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International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395 -0056
Volume: 04 Issue: 06 | June-2017 www.irjet.net p-ISSN: 2395-0072
© 2017, IRJET | Impact Factor value: 5.181 | ISO 9001:2008 Certified Journal | Page 194
STUDY OF TENSILE STRENGTH OF MARBLE STONE DISC BY RING TEST
Pankaj Kumar1, Umesh Dhiman2, Rubel Sharma3
1M.tech student, Dept. of Civil Engineering, GGGI College of Engg. & Technology, AMBALA, Haryana, India
2,3Assistant Professor, Dept. of Civil Engg. GGGI College of Engg. & Technology, AMBALA, Haryana, India
---------------------------------------------------------------------***---------------------------------------------------------------------
Abstract - Civil engineering projects that involve rock
materials as a prime material either as a construction or
foundation materials the combination of initial stresses
induced by the construction and function of engineering
structure produce rock failure and the extent of the failure
zone has to be analysed. So it is necessary to know how the
stresses are redistributed due to the rock structure
interaction and what the rock mass strength is.
Basically rock mass strength depends on the strength of
integral rock and the strength of rock discontinuities. A rock
mass has reduced tensile strength and reduced shear
strength depends upon micro-cracks presence on the plane
of rock mass. Rock mass strength dependent andvarieswith
the volume of rock. So the knowledge of engineering
properties of rock is an necessary requirementfordesigning
of civil engineering structures on rock masses. A various
types of rock material are used as a constructional material
in different forms of construction, which will have a higher
compressive strengthandlowertensilestrength.Lowtensile
strength is due to the subsistence ofmicrocrackspresentsin
the rock, these micro-cracks may causes of rock failing
suddenly in tension with a small strain. Tensile failure of
rock material plays an vital role in drilling, cutting and
blasting of rock stones, hydraulic fracturing of tunnels or
borehole, design of underground openings, optimum roof
span and in the designing of bolting and other roof support
systems.
Keywords- Stone sample, Brazilian test, Direct tensile test,
Ring test
1. INTRODUCTION
Information of engineering properties of rock is an essential
condition for designing various types of civil engineering
structures on rock stacks. A design engineer has to know
different rock properties such as compressive strength,
tensile strength, modulus of elasticity, unit weight and
porosity etc.
Various rocks are used as a constructional material in
diverse forms. It is well known that rocks have a high
compressive strength than any othernatural substanceused
for construction. But on the other hand it is weaker to large
extend in tension. Low tensile strength is due to the
subsistence of micro cracks in the rock. The existence of
micro cracks may also be the cause of rock failing suddenly
in tension with a small strain. Tensile failure of rock masses
also plays an important role in many engineering activities
like as drilling, cutting and blasting of rock stones, hydraulic
fracturing of a borehole or a tunnel, exploitation of rock
slopes, and excavation of horizontally bedded roof strata.
The rock mass are also subjected to tensile stresses when
located in a slope or even when it is under the foundation of
a dam in an abutment.
The tensile strength plays a main role in the design of
underground openings, optimum roof spans and in the
designing of bolting and other roof support systems.
Additionally laboratory studies carried out to conclude the
compressive strength of rock often specify that althoughthe
test sample was headed in compression, failure truly
occurred as a result of tensile stresses, i.e. specimen
normally fails when tensile stress predominate and exceed
tensile strength. The fore-goingobservationswouldstrongly
suggest that the tensile strength also be more meaningful
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395 -0056
Volume: 04 Issue: 06 | June-2017 www.irjet.net p-ISSN: 2395-0072
© 2017, IRJET | Impact Factor value: 5.181 | ISO 9001:2008 Certified Journal | Page 195
parameter for design than compressive strength. So the
tensile strength must be evaluated more carefully.
