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1
CHAPTER 1.
INTRODUCTION
1.1 Tea Cultivation In India.
India is the largest producer and the largest consumer of tea in the world(31% of
global production). Total area under tea cultivation in India is 5.12 Lakh Ha. Tea
constitutes an important part of Indian life. The tea bush known as Camellia Sinensis
grows in loose, deep, acid soil, at high altitude, with summer and autumn rain, in a
little heat and little wind. In these climatic conditions most of the plants die but the tea
bush flourishes fantastically. Today tea is grown in more than 25 countries around the
world. It is cultivated as a plantation crop, grows well in acidic soil, and a warm
climate with at least 50 inches of rain per annum.
The North eastern states of India accounts for 2.8 lakh ha (55 %) of area under
tea cultivation with 455 million kg. annual production. Tea is cultivated in an area of
1.14 lakh hectares in South India with an annual production of more than 2,000 lakh
kgs. About 12.5 lakh people are employed under tea estates and factories. A tea bush
has life span of about 100 years. It loses its economical productivity after 40 or 50
years of age. Around 2,21,000 ha area which fall into vulnerable category of low
yielding areas in India is to be targeted for replantation and rejuvenation immediately.
(Anon, 2007).
In 2009 Indian Tea Association (ITA) reported that due to improving finances,
most Indian tea companies, big and small, were going in for massive replantation to
upgrade the quality of their tea (Ghosal, 2009). Replacement of the old tea plants with
new improved varieties will be necessary if economic production levels and
productivity is to be maintained, particularly in the small holder sub sector so as not to
expose the farmers to economic vulnerability.
1.2 Why old tea bushes have less economical productivity?
1. Low yields.
2. Increasing number of empty spots due to death of weak bushes.
3. Branches become thin and diseased.
4. Increasing rate of diseases of the top and of the roots.
5. Increase in the proportion of unproductive (brown and woody) tissues on tea plants.
6. Buds and crown buds are small and scarce.
7. Many shoots at the base of the bush, or sprouting up from the ground.
2
1.3 Existing Uprooting Practices
1. Manual Digging
2. Uprooting with help of elephants.
3. Uprooting by bulldozer.
4. Uprooting by tractor.
5. Rack type Uprooting Machine.
1. Manual digging
This is tedious and time consuming.(Wilson and Clifford, 1992). The manual
system of' uprooting old seedling tea bushes relies entirely on the use of hand-labour
or all the required operations like digging of stumps using hoes or any other
implement that enhances the number of stumps lifted per man-day. Within the Manual
Uprooting System there are, in turn, two alternative methods based on the type of
labour used in the operation.( G.M. Limwado, 1995)
1. Contract Labour Method involves the use of households to which a known number
of bushes is allocated at an agreed charge per bush. Under this method each
household uproots between 50 and 60 bushes per day.
2. Regular Labour Method which involves the use of the existing labour force, usually
tea pluckers, in the uprooting operations during the slack period. Under this method
each worker is able to uproot between 20 and 30 bushes per man-day.
2. Uprooting with help of elephants
Elephants should be trained for this type of practice. This method doesn’t
require any type of tool.
3. Uprooting by bulldozer
Because of heavy weight of bulldozer it causes more soil compaction. Also it
is very much costlier. Bulldozer uprooting caused highest soil compaction giving
mechanical impedance to penetration, heavy destruction of soil structure and
significantly reducing water infiltration rate compared to winching and hand
uprooting (Obaga and Othieno, 1986).
4. Uprooting by tractor
An clamping system with frame is attached to tractor 3-point linkage and with
help of hydraulic system bushes are uprooted. With the mechanical uprooting system
between 250 and 300 bushes are uprooted per tractor hour, depending on tractor size,
age and size of the seedling tea bushes, type and moisture content of the soil in the
field being uprooted. (G.M. Limwado, 1995).
3
1.4 Objectives
1. Design of a manually operated tea bush uprooting machine.
2. Fabrication of a prototype manually operated tea bush uprooting machine
3. Testing of the above prototype for the rated load in laboratory condition.
4. Trial of the above prototype for uprooting young tree plants.
4
CHAPTER 2
REVIEW OF LITERATURE
2.1 Tea reviews
Ananda coomaraswamy, et al. (2000) reported that the tea plants are grown at spacing
of 1.2 m x 0.6 m. the canopy diameter of tea plant is around 1 m to 1.2 m and tea plants from
a continuous, smooth canopy at 0.8 – 1 m height as they are planted at a close spacing.
Excavation studies shown that clonal tea has a maximum rooting depth of around 0.9m – 1 m,
but more than 90 % of the roots are located within top 0.6 m of the soil profile. The lateral
spread of the tea root system is over an area of 1.2 m in diameter.
