) and it is a storage silo and load out bin line of the dryingprocess.And feed mill company uses 100 tons of dried corn per day for making chicken feed. Figure (1) shows the components of a steel silo. The exhaust fan is placed at the top of the silo. This fan is to remove the warm air from the silo and used in special aeration systems where the silos are placed in a humidity region. Vents are available in both of the elbows and round mushroom styles to help ensure free air movement throughout the bin. There are 18 vents on the roof. Ladderis assembled from the floor to roof section. It provides easy access to the man hole placed at the roof. There are 100 steps from bottom to roof. Resting platform is placed under the man hole for safety visual check inside the silo. Roof compression rings provide additional support and another level of safety for those working on top of the bin. Side wall body sheets are 8 through 20 gauge commercial grade G-90 galvanized steel witha minimumtensilestrength of up to 65,000 psi (448 MPa) and minimum yield strength of up to 50,000 psi (345 MPa) to protect grain and provide maximum strength at all levels. On taller bins, two sidewall panels are laminated together for greater strength.Side wall stiffener are among the strongest available to help manage the stress and strain of weather, grain, cable and roof mount equipment. Sidewalls are assembled using high-strength Grade 8.2 bin seal bolts with special JS-1000 coating to provide superior weather-resistance. Optional polypropylene-encapsulated head bolts provide enhanced corrosion resistance. There are seven holes for corn outlet. But, only the middle hole is used for safety. If the side holes are used, unexpected losses will occur. The side holes can be used, when there is no corn in the middle hole. When there is no flow of corn in all the seven holes, using sweep auger to flow the corn. IJTSRD26628
  • 2. International Journal of Trend in Scientific Research and Development (IJTSRD) @ www.ijtsrd.com eISSN: 2456-6470 @ IJTSRD | Unique Paper ID – IJTSRD26628 | Volume – 3 | Issue – 5 | July - August 2019 Page 1412 Sweep auger must be keeping straight to the side man hole for manual operating. Grease mustbechanged,afterrunning 50 hours. Foundation of the silo is of 152 concrete piles to support it. Large roof manhole has an ob-round shape and rotating latch for easy entry and exit. Side manhole offers simple yet safe access, with a one-piece outer door and four interlocking inner panels that open in sequence from top to bottom with a lift of a latch. Bin anchor system creates a strong weather-tightconnectionto thefoundationprotecting investment from wind up to 90mph. It allows for single pass sweeping and eliminates need for entry during the processes. The bottom tire side wall is reinforced to enter the bin and prevent moisture penetration. The two centrifugal aeration fans are to reduce the grain’s temperature in the silo which operates with15hpand1,450 rpm. These cables are to determine the temperature of the storage corn. In cable A1, there are 14 sensor points.Incable A2 to A5, 13 sensor points and in A6 to A14, there are 12 sensor points. The temperature of the storage corn is measured with measurement tool “StorMax”, twice a week between 2-4 PM. To conserve the quality of products over long-term storage, degradation processes must be slowed down or even stopped. Degradation of grains duringstorage depends principally on a combination of two factors:  Temperature and Moisture  Oxygen Content During storage and other phases of the post-harvest system, the combined effects of these two factors can sometimes cause several losses. Temperature and moisture are determining factors in accelerating or delaying the complex phenomena of the biochemical transformation (especially the “breathing” of the grain) that are at the origin of grain degradation. Furthermore, they have a direct influence on the speed of development of insects and micro-organisms (moulds, yeast and bacteria), and on the premature and unseasonal germination of grain. It is easy to observe that the higher the temperature, the lower must be the moisture of the grain in order to ensure good conservation of the products. In view of their influence on the speed of development of these degradation phenomena, the temperature and moisture content of the grainconditionthe maximal duration of storage [6]. II. Design and Wind Load Analysis of Steel Silo In this standard, Janssen’s Theory has been used for the assessment of bin height. The theory has been suitably modified wherever necessary and with this the structural adequacy and safety are ensured. In this paper, design specifications are as follow. A. Specification Data of Steel Silo To design steel silo must be known diameter, height of roof section, wall thickness and material properties. TABLE I. DESIGN PARAMETER OF STEEL SILO Design parameter symbol value Unit diameter of steel silo D 28.3 m height of roof section l 6.25 m wall thickness t 6 mm No. of stiffeners 78 mm Density of corn ρ 720 Kg/m3 Table I shows the parameters considered for design of steel silo. B. Calculation of Capacity in Silo The minimum thickness or maximum allowable working pressure of cylindrical shells can be the greater thickness or lesser pressure. When the thickness does not exceed one- half of the inside