1.1 PROBLEM AND OBJECTIVE
To achieve and meet the above objectives to study the
indirect tensile strength of marble stone ring shapedsample
having inner holes of varying diameter and thickness of
sample is also varied
1.2 SCOPE OF WORK
The effect of temperature, confining pressure and rate of
loading on the strength characteristics can be studied.
Deformation behavior of ring test specimen can be studied .
For design purpose, a particular value is used. Soitisofgreat
use to know about the variations of tensile strength of a
particular rock.
Table-1: Physical Properties of white marble stone
Hardness 3 to 4 on Mohr's Scale
Density 2.5 to 2.65 Kg/m3
Compressive
Strength
1800 to 2100 Kg/cm2
Water Absorption Less than 1%
Porosity Quite low
Weather Impact Resistant
2 METHODLOGY
The White marble stone is extracted in large pieces,
typically methods of large scale blasting and collection will
not work. Then large team of workers with a series of large,
specialized equipment and products such as high capacity
extractors, cranes, tambrock machinesandchemicalsslowly
dig around the slabs of granite to break them free then they
are pulled the rock masses into the truck capable of carrying
heavy loads or are processed on site depending onthe mine..
2.1 Preparation of rock Cubes
The cutting of sample is done slowlysothatduringsampling,
there should not form any crack or micro-crack which
should affects the test result while testing the sample. Water
was admitted freely act as coolant for diamond cut off saw,
so that the cutting chips flows away from the job. Water
cools the cut-off saw and smooth cutting is carried out. The
length, width and thickness of specimen were kept constant
2.2 Preparation of rock cores
Water was admitted freely through the swivel in the core
barrel to clear the cuttings and act as a coolant for the bit.
Care is taken while extracting ring specimen.
2.3 Drying of samples
For drying the sample, the samples were kept in a drying
oven at a temperature of 60oc for 48 hours. As the
temperature is low, it did not affect the properties of rock.
Then the samples are taken out for testing purpose.
2.4 Testing Procedure
The cylindrical test sample with a central hole was placed
horizontally between the steel platesensuringlineloadingin
a Compression testing machine was loaded at constant rate.
Necessary precautions were observedsothattheloadonthe
samples was not eccentric; the load was measured with the
help of a proving ring. A series of testswereperformedusing
constant rate of deformation. Therateofdeformationwasso
chosen that the time for conducting was neither too nor it
was too less so as to fail the discs suddenly makingitdifficult
to record the reading at failure
3. RESULTS AND DISCUSSION
Determine the indirect tensile strength of white marble
stone of different diameter. Ring test determine the tensile
strength of sample From the table - 1, average tensile
strength (σt) is obtained by conducting ring test by varying
inner to outer diameter ratio (R= d/D). A sample of series P
having outer diameter of 11cm with a inner diameter of the
central holes are 0 cm,1.6 cm, 3.3cm,5cm undergoes failure
load from 27.2 KN to 4.41 KN (Compressive Loading).The
result of P Series shows that the value of R increases, the
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395 -0056
Volume: 04 Issue: 06 | June-2017 www.irjet.net p-ISSN: 2395-0072
© 2017, IRJET | Impact Factor value: 5.181 | ISO 9001:2008 Certified Journal | Page 196
tensile strength of the specimen decreases and the obtained
results are similar to the results published by Hobbs (1965).
The ring test result shows that increase in inner diameter of
ring sample causes to decrease in tensile strength of white
marble stone specimen. From the ring test, it have been
observed that the type of failure of disc is similar to that
shown by Hobbs (1965)
TABLE-1: Ring Test Result Of P series
Sam
ple
Dia
of
sa
mpl
e
'D'
in
cm
Dia.
of
cen
tral
hol
e
'd'
in
cm
R=
d/
D
Thi
ck
nes
s of
the
sa
mp
le
't
in
cm'
Fail
ure
loa
d F
in
KN
We
ight
of
sa
mpl
e
'W'
in
kg
Tensile
strengt
h
P-
S
E
RI
E
S
S1 11 0 0 1.5 27.
