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EFFECT OF PLOUGHING SPEED ON THE DEVELOPMENT OF STRESS ON THE
STEYR TRACTOR LIFT SYSTEM ON SANDY LOAM SOIL
BY
SULE, S1 AND J. S. JATAU2
1 AGRICULTURAL ENGINEERING DEPT, FEDERAL POLYTECHNICBAUCHI
2 MECHANICAL ENGINEERING PROGRAMME, A.T.B.U, BAUCHI
ABSTRACT The effects of ploughing speed on the development of
stress on the Steyr tractor stabilizers and brackets on a
sandy loam soil were investigated using strain gauges. It
was found that stress on these parts of the three-point
linkage system increased with speed of ploughing. The use of
a modified ‘U’ bolt was found to reduce the stress.
INTRODUCTION Technical objects, like other material objects
undergo changes with time. As a rule these changes lead to
degradation of the object and sometimes to its destruction
(Otmianowski, 1983). Otmianowski (1983) stated that most of
the agricultural machines are exposed to the harmful effect
of the environment both during work as well as the time of
storage between seasons. Furthermore, accelerated wear of
many of the parts and mechanisms exist as a result of
impurities from dust and soil. The author also stated that
many dynamic factors such as ploughing resistance act upon
the machines during work of the tillage implements.
Ploughing resistance depends not only on the type of soil
and its bulk density but also on the soil moisture content,
stony nature of the soil, amount of roots of past crops and
other factors which change within the same farmland. In the
case of harvesting machine, the dynamic loading depends on
the mass of the handled material in unit time. All
agricultural machines that work on the farm are exposed to
the dynamic effect of undulating terrain as well as rolling
friction on both loose soil and bed-like farmland,
(Otmianowski, 1983). These factors all contribute to the
development of stress on the agricultural machine elements
which may lead to breakdowns.
Stress (σ) is defined as the effect of force or load acting
on a unit area of a body. Mathematically stress is defined
as below:
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Stress,
where:
P = force or load acting on a body.
A = cross sectional area of the body
A body that is subjected to a load and hence stress
will undergo deformation. This deformation per unit length
is known as strain. This deformation may eventually bring
about the failure of the body. By failure it is not meant
actual breaking of the material. Some machine parts are said
to fail when they have plastic deformation.
Strain,
where: = change in length of the body
= original length
Solid materials respond to external forces, such as
tension, compression, torsion, bending, and shear by elastic
deformation (that is, the material returns to its original
size and form when the external force is lifted), permanent
deformation, or fracture (Microsoft Encarta, 2006).
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Tension is a pulling force that acts in one direction; an
example is the force in a cable holding a weight. Under
tension, a material usually stretches, returning to its
original length if the force does not exceed the material's
elastic limit. Under larger tensions, the material does not
return completely to its original condition, and under even
greater forces the material ruptures.
Compression is the decrease in length that results from the
application of pressure. When a material is subjected to a
bending, shearing, or torsional (twisting) force, both
tensile and compressive forces are simultaneously at work.
When a rod is bent, for example, one side of it is stretched
and subjected to a tensional force, and the other side is
compressed.
Creep is a slowly progressing, permanent deformation
that results from steady force acting on a material.
Microsoft Encarta (2006) stated that materials subjected to
high temperatures are especially susceptible to this
deformation. The gradual loosening of bolts, sagging of long
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span cables, and the deformation of components of machines
and engines are all noticeable examples of creep.
Microsoft Encarta (2006) and Kelly (2007) defined
fatigue as the progressive, localised, and permanent
structural damage that occurs when a material is subjected
to cyclic or fluctuating strains at nominal stresses that
have maximum values less than (often much less than) the
static yield strength of the material. The resulting stress
may be below the ultimate tensile stress, or even the yield
stress of the material, yet still cause catastrophic
failure.
Khurmi and Gupta (2002) stated that machine parts are
sometimes subjected to loads with impact thus producing
impact stress. A mechanical or physical shock is a sudden
acceleration or deceleration caused, for example, by impact
(Kelly
, 2007).
