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SATHYABAMA UNIVERSITY CHENNAI -600 119 DEPARTMENT OF MECHANICAL ENGINEERING MATERIAL TESTING LAB MANUAL

Strength of Materials Lab

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Page 1: Strength of Materials Lab

SATHYABAMA UNIVERSITY

CHENNAI -600 119

DEPARTMENT OF MECHANICAL

ENGINEERING

MATERIAL TESTING LAB MANUAL

Page 2: Strength of Materials Lab

CONTENTS

LIST OF EXPERIMENTS

1. COMPRESSION TEST ON WOOD

2. DEFLECTION TEST

3. COMPRESSION TEST ON OPEN COILED HELICAL SPRING

4. TENSION TEST ON CLOSED COILED HELICAL SPRING

5. TORSION TEST ON MILD STEEL ROUND BAR

6. IZOD IMPACT TEST

7. TENSION TEST ON MILD STEEL BAR

8. ROCKWELL HARDNESS TEST

9. BRINELL HARDNESS TEST

10. DOUBLE SHEAR TEST

Page 3: Strength of Materials Lab

1. COMPRESSION TEST ON WOOD/ BRICK

AIM :

To determine the compressive strength of a given wooden specimen .

APPARATUS REQUIRED:

Compression testing machine

1. Scale .

PROCEDURE :

1. Measure the dimensions of the specimen .2. Keep the wooden specimen at the centre of the lower compression plate .Now

lower the adjustable cross head by rotating the hand wheel so that the top compression plate just touches the specimen .

3. Now apply the load manually. Now the specimen is compressed between the compression plates .The load applied to the specimen is indicated by the measuring value indicator .

4. Load the specimen till it fails .Note the ultimate load .5. Remove the specimen from the machine .

OBSERVATION :

C . S dimensions of the specimen =

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TABULATION :

Sl .No Load in N Cross sectional area of the specimen

( mm2 )

Compressive strength N / mm2

CALCULATION:

Ultimate compressive load

Compressive strength of the given specimen = ---------------------------------

C. S area of the specimen

RESULT :

The compressive strength of the given specimen =

Page 5: Strength of Materials Lab

2.DEFLECTION TEST

AIM :

To determine the Young’s modulus of the given material and verify Maxwell’s law of reciprocal deflection .

APPARATUS :

1. Knife edge supports 2. Deflectometer 3. Set of weights with hanger.4. Scale5. Vernier caliper .

PRINCIPLE :

According to Maxwell’s law of reciprocal deflection in a simply supported beam AB = BA

where AB - Deflection of the beam measured at A due to the load at B

BA - Delection of the beam measured at B due to the load at A

PROCEDURE :

1. Measure the dimensions of the beam.2. Place the given beam on knife edge supports with equal overhangs on either side

of the beam .3. Place the deflectometer at a distance ‘x’ from the support.4. Place the weight hanger at a distance of ‘a’ from the support. Note the initial

reading of the deflectometer.5. Now increase the load gradually and take the corresponding deflectometer

readings.6. Now decrease the load in the same intervals and note the deflectometer

readings.7. Draw a graph - Load vs Deflection .

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OBSERVATION :

x < a & x < b

C . S . dimensions of the beam =

Span ( l ) =

Distance ( x ) =

Distance ( a ) =

Distance ( b ) =

TABULATION :

S.No Load

Deflectometer reading Young’s modulus

in

N/mm2

x < a x < b

gm N Loading Unloading Mean Loading Unloading Mean

1.

2.

3.

4.

5.

6.

CALCULATION:

Page 7: Strength of Materials Lab

x < a

w b x

= ------------ ( l2 - b2 - x2 )

6 E I l

x < b

w a x

= ------------ ( l2 - a2 - x2 )

6 E I l

RESULT :

Young’s modulus of the given material (E) =

3. COMPRESSION TEST ON OPEN COILED HELICAL SPRING

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AIM :

To conduct a compression test on the given helical spring and hence determine the following, a) Shear modulus b) Stiffness of the spring c) Proof load d) Strain energy stored at proof load

APPARATUS :

1. Spring testing machine 2. Vernier caliper 3. Scale

MACHINE DESCRIPTION :

The machine mainly consists of loading mechanism, load measuring system, indicating mechanism, recorder and electrical controls.