2
0.4
1
96.074
11697
S2 11 1.6 0.1
45
1.5 17.
6
0.3
86
62.165
6051
S3 11 3.3 0.3 1.5 13.
2
0.3
66
46.624
20382
S4 11 5 0.4
5
1.5 4.4
1
0.3
2
15.576
72264
There is two series of sample P series andQseries.InPseries
the external diameter is 11cm but in Q series the external
diameter is 12cm.Four sample in each series and every
sample different radius.The tensilestrengthdecreaseswhen
increases the radius of sample.the tensile strengthofsample
depend upon external or internal diameter of the sample
TABLE-2: Ring Test Result Of Q-Series
Sam
ple
Di
a
of
'D'
in
c
m
Dia
of
hol
e 'd'
in
cm
R=d
/D
Th
ick
ne
ss
in
cm
'
Fail
ure
load
F in
KN
We
igh
t of
sa
mp
le
kg
Tensile
strengt
h
Q-
SE
RIE
S
S5 12 0 0 1.5 32.4
1
0.4
54
104.936
8365
S6 12 1.6 0.13
3
1.5 23.8
1
0.4
5
77.0918
259
S7 12 3.3 0.27 1.5 11.4
1
0.4
22
36.9432
0594
S8 12 5 0.41 1.5 3.41 0.3
72
11.0408
7049
Chart-1: Ring Test graph for P- Series
Chart–2 Ring Test graph for Q – Series
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395 -0056
Volume: 04 Issue: 06 | June-2017 www.irjet.net p-ISSN: 2395-0072
© 2017, IRJET | Impact Factor value: 5.181 | ISO 9001:2008 Certified Journal | Page 197
COMPARISON GRAPH
Comparison of graph of P and Q series of tensile strength of
marble stone.
Chart–3 Ring Test Combined Graph for P, Q and R – Series
4. CONCLUSIONS
1 The tensile strength of sample decreasesasinnerdiameter
of sample increases, because of due to the decrease of total
volume of test specimen; the sample fails at lesser tensile
stress.
2 Increase in inner diameter of ring sample causes to
decrease in tensile strength of white marblestonespecimen.
3 The ratio R (inner dia/outer dia) versus tensile strength
plots indicates that as the ratio ‘R’ increases, tensilestrength
of samples decreases.
4 The tensile strength of rock is an experimental property
and not a material property. Because of real tensile strength
is only obtained by the direct tensile method and there are
many problems to make test specimen for direct tensile
strength test.
REFRENCES
[1] Addinall, E., Hackett, P. (1964) “Tensile failure in rock
like materials” In: Proc., 6th Symp. on Rock Mechanics,
University of Missouri at Rolla, Rolla,pp.515-538.
[2] Bienewaki, Z.T. and Mewkes, I. (1978) “Suggested
methods for determining tensile strength of rock material”,
International Journal of Rock Mechanics and Mining sci.,vol.
15, 1978, pp. 99-104.
3) Barla, G., Goffi, l. (1974) “Direct tensile testing of
anisotropic rocks”, In Proc., 3rd Int. Congr. Rock Mechanics,
Denver, 2(A), pp.93-98
4) Berenbaum, R., Brodie, I. (1959) “The tensile strength of
coal” J. Inst. Fuel.No.32, pp.320-327.
5) Colback, P.S.B, (1956) “An analysis of brittle fracture
initiation and propagation in Brazilian test”,Proceedings ofI
Congress Int.soc. Of Rock Mech., Liabon vol. 1, pp. 385-391.
6) Chun’ An Tang, John A. Hudson(2010), “Rock failure
mechanisms, illustrated and explained by Chun” Edition3rd
pp.42-60”.
7) Fairhurst, C. (1964) “On the validity of the Brazilian test
for brittle materials”, International Journal of Rock
Mechanics and Mining Sci., vol. 1, 1964, pp. 555-556.