Chattopadhyay, et al (2004) reported that tea contains a number of chemical
constituents possessing medicinal and pharmacological properties and it is expected that tea
root might also be a store house of many chemicals of medicinal and pharmacological
interest. TRE (tea root extract) was found to possess anti-inflammatory, analgesic and
antipyretic activities. The tea plants are uprooted 30-100 years after plantation, the roots are
used either for making ornamental and furniture or as a fire wood.
Rishiraj Datta (2011) have done research on a spatio – temporal analysis of tea
productivity and quality in north east india. Economic life of the tea bush is 40 – 50
years.Older plantations show a decreased yield.
2.2 Uprooting reviews
John Albert Garret, (1899) invented a transplanting tree clamp for transplanting any
size of plant without any injury. When the clamp is contracted the circular opening and
radiating arms are reduced diametrically and narrowed respectively, and when clamp is
expanded said opening is made larger and its arms are correspondingly widened.
5
Alvin E. Herz, Nutley, N.J.(1974) developed a method of tree extraction and engaging
clamp to tree stump. The clamp is used designed for extracting trees by vertical lifting force.
Tree stump holding members of clamp are shown in fig.
Fig.1 Clamp.
Sexsmith (2002) invented a mini shrub spader for unearthing and transporting trees
and shrubs. The mini shrub spader has a basketed U-blade which allows it to unearth, shape
the root ball and transport a tree or shrub utilizing the same device. The mini shrub spader is
preferably mounted to the rear of a small tractor. It is constructed of a steel frame which
houses the hydraulic systems. The frame is H-shaped having a basketed U-blade pivotally
secured to the front of the frame. The U-blade is actuated through two hydraulic cylinders
mounted on the top of the frame. The rear of the frame has a three-point hitch to allow the
mini shrub spader to be secured to a small tractor or similar towing device.
Fig. 2 Mini shrub spader.
6
K.A. Campbell, et al (2004) uprooted paper birch trees in summer using tripod and a
winch device to measure the maximum vertical force required for uprooting. He concluded
that uprooting resistance is operationally relevant not only for slope stabilization but also for
windfirmness, and tree productivity (diameter). In his study he stated pruning treatment did
not impact uprooting resistance. His study also found strong relationship between GLD
(Ground Line Diameter) and uprooting resistance.
Horváth- Szováti and Czupy (2005) determined the relation of vertical lifting power
to the diameter of the stump stumps of Norway spruce in sandy soil on the plains by 20%
water capacity.
F = 6.542 × (DSH0.6369
+ e0.041189 × DSH
-1)
Where F is the required vertical uprooting force in kN and DSH is the stump diameter in cm.
Sonal Valvi (2008) concluded that tea bush which required maximum uprooting force
of 640 kg, was having stem diameter of 6 cm and tea bush which required lowest maximum
force of 245 kg was having smallest stem diameter of 3 cm. The age of tea bushes he
experimented was 10 – 12 year.
Ola Lindroos, et al (2010) found the maximum forces required to vertically uproot
stumps of Norway spruce (Picea abies) and birch (Betula spp.). According to him stump sizes
ranges from 15 – 35 cm required uprooting force 15-150 kN.
A.S. Akinwonmi, et al (2012) designed a simple, efficient, cheap and affordable
cassava uprooting device for local cassava growing farmers. He concluded that average force
required for uprooting cassava plant was 1000 N. He used mild steel for cassava harvester
because it is cheap and easily available.
Fig.3 Cassava Uprooting Device
7
Timothy C. Dearman, (1989) invented a plant uprooting apparatus having a pair of
jaws movable relative to one another between open and closed position in response to
movement by a person of an actuating grip and linkage. The movement in one direction of
the grip is limited so that the force that must be exerted by a person to maintain the jaws in
their closed position is minimal.
Fig.4 Apparatus for uprooting plants.
2.3 Human strength
Bao and silverstein (2005) conducted experiments on one hundreds and twenty
subjects to estimate the hand grip strength and the hand force and test for muscle activities of
hand and fore arm. He collected normative data of pinch and power grip strength with a
digital dynamometer and studied about ability of hand grip force using hand dynamometer.
Estimates of normative power grip strength were 294.0 and 470.0 N for women and men,
respectively. Estimates of normative pinch group strength are 89.2 and 125.1 N for women
and men respectively. Power grip force ranges between 78.1 N to 103. 1 N while performing
three different test activities like screw driving, ratcheting and lifting/carrying
P.S. Tiwari et al (P.S. Tiwari et al) concluded that the mean values for isometric push
and pull strengths in a standing posture with both hands (in the horizontal plane) are 254.1 ±
53.0 N and 234.5 ± 43.2 N, respectively, for male subjects and 183.4 ± 35.3 N and
185.4±30.4 N, respectively, for female subjects.
