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This document gives the class notes of Unit-8: Torsion of circular shafts and elastic stability of columns. Subject: Mechanics of materials.
Syllabus contest is as per VTU, Belagavi, India.
Notes Compiled By: Hareesha N Gowda, Assistant Professor, DSCE, Bengaluru-78.
Strength of Materials Lecture - 2
Elastic stress and strain of materials (stress-strain diagram)
Mehran University of Engineering and Technology.
Department of Mechanical Engineering.
A tool that has a single point for cutting purpose is called single point cutting tool. It is generally used in the lathe machine, shaper machine etc. It is used to remove the materials from the workpiece.
Shanta Engineering is incepted in the year 1978. We are one of the leading manufacturers and exporters of a wide range of products. We manufacture a wide range of Testing Instruments and Equipments that are used to test rubber, plastic, cables and allied materials. Our product range includes Laboratory Testing Equipment, Cable Testing Instruments, Testing Machine and machines for agricultural application.
Our range of products are manufactured as per different standards used by our customers and also sometimes they are customized to satisfy special requirements of our customers.
With a group of experienced & talented personnel together our design & development of machine / instruments are at par with the imported testing equipments on quality basis. Although we are offering the highest quality level to match with the imported Testing Equipments, we always see to it that the cost of our all equipments are affordable to a small budget buyers. We export our product to Indian Subcontinent country.
AViTEQ Magnetic vibrators can be used very versatile. The advantages of magnetic vibrators match all designs of vibrating machines. For almost each case of application in the vibration feeder technology and over all industries magnetic vibrators are the favorite system, in particular if it depends on high dosing accuracy. Magnetic vibrators are made in Germany on a highest standard.
This document gives the class notes of Unit-8: Torsion of circular shafts and elastic stability of columns. Subject: Mechanics of materials.
Syllabus contest is as per VTU, Belagavi, India.
Notes Compiled By: Hareesha N Gowda, Assistant Professor, DSCE, Bengaluru-78.
Strength of Materials Lecture - 2
Elastic stress and strain of materials (stress-strain diagram)
Mehran University of Engineering and Technology.
Department of Mechanical Engineering.
A tool that has a single point for cutting purpose is called single point cutting tool. It is generally used in the lathe machine, shaper machine etc. It is used to remove the materials from the workpiece.
Shanta Engineering is incepted in the year 1978. We are one of the leading manufacturers and exporters of a wide range of products. We manufacture a wide range of Testing Instruments and Equipments that are used to test rubber, plastic, cables and allied materials. Our product range includes Laboratory Testing Equipment, Cable Testing Instruments, Testing Machine and machines for agricultural application.
Our range of products are manufactured as per different standards used by our customers and also sometimes they are customized to satisfy special requirements of our customers.
With a group of experienced & talented personnel together our design & development of machine / instruments are at par with the imported testing equipments on quality basis. Although we are offering the highest quality level to match with the imported Testing Equipments, we always see to it that the cost of our all equipments are affordable to a small budget buyers. We export our product to Indian Subcontinent country.
AViTEQ Magnetic vibrators can be used very versatile. The advantages of magnetic vibrators match all designs of vibrating machines. For almost each case of application in the vibration feeder technology and over all industries magnetic vibrators are the favorite system, in particular if it depends on high dosing accuracy. Magnetic vibrators are made in Germany on a highest standard.
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For maximum tensile testing throughput and capability, Tinius Olsen offers a range of horizontal tensile testing machines in capacities of 5kN (1000lbf), 25kN (5000lbf), 150kN (30,000lbf) and 300kN (60,000lbf).
These horizontal testing machines offer unique benefits over vertically oriented testers by allowing a range of accessories to be mounted next to the machine to turn it into a fully automatic testing station.
They are designed primarily for production departments and are typically in constant use; however, the grips can be modified to accommodate different shaped samples and
alternate grips can be provided for customers when test requirements change.
