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Experiment no 1: object:
To study Olsen Universal Testing Machine and it’s operation.

Apparatus:
Tinius Olsen Universal Testing Machine

Theory:
This universal testing machine is intended only for static type of mechanical tests. The loading is done by hydraulic mechanism. This machine can be adopted for many special applications and a large variety of tests can be performed on this machine using proper attachments, for example tensile test, bending test, shearing test, torsion test.

Components:

Loading Mechanism:

The loading application is accomplished by a hydraulic piston & cylinder located at the base. The hydraulic pressure is developed by a gear pump. The pump in combination with automatic valve provided uniform rates of loading. Safety valves protect the gauges from overload. The speed of loading is controlled by pilot hand wheel and due to this valve arrangement (load/unload), load may be easily applied and removed or held constant. Construction of entire loading unit is very rugged and compact. Hydraulic oil of Grade SAE 40 is used. The capacity of oil reservoir is 13 gallons.

Indicating Mechanism:

Loads on Universal testing machine are indicated on precision type hydraulic gauges, which are mounted on the instrument panel. These gauges are provided with maximum pointers.

Operation:

Loads on this machine are indicated on two hydraulic gauges. Application of all test loads (compression/tension) is accompanied by the upward movement of piston. The lower cross heads may be adjusted by using cross head adjusting crank to any desired position. For tensile loading the test specimen is mounted on the upper side on the lower head. For compressive loading the test specimen is mounted on the lower side of lower head.

Zero Setting:

All zero setting must be made with specimen, testing.

Shut Down:

Close the load completely. Open the unload valve slowly and gradually. After piston completely sets to its seat (the load pointer suddenly drops below the zero load mark). Close the unload valve. Stop the pump by pressing the stop button. Close the gauge valve.

Care and Maintenance:

Object:
To determine the Modulus of Elasticity of a given specimen and draw stress-strain diagram.

Apparatus:
Universal Testing Machine, given specimen

Theory:
In the course of operation all articles are subject to the action of external forces, which creates stresses that inevitably cause deformation. To keep these stresses within permissible limits, it is necessary to select suitable material. A comprehensive knowledge of mechanical characteristics of metal products (strength, ductility, malleability, creep etc.) is essential for this purpose. The mechanical properties quoted in different books of materials are based on different mechanical tests.

Mechanical tests are those in which specially prepared specimens of standard size are tested on special machine to obtain different mechanical properties of metals. Mechanical tests are conducted under various loading conditions. They may be:

Tensile Test:

Considerable information about the properties of a material can be obtained from uniaxial tensile test. Tensile test is of static type, i.e., load is increased slowly from zero to a certain final value. Standard specimens are designed to produce uniform uniaxial tension in the central portion and to ensure reduced stresses in the sections is gripped. The mechanical properties in tension are determined on the gauge loading.

After loading is applied, it will be noted that up to a certain stress, the strain is directly proportional to stress (obeys Hooke’s law).

After plotting strain on horizontal axis and stress on vertical axis, the prominent features of a stress-strain curve are:

Observation:

For Aluminum

Load 

Extension

Load

Extension

(lbs)

(in)

(lbs)

(in)

0

0

2100

213

100

32

2200

229

200

38

2300

247

300

46

2400

265

400

53

2500

280

500

62

2600

298

600

70

2700

320

700

78

2800

344

800

86

2900

371

900

94

3000

394

1000

103

3100

428

1100

111

3200

471

1200

120

3300

538

1300

128

3380

680

1400

137

3300

706

1500

146

3200

730

1600

156

3100

745

1700

164

3000

760

1800

173

2900

772

1900

187

2800

782

2000

200

2700

796

Calculations:

Stress = Force/Area

Strain = Change in length/Original Length

For Aluminum:

