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  • 5/21/2018 Ce3100 Str Lab July Nov 2014

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    CE 3100 Structural Engineering LabJuly- November 2014

    Instructors:

    Dr. Amlan K

    Sengupta

    Dr. Arun

    Menon

    Dr Meher

    Prasad A

    Dr. Saravanan U Dr Satish Kumar

    S R

    VI Semester Slot P Monday 14:00 17:00

    Timings

    Group Lab Report

    1 14:00 15:25 15:35 17:00

    2 15:35 17:00 14:00 15:25

    Experiments to be performed:

    1.

    Behavior of under-reinforced concrete beams under flexure2.

    Behavior of short reinforced concrete columns under axial compression

    3.

    Behavior of reinforced concrete beams under shear4.

    Behavior of reinforced concrete beams under torsion5.

    Bending tests on rolled steel joists6.

    Symmetrical and unsymmetrical bending7.

    Torsion of closed and open sections8.

    Plastic behavior of steel beams9.

    Buckling of steel angles10.

    Lateral buckling of steel H beams11.

    Behavior of bolted connectionsDemonstration Experiments:

    1.

    Bond strength tests

    2.

    Behavior of over-reinforced concrete beams under flexure

    Schedule

    Expt

    #

    August September October November

    4 11 18 25 1 8 15 22 13 20 27 3 10 17

    1

    Introo

    fexperiments

    a b c d e f g h i j k

    Demonstr

    ationExperiment

    FinalExam

    2 b c d e f g h i j k a

    3 c d e f g h i j k a b

    4 d e f g h i j k a b c

    5 e f g h i j k a b c d

    6 f g h i j k a b c d e

    7 g h i j k a b c d e f

    8 h i j k a b c d e f g

    9 i j k a b c d e f g h

    10 j k a b c d e f g h i

    11 k a b c d e f g h i j

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    Group Members

    Group Roll No. Group Roll No. Group Roll No.

    a1

    CE08B033

    CE11B001

    CE11B029CE11B031

    CE11B055

    e1

    CE11B011

    CE11B041

    CE11B063

    CE11B085

    i1

    CE11B019

    CE11B049

    CE11B073

    CE11B093

    a2

    CE08B046

    CE11B002

    CE11B026

    CE11B028

    CE11B050

    e2

    CE11B012

    CE11B036

    CE11B060

    CE11B078

    CE11B100

    i2

    CE11B020

    CE11B044

    CE11B068

    CE11B086

    b1

    CE11B003

    CE11B033

    CE11B057CE11B079

    CE11B099

    f1

    CE11B013

    CE11B043

    CE11B067CE11B087

    j1

    CE11B021

    CE11B051

    CE11B075CE11B095

    b2

    CE09B056

    CE11B004

    CE11B030

    CE11B052

    CE11B092

    f2

    CE11B006

    CE11B014

    CE11B038

    CE11B062

    CE11B080

    j2

    CE11B022

    CE11B046

    CE11B070

    CE11B088

    c1

    CE11B005

    CE11B035

    CE11B059

    CE11B081

    g1

    CE11B015

    CE11B045

    CE11B069

    CE11B089

    k1

    CE11B027

    CE11B053

    CE11B077

    CE11B097

    c2

    CE11B008

    CE11B032

    CE11B054

    CE11B074

    CE11B096

    g2

    CE11B016

    CE11B040

    CE11B056

    CE11B064

    CE11B082

    k2

    CE11B024

    CE11B048

    CE11B072

    CE11B090

    d1

    CE11B009

    CE11B039

    CE11B061

    CE11B083

    h1

    CE11B017

    CE11B047

    CE11B071

    CE11B091

    d2

    CE11B010CE11B034

    CE11B058

    CE11B076

    CE11B098

    h2

    CE11B018

    CE11B042

    CE11B066

    CE11B084

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    Course Evaluation

    1.

    Session Assessment :75%(Group Report, Viva during the experiment)

    2. Final Examination :25%

    General Instructions

    1.

    Always come to the laboratory on time. Shoes are compulsory.2.

    Come well-prepared for the experiments. You must bring relevant codes applicablefor concrete/steel code and steel sections hand book.

    3.

    Maintain a separate observation notebook. Show the observations and get theinstructors signature before you leave the lab after the experiment.

    4.

    Members of Group 1 will work on the report, after the lab in DCF, on the same dayand submit the completed report (one for each group) before 1700 hours. Membersof Group 2 will work on the report during 1400-1525 hours the next Monday andsubmit the completed report before commencing the experiment for that week at1535 hours.

    5.

    The report should contain: the title, detailed analysis of experimental data, tabulation

    of observations, comparison of theoretical prediction with experimental observation,results and most importantly, discussion of the results and inference.