Web: www.TiniusOlsen.com
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A Memorandum of Association (MOA) is a legal document that outlines the fundamental principles and objectives upon which a company operates. It serves as the company's charter or constitution and defines the scope of its activities. Here's a detailed note on the MOA:
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4. 01
STRENGTHOFMATERIALLAB
UNIVERSAL TESTINGMACHINE (MECHANICAL)
SALIENTFEATURE:
Loadingaccuracy:Ashighas+ 1 %
Speeds:Straining at variable speeds to suit wide range of
materials
Facilities for tests: Motor-driven threaded columns for
quick and convenient adjustment of lower crosshead to
facilitate rapidfixingof testspecimen.
Autographic recorder: Simultaneous roll autographic
recorder supplied as standard to enable study of the
behaviors ofmaterials.
Ideal Dia: High reading accuracy due to large size ideal
design of dial.
Large columns: Large effective clearance between columns
enables testing of standard specimen aswell as structures.
Easy changeability: Easychange from plain to threaded
and screwedspecimens
Simple & Safe: Simpleto operate.
Robustconstruction
Chromeplanted metal components
Wide range of standard and special
attachments accessories available.
UNIVERSAL TESTING MACHINE
HYDRAULIC COMPUTERIZEDVERSION
APPLICATIONSYSTEM:
PeakLoadalongwith on lineload
Maximum elongation with online
elongation
Ultimate Tensile Strength
Graphical Display of load vs. time
Graphical Display of elongation vs. time
Graphic Display of load vs. elongation
Graphic Display of stress vs. strain
Complete Statistical Analysis
Data report management
SAFETY FEATURES:
Machine stops after specimen
failure
Safety against over travel of
piston
Surge protector
Auto machine diagnosis
Safety against overload State of The Art Technology
Electronic Circuit
SC Model Torque
Compensated Power Pack
Lindlay TypeExtensometer Extensometer
Universal Testing Machine Universal Testing Machine
5. 02
STRENGTHOFMATERIALLAB
Model UNITS SL-10 SL-10E SL-20 SL-20E SL-40 SL-40E SL-60 SL-60E SL-100 SL-100E SL-200 SL-200E
Max. Capacity 100 200 400 600 1000 2000
1st Measuring Range
Resolution
kN 0-100
0.20
0-200
0.40
0.02kN
0-400
0.80
0.05kN
0-600
1.00
0.05kN
0-1000
2.00
0.10kN
0-2000
4.00
0.20kN
2nd MeasuringRange
Resloution
kN 0-50
0.10
0.01kN
0-100
0.20
0-200
0.40
0-300
0.50
0-500
1.00
0-1000
2.00
3rd Measuring Range
Resolution
kN 0-25
0.05
0-50
0.10
0-100
0.20
0-120
0.20
0-250
0.50
0-500
1.00
4th MeasuringRange
Resloution
kN 0-10
0.02
0-20
0.04
0-40
0.08
0.60
0.10
0.100
0.20
0-200
0-40
Max. Clearance for
Tensile Test
mm 50-700 50-700 50-700 50-800 50-850 50-900
Max. Clearance for
Compression Test
mm 0-700 0-700 0-700 0-800 0-850 0-900
Clearance between
Columns
mm 500 500 500 600 750 850
RAM Stroke mm 150 200 200 250 250 300
Straining/Piston Speed
at no load
mm
min
0-300 0-150 0-150 0-100 0-80 0-45
Electric Supply kw 1.0 1.0 1.75 1.9 2.6 3.0
TECHNICAL DATA
STANDARD ACCESSORIES
FORTRANSVERSETEST:
TechnicalSpecifications for higher capacity machine will be sent on request.
Special accessories: This include load stabilizer, Brinell test attachment, 1800
Bend test attachment, Shear test attachment and a wide
range of accessories offering on request, at additional cost.
Installation: It is recommended that machine be erected on a foundation.