K.N. Dewangan et al (2010) concluded that the mean right handgrip strength was
300.3 N, right hand push strength was 118.0 N, right hand pull strength was 148.9 N, right
leg strength was 363.2 and right foot strength was 271.4 N.
8
CHAPTER 3.
THEORETICAL CONSIDERATIONS
This chapter deals with the theoretical considerations in designing and selecting the
various components of prototype tea bush uprooting machine.
3.1 Design of tripod.
A tripod is a portable three-legged frame, used as a platform for supporting the weight
and maintaining the stability of some other object. Tripod is designed according to the
buckling analysis of its legs. Following procedure is considered for design of tripod.
3.1.1 Design considerations.
1. The legs of tripod considered as fixed-fixed ended columns.
2. Tripod should be able to withstand a load of 2000 Kg.
3. Tripod should be light in weight so that two men can easily transfer it from one bush
to another.
3.1.2 Terminology for column design
Column: A long slender bar subject to axial compression is called column.
Short Columns: A short column is usually defined as one whose slenderness ratio is less
than about 100.
Long columns: Those columns whose slenderness ratio is more than 100 for ductile material
and more than 80 for CI are called long columns.
Failure of column:
Failure of column occurs by buckling. In compression failure of short compression member
occurs by yielding of material, buckling, & hence failure of column may occur even though
the maximum stress in the bar is less than the yield point of the material.
Critical load (Pcr):
The critical load of a slender bar subject to axial compression is that value of the axial
force that is just sufficient to keep the bar in slightly deflected configuration.
Slenderness ratio:
The ratio of the length of the column to the minimum radius of gyration of the cross
sectional area is termed as the slenderness ratio.
9
Radius of gyration (k):
The radius of gyration of a body is defined as the radius at which the entire mass of
the body could be concentrated such as the resulting model will have the same moment of
inertia as original body.
√
…..Eq (3.1)
Moment of inertia (I):
Area moment of inertia is also known as second moment of inertia. It is a property of
shape that is used to predict deflection and stress in beams
Area moment of inertia of a hollow cross section:
Fig.1 Cross section of pipe.
do = Cylinder outside diameter.
di = Cylinder inside diameter.
…………..Eq.(3.2)
10
3.1.3 Determination of size of tripod according to size of plant.
Fig.5 Dimensions of tripod according to the size of plant.
Tripod is small in size and cannot be used for bigger tea plants. Height of tripod must
be 1 meter high above tea plant canopy. But available tripod is not suitable for old tea bushes
because of small height. There will be difficulty in operation.
3.1.4 Free body diagram of tripod leg
F2 = 𝐹1
cos𝛼
F1 = load acting at the centre of tripod.
F2 = load coming on the tripod leg due to ground support.
11
Required uprooting force for old tea plant is 19.6 kN. So this much force will act at the centre
of tripod during uprooting. This force will equally transmit through three legs of tripod.
Actual load coming on each leg of tripod can be calculated as;
F2 =
cos
F2 = 7.046 kN
3.1.5 Buckling load for a column with fixed ends.
In this case the ends of the column are subjected to fixing moments, MF, in addition
to axial load (fig.4 (c)). In this case the ends of the column are subjected to fixing moments,
MF, in addition to axial load.
Fig. Buckling of fixed ended columns.
……Eq(3.3)
……Eq(3.4)
Rearranging
…..Eq(3.5)
General solution of above,
⁄ ……Eq(3.6)
………. Eq(3.7)
V
P P
P P
12
When z = 0, v = 0 so that A = -MF/Pcr. Further v = 0 at z = L
…….Eq(3.8)
[
] ………Eq(3.9)
Note that again, v is indeterminate since MF cannot be found. Also since dv/dz = 0 at
z = L.
We have,
……Eq(3.10)
And kL = nπ. When n = 0, 2, 4,………
For a non-trivial solution, i.e. n ≠ 0, and taking the smallest value of buckling load
(n = 2), we have.
……Eq(3.11)
This is Euler’s formula for fixed ended columns.
3.1.6 Columns with other end constraints:
Effective length (Le):
Effective length of any column is defined as the length of pinned-pinned
column that would buckle at the same critical load as the actual column.
Table 3.1 Values of effective length for different end conditions.
Sl. No. End condition Effective length
a. Pinned-Pinned L
b. Fixed-Pinned 2L
c. Fixed-Fixed L/2
d. Fixed-Pinned 0.7L
13
3.1.7 Rankin’s-Gordon Formula:
Prediction of buckling load, by Eulers formula is only reasonable for very long
and slender struts that have very small geometrical imperfection.
Most of the struts suffer plastic knockdown and the experimentally obtained
buckling load are much less than the Euler’s prediction.
For struts in this category, a suitable formula is Rankines-Gordaon formula,
which is semi-empirical formula and takes in to account the crushing strength of the
material, it’s youngs modulus and its slenderness ratio (L/k).