8) Hobbs. (1964) “The tensile strength of rocks”,
International Journal of Rock Mechanics and Mining sci.,vol.
1, 1964, pp. 385-395.
9) Grosvenor, N.E. (1961) “New method for determining the
tensile strength of a rock” Trans. Soc. Min. Eng. AIME220,
pp.447-449.
10) Hudson, J.A (1959) “Tensile strength and ring test”, Int.
Jr. Rock Mech. Min. Sci, vol. 5, No.1, pp.91-97.
11) Hudson, J.A (1958) “Tensile strength and ring test”, Bit.
School of Mineral and Metallurgical Engg. University
Minnesota..
12) Hobbs, D.W. (1965) “An assessment of a technique for
determining the tensile strength of rock.” Br. J. Applied
Physics, No. 16, pp.259-268.
[13] Kahraman, S., 2003. Performance analysis of drilling
machines using rock modulus ratio. Journal of the South
African Institute of Mining and Metallurgy, 103(8), pp.515-
522.
[14] Z. A. Erguler and R. Ulusay (2009) “Water-induced
variations in mechanical properties of clay-bearing
rocks,”International Journal of Rock Mechanics and Mining
Sciences, vol. 46, no. 2, pp. 355–370.
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395 -0056
Volume: 04 Issue: 06 | June-2017 www.irjet.net p-ISSN: 2395-0072
© 2017, IRJET | Impact Factor value: 5.181 | ISO 9001:2008 Certified Journal | Page 198
[15] Perras, M.A. and Diederichs, M.S., 2014. A review of the
tensile strength of rock: concepts and testing. Geotechnical
and geological engineering, 32(2), pp.525-546.
[16] W. Li and J. Bai (2015), “Numerical modeling for yield
pillar design: a case study,”Rock Mechanics and Rock
Engineering, vol. 48, no. 1, pp. 305–318.
BIOGRAPHIES
Pankaj Kumar 1M.tech student,
Dept. of Civil Engineering, GGGI
College of Engg. & Technology,
AMBALA, Haryana, India
Umesh Dhiman AssistantProfessor,
Dept. of Civil Engg. GGGI College of
Engg. & Technology, AMBALA,
Haryana, India
2nd
Author
Photo

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Study of Tensile Strength of Marble Stone Disc by Ring Test

  • 1. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395 -0056 Volume: 04 Issue: 06 | June-2017 www.irjet.net p-ISSN: 2395-0072 © 2017, IRJET | Impact Factor value: 5.181 | ISO 9001:2008 Certified Journal | Page 194 STUDY OF TENSILE STRENGTH OF MARBLE STONE DISC BY RING TEST Pankaj Kumar1, Umesh Dhiman2, Rubel Sharma3 1M.tech student, Dept. of Civil Engineering, GGGI College of Engg. & Technology, AMBALA, Haryana, India 2,3Assistant Professor, Dept. of Civil Engg. GGGI College of Engg. & Technology, AMBALA, Haryana, India ---------------------------------------------------------------------***--------------------------------------------------------------------- Abstract - Civil engineering projects that involve rock materials as a prime material either as a construction or foundation materials the combination of initial stresses induced by the construction and function of engineering structure produce rock failure and the extent of the failure zone has to be analysed. So it is necessary to know how the stresses are redistributed due to the rock structure interaction and what the rock mass strength is. Basically rock mass strength depends on the strength of integral rock and the strength of rock discontinuities. A rock mass has reduced tensile strength and reduced shear strength depends upon micro-cracks presence on the plane of rock mass. Rock mass strength dependent andvarieswith the volume of rock. So the knowledge of engineering properties of rock is an necessary requirementfordesigning of civil engineering structures on rock masses. A various types of rock material are used as a constructional material in different forms of construction, which will have a higher compressive strengthandlowertensilestrength.Lowtensile strength is due to the subsistence ofmicrocrackspresentsin the rock, these micro-cracks may causes of rock failing suddenly in tension