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When designing machine parts, it is desirable to keep
the stress lower than the maximum or ultimate stress at
which failure of the material takes place. This stress is
known as the working stress, design stress, safe or
allowable stress. Ultimate stress is defined as the largest
stress obtained by dividing the largest value of the load
reached in a test to the original cross-sectional area.
Working or design stress (Ws) is therefore expressed
as:
or
In case of ductile materials for example, mild steel
where the yield point is clearly defined, the factor of
safety is based upon the yield point stress (Chwiej , 1979).
During ploughing or in general tillage
operations, some kinds of load exist on the tractor three-
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point linkage system. This load produces stress on the
system which may be destructive. The objective of this work
is to verify the effect of speed on the development of
stress on some parts of the three-point linkage system of
the Steyr tractor on a sandy loam soil, reduce the stress if
necessary and recommend an optimum ploughing speed.
METHODS
The following materials were used in this experiment: A
fifty by thirty meters portion of land (measured out of the
irrigation plot of the Agricultural Engineering Department
of the Federal Polytechnic, Bauchi), four digital
multimeters, strain gauges, 9V batteries, resistors, cables,
Steyr 768 tractor and a metering tape, Sand paper,
detergent, water and glue.
The surfaces of the stabilizer shafts and
brackets were properly cleaned using abrasive materials,
detergent and water. They were left to dry after which the
strain gauges were carefully attached using the glue. They
were pressed firmly and allowed to dry after which they were
soldered and wired with the resistors of 47Ω each. Double
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strain gauges were used. Figure 1 shows the circuit diagram
of the electrical wiring. The portion of land described
above was collected for analysis. The soil type was
determined using the method of soil type analysis (Michael,
1990). Other properties such as soil moisture content, bulk
density were determined. The speeds of ploughing were varied
using the hand throttle .The ploughing depth was also fixed
using the depth controller.
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Vi
Vo
SG
SG RR
R
Fig. 1 Circuit Diagram for the Single Strain Gauge
Connection
Where:
R = external resistance of gauges
Vo = voltage output
Vi = input voltage.
SG = Strain gauge
The measurements were first taken with the original Steyr
‘U” bolt (plate I) in place and latter the modified “U” bolt
(plate II) was fitted for comparative measurements.
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Plate I
Steyr U-Bolt
Plate II Modified ‘U’
Bolt
The soil test showed the soil type as sandy loam
soil. During the ploughing, the stresses on the brackets and
on the stabilizer shafts were converted to voltages and read
on the digital multimeters as the output voltages. Using the
following relationships, these voltages were converted to
stress (N/m2).
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According to Kurtz et al (1984), when two gauges are used,one as a dummy,
Where Vo = Voltage out Vi = Voltage in
RESULTS AND DISCUSSION Measurements were taken on the effect of speed on
stress development on both the brackets and the stabilizers
at 13.3%MC while ploughing was done at the depth of 20cm and
the width of 1m.
It was observed that stress increased with increase
in speed of ploughing. However the increases on the right
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side of the lift system were observed to be substantially
higher than those on the left side. The maximum stress
(39N/m2) measured during the experiment is taken as the
working stress. This working stress 39N/m2 is greater than
the calculated working stress of the material (14N/m2), it
shows that there are chances of occasional increases of
stress as a result of stumps and non- uniformity of
farmlands. The presence of stumps and none uniformity of
farmlands are some of the causes of shock stress on the
Steyr lift system which is very destructive to the system
tillage. This contributes to the failures of the right
brackets and the axle of the Steyr tractor.
The graphs on figures 2 to 5 show the effect of
speed on stress development on brackets and stabilizers.