Loading mechanism :

The base is connected to torque plate by two columns forming the main structure of the machine .The measuring system is assembled on top plate and is covered by top cover. The side panel fixed to the right column consists of indicating and recording mechanisms

Load measuring sytems (Pendulum dynamometer):

The load measuring system is supported on the top plate and is covered by the top cover. The upper grip head is fixed to the central member .A spring steel strip with one end fixed to the pendulum shaft runs around the shaft and its end is fixed to the central member.

Indicating mechanism:

The rack pusher fixed to the pendulum lower pushes the rack which slides over the rack guide pulleys .The lower movement of the rack rotates the pinion .The pinion is fixed on a pointer shaft running in ball bearing. A dummy pointer which moves forward with the main pointer is provided for maximum load reading .

Page 9: Strength of Materials Lab

PROCEDURE :

1. Measure the mean coil diameter and the diameter of wire of the spring .Also note the number of free coils in the spring.

2. Place the spring in position in between the platforms for compression spring.3. Adjust the indicator of the load dial, to read 0.4. Apply compressive load by increasing at suitable intervals and note the

corresponding deflections.5. Draw graph - load vs deflection .

OBSERVATION :

Mean coil diameter ( D )=

Wire diameter (d )=

No. of turns ( n ) =

Free height of the spring (H) =

TABULATION :

Page 10: Strength of Materials Lab

S.No

Load

(N )

Deflection (mm ) Stiffness

N/mm

Proof Load ( N)

Shear stress

N/mm2

Rigidity modulus

N/mm2

Strain energy

N-mmLoading Unloading Mean

1.

2.

3.

4.

5.

6.

7.

8.

9.

10.

CALCULATION:

64 R3 n w

Rigidity modulus ( G ) = ------------ x -----

d4

w

Stiffness of the spring ( K ) = -----------

Proof load (wp ) = K (H - n d )

Page 11: Strength of Materials Lab

16 wp R

Shear stress ( p ) = --------------=

d3

(p )2 d2

Strain energy stored ( Uwp ) = -------------- x --------- x Dn

4 G 4

RESULT :

Rigidity modulus =

Stiffness of the spring =

Proof load =

Strain energy stored at proof load =

4. TENSION TEST ON CLOSED COILED HELICAL SPRING

AIM :

Page 12: Strength of Materials Lab

To conduct a tension test on the given helical spring and hence determine the

following a) Shear modulus b) Stiffness of the spring.

APPARATUS :

1. Spring testing machine

2. Vernier caliper

3. Scale

MACHINE DESCRIPTION :

The machine mainly consists of loading mechanism, load measuring system, indicating mechanism, recorder and electrical controls.

Loading mechanism:

The base is connected to torque plate by two columns forming the main structure of the machine. The measuring system is assembled on top plate and is covered by top cover. The side panel fixed to the right column consists of indicating and recording mechanisms

Load measuring systems (Pendulum dynamometer ):

The load measuring system is supported on the top plate and is covered by the top cover.The upper grip head is fixed to the central member .A spring steel strip with one end fixed to the pendulum shaft runs around the shaft and its end is fixed to the central member.

Indicating mechanism :

The rack pusher fixed to the pendulum lower pushes the rack which slides over the rack guide pulleys .The lower movement of the rack rotates the pinion .The pinion is fixed on a pointer shaft running in ball bearing. A dummy pointer which moves forward with the main pointer is provided for maximum load reading .

PROCEDURE :

Page 13: Strength of Materials Lab

1. Measure the mean coil diameter and the diameter of wire of the spring .Also note the number of free coils in the spring .

2. Place the spring in position by attaching it to hooks for tension spring .3. Adjust the indicator of the load dial ,to read 0 .4. Apply tensile load by increasing at suitable intervals and note the corresponding

deflections .5. Draw graph - load vs deflection.

OBSERVATION :

Mean coil diameter (D) =

Wire diameter (d ) =

No. of free coils ( n ) =

TABULATION :

S.No

Load

(N )

Deflection (mm ) Stiffness

N/mm

Shear stress

N/mm2

Rigidity modulus

N/mm2

Strain energy

N-mmLoading Unloading Mean

1.

Page 14: Strength of Materials Lab

2.

3.

4.

5.

6.

7.

8.

9.

10.

CALCULATION:

64 R3 n w

Rigidity modulus ( G ) = --------------x---------

d4

w

Stiffness of the spring ( K ) = ----------

16 w R

Shear stress ( ) = ------------

d3

Page 15: Strength of Materials Lab

( )2 d2

Strain energy stored ( Uwp ) = -------------- x --------- x Dn

4 G 4

RESULT :

Rigidity modulus =

Stiffness of the spring =

Proof load =

Strain energy stored at proof load =

5. TORSION TEST ON MILD STEEL ROUND BAR

AIM:

To conduct a torsion test on the given mild steel wire and hence determine the modulus of rigidity .