Stress

Strain

Stress

Strain

lb/in2

lb/in2

0

0

19004.52

0.1065

904.978

0.016

19909.5

0.1145

1809.95

0.019

20814.48

0.1235

2714.93

0.023

21719.45

0.1325

3619.9

0.0265

22624.43

0.14

4527.89

0.031

23529.41

0.149

5429.87

0.035

24434.39

0.16

6334.84

0.039

25339.37

0.172

7239.82

0.043

26244.34

0.1855

8144.79

0.047

27149.32

0.197

9049.77

0.0515

28054.29

0.214

9954.75

0.0555

28959.27

0.2355

10859.73

0.06

29864.25

0.269

11764.7

0.064

30588.24

0.34

12669.69

0.0685

29864.25

0.353

13574.66

0.073

28959.27

0.265

14479.6

0.078

28054.29

0.3725

15384.61

0.082

27149.32

0.38

16289.59

0.0865

26244.34

0.386

17194.57

0.0935

25339.37

0.391

18099.54

0.1

24434.39

0.398

        E =     Stress
                  Strain

Graphically

E = 4000/0.03

= 133.333 kips

For Mild Steel

Stress

Strain

Stress

Strain

Lb/in2

lb/in2

0

0

59675

0.1125

3978

0.009

63653

0.1195

7956

0.018

67632

0.125

11935

0.028

71610

0.132

15913

0.038

75588

0.1385

19891

0.045

79567

0.1455

23870

0.0525

83545

0.151

27848

0.0595

87523

0.1595

31826

0.0655

91502

0.165

35805

0.073

95480

0.1735

39783

0.08

91502

0.2235

43761

0.0865

87523

0.2395

47740

0.0935

83545

0.2475

51718

0.1

79567

0.2575

55697

0.106

75588

0.265

71610

0.2725

E = Stress
      Strain

Graphically

E = 39783/0.08

= 497.287 kips
 
 


EXPERIMENT NO. 3



OBJECT:

To determine the shear stress of given wooden specimen.

APPARATUS:

Universal testing machine, wooden shearing attachment, wooden specimen.

THEORY:

Shear stress: The stress that is caused by forces acting along or parallel to the area.

Or

Internal reacting shear force is expressed as force per unit area.

It is also termed as tangential stress.

A shearing stress is produced whenever applied loads cause one section of body to tend to slide past its adjacent section.

Properties of timber:

Timber has been used as a structural material since pre historic times. We use more wood than we do any other engineering material. Wood has three noticeable characteristics

Natural wood is a complex fiber reinforced material. Hard wood is obtained from deciduous trees & softwood obtained from evergreen, have similar structure.

Several factors influence the behavior of wood. The moisture content in timber, age of timber & type of timber. During drying, the wood shrinks & cracking may occur.

Wood is highly anisotropic. Because of the orientation of fibers, the strength in longitudinal (lengthwise) direction is may be about 25-50 times greater than the strength in the radial or tangential (sidewise) direction.

However clear wood composite of fiber & lignin & free from imperfection such as knots has longitudinal tensile strength of 10,000 psi to 20,000 psi. strength in tension is superior to either compression or shear. In compression fibers buckle, in shear the fibers sliding past one another.

SPECIMEN & ATTACHMENT:

A parallel to grain specimen is prepared to test as prescribed in ASTM methods. Attachment used in this test is very specialized & also used to determine shear strength of adhesives of bonding wood. The specimen is placed in the tool with lower under the flat blade. Minor misalignment is of wooden block is automatically compensated by semicircular blade which assures uniforms lateral distribution of load. In use tool is placed on the testing machine table & load is applied in compression against the blade. Provision is made to mount the blade on the lower crosshead.

Observation/calculation:

Shear load: 5480 lbs.

Shear area: 4 in².

Shear stress for given wooden specimen = shear load =1620 psi

shear area

Result:-

Shear stress for the given specimen of wood is found to be 1620 psi
 
 




EXPERIMENT NO 4

OBJECT:

To determine the single shear strength of given 1/2" dia aluminum, mild steel and brass bar.

APPARATUS:

Universal testing machine, Bar shearing attachment, Allen key, Specimen.

WORKING FORMULA:

Single share stress

t =F/A (lb/in2)

Where

t = Share stress

F = Applied Force

A = Cross sectional area

BAR SHEARING PROCESS:

The shearing process starts when blade (upper cutting edge) descends against bar, the metal first deformed plastically over the die (lower cutting edge). Due to small lateral clearance between the two cutting edges, the deformation is highly localized. The blade (upper cutting edge) penetrates into the bar and opposite surface bulges slightly. When penetration reaches 15% to 60% of diameter of bar (depending upon properties of material), the applied force exceeds the shear resistive force of the metal and metal suddenly shears or ruptures through remainder of its diameter. Due to non-homogeneity in the metal, the final phase of shearing doesn’t occur uniformly.

BAR SHEARING TOOL:

Bar shearing tool comprises of shearing blade (upper cutting edge) & bar holding base (contains lower cutting edge i.e. die also serve to hold bar firmly during course of practical). The shearing blade have precision notches in all four sides, are used for ¼", ½", 3/4" & 1" diameter bars for testing in single or double shear. Shearing blade &die are made of tempered tool steel. They are ground to true edge.