radius, or P does not exceed η0.385σall , the following formulas can be applied [5]. Volume of Circular Section = ld 4 π 2  (1) Capacity in Circular Section = ρ × V (2) Volume of Roof Section = hrπ 3 1 2  (3) Capacity in Roof Section = ρ × V (4) C. Maximum Pressures The maximum values of the horizontal pressures onthewall ( hP ), the vertical pressure on the horizontalcross sectionof the stored material ( vP ) and the vertical loadtransferredto the wall per unit area due to friction ( WP ) shall be calculated as given in Table II. TABLE II GRANULAR MATERIAL Name of Pressure During Filling During Emptying Frictional Wall Pressure Rγ γ. R Horizontal Pressure fμ Rγ eμ Rγ Vertical Pressure ff λμ Rγ ee λμ Rγ D. Variation of Pressure along Different Depths The variation of vhw PandP,P along thedepthofthe bin may be obtained from the expression given below.               0z z max;ii e1PZP (5) Where P stands for pressure and suffix is stands for w, h or v corresponding to the pressure vhw PorP,P respectively and assumes the values given below: During Filling, ff of λμ R Z  (6) During Emptying, ee oe λμ R Z  (7) where, Zo=mean height, m Z =height of corn stored, m In general, it is not necessary to evaluate the stress resultant in the silo wall under wind loading, except for the purposes of evaluating the requirements forholdingdowndetails.The reason is that the buckling failure criteria for this load case have been developed to take intoaccounttherathercomplex mixture of circumferential and vertical stresses thatdevelop in silo walls under wind, so the wall stress analysis is eliminated.
  • 3. International Journal of Trend in Scientific Research and Development (IJTSRD) @ www.ijtsrd.com eISSN: 2456-6470 @ IJTSRD | Unique Paper ID – IJTSRD26628 | Volume – 3 | Issue – 5 | July - August 2019 Page 1413 E. Janssen’s Theory Most of the weight of the material stored in the bin is supported by friction between the material and the vertical wall. Weight transferred to the hopper bottom is very less. (Hence Rankine or Coulomb’s lateral pressuretheory cannot be applied.) The vertical wall of the bin is subjected to vertical force and horizontal pressure [4].             0z z h e1 μ RW P (8) μλ R Zo   (9) where, z = height of corn stored, m Z0 = mean height, m R = U)(parameter A)(area relative mean radius, m Pv = vertical pressure, N/m2 Ph = horizontal pressure, N/m2 W = unit weight of stored material (Table A1) A = cross section area of material stored, m2 Φ = angle of internal friction of stored material μ = coefficient of friction of grain, ( tanμ  ) λ = pressure ratio, v h P P The hoop tension on the wall is   2 D PH max;ht  (10) where, D = diameter of silo, m Ht = Hoop Tension, N/m To find the thickness of the wall,thefollowingequationmust be taken. t mmperloadverticalTotal t H Stress t ComMax,  (11) Check on Wall Pressure, 2t DhP hσ   (12) 4t DP σ v l   (13) where, σh = hoop stress, MPa σl = longitudinal stress, MPa t = thickness of wall, mm F. Calculation of Foundation For Base of Silo; Total Vertical Stress = SiloofArea LoadVerticalTotal (14) Stress of Base = BaseofArea BaseofWeight (15) For Piles (Foundation); Stress of Pile = PileofArea PileofWeight (16) G. Analysis of Wind Load Buildings are subject to horizontal loads due to wind pressure acting on the buildings. Wind load is calculated as per IS 875(Part III) -1987. The horizontal wind pressure act on vertical external walls and exposed area of the buildings. Some of the pressure acting on exposed surfaces of structural buildings is subject to horizontal loads due to wind pressure acting on the buildings. Wind load is calculated as IS 875(Part III)-1987. The horizontal wind pressures act on vertical external walls and exposed area of the buildings. Some of the pressure acting on exposed surfaces of structural walls and columns is directly resisted by bending of these members [4]. Design wind speed is given by the equation, Vz= Vb× K1× K2× K3 (17) Where, Vz =Design wind velocity, m/s Vb = Basic wind speed, m/s K1 = Risk Coefficient, (Table A3) K2 = Terrain, height and structure size factor K3 = Topography factor III. Results and Discussion In this paper, the results of pressure at the different height are computed by theoretical. The resulted data forthickness of wall sheet and number of stiffeners are obtained. The wind load and wind pressure at different heights are also calculated and based on wind speed of 44 m/s. TABLE III RESULT DATA FOR PRESSURES AT THE DIFFERENT HEIGHT h = 9 m h = 18 m h = 26 m h = 27 m ofZ 32.258 32.258 32.258 32.258 oeZ 20.482 20.482 20.482 20.482 Z / Zof 0.279 0.558 0.801 0.837 Z / Zoe 0.439 0.879 1.262 1.318 Pw (kN/m2) 16.913 27.837 34.125 34.859 Ph (kN/m2) 58.220 95.823 117.469 119.996 Pv (kN/m2) 62.822 110.36 142.224 146.32 Table III shows result data of pressure at the different height. The maximum value of the horizontal pressure, vertical pressure and frictional wall pressures are occurred at 27 m height. TABLE IV RESULT DATA FOR THICKNESS OF WALL SHEET Number of Stiffener per Sheet Weight of Stiffener per mm Thickness of Wall Sheet (mm) 1 59.865 8.141 2 239.796 7.238 3 538.796 5.541 Table IV shows result data of thickness of wall sheet. The thickness of wall sheets is 6mm used in C.P Live Stock Company and lowers than the calculation result 8.141 mm. Therefore, stiffeners are required for satisfied design.