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APPARATUS :

1. Torsion testing machine 2. Vernier caliper.3. Scale

MACHINE DESCRIPTION:

The machine consists of two units namely, loading unit and the measuring control panel. It consists of robust base fitted with control panel. The gear box assembly is guided on the base. A driving chuck and angle measuring pulley is mounted on a lever spindle assembly is connected to a pendulum dynamometer. The autographic recorder is fitted on the control panel .The recorder will show the relation between torque and twist angle

PROCEDURE :

1. Measure the diameter of the specimen in both perpendicular directions and take the average .

2. Fix the specimen between the driving chuck and the driven chuck.3. Set the angle measuring dial at 0o position.4. Now apply torque to the specimen.5. Note the torque readings by changing the angle of twist.6. Draw the graph torque Vs angle of twist.

OBSERVATIONS :

Length of the specimen ( l ) =

Diameter of the specimen ( d ) =

TABULATION :

Sl . No Angle of twist () Torque ( T ) Rigidity modulus (G )

Page 17: Strength of Materials Lab

N/mm2

degree radians kg f –cm N- mm

1.

2.

3.

4.

5.

6.

7.

8.

9.

10.

CALCULATIONS

d3

Polar M.I. (J) = -------

32

T L

Rigidity modulus (G ) = ------ x ------

Page 18: Strength of Materials Lab

J

RESULT:

Modulus of rigidity of the given material is =

6. IZOD IMPACT TEST

AIM :

To determine the impact strength of the given specimen.

APPARATUS REQUIRED:

1. Izod impact testing machine

2. Scale

Page 19: Strength of Materials Lab

.

MACHINE DESCRIPTION :

The pendulum impact testing machine consists of the single piece frame, the pendulum, the specimen support and the measuring equipment. The pendulum is fastened to the pendulum shaft. The range within which the pendulum is swinging is partially protected by the guard. There is a dial attached concentrically with the pendulum shaft. The scale is designed such that the impact energy absorbed in breaking the specimen can be read directly.

Angle of drop of pendulum = 900

Striking velocity of pendulum = m / sec

PROCEDURE :

1. Firmly secure the proper striker to the bottom of the hammer with the help of damping piece.

2. Firmly secure the latching tube for Izod test to the barring housing at the side of the columns. The steel wire coming from the latch is carried through the latching tube and is fastened to the interior of the release lever.

3. For determining the frictional loss in the machine, adjust the reading pointer along with pointer carrier to 300 J reading on the dial when the pendulum is swinging free.

4. Note the reading on the scale against the pointer, which gives initial error if any.5. Now lift the pendulum again to its starting position.6. Fix the specimen for Izod test to the support.7. Release the pendulum as before. The hammer strikes the specimen.8. Note the reading against the pointer. This gives the energy absorbed by the

specimen.

OBSERVATION:

Length of the specimen =

Effective cross-sectional area =

Energy absorbed by the specimen =

TABULATION:

Page 20: Strength of Materials Lab

Sl .No Effective cross-sectional area ( mm2 )

Energy absorbed by the specimen ( J )

Impact strength

(J / mm2 )

CALCULATION:

Energy absorbed by the specimen

Impact strength = ------------------------------------------

Effective cross-sectional area

RESULT:

Impact strength of the given specimen =

7. TENSION TEST ON MILD STEEL BAR

AIM:

To study the behaviour of a mild steel specimen under tension when tested to destruction and also to determine the following.

a) Young’s modulus b) Yield stress c) Ultimate stress d) Breaking stress

e) Percentage elongation in length f) Percentage reduction in area.

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APPARATUS REQUIRED :

1. Universal testing machine

2. Extensometer

3. Vernier caliper

4. Scale

DESCRIPTION OF MACHINE :

The machine consists of two units namely

1. The loading unit

2. The control unit.

The loading unit consists of a robust base. The main hydraulic cylinder is to be fitted in the centre of the base and the piston slides in the cylinder. It consists of a lower table, which is connected to the main piston through a ball and ball seal joint and two cross heads. The lower table and the upper cross head assembly moves up and down with the main piston.