L = length of strut.
K = least radius of gyration of the struts cross-section.
PC = ………Eq(3.12)
Where
A = cross sectional area.
= crushing stress.
The
……..Eq(3.13)
Where PR = Rankine – Gordon buckling load
Pcr = Eulers buckling load
Pcr =
for pin – ended strut
…..Eq(3.14)
......Eq(3.15)
…..Eq(3.16)
…..Eq(3.17)
14
……..Eq(3.18)
(
)(
)
...........Eq(3.20)
Let
…….Eq(3.21)
Thus
(
) …………Eq(3.22)
Where a is constant in Rankin – Gordon formula, which is dependent on boundary
condition and material properties.
Table 3.2 Value of
and for different material
Material
Mild steel 17500 300
Wrought iron 8000 250
Cast iron 18000 560
Timber 1000 35
3.1.8 Limitations of Euler’s formula.
Predictions of buckling loads by the Euler’s formula are only reasonable for
very long and slender struts that have very small geometrical imperfections.
Euler’s formula is valid only for the columns whose slenderness ratio is greater
than 100.
General equation for crippling load
(
) ………Eq(3.23)
15
Crippling stress:-
(
) ……….Eq(3.24)
Crippling stress will be high if slenderness ratio is small. (
) is slenderness ratio.
Crippling stress can not be more than crushing stress of column material.
For mild steel column:
Crushing stress for mild steel is 330 N/m2
Young’s modulus is 0.21 × 106 N/m
2
Now equating crippling stress to crushing stress,
( )
( )
(
)
(
) ………….Eq(3.25)
Hence if slenderness ratio is less than 80 Euler’s formula is not valid for mild steel
Table 3.3 Properties of mild steel.
1 Ultimate stress (σu) 410 Mpa
2 Yield point stress (σy) 248 Mpa
3 Crushing stress (σc) 320 Mpa
4 Allowable stress (σA) 60 Mpa
5 Rankin’s constant (a) 1/7500
6 Density (ρ) 7850 kg/m2
7 Young’s modulus (E) 210 Gpa
16
3.1.9 Calculation of crippling load for pipe size 3/4.
Length of leg pipe = 3.23 m. (shown in fig .2)
External Diameter (do) = 0.026 m
Internal Diameter (di) = 0.02 m
Cross sectional area of pipe =
(
).
=
= 2.17 × 10-4
m2.
Volume of pipe =
(
) .
=
= 7 × 10-4
m3.
Area moment of inertia
= 1.45 x 10-8
m4
Radius of gyration (k) = √
= √
= 0.0082.
Euler’s Load for fixed end condition
=
= 11510 N.
= 1174 kg.
Rankine’s Crippling load
( )
17
=
(1 1
)
= 11274 N.
= 1150 kg.
Mass of pipe =
=
= 4.82 kg.
3.1.10 Calculation of crippling load for pipe size 1.
Length of leg pipe = 3.23 m. (shown in fig.2)
External Diameter (do) = 0.033 m
Internal Diameter (di) = 0.026 m
Cross sectional area of pipe =
(
).
=
= 3.89 × 10-4
m2.
Volume of pipe =
(
) .
=
= 12.5 × 10-4
m3.
Area moment of inertia
= 4.75 x 10-8
m4.
Radius of gyration (k) = √
18
= √
= 0.011.
Euler’s Load for fixed end condition
=
= 37747 N.
= 3851 kg.
Rankine’s Crippling load
( )
=
(1 1
11)
= 32382 N.
= 3304 kg.
Mass of pipe =
=
= 9.8 kg.
3.1.11 Calculation of crippling load for pipe size 1 ¼.
Length of pipe = 3.23 m. (shown in fig 2)
External Diameter (do) = 0.042 m
Internal Diameter (di) = 0.035 m
Cross sectional area of pipe =
(
).
=
= 4.23 × 10-4
m2.
Volume of pipe =
(
) .
=
19
= 13.6 × 10-4
m3.
Area moment of inertia
= 7.9 x 10-8
m4.
Radius of gyration (k) = √
= √
= 0.0136.
Euler’s Load for fixed end condition
=
= 62747 N.
= 6402 kg.
Rankine’s Crippling load
( )
=
(1 1
1 )
= 47315 N.
= 4828 kg.
Mass of pipe =
=
= 10.7 kg.
20
3.1.12 Calculation of crippling load for pipe size 1 ½.
Length of pipe = 3.23 m. (shown in fig 2)
External Diameter (do) = 0.048 m
Internal Diameter (di) = 0.04 m
Cross sectional area of pipe =
(
).
=
= 5.53 × 10-4
m2.
Volume of pipe =
(
) .
=
= 17.8 × 10-4
m3.
Area moment of inertia
= 1.34 x 10-7
m4.
Radius of gyration (k) = √
= √
= 0.0156.