Due to Constant R& D, specification and features are subject to change without notice
Width for rollers mm 160 160 160 160 160 160
Diameters of rollers mm 30 30 30 50 50 70
Max. Clearance between
support
mm
500 500 500 600 800 900
Radius of punch Top mm 6,12 6,12 12,16 16,22 16,22 30,40
FORTENSIONTEST:
Clamping Jawsfor
round Specimen
mm 10-20
20-30
10-20
20-30
10-25
25-40
10-25
25-40
40-55
10-20
25-40
45-70
20-40
40-60
60-80
Clamping Jawsfor Flat
Specimen
mm 0-10
10-20
0-10
10-20
0-15
15-30
0-15
15-30
0-22
22-44
44-65
0-20
20-45
45-70
Width mm 50 50 65 70 70 100
For Compression Test:
Pair of compression
plate of diameter
mm 120 120 120 120 160 220
6. 03
STRENGTHOFMATERIALLAB
Impact Testing Machine(Izod)
IMPACT TESTINGMACHINE
This Pendulum impact Tester is designed for conducting CHARPY,
IZOD AND IMPACT Test. The test Method confirm to IS: 1973, and IS
1499-1977, and BS:131 Part 2 & 3-1972 IS:1598-1977, BS:131Part
I-1972
The impact energy absorbed by the specimen during rupture is
measured asthe difference between the height of drop before rupture
and the height of rise after rupture of the test specimen and is read on
the dialscale.
TECHNICAL DATA
Izod Striker Charpy Striker
Max. CAPACITYavailable upto 100kgm
also available in Electronic Digital version
Charpy Test Izod Test Impact TensionTest
A) Strikingedge A) Strikingedge A) Strikingedge
Angle : 300
+ 10
Angle : 750
Distance between forks : 36mm
Radiusof curvature: 2.25mm Radiusof curvature: 0.75 Radiusof curvature : 1mm
width : 18mm Horizontal Relief : 100
Vertical Relief : 50
B)Support B)Support B)Support
Distancebetween arm 40 mm For gripping specimen with For clamping specimen with
Slopping angle : 00
dimension of 10 x 10 mm dimensions of following
Reliefangle : 100
Diameter : 6.4 mm
Radiusof curvature: 1.25mm Length (Total) : 68 mm
Length (Measuring) : 25.4mm
Thread of supporting M10 x 1.5
Charpy and ImpactTensionTest Izod Test
Pendulum dropangle 1400
850
21'
Effectiveweight 20.59kg. 21.79kg.
Speed * 5.3465m/sec 3.857m/sec
Impactenergy 30kgm (300J) 16.4kgm(164J)
Min. graduation 2J
Distance of axis of hammer rotation and
centre of test piece/[pint of test piece hit by
hammer
825mm 825mm
Max permissiblelossbyfriction 0.5of max. impact energy
7. 04
STRENGTHOFMATERIALLAB
Torsion Testing Machine
TORISON TESTINGMACHINE
Unique "TALCON-CLAW" Grips for Round and Flat
specimens
Torisonal Speed of 0.1/0.2 RPM
Torque Compensated Motors
Maintenance FreeGearBox
Auto Range Selection with Range Selector
Wheel (Optional)
3 or 4 Torque Ranges for Higher Accuracy
(Optional)
Load-unload Capability
Variable Speed Drive (Optional)
LabTek Torsion Testing Machine is designed for conducting Torison and Twist Tests on various metal wire, tubes sheet
materials. Torque measurement by pendulum Dynamometer System. Torque ranges can be adjusted. Torque can be applied
to specimen by geared motor through gear box, Autographic recorder can be provided to know the relation between torque
and angleof twist on specific request
TECHNICAL SPECIFICATIONS
Model SL-3a SL-3b SL-3c SL-3d SL-3e SL-3f SL-3g SL-3h
Capacit
y kg-m
6 10 20 50 100 200 300 600
Ranges in
kg-m
6 & 3 10, 5 & 2 20, 10 & 5 50, 25 & 10 100, 50 & 20 200, 100
60 & 30
300,150,
100 & 60
600, 300
& 100
No. of divn.