This increase of stress with speed agrees with Kamal et al,
(1999). On this soil, increase of ploughing speed above
7.0km/hr is seen to produce a sharp increase in stress on
both brackets and stabilizers. The use of the modified ‘U’
bolt is seen to reduce the stress from 39N/m2 to 3N/m2. The
modified ‘U’ bolt absorbed impact shocks leading to the
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reduction of stress that could have otherwise be
destructive.
y = 3.642x2 - 48.084x + 194.93R2 = 0.9667
y = 2.1987x2 - 29.225x + 99.984R2 = 0.9996
0
10
20
30
40
50
60
70
0 2 4 6 8 10Speed [km /hr]
Stress on Righ
t Bracket [N
/mm2]
Steyr 'U' BoltM odified 'U' BoltPoly. (Steyr 'U' Bolt)Poly. (M odified 'U' Bolt)
Fig. 2 Effect of Speed of Ploughing on Stress Development onthe Right Bracket (Sandy Loam Soil of 13.3%M.C at 20cmdepth of ploughing)
y = 4.0327x2 - 51.245x + 175.22R2 = 0.9968
y = 1.2621x2 - 16.434x + 55.606R2 = 0.9982
051015202530354045
0 2 4 6 8 10Speed [km /hr]
Stress on Left Bracket [N/mm2]
Steyr 'U' BoltM odified 'U' BoltPoly. (Steyr 'U' Bolt)Poly. (M odified 'U' Bolt)
13
Figure 3 Effect of Speed of Ploughing on Stress Developmenton the Left Bracket (Sandy Loam Soil of 13.3%M.C at 20cmdepth of ploughing)
y = 0.9971x2 - 8.4566x + 19.754R2 = 0.9738
y = 1.1778x2 - 14.395x + 46.212R2 = 0.9991
0
5
10
15
20
25
30
0 2 4 6 8 10Speed [km /hr]
Stress on Righ
t Stab. [N
/mm2]
Steyr 'U' BoltM odified 'U' BoltPoly. (Steyr 'U' Bolt)Poly. (M odified 'U' Bolt)
Figure 4 Effect of Speed of Ploughing on Stress Developmenton the Right Stabilizer (Sandy Loam Soil of 13.3%M.C at20cm depth of ploughing)
y = 2.8554x2 - 38.766x + 137.11R2 = 0.9717
y = 1.0579x2 - 13.468x + 45.451R2 = 0.9979
0
5
10
15
20
25
0 2 4 6 8 10Speed [km /hr]
Stress on Left Stab. [N/mm2]
Steyr 'U' BoltM odified 'U' BoltPoly. (Steyr 'U' Bolt)Poly. (M odified 'U' Bolt)
Figure 5 Effect of Speed of Ploughing on Stress Developmenton the Left Stabilizer (Sandy LoamSoil of 13.3%M.C at 20cm depth of ploughing)
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CONCLUSSIONIncrease of speed of ploughing with the Steyr ‘U’ bolt on
the Steyr tractor, brings about an increase of destructive
stress on the lift system and the axle.
RECOMMENDATIONIn order to avoid the breakdown of the Steyr tractor
stabilizer brackets and the axle, it is recommended that the
modified ‘U’ bolt is adopted for use on the Steyr tractor
and ploughing speed on this land is kept below 7.0km/hr.
REFERENCESKamal, A.R., Odesanmi, 0.0. and Onwualu, A.P. (1999). Effectof Speed and Depth of Cut on Draught and Power Requirementof a Disc Plough. Research and information bulletin of NCAMVol.1.
Kelly,M.S (2007) Fatigue. www.wikipedia.org
Khurmi R. S. and J. K .Gupta (2002). A Text Book of MachineDesign. Eurasia Publishing House. New Delhi.
15
Kurtz, G Lester Thompson, Paul Claar (1984). Design ofAgricultural Machinery. John Willy and Sons, New York. Pp77-111.
Chwiej, M (1979). Maszynoznastwo Ogolne. PanstwoweWydawnictwo Naukowe, Warszawa.
Microsoft Encarta (2006) Microsoft corporation
Michael A. M. (1990). Irrigation — Theory and practice.Vikas Publishing House PVT Ltd, New Delhi. pp.448-584.
Otmianowski, T. (1983). Procesy Odnowy Maszyn Rolniczych.PWRiL. Warszawa.
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