Euler’s Load for fixed end condition
=
= 107044 N.
= 10922 kg.
21
Rankine’s Crippling load
( )
=
(1 1
1 )
= 72917 N.
= 7440 kg.
Mass of pipe =
=
= 14 kg.
3.1.13 Calculation of crippling load for pipe size 2.
Length of pipe = 3.23 m. (shown in fig 2)
External Diameter (do) = 0.06 m
Internal Diameter (di) = 0.052 m
Cross sectional area of pipe =
(
).
=
= 7.03 × 10-4
m2.
Volume of pipe =
(
) .
=
= 22.7 × 10-4
m3.
Area moment of inertia
= 2.77 x 10-7
m4.
Radius of gyration (k) = √
22
= √
= 0.019.
Euler’s Load for fixed end condition
=
= 219992 N.
= 22448 kg.
Rankine’s Crippling load
( )
=
(1 1
1 )
= 119552 N.
= 12199 kg.
Mass of pipe =
=
= 17.8 kg.
23
Table 3.4 By using above Formulae and calculations crippling load is calculated for selected mild steel pipe columns.
Sl.
No.
External
dia. (m)
Internal
dia. (m)
Length.
(L)
(m)
Area.
(A)
(m2)
Volume.
(V)
(m3)
M.I.
(m4)
Radius
of
gyration
. (m)
Effective
length.
(Le)
(m)
Eulers load.
(N)
Eulers load
(kg)
By
considering Le
Rankine’s
constant
(a)
Rankine’s
load (N)
Rankine’s
load (kg)
Mass.
(kg)
(M=V
/A)
1 0.026 0.02 3.23 0.000217 0.0007 1.45 x 10-8 0.0082 3.23 2891 295 0.000133 3197 326 4.82
1.615 11510 1174 11274 1150
2.261 5901 602 6226 635
6.46 722 73 827 84
2 0.033 0.026 3.23 0.000389 0.00125 4.75 x 10-8 0.011 3.23 9436 962 0.000133 10055 1026 9.8
1.615 37747 3851 32382 3304
2.261 19258 1965 18931 1931
6.46 2359 240 2675 272
3 0.042 0.035 3.23 0.000423 0.001367 7.90 x 10-8 0.0136 3.23 15686 1600 0.000133 16030 1635 10.7
1.615 62747 6402 47315 4828
2.261 32014 3266 29126 2972
6.46 3921 400 4398 448
4 0.048 0.04 3.23 0.000553 0.001785 1.34 x 10-7 0.0156 3.23 26761 2730 0.000133 26390 2692 14
1.615 107044 10922 72917 7440
2.261 54614 5572 46617 4756
6.46 6690 682 7429 758
5 0.06 0.052 3.23 0.000703 0.002272 2.77 x 10-7 0.019 3.23 54998 5612 0.000133 49679 5069 17.8
1.615 219992 22448 119552 12199
2.261 112240 11453 82445 8412
6.46 13749 1402 14883 1518
24
3.1.14 Allowable stress calculation for compression members.
(
) ………..Eq(3.26)
K= effective length factor for compression member.
L = Length of column.
k = Radius of gyration.
√
……..Eq(3.27)
E = Young’s modulus.
Fy = Yield stress.
Allowable stress.
When, (
)
[ (
)
]
(
)
(
)
………Eq(3.28)
When, (
)
(
) ………………Eq(3.29)
25
Table 3.5 Effective length factor for various end support condition of column.
Sl. No. Support condition of
column
Effective length factor (K)
1 Pinned- Pinned 1
2 Fixed- Fixed 0.5
3 Fixed- pinned 0.7
4 Fixed free 2
Table 3.6 Calculation of allowable stress.
Sl.
No.
Pipe
dimensions
Length
of
column,
L
(m)
Effective
length
factor.
(K)
Table
3.5
Radius
of
gyration
(r)
Eq. 3.1
(
)
Slenderness
ratio.
Slenderness
ratio
Cc
Eq.3.27
Allowable
stress
Fa (Mpa)
Eq. 3.28,
3.29
do di
1 0.026 0.02 3.23 1 0.0082 393 129
7
0.5 196 28
0.7 275 14
2 787 2
2 0.033 0.026 3.23 1 0.011 292 129 13
0.5 146 51
0.7 204 26
2 584 3
3 0.042 0.035 3.23 1 0.0136 236. 129
19
0.5 118 75
0.7 165 39
2 472 5
4 0.048 0.04 3.23 1 0.0156 206 129
25
0.5 103 89
0.7 144 52
2 413 6
5 0.06 0.052 3.23 1 0.019 162 129 41
0.5 81 106
0.7 113 79
2 325 10
………Eq(3.30)
26
Table 3.7 Factor of safety for columns by using Yield strength.