with a small strain. Tensile failure of rock material plays an vital role in drilling, cutting and blasting of rock stones, hydraulic fracturing of tunnels or borehole, design of underground openings, optimum roof span and in the designing of bolting and other roof support systems. Keywords- Stone sample, Brazilian test, Direct tensile test, Ring test 1. INTRODUCTION Information of engineering properties of rock is an essential condition for designing various types of civil engineering structures on rock stacks. A design engineer has to know different rock properties such as compressive strength, tensile strength, modulus of elasticity, unit weight and porosity etc. Various rocks are used as a constructional material in diverse forms. It is well known that rocks have a high compressive strength than any othernatural substanceused for construction. But on the other hand it is weaker to large extend in tension. Low tensile strength is due to the subsistence of micro cracks in the rock. The existence of micro cracks may also be the cause of rock failing suddenly in tension with a small strain. Tensile failure of rock masses also plays an important role in many engineering activities like as drilling, cutting and blasting of rock stones, hydraulic fracturing of a borehole or a tunnel, exploitation of rock slopes, and excavation of horizontally bedded roof strata. The rock mass are also subjected to tensile stresses when located in a slope or even when it is under the foundation of a dam in an abutment. The tensile strength plays a main role in the design of underground openings, optimum roof spans and in the designing of bolting and other roof support systems. Additionally laboratory studies carried out to conclude the compressive strength of rock often specify that althoughthe test sample was headed in compression, failure truly occurred as a result of tensile stresses, i.e. specimen normally fails when tensile stress predominate and exceed tensile strength. The fore-goingobservationswouldstrongly suggest that the tensile strength also be more meaningful
  • 2. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395 -0056 Volume: 04 Issue: 06 | June-2017 www.irjet.net p-ISSN: 2395-0072 © 2017, IRJET | Impact Factor value: 5.181 | ISO 9001:2008 Certified Journal | Page 195 parameter for design than compressive strength. So the tensile strength must be evaluated more carefully. 1.1 PROBLEM AND OBJECTIVE To achieve and meet the above objectives to study the indirect tensile strength of marble stone ring shapedsample having inner holes of varying diameter and thickness of sample is also varied 1.2 SCOPE OF WORK The effect of temperature, confining pressure and rate of loading on the strength characteristics can be studied. Deformation behavior of ring test specimen can be studied . For design purpose, a particular value is used. Soitisofgreat use to know about the variations of tensile strength of a particular rock. Table-1: Physical Properties of white marble stone Hardness 3 to 4 on Mohr's Scale Density 2.5 to 2.65 Kg/m3 Compressive Strength 1800 to 2100 Kg/cm2 Water Absorption Less than 1% Porosity Quite low Weather Impact Resistant 2 METHODLOGY The White marble stone is extracted in large pieces, typically methods of large scale blasting and collection will not work. Then large team of workers with a series of large, specialized equipment and products such as high capacity extractors, cranes, tambrock machinesandchemicalsslowly dig around the slabs of granite to break them free then they are pulled the rock masses into the truck capable of carrying heavy loads or are processed on site depending onthe mine.. 2.1 Preparation of rock Cubes The cutting of sample is done slowlysothatduringsampling, there should not form any crack or micro-crack which should affects the test result while testing the sample. Water was admitted freely act as coolant for diamond cut off saw, so that the cutting chips flows away from the job. Water cools the cut-off saw and smooth cutting is carried out. The length, width and thickness of specimen were kept constant 2.2 Preparation of rock cores Water was admitted freely through the swivel in the core barrel to clear the cuttings and act as a coolant for the bit. Care is taken while extracting ring specimen. 