The main units in the control panel are1. The oil tank which contains the hydraulic oil.2. The pump which assures a continuous high pressure non - pulsating of current

for the smooth application of load on the specimen.3. Two valves one at the right hand side and the other at the left side are used to

control the oil flow in the hydraulic system and Dynamometer is a unit which measures and indicates the load. It is a pendulum dynamometer consisting of a cylinder in which the piston reciprocates.

4. The displacement of the piston causes the pendulum to deflect and this deflection represents the measurement of the load on the specimen.

THEORY:

Within the elastic limit for ductile materials, stress bears a constant ratio with the applied stress. When the test sample is tested by varying the stress in UTM at the time of yield, the point steps for a moment. This will be followed by the scaling off from the surface of the specimen. Further increase in load will be the ultimate load and this

Page 22: Strength of Materials Lab

will be shown by the dummy indicator on the load scale and the breaking load will be shown by the active indicator needle when the specimen fails.

PROCEDURE :

Initial adjustment: Before the testing, adjust the pendulum weight according to the capacity of the test. Adjust the corresponding range on the dial with the range - adjusting knob.

1. Measure the diameter of the specimen in two directions perpendicular to each other atleast at three places on the bar and take the average .

2. Mark the gauge length on the bar. 3. Select the appropriate measuring range by placing proper weights on the

Pendulum of the U . T . M. 4. Fix one end of the mild steel bar in the clamping jaws of the U. T. M5. Now adjust the lower head to the required distance and grip the other end of

the mild steel bar in the clamping jaws in it. 6. Clamp the extensometer.7. Apply the load gradually by opening the right control valve and note the

corresponding extensometer reading.8. At a particular stage there will be a pause in the increase of load. The load at that

point is noted as yield point load.9. After the pointer reaches the maximum, there will be a sudden drop in the load

and this is recorded as ultimate load.10. A neck is formed at the center of the specimen and continue the loading with a

dummy pointer accompanying the load pointer until the mild steel bar breaks. Note the breaking load at the time of fracture.

1. Now close the right control valve. Remove the specimen from the machine.2. Measure the final length and the diameter of the mild steel bar.3. Calculate the stress and strain for each reading and plot a graph. Slope of the line

gives the Modulus of Elasticity.

OBSERVATION:

Diameter of the specimen (D) =

Gauge length of the specimen (L) =

Neck diameter after fracture(D1) =

Final gauge length after fracture (L1) =

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Yield load =

Ultimate load =

Breaking load =

TABULATION :

Sl. No Load Extensometer reading

mm

Strain Stress

N/mm2

Young’s

Modulus

N/mm2Kgf N Dial I Dial II Mean

1.

2.

3.

4.

5.

6.

7.

CALCULATION:

Initial cross-sectional area (A) =

Final cross-sectional area (A1) =

% reduction in area = Initial area - Final area

---------------------------------X100

Initial area

Page 24: Strength of Materials Lab

Final length - Initial length

% Elongation in length = ---------------------------------x 100

Initial length

Yield load

Yield stress = -------------------------

Initial cross-sectional area

Ultimate load

Ultimate stress = ---------------------------

Initial cross-sectional area

Breaking load

Nominal Breaking stress = ------------------------------

Original area of cross section

Breaking load

Actual Breaking stress = ------------------------------

Final area of cross section

Page 25: Strength of Materials Lab

Axial stress

Young’s modulus = -----------------

Axial strain

RESULT :

1. Young ‘s modulus =

2. Yield stress =

3. Ultimate stress =

4. Nominal breaking stress =

5. Actual Breaking stress =

6. % reduction in area =

7. % elongation in length =

8. ROCKWELL HARDNESS TEST

AIM :

To find the Rockwell hardness number for the given materials.

GENERAL :

The Rockwell hardness test is of the static indentation type and the Rockwell hardness number is based on the additional depth to which a penetrator is driven by a heavy load beyond the depth to which a penetrator has been driven by a definite light load .The following indentors are used in Rockwell hardness tester .

Page 26: Strength of Materials Lab

a ) Diamond cone indentor with a top angle of 1200.

b ) Steel ball of diameter 1/ 16 .

Load range : 60 , 100 , 150 kg.

APPARATUS REQUIRED:

1. Rockwell hardness testing machine

2. Stop watch

PROCEDURE :

1. Put the weights on plunger of dash-pot according to the Rockwell scale required by turning the “Load selector disc”, the respective figure of weight will be visible in the window.