SPECIMEN & ATTACHMENT:

A parallel to grain specimen is prepared for test as prescribed in ASTM

Methods. Attachment used in this test is very specialized and also used to determine shear strength of adhesives of bonding wood. The specimen is placed in the tool with lower portion under the flat blade. Minor misalignment is of wooden block is automatically compensated by semicircular blade which assure uniform lateral distribution of load. In use tool is placed on the testing machine table and load is applied compression against the blade. Provision is made to mount the blade on the lower crosshead.

OBSERVATION:
 

Specimen

Loads(lbs)

Diameter(in)

Shear stress(psi)

Mild Steel

13700 lbs

0.5 in

26.73 ksi

Brass

10000 lbs

0.507 in

69.77 ksi

Aluminium

5240 lbs

0.5 in

49.38 ksi

RESULT:

  1. Shear stress of aluminum = t a = 26.73 ksi
  2. Shear stress of mild steel = t s = 69.77 ksi
  3. Shear stress of brass = t b = 49.38 ksi


 

EXPERIMENT NO: 5a

OBJECT:

To determine hardness of different materials.

APPARATUS:

Hardness testing machine, Specimen, Indenter with different diameter balls.

THEORY:

Hardness is the resistance to penetration. Hardness tests give measure of the resistance of a metal to the penetration & resistance to scratching or abrasion.

The Brinell hardness test is of static indentation type. It is one of the most widely used hardness tests in engineering practice.

The Brinell hardness test is basically simple and consists of applying constant load, usually 500 to 3000 kg on a hardened steel ball type indenter, 10 mm in diameter, to the flat surface of a work piece. The 500-kg load is used for testing non-ferrous metals such as copper, aluminum alloys, whereas 3000-kg load is for testing harder metals such as steel, cast iron etc.. The load is held for a specified period of time (10 to 15 sec. for iron or steel, about 30 sec. for softer metals) after which the diameter of recovered indentation is measured in mm. This time period is required to ensure that plastic flow of the work metal has stopped.

Hardness is evaluated by taking the mean diameter of the indentation (two readings at right angles to each other) & calculating Brinell hardness number (HB) by dividing applied load by the surface area of indentation, as per formula:

HB = load .

( p D / 2 ) [ D - ( D2 – d2 ) ]

Where D = Diameter of the ball in mm.

d = Diameter of the indentation in mm.

For the selection for Brinell hardness test, following chart is very helpful:
 

REPRESENTATIVE MATERIAL

P / D2

BALL DIAMETER

LOAD (Kgf)

Steel & cast iron

30

2.5 mm

187.5

Copper, copper & Aluminum alloy

10

5 mm

250

Aluminum

5

5 mm

125


Lead, tin & their alloy

1

10 mm

100

PROCEDURE:

  1. Check that the major load lever is down.
  2. Select the load required.
  3. Push the quick lift lever fully toward the machine body.
  4. Place the specimen to be rested on the anvil.
  5. Rotate the capstan wheel clockwise until the specimen is in contact with the intender.
  6. Lift the major load lever gently until it moves independently.
  7. Allow the major load to dwell & then push the major load down gently to its stop dwell line depend on type of material.
  8. Rotate the capstan wheel anticlockwise to lower the specimen from the anvil.
  9. Remove the specimen from the anvil. The diameter of the indentation left in the surface after the removal of load is measured in two directions at right angles.
  10. Substitute the values in the formula given. The quotient obtained is the Brinell hardness number.

  11. HB = load .

    ( p D / 2 ) [ D - ( D2 – d2 )½]

    Where D = Diameter of the ball in mm.

    d = Diameter of the indentation in mm.

  12. The Brinell hardness number can be written as:

(Quotient) HB (Diameter of ball used) / (Load applied)

OBSERVATION CHART:
 

Material

Mild Steel

Stainless Steel

Aluminum

Brass

Load (P) Kgf

187.5

187.5

125

250

Diameter of Ball (D) 

mm.

2.5

2.5

5

5

Diameter of Indentation (d) mm.

1.2

1.35

1.35

1.5

Brinell Hardness No. 

155.612

120.621

103.74

207.483


 

RESULT:

The Brinell hardness number of different materials is found to be
 

Mild Steel

Stainless Steel

Aluminum

Brass

155.612

120.621

103.74

207.483


 
 
 

EXPERIMENT NO 5(b)

OBJECT:

To determine Hardness of different materials by " Rockwell Method."

APPARATUS:

Hardness tester, Specimen, Different indenter.

THEORY:

Hardness is the resistance to penetration. Hardness tests give measures of the resistance of a metal to the penetration & resistance to scratching or abrasion.

The Rockwell hardness test is of static indentation type. It is one of the most widely used hardness tests in engineering practice.