Table 3.8 Calculation of safe load for columns with fixed-fixed end condition.
Sl. No. Pipe size Euler’s
load
Pcr
(kg)
(table
3.4,
column
10)
Rankin’s
load Wcr
(kg)
([table
no.4,
column
14)
Actual
load
(kg)
Calculated
above.
3.1.4
Factor of
safety
[table
no.7,
column
6]
Load
considering
safety
factor
di do
1 0.026 0.02 1180 1146 719 9 6471
2 0.033 0.026 3851 3304 719 4.8 3451
3 0.042 0.035 6402 4828 719 3.3 2372
4 0.048 0.04 10922 7440 719 2.7 1941
5 0.06 0.052 22448 12199 719 2.3 1653
Sl.
No.
Pipe size Column condition Yield
strength
(Mpa)
Given in
table 3.3
Allowable
stress
(Mpa)
Given in table
3.6, column 8.
Factor of
safety.
(Given in
Eq.3.30)
do di
1 0.026 0.02 Pinned- Pinned 248 7 35
Fixed- Fixed 28 9
Fixed- pinned 14 17
Fixed free 2 124
2 0.033 0.026 Pinned- Pinned 248 13 19
Fixed- Fixed 51 4.8
Fixed- pinned 26 9.5
Fixed free 3 82
3 0.042 0.035 Pinned- Pinned 248 19 13
Fixed- Fixed 75 3.3
Fixed- pinned 39 6.3
Fixed free 5 49
4 0.048 0.04 Pinned- Pinned 248 25 9.9
Fixed- Fixed 89 2.7
Fixed- pinned 52 4.7
Fixed free 6 41
5 0.06 0.052 Pinned- Pinned 248 41 6
Fixed- Fixed 106 2.3
Fixed- pinned 79 3.1
Fixed free 10 24
27
3.1.15 Selection of pipe:
From above calculation, we know that pipe no. 1 and 2 have Euler’s load value is
nearer to value of the load considering factor of safety.
But pipe no. 2 have Rankine’s crippling load value less than the value of load
considering factor of safety.
The pipes are made of mild steel and for mild steel there are limitations for using
Eulers design criteria as shown in Eq(3.25), so we can select pipe on the basis of Rankine’s
crippling load.
According to Rankines crippling load, Pipe of size 1 ¼ is suitable for tripod design.
28
CHAPTER 5
RESULTS AND DISCUSSION
5.1 Testing of a tripod and chain available in laboratory for strength.
Testing of tripod and chain was done simultaneously for strength. Before the test we
have selected a hard plane ground to avoid sinking of legs in soil. Tripod was kept on that
hard plane ground. For applying force on tripod we have used a hydraulic lift system, chain
and a metal rod deeply inserted in soil. Arrangement was done in such a way that, the metal
rod was to be uprooted from the soil and to uproot it there is large requirement of force and
this much amount of force is supported by tripod legs. In arrangement the hydraulic lift
system was attached in such a way that, one end was fixed to the centre of tripod and another
end was connected to the metal rod. Dynamometer was used to measure the force. Chain was
used to connect the end of hydraulic system to metal rod, so from that strength of chain can
be measured. After the arrangement we stared lifting the metal rod with the help of hydraulic
lift system. As the lifting occurs load gradually increases on the tripod and chain and the
observations were taken.
Plate.1 Testing of tripod.
29
Plate.2 Dynamometer reading
Table 5.1 Testing of tripod and chain available in laboratory
Conclusion
1. We cannot use chain for load more than 1800 kg load.
2. Slipping of chain occurred many times during operation so it takes more time to set chain
again and again.
3. Tripod can withstand for load more than 1800 kg, but is heavy in weight and difficult to
transport.
Sl. No. Breaking load (Kg) Remark
Tripod >1800 withstand
chain 1800 Broken.
30
5.2. Trials of a tripod, chain and clamp on small Akashpani trees available in the field
laboratory.
The set of trials were taken on Akashpani trees available in field. They were irrigated
one day before uprooting, because tea bushes are generally uprooted in rainy season and in
rainy season the moisture content of soil is high. Due to high moisture content of soil they
can be easily uprooted from earth.
After irrigation the actual uprooting of small trees was done with the help of a tripod
and chain pulley block. During uprooting following parameters were measured.
1. Uprooting force.
2. Time required for uprooting.
3. Girth of plant to be uprooted.
4. Time required for fixing chain/clamp.
5. Time required for transferring tripod.
6. Time required for tightening the chain.
7. Time required for removing clamp/chain.
8. Vertical displacement of chain.
9. Moisture content of soil.
31
Table 5.2 Trials of a tripod, chain and clamps available in laboratory for uprooting akashpani plants. (Date 9/3/2013)
No. of
Plant
Time taken for the followings Circumference
of the plant in
(cm)
Pull in
(kg)
Vertical
displacement
of the chain in
(cm)
Total
Time
(min)
Remarks
set the
dynamometer
in (sec)
set the clamp or
chain (sec)
tightening the
chain in (sec)
uproot the
plant in (sec)
remove the
clamp from
the plant in
(sec)
transferred the
tripod in (sec)
1 35 78 13 - 23 - 19 900 - 2.48 Unable to uproot
plant because of
chain slippage.