2. Keep the lever at position A.3. Place the specimen securely on the work table . 4. Turn the hand wheel clockwise so that the specimen will push the indentor and

show a reading on dial gauge as small pointer at ‘3’. The long pointer automatically stops at ‘0’ on black scale. (i.e ) ‘B’ 30 on red scale .

5. Turn the lever from position ‘A’ to ‘B’ slowly so that the total load is brought into action without any jerks.

6. When the long pointer of dial gauge reaches a steady position, take back the lever to ‘A’ position slowly.

7. Read off the figure against the long pointer. This gives the Rockwell hardness number

8. Turn back the hand wheel and remove the specimen from the machine. Carry on the same procedure for further specimens.

TABULATION :

Sl . No Specimen Load kg f

Indentor Scale Rockwell hardness number

Trial 1 Trial 2 Trial 3 Mean

Page 27: Strength of Materials Lab

RESULT :

The Rockwell hardness number for

9. BRINELL HARDNESS TEST

AIM :

To determine the Brinell hardness number for the given specimens.

APPARATUS :

1. Brinell hardness testing machine.

2. Microscope.

DESCRIPTION OF MACHINE :

Page 28: Strength of Materials Lab

The machine consists of a ‘J’ frame, main lever, hanger, elevating screw, loading unloading mechanism and damper system. The load is applied on the specimen through ball holder, it is effected through a lever mechanism.

The main lever carries three male vees, one for hanger, second for spindle shaft and third for pivot vee. The elevating screw can be moved up and down by rotating the hand wheel. The five detachable weights, each equivalent to 500 kg and to be made use of for application of desired load in addition to the bottom weight equivalent to 500 kg. The operating lever is provided for loading and unloading.

PROCEDURE :

1. Polish the surface of the specimen.2. Place the specimen on the worktable.3. Keep the operating lever in horizontal position.4. Turn the hand -wheel in clockwise direction so that the specimen touches the

ball indentor.5. Lift the operating lever from horizontal position upwards slightly after which

it rotates automatically.6. Wait till the lever becomes standstill.7. Bring the lever back to horizontal position.8. Turn back the hand wheel and remove the specimen from the machine. Carry

on the same procedure for further specimens.9. Measure the diameter of impression by Brinell Microscope. 10. Find the Brinell hardness number using the formula

FORMULA:

P

Brinell Hardness Number = --------------------------------

D / 2 [ D - (D2 - d2 ) ]

Where P - load in Kgf

D - Dia. of indenter in mm

d - Dia. of indentation in mm

Page 29: Strength of Materials Lab

For Steel , P = 30 D2

For Brass , P = 10 D2

For Aluminium, P = 5 D2

OBSERVATIONS :

Diameter of indentor , D =

Diameter of indentation, d =

TABULATION :

Sl . No Specimen Diameter of indentor D

(mm)

Load

kgf

Diameter of impression (mm)

Brinell hardness number

Trial 1

Trial 2

Trial 3

Mean

RESULT :

Brinell hardness number for the given specimens =

10.DOUBLE SHEAR TEST

Aim:

To find the double shear test of the given specimen.

Apparatus required:

1. UTM2. shear test attachment3. vernier calipers

Page 30: Strength of Materials Lab

formula:

double shear strength : shear load / 2 X area of C.S.

machine details:

name of the machine : universal testing machine

model : UTK 40

type : vertical

range available : 4, 10, 20 & 40 tones.

Load application : hydraulic

Load measurement : pendulum type dynamometer

Details about the attachment:

1. it is having the parts of die set & die set holder.2. the dies are different diameter.3. it is made of high carbon steel & the steel holder is made of mild steel with

hardened surface.

Procedure:

1. initial adjustment: before testing, adjust the pendulum weight according to the capacity of test. Adjust corresponding range on the dial with adjusting knob.

2. measure the specimen diameter of the rod using the vernier caliper.3. then using the mean diameter, the area cross section of the specimen is

calculated.4. the specimen is fixed on the die set exactly then it is placed in between and the

bottom table of the UTM.5. the machine is operated and the load is given to the specimen.6. when the specimen breaks, the black pointer will return to zero. We have to take

the value the red point reaches.7. take the readings in kgf, convert to Newton and apply it in the formula.

Tabulation:

S. No. Load N C.S area of the specimen mm2

Double shear strength N/mm2

Page 31: Strength of Materials Lab

Observation:

Diameter of specimen (d) :

Load when specimen breaks:

Cross – sectional area ( A): Л d2 / 4 =

Calculation:

Result:

Thus the shear strength of the given specimen was found.