  • 4. International Journal of Trend in Scientific Research and Development (IJTSRD) @ www.ijtsrd.com eISSN: 2456-6470 @ IJTSRD | Unique Paper ID – IJTSRD26628 | Volume – 3 | Issue – 5 | July - August 2019 Page 1414 Figure2. Comparison of Pressure at Different Height Figure 2 represents comparison of pressure at different height. TABLE V RESULT DATA FOR FOUNDATION Values Unit Total Vertical Stress 162.7 kN/m2 Stress of Base 24.7 kN/m2 Stress of Pile 149.7 kN/m2 Total Strength of Base 167.4 kN/m2 Table V shows result data of foundation. Total strength of base is greater than total vertical stress. Therefore, design is safe. TABLE VI RESULT DATA FOR WIND PRESSURE AND WIND LOAD Height Wind Pressure Wind Load 10 1.3 364.8 20 1.5 418.7 30 1.6 459.6 Table VI shows result data of wind pressureand windload at the different height. The maximum values of the wind pressure and wind load are occurred at 30 m height. IV. Conclusions A complete design of steel silo (8000) tons has been presented in this paper. In this paperanalysis ofthesteel silo (8,000 tons) for horizontal pressure, vertical pressure and wall pressure at differentdepths,duringfillingand emptying has been calculated by using Janssen’s theory.Themaximum value of the horizontal pressure, vertical pressure and frictional wall pressures are 119.996 kN/m2, 146.32 kN/m2 and 34.859 kN/m2 at 27 m height. For 8,000 tons, there is only 25.85 metre and pressures are 117.4697 kN/m2, 142.224 kN/m2 and 34.125 kN/m2. At horizontal pressure117.4697 kN/m2, hoop tension is calculated for thickness of wall sheets. The thickness of wall sheetsis 6mm used in C.P Live Stock Company and lowers than the calculation result 8.4412 mm. Therefore, stiffeners are required for satisfied design. There are three stiffeners per sheet from calculation and thickness is decreased to 5.5413 mm. Also the wall strength is checked by pressure vessel equation and lowers than the yield stress. Therefore, design is satisfied. And then, the foundation is calculated and the stress of 149.49 kN/m2is resisted on each pile. The total vertical stress is lower than the strength of foundation 152 piles. As a result, design is safe. Then, the wind load and wind pressure are also calculated. Wind stress exerted on wall is very small. Therefore, wind stress can be neglected and design is satisfied. REFERENCES [1] Adam Jan Sadowski, “Modelling of Failures in Thin Wall Metal Silos”, Ph.D Thesis, University of Edinburgh, United Kingdom, 2010. [2] Dwayne R. Buxton, “Silage Science and Technology, American Society of Agronomy”, Inc., 2003, p.1. [3] Michael Rotter, J, “Guide for Economical Design of Circular Metal Silos”, Spon Press, London, 2001. [4] IS: 800 – 1998, “Code of Practice for General Construction in Sreel”, BureauofIndianStandards,New Delhi, 1998. [5] Arya, A. S., Ajmani, J. L., “Design of Steel Structures”, 5th ed., Nemchand & Bros, Roorkee, 1996. [6] Reimbert, M., Reimbert, A., Silos Theory&Practice”,2nd ed., Lavoisier Publishing inc, New York, 1987. [7] Maeda, Y. and Ishizaki, S, “Analysis of Cylindrical Shells for Design of Steel Silos”, Journal of Civil Engineering Design, Vol. 1, No 4, pp 325-354, 1979. 0 20 40 60 80 100 120 140 160 9 18 26 27 Pressure Height Wall Pressure Horizontal Pressure Veritcal Pressure