2 - 37 - - - 145 23 460 - 3 Unable to uproot
plant due to
chain slippage.
3 - 93 9 26 18 269 18.5 375
680
400
-
30
45
6.91 Plant
successfully
uprooted.
4 - 86 14 55 22 130 19.5 880
1350
1380
1500
-
-
-
43
5.11 Plant uprooted
successfully.
5 - 48 11 30 59 88 9 400
700
280
-
20
27
3.93 Plant uprooted
successfully.
Uprooting was
done by using
clamp.
32
6 - 49 21 230 73 210 31 1200
1700
1800
1900
-
-
30
47
9.3 Successfully
uprooted.
(Dynamometer
broken.)
Table 5.3 Trials of a tripod, chain and clamps available in laboratory for uprooting Akashpani plants. (Date 18/3/2013)
No.
of
Plant
Time taken for the followings Plant to
Plant
Distance
(m)
Circum
ference
of the
plant in
(cm)
Pull in
(kg)
Vertical
displace
ment of
the
chain in
(cm)
Total
Time
(min)
Moisture
content of soil
(%)
Remarks
set the
dynamomet
er in (sec)
set the
clamp or
chain
(sec)
tightenin
g the
chain in
(sec)
uproot the
plant in
(sec)
remove
the chain
from the
plant in
(sec)
transferre
d the
tripod in
(sec)
Tripod
Setting
time in
(sec.)
Dry
basis
Wet
basis
1 11 131 6 155 43 - - - 27.5 500
600
700
500
400
5
10
20
50
60
5.7 26.1 20.7 Successfully
Uprooted
2 - 128 11.59 112 - 22.44 25 1.36 37.3 700
800
- 4.97 - - Bolt Broken,
chain slipped,
Unable to
33
1100
1200
1500
uproot
2 - 92 21 58 68 - - - 37.3 1200
1300
1400
1480
- 3.9 - - Unable to
Uproot.
3 - 111 22 Chain
slipped
after 36
sec
- 15.82 34 1.75 28 700
850
900
1080
- 3.64 - - Chain slipped
after 36 sec.
Unable to
uproot
3 - 95 18.29 Chain
slipped
after 21
sec
87 - - - 28 600
700
800
900
- 3.68 - - Chain slipped
after 21 sec
Unable to
uproot.
34
4 - 148 9 49 51 24 29 3.43 31 700
800
1000
700
600
30.5
5.16 40 29 Successfully
uprooted
5 - 103 9 - - 25 35 3 22.5 900
1180
1300
1500
1800
2000
2.86 Unable to
Uproot
Chain broken
after 2000 kg
force.
6 - 94 18 223 106 22 27 80 25.5 900
1100
1300
1600
1780
1800
2000
43 8.16 20 16.7 Successfully
uprooted
35
7 - 159 15 85 97 56 45 4.2 27.5 700
900
1200
1500
1800
>2000
1500
800
300
38 7.61 15 13 Successfully
uprooted
36
Plate 3. Irrigating the plants before uprooting.
Plate 4. slipping of chain. Plate 5. Dynamometer reading.
37
Plate 6. uprooting the plant with the help of tripod and pulley block
Plate 7. Clamp Plate 8. Dynamometer reading
38
REFERENCES
Alvin E. Herz, Nutley, N.J.1974. Tree And Stump Extraction US patent No. 3,958,613., L. B.
Foster Company, Pittsburgh, USA.
Anandacoomarswamy, A., De costa W. A. J. M. Shyamalie, H. W. and Campbell, G S. 2000.
Factors controlling Transpiration of mature field grown tea and its relationship with yield,
Agricultureal and Forest Meterology ISSN 0168 – 1923, vol: 103, Elsevier Publications,
Amsterdam.
Bao, S. and Silverstein, B 2005. Estimation of Hand Forces in Ergonomic Job Evaluations.
Ergonomics ISSN 0014-0139, vol: 48(3), Taylor and Francis Ltd, USA.
Basu Majumder A., Bera B. and Rajan, A. 2010. Tea Statistics: Global Scenario. Inc. J. Tea
Sci. 8 (1): 121-124
Chattopadhyaya, P., Bersa, S. E., Gomes, A., Das, M, Sur, P Mitra, S. 2004. Anti Inflamatory
activity of tea root extract. Life sciences ISSN 0024-3205, vol 74.