2.3 Drying of samples For drying the sample, the samples were kept in a drying oven at a temperature of 60oc for 48 hours. As the temperature is low, it did not affect the properties of rock. Then the samples are taken out for testing purpose. 2.4 Testing Procedure The cylindrical test sample with a central hole was placed horizontally between the steel platesensuringlineloadingin a Compression testing machine was loaded at constant rate. Necessary precautions were observedsothattheloadonthe samples was not eccentric; the load was measured with the help of a proving ring. A series of testswereperformedusing constant rate of deformation. Therateofdeformationwasso chosen that the time for conducting was neither too nor it was too less so as to fail the discs suddenly makingitdifficult to record the reading at failure 3. RESULTS AND DISCUSSION Determine the indirect tensile strength of white marble stone of different diameter. Ring test determine the tensile strength of sample From the table - 1, average tensile strength (σt) is obtained by conducting ring test by varying inner to outer diameter ratio (R= d/D). A sample of series P having outer diameter of 11cm with a inner diameter of the central holes are 0 cm,1.6 cm, 3.3cm,5cm undergoes failure load from 27.2 KN to 4.41 KN (Compressive Loading).The result of P Series shows that the value of R increases, the
  • 3. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395 -0056 Volume: 04 Issue: 06 | June-2017 www.irjet.net p-ISSN: 2395-0072 © 2017, IRJET | Impact Factor value: 5.181 | ISO 9001:2008 Certified Journal | Page 196 tensile strength of the specimen decreases and the obtained results are similar to the results published by Hobbs (1965). The ring test result shows that increase in inner diameter of ring sample causes to decrease in tensile strength of white marble stone specimen. From the ring test, it have been observed that the type of failure of disc is similar to that shown by Hobbs (1965) TABLE-1: Ring Test Result Of P series Sam ple Dia of sa mpl e 'D' in cm Dia. of cen tral hol e 'd' in cm R= d/ D Thi ck nes s of the sa mp le 't in cm' Fail ure loa d F in KN We ight of sa mpl e 'W' in kg Tensile strengt h P- S E RI E S S1 11 0 0 1.5 27. 2 0.4 1 96.074 11697 S2 11 1.6 0.1 45 1.5 17. 6 0.3 86 62.165 6051 S3 11 3.3 0.3 1.5 13. 2 0.3 66 46.624 20382 S4 11 5 0.4 5 1.5 4.4 1 0.3 2 15.576 72264 There is two series of sample P series andQseries.InPseries the external diameter is 11cm but in Q series the external diameter is 12cm.Four sample in each series and every sample different radius.The tensilestrengthdecreaseswhen increases the radius of sample.the tensile strengthofsample depend upon external or internal diameter of the sample TABLE-2: Ring Test Result Of Q-Series Sam ple Di a of 'D' in c m Dia of hol e 'd' in cm R=d /D Th ick ne ss in cm ' Fail ure load F in KN We igh t of sa mp le kg Tensile strengt h Q- SE RIE S S5 12 0 0 1.5 32.4 1 0.4 54 104.936 8365 S6 12 1.6 0.13 3 1.5 23.8 1 0.4 5 77.0918 259 S7 12 3.3 0.27 1.5 11.4 1 0.4 22 36.9432 0594 S8 12 5 0.41 1.5 3.41 0.3 72 11.0408 7049 Chart-1: Ring Test graph for P- Series Chart–2 Ring Test graph for Q – Series