on dial
500 500 500 500 500 500 600 600
TorsionSpeed &
Direction
Fixed one
way
Fixed
Revers
e
Fixed
Revers
e
Fixed
Revers
e
Fixed
Revers
e
Fixed
Revers
e
Fixed
Revers
e
Fixed
Revers
e
Clearance Between
Grips (mm)
0-400 0-420 0-450 0-500 0-500 0-1000 0-1000 0-1500
Grips for round
bars (mm)
4-12 4-12 7-20 10-30 10-34 20-50 30-60 40-70
Grips for flat
bars (mm)
1-5 2-8 3-10 5-12 5-15 10-20 15-25 25-40
Width (mm) 25 25 30 40 50 60 60 70
Gear motor
3 ph (ph)
0.5 0.5 0.5 0.5 0.5 2.0 3.0 5.0
Universal Spring Testing Machine Erichen Cupping Testing Machine
8. 05
STRENGTHOFMATERIALLAB
TENSILETESTINGMACHINE
TENSILETESTERSare electrically operated machines for t e st i n
g tensile strength and elongation of materials like
plywood, wires, cables, conductors, ferrous and non- ferrous
materials
TENSILETESTERSare manufactured in various capacities and
tests can be
incorporating
suitable grips
conducted on these machines by simply
appropriate traverse speeds and using in
conformity with the adopted BIS, BS,
ASTM,DIN&ISOstandards.
Tensile Testing Machine
TENSILE TESTERS are quite capable of conducting
Compression and Bending tests apart from performing
Tensileand Elongation tests.
TENSILE TESTERS are manufactured in different capacities
upto 10,000Kgf. in our LabTek ensuring + 1% accuracy in
the testresults.
TENSILETESTERSare extra elegant, best quality, durableand
accurate with matchlessperfection.
TENSILE TESTERS are also offered on specific requirements
with load graduation in kilograms. Newton Electronic up
Based & computerized Tensile Testers can also be
manufactured on specific requirements Besides a wide
range of accessories depending upon the individual
requirements, for the tests involved, of the suers and a
prompt and reliable after-sales service facilities are also
available withLabTek
Model Unit SL-2a SL-2ae SL-2b SL-2be SL-2c SL-2ce SL-2d SL-2de SL-2e SL-2ee SL-2f SL-2fe
Cap. N 2500 5000 10000 25000 50000 100000
Ranges 0-500N x 0.01 0-1000N x 0.2N 0-10000N x0.01 0-25000N x 50N 0-50000N x 50N 100000Nx200N
0-1000N x 0.01 5N 0-2500N x 0.2N 5N 0-5000N x 0.01 10N 0-10000N x 2N 20N 0-10000N x 20N 20N 0-50000Nx100N 50N
0-2500N x 0.01 0-5000N x 10N 0-2500N x 0.01 0-5000N x 1N 0-5000N x 10N 0-2500Nx50N
Traverse Speed
per specification
(mm/min) or as
300 and 100 100 100 100 100 25 and 12.5
GripSeparation
Minimum
Maximum
25mm
1000mm
25mm
1000mm
25mm
750mm
25mm
750mm
25mm
750mm
25mm
600mm
Power
Requirement
3 ph 440 V
50 Hz AC
3 ph 440 V
50 Hz AC
3 ph 440 V
50 Hz AC
3 ph 440 V
50 Hz AC
3 ph 440 V
50 Hz AC
3 ph 440 V
50 Hz AC
Over-travel
Safety Switches Included Included Included Included Included Included
Technical Data
9. 06
STRENGTHOFMATERIALLAB
ROCKWELL HARDNESSTESTER
SL-5: Manual weight selectionan Manual zeroadjustment of Dialgauge
SL-5A: Manual weight selection with Automatic zero setting dial Gauge
SL-5B: Automatic weight selectionwith automatic zerosettingdial gauge
SL-5C: Arrangement similar to SL5Bwith one additional weight of
187.5kgforBrinelltests
SL-5D: Arrangement similar to SL5Bwith two additional weight of
187.5 kg and 250kg for Brinell tests on this machine small pin
having dia 2mm can be tested asplunger is guided with a set of
sixbearings.