Dr. T. H. G. Megson, 2000, STRUCTURAL AND STRESS ANALYSIS, Second edition, A
division of Reed Educational and Professional Publishing Ltd,page no. 608-612.
Dr. Kim D. Coder,2008, Tree Stump Removal From Landscapes, Warnell School of Forestry
& Natural Resources, University of Georgia.
E Yamaguchi, 1990, Structural Engineering Handbook, Boca Raton: CRC Press LLC.
G.M. Limwado. 1995 Economic assessment of alternate alternative system of old tea bush
uprooting, TRF.
H. D. Hess, 1992, Machine Design, Hoists, Derricks, Cranes, Philadelphia And London J. B.
Lippincott Company
John Case, 1999, Strength of Materials and Structures, Fourth edition, John Wiley & Sons
Inc., 605 Third Avenue,New York,NY 10158-0012.page no. 424-430
K.N. Dewangan, G. Gogoi, C. Owary, D.U. Gorate 2010 Isometric muscle strength of male
agricultural workers of India and the design of tractor controls, International Journal of
Industrial Ergonomics 40 (2010) 484 – 491.
39
Lindroos, O., Henningsson, M., Athanassiadis, D.& Nordfjell, T. 2010. Forces required to
vertically uproot tree stumps. Silva Fennica 44(4): 681–694
Mohotti, A. J., Damayanthi,M.M.N., Anandacoomaraswamy, A. & Mohotti, K. M.. Plant
Physiology Division, Tea Research Institute of Sri Lanka, Talawakele, Sri Lanka, 2008.
Comparative dynamics of tea (Camellia sinensis L.) roots under organic and conventional
management systems with special reference to water use.
P.S. Tiwari, L.P. Gite, J. Majumder, S.C. Pharade, V.V. Singh 2009. Push/pull strength of
agricultural workers in central India, International Journal of Industrial Ergonomics 40
(2010) 1–7.
Robert L. Norton, 2006, MACHINE DESIGN An Integrated Approach, Third Edition.
Pearson Education, Inc.Upper Saddle River, NJ 07458 page no. 189-198.
Tea plantation development scheme for the XI period 1-4-2007 to 31-3-2012 TEA
BOARD(Ministry of Commerce and Industries- Govt. of India)14 B.T.M. SARANI
KOLKATA-700 001.
Valvi Sonal Dattatraya, 2008, design and development of manually operated bush stalk
pulling machine. IIT kharagpur.
Wilson, K.C. Clifford, M.N 1992 Tea cultivation and consumption, Chapman and hall
Publication, 2-6 boundary row, London, UK.
William A. Nash, 1998, Schaum's Outline of Theory and Problems of STRENGTH OF
MATERIALS, Fourth Edition, McGRAW-HILL, New York, USA.356-357
40
APPENDIX-A
A.1 Chain Hoist
It helps to lift heavy load. It has two chain one is pulled by hand and another lifts the
load. It concentrates the force by transforming a small effort exerted over a long distance in
to a huge force exerted over a short distance. When hand chain is pulled it rotates the cog and
cog turns the drive shaft and gear on drive shaft. The hand chain is fit in to the seven
specially designed slots in the cog. As hand chain is pulled it turns the cog. The cog first
screw tight to the friction plate which is attached to the ratchet wheel. So as the cog plate and
ratchet wheel turns together it catch clicks on to the teeth of ratchet wheel preventing the cog
from slipping backward under the weight of load.
So in chain hoist force from hand chain get concentrated more and more. As cog turns
it also turns the drive shaft. At the other end of shaft there is a small gear with five teeth. As
that gear turn with drive shaft the force applied to cog by hand chains already started to
increase so far it’s been multiplied by 7:5 ratio which means one force on seven chain link
goes to 5 teeth on the gear.
Small gear is now turning with more force which puts stress on the teeth of gear to
decrease the stress there. That gear turns the two identical gear wheels at the same time. In
this way the stress of the small gear force is distributed across the two teeth. So the small gear
turns the 18 teeth each of the identical gear wheels. These gears have an four teeth axle on
other side. Essentially another small gears which will in turn multiply the force by ratio 18:4.
Those small gear turns the another larger gear having 19 teeth. Those teeth concentrate their
force on few links of lift chain fit in to the lug sprocket.
41
Force multiplication in chain hoist
1. No. of teeth on gear 1 (T1) = 5.
2. No. of teeth on gear 2 (T2) = 18.
3. No. of teeth on gear 3 (T3) = 4.
4. No. of teeth on gear 4 (T4) = 19.
5. Hand chain wheel no. of sprocket = 7
6. Load chain wheel no of socket = 4
Force multiplied:
= (T2/T1) x (T6/ T4) x (hand chain links pulled /load chain links to be lifted)
= (18/5) x (19/4) x (7/4)
= 29.94.
Force multiplies 30 times in chain hoist.