  • 4. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395 -0056 Volume: 04 Issue: 06 | June-2017 www.irjet.net p-ISSN: 2395-0072 © 2017, IRJET | Impact Factor value: 5.181 | ISO 9001:2008 Certified Journal | Page 197 COMPARISON GRAPH Comparison of graph of P and Q series of tensile strength of marble stone. Chart–3 Ring Test Combined Graph for P, Q and R – Series 4. CONCLUSIONS 1 The tensile strength of sample decreasesasinnerdiameter of sample increases, because of due to the decrease of total volume of test specimen; the sample fails at lesser tensile stress. 2 Increase in inner diameter of ring sample causes to decrease in tensile strength of white marblestonespecimen. 3 The ratio R (inner dia/outer dia) versus tensile strength plots indicates that as the ratio ‘R’ increases, tensilestrength of samples decreases. 4 The tensile strength of rock is an experimental property and not a material property. Because of real tensile strength is only obtained by the direct tensile method and there are many problems to make test specimen for direct tensile strength test. REFRENCES [1] Addinall, E., Hackett, P. (1964) “Tensile failure in rock like materials” In: Proc., 6th Symp. on Rock Mechanics, University of Missouri at Rolla, Rolla,pp.515-538. [2] Bienewaki, Z.T. and Mewkes, I. (1978) “Suggested methods for determining tensile strength of rock material”, International Journal of Rock Mechanics and Mining sci.,vol. 15, 1978, pp. 99-104. 3) Barla, G., Goffi, l. (1974) “Direct tensile testing of anisotropic rocks”, In Proc., 3rd Int. Congr. Rock Mechanics, Denver, 2(A), pp.93-98 4) Berenbaum, R., Brodie, I. (1959) “The tensile strength of coal” J. Inst. Fuel.No.32, pp.320-327. 5) Colback, P.S.B, (1956) “An analysis of brittle fracture initiation and propagation in Brazilian test”,Proceedings ofI Congress Int.soc. Of Rock Mech., Liabon vol. 1, pp. 385-391. 6) Chun’ An Tang, John A. Hudson(2010), “Rock failure mechanisms, illustrated and explained by Chun” Edition3rd pp.42-60”. 7) Fairhurst, C. (1964) “On the validity of the Brazilian test for brittle materials”, International Journal of Rock Mechanics and Mining Sci., vol. 1, 1964, pp. 555-556. 8) Hobbs. (1964) “The tensile strength of rocks”, International Journal of Rock Mechanics and Mining sci.,vol. 1, 1964, pp. 385-395. 9) Grosvenor, N.E. (1961) “New method for determining the tensile strength of a rock” Trans. Soc. Min. Eng. AIME220, pp.447-449. 10) Hudson, J.A (1959) “Tensile strength and ring test”, Int. Jr. Rock Mech. Min. Sci, vol. 5, No.1, pp.91-97. 11) Hudson, J.A (1958) “Tensile strength and ring test”, Bit. School of Mineral and Metallurgical Engg. University Minnesota.. 12) Hobbs, D.W. (1965) “An assessment of a technique for determining the tensile strength of rock.” Br. J. Applied Physics, No. 16, pp.259-268. [13] Kahraman, S., 2003. Performance analysis of drilling machines using rock modulus ratio. Journal of the South African Institute of Mining and Metallurgy, 103(8), pp.515- 522. [14] Z. A. Erguler and R. Ulusay (2009) “Water-induced variations in mechanical properties of clay-bearing rocks,”International Journal of Rock Mechanics and Mining Sciences, vol. 46, no. 2, pp. 355–370.
  • 5. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395 -0056 Volume: 04 Issue: 06 | June-2017 www.irjet.net p-ISSN: 2395-0072 © 2017, IRJET | Impact Factor value: 5.181 | ISO 9001:2008 Certified Journal | Page 198 [15] Perras, M.A. and Diederichs, M.S., 2014. A review of the tensile strength of rock: concepts and testing. Geotechnical and geological engineering, 32(2), pp.525-546. [16] W. Li and J. Bai (2015), “Numerical modeling for yield pillar design: a case study,”Rock Mechanics and Rock Engineering, vol. 48, no. 1, pp. 305–318. BIOGRAPHIES Pankaj Kumar 1M.tech student, Dept. of Civil Engineering, GGGI College of Engg. & Technology, AMBALA, Haryana, India Umesh Dhiman AssistantProfessor, Dept. of Civil Engg. GGGI College of Engg. & Technology, AMBALA, Haryana, India 2nd Author Photo