SL-5E: RockwellSuperficial Hardness Testerwith automatic zerosetting
dial gauge, manual load selection. The major load are N scale
besides all fifteen Rockwell Superficial scales. Can be used with
thistester
SL-5F: Thismodel isdouble purpose Hardness Testersuitable forBoth
Rockwell & Rockwell Superficial hardness test. The Major load of
15,30, 45,60, 100 and150 kgareapplied.
Rockwell Hardness Tester
STANDARD ACCESSORIES
TECHNICAL SPECIFICATIONS
Model SL5 SL5C SL5D SL5E SL5F
5A, 5B
Testing Table50mm Ø 1 Pc. 1 Pc. 1 Pc. 1 Pc. 1 Pc.
Testing Table40mm Ø
with 'V' groove for
round jobs 6 to 45 mm Ø 1 Pc. 1 Pc. 1 Pc. 1 Pc. 1 Pc.
Diamond indentor 1200
1 Pc. 1 Pc. 1 Pc. 1 Pc. 1 Pc.
Stell ball indenter 1/16" 1 Pc. 1 Pc. 1 Pc. 1 Pc. 1 Pc.
TestblockRockwell'c 1 Pc. 1 Pc. 1 Pc. Nil 1 Pc
Testblock Rockwell 'B' 1 Pc. 1 Pc. 1 Pc. Nil 1 Pc
Tetblock Rockwell SuperficialN Nil Nil Nil 1 Pc 1 Pc
Allien Spanners 2Pca 2Pcs 2Pcs 2 Pcs 2 Pcs
Clamping device 1 Pc 1 Pc 1 Pc 1 Pc 1 Pc
Dash pot oil 1 bottle 1 bottle 1 bottle 1 bottle 1 bottle
Instructional Manual 1 book 1 book 1 book 1 book 1 book
Brinell Microscope Nil 1 Pc 1 Pc Nil Nil
Stell Ball Indentor 2.5mm Nil 1 Pc 1 Pc Nil Nil
Stell Ball Indentor 5 mm Nil 1 Pc 1 Pc Nil Nil
TestBlockHB-2.5/187.5 Nil 1 Pc 1 Pc Nil Nil
Model SL-5A,5B SL- 5C SL- 5D SL- 5E SL- 5F
Max Load (kgf) 150 187.5 250 45 150
Load range (kgf) 60, 100, 150 60, 100,150,
187.5
60, 100, 150,
187.5, 250
15, 30, 45 15, 30, 45
60, 100, 150
Initial Load range (kgf) 10 10 10 - 3, 10
Max. test height (mm) 216 216 290 - 290
Depth of throat (mm) 133 133 148 148 148
Sizeof base(mm) 171 x 445 171 x 445 210 x 510 210 x 510 210, 510
Machine height (mm) 635 635 845 845 845
Nett. weight (Approx). kg. 77 77 137 137 137
Test Performed Rockwell Rockwell & Brinell Rockwell & Brinell Superficial Rockwell &
Superficial
10. 07
STRENGTHOFMATERIALLAB
FATIGUETESTINGMACHINE
SPECIFICATIONS:
Light weight, compact size, simple
design
Table
model
Simple lever system for changing
load
Accuratelycalibratedasper IS075
10 Digit electronic counter instead of mechanical counter
can be supplied at additional price and the model is termed
at additionalpriceand themodelistermedasSL-F10
Machine with maximum bending movement upto
400kg/cm canbeoffered on request
TECHNICAL SPECIFICATIONS
BRINELL HARDNESSTESTER
The machine is designed with a Hydraulic Power pack and control
circuit for effortless loading unloading operation. A dial gauge in
from measures depth of ball penetration. This facilitates
productiontesting within tolrancelimitsbycomparisonmethod.