Rockwell hardness differs from Brinell hardness testing in that hardness is determine by the

depth of indentation made by a constant load impressed upon indenter rather than surface area of indentation. Rockwell test consists of measuring the additional depth to which an indenter is forced by heavy (major) load beyond the depth of previously light (minor) load. Application of minor load eliminates backlash in the load train and causes indenter to breakthrough slight surface roughness and to crush particles of foreign matter. Thus contributing greater accuracy in the test.

In regular Rockwell hardness test the minor load is always 10 kg. The major load however can be 60,000 or 150 kg. Depending upon the type of scale used (selection of scale is done according to type of material).

SELECTION OF ROCKWELL SCALE:

It is necessary to select the Rockwell scale to suit a given set of circumstances. Therefore knowledge of the factors that govern the proper choice of scale is mandatory. There are 15 different scale of regular Rockwell hardness is available. The influencing factors which governs the selection of Rockwell scale is:

Among 15 different scales for regular Rockwell testing here are some with typical applications:

Scale

Indenter

Major Load

Application

B

Ball ( 1/16'' )

100 Kg

Cu alloy , soft steel,Al alloy ,malleable iron

C

Diamond cone

150 Kg

Steels , Hard cast iron,titanium,hardened steel

A

Diamond cone

60 Kg

Cemented Carbide ,Thin steels

D

Diamond cone

100 Kg

Pearlitic malleable iron

E

Ball ( 1/8 '' )

100 Kg

Cast iron ,Al & Mg alloys , bearing metals

For ball indenter red dial graduation. For diamond cone indenter black dial graduations.

PROCEDURE:

  1. Check that the major load lever is down.
  2. Select the load required (as per type of material).
  3. Push the quick lifts level fully downs the machine body.
  4. Place specimen to be tested on the anvil.
  5. Rotate the capstan wheel clockwise until the specimen is in contact with the indenter. Continue to rotate the capstan wheel gently until the small hand (automatic zero hand) is about half way among the red zone.
  6. Turn the dial face so the "0" on the dial lines up with the large dial hand.
  7. Lift the major load lever gently until it moves independently.
  8. Allow the major load to dwell and then push the major load down gently to its stop. Dwell time depends on type of material.
  9. Rockwell hardness number can be read directly from the dial. Note down the reading.
  10. Rotate the capstan wheel anti clock wise to lower the specimen from the

indenter.

The Rockwell hardness number can be represented as:

OBSERVATION:
 

Material 

Load

Indenter

Angle

Rockwell Hardness

(HRC)

High Carbon Steel

150

Diamond

120

43

Spring steel

150

Diamond

120

26


 

RESULT:

The Rockwell hardness number of different material are found to be:

For High Carbon Steel = 43

For Spring Steel = 26

EXPERIMENT NO: 6

Object:

To determine modulus of rigidity of given material by method torsion.

Apparatus:

Torsion apparatus, load.

Theory:

Torsion is the shear produced by rotation or by a torque. In this type of shear,one layer of a material is made to rotate on an adjection layer. This type of shear is present in rotating shafts when transmitting power.

In torsion test, equal and opposing moments are applied at opposing ends of a suitable specimen in planes perpendicular to its longitudinal axis. Observation of applied torque and corresponding twist or rotation is used to determine modulus of rupture, modulus of rigidity and angle of twist of given material.

Torsion formula:

Torsion formula is used for determining Modulus of Rigidity of given material.

T/J = Gq /L = t /r

Where:

T = Torsion lb.-in

J = Polar moment of inertia in4

t = Shear stress . Psi.

G = Modulus of rigidity. Psi.

q = Angle of twist. Rad.

L = Length of shaft in..

r = Radius of shaft in..

The assumptions that are made for the formulation of torsion formula are as under :

Modulus of Rigidity:

Modulus of Rigidity is define as:

The relationship between shearing stress & shearing strain, assuming

HOOKE’S LAW to apply to shear is :

t = G g

where:

G represents modulus of elasticity in shear OR Modulus of rigidity.


OBSERVATION:
 

Weight

L1 

L2 

q 1

q 2

Torque 

G1 

G2 

(lbs)

(in) 

(in)

(rad)

(rad)

(lb-in)

(psi)

(psi)

8.8

10

20

0.008

0.026

31.35

1.15

0.78

17.6

10

20

0.026

0.061

62.7

0.78

0.66

26.4

10

20

0.043

0.096

94.05

0.69

0.63

Calculations:

Polar moment of inertia = p /2 r 4 = p /2 (3/8)4

=.0321 in4

G 1 = 874.33 ksi

G 2 =691 ksi

Mean G = ( G 1+ G 2) /2 = 782.66

Result:

Modulus of elasticity in shear OR Modulus of rigidity of given material

Is found to be = 782.66 ksi