STANDARD ACCESSORIES
TechnicalSpecification
Model Sl-3000
Max load (kgf) 3000
Load range (kgf) In stage of 250 kgf
Initial Load range (kgf) 250
Max. test height (mm) 410
Depth of throat (mm) 200
Sizeof base(mm) 670 x 370
Machine height (mm) 1127 mm
Nett. weight (Approx. Kg. 450 kg
Test Performed Brinell
Model SL3000
Testing Table200 mm Ø 1 pc.
Testing Table200 mm Ø with 'V' grove for
round jobs-10 to 80 mm dia
1 pc.
Ball holder 5 mm 1 pc.
Ball holder 10 mm 1 pc.
TestblockHB-5/750 1 pc.
Testblock HB10/3000 1 pc.
Brinell Microscope 1 pc.
Allen Spanner 1 pc.
Telescopic cover for elevating screwprotection 1 set
Instruction Manual 1 book
1) Maximum bending moment kg cm 200
2) Bending movement adjustable kg cm 0-200
3) Ranges I.kg cm
II.kg cm
30-100
100-200
4) Gripping dia of specimen mm 12
5) Testing dia of specimen mm 8
6) Rotating Speed rpm 4200
7) Accuracy of applied bending moment +1%
8) Digital counter No. of digits 100.5
9) Power required HP 220V, 50
10) Main supply A.C.Ph Hz
Fatigue Testing Machine Brinell Hardness Tester
11. 08
STRENGTHOFMATERIALLAB
METALLURGICAL INVERTEDMICROSCOPE
Magnification Range: 20x to 400 x (Standard)
Observation Head: Binocular 450
with interpupillary and
diopter adjustment
Stand: Sturdy and Durable pressure Die cast Aluminium stand.
Mechanical Stage: Co-Axial low drive double plate mechanism
system travel on ball bearing guide ways.
Focusing System: Co-axial coarse & fine mechanism system
with ball bearing guide ways.
Epi-Illumination: Built in base 12V-50W Halogen lamp with
light intensity control system.
Quadruple Nose Piece: A precision mechanism ensures the
accuracy and optical alignment of the system.
Filters: Green & Blue.
DIN-LWD Objectives: M4 x M10x, M20x & M40x (SL). Anti
Fungal & infinity corrected.
Eye Pieces: 5x & 10x Paired. Extra wide field, Anti fungal & Anti
reflected Binocular Inverted Metalugrical Microscope
SL-1008
LabTek Rectangular Muffle Furnace Maximum
Temp. 950 deg. Cworking Temp. 1200 deg. C
A. 100 x 100 x 225mm. (4" x 4" x 9")
B. 150 x 150 x 300mm. (5" x 5" x10")
C. 150 x 150 x 300mm (6" x 6" x 12")
D 200 x 200 x 300mm (8" x 8" x 12")
This is double disc polishing machine for met allographic samples.
Two independent polishing units is mounted on a common MS
frame,otherspecification aspersingledisc.
This Machine is portable model for polishing of met allographic
sample. Disc dia 200 mm made of Aluminum. Speed continuously
variable up to 950 RPM.Rating- 0.25 HPsingle phase 220 Volt
A.C. Provided with sink and swing type laboratory water tap.
Waterprrof Formicatabletop.
MUFFLEFURNACE DOUBLEDISCPOLISHING MACHINE
Double Disc Polishing Machine
SL-1009 SL-1010
Muffle Furnace
Specimen Mounting PressBelt Grinder
SL-1012SL-1011