    6.

    Reports should be neatly typed.7.

    Copying of report will earn zero credits for all the groups that copied.

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    Expt # 1. Behaviour of reinforced concrete beams under

    flexure

    Aim:

    To study the flexural behaviour of reinforced concrete beams

    Details of test specimen:Provide a neat sketch of each test specimen, along with its dimensions and reinforcement.

    All dimensions in mm.

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    Apparatus used:

    List the apparatus used in the experiment and describe them briefly

    Background:

    Brief description of the response of the reinforced concrete beams under flexure

    o Behaviour of singly reinforced beamsUnder-reinforced, over-reinforced,

    balanced sections

    o Behaviour of doubly reinforced beams

    Assumptions in the flexure theory for reinforced concrete beams and their

    implications

    Brief derivation of the cracking and ultimate moments for singly reinforced sections

    o Cracking moment ckcr fbD.M 2120

    Here, the mean cube compressive strength of concrete can be substituted forfck(in MPa); b,D(in mm) are the width and depth of the beam, respectively

    o

    Ultimate moment of resistance )x.(dbxf.M uuckuR 420540

    o For an under-reinforced beam,bf.

    Afx

    ck

    sy

    u540

    o For an over-reinforced beam,

    ck

    ssckssss

    ubf.

    EA.bdfEA.)E(Ax

    081

    00350105671012 326

    The material safety factors are neglected.

    Obtain the ultimate moment of resistance for doubly reinforced section

    Sketch of experimental setup:Neat sketch of the setup showing the location of the steel pellets, dial gauge, point ofapplication of the loads, support condition.

    Experimental Setup

    Test specimen

    Dial gauges

    Demec points

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    Moment vs. curvature for an under-reinforced section

    Moment vs. curvature for an over-reinforced section

    Compression failure

    First crack (at cracking moment )

    MuR

    Moment (M)

    Curvature ()

    MuR

    Moment (M)

    Curvature

    First crack (at cracking moment)

    Yield of tension steel(at yielding moment)

    Secondarycompression failure

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    Procedure:List the procedure followed to collect the required data.

    Observation:

    1.

    Table1: Readings from the DEMEC gauges at various locationsUnder-reinforcedbeam

    Load(kg)

    DEMEC gauge reading (mm)

    1 2 3 4 5

    2. Table2: Readings from the dial gauges and crack widthUnder-reinforced beam

    Load(kg)

    Crackwidth

    (mm)

    Raw Dial Gauge Reading (mm)

    1 2 3

    Main Vern Main Vern Main Vern

    3.

    Table3: Readings from the DEMEC gauge at various locationsOver reinforcedbeam

    Load

    (kg)

    DEMEC gauge reading (mm)

    1 2 3 4 5

    4. Table4: Readings from the dial gauge and crack widthOver reinforced beam

    Load(kg)

    Crackwidth

    (mm)

    Raw Dial Gauge Reading (mm)

    1 2 3

    Main Vern Main Vern Main Vern

    5. Figure1: Sketch of Crack pattern Under reinforced beam:

    6.

    Figure2: Sketch of Crack pattern Over reinforced beam:

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    Detailed Calculations:

    1. Table5: The value of the strains at various locationsUnder reinforced beam

    Load

    (kg)

    Strain (10-

    )

    1 2 3 4 5

    2. Table6: Deflections at various locationsUnder reinforced beam

    Load

    (kg)

    Observed Deflection (mm) Theoretical Deflection (mm)

    1 2 3 1 2 3

    3. Table7: The value of the strains at various locationsOver reinforced beam

    Load(kg)

    Strain (10-

    )1 2 3 4 5

    4. Table8: Deflections at various locationsOver reinforced beam

    Load(kg)

    Observed Deflection (mm) Theoretical Deflection (mm)

    1 2 3 1 2 3

    5. Table9: Various quantities computed from strains tabulated in Tables 5 and 7.

    Under reinforced beam Over reinforced beam

    Load

    (kg)

    Moment

    (Nm)

    Curvature,

    Depth

    of NA

    (mm)

    Load

    (kg)

    Moment

    (Nm)

    Curvature,

    Depth

    of NA

    (mm)

    6. Figure3: Plot of depth vs. strain for various loads

    7. Figure4: Plot of load vs. deflection (3 curves, compare theoretical predictions withexperimentally obtained values)

    8. Figure5: Plot of moment vs. curvature

    9.

    Figure6: Plot of moment vs. depth of neutral axis (NA)10.Figure7: Plot of load vs. crack width11.Compare the predicted and observed ultimate capacity and cracking moment.

    Discussion:Comment on the results obtained and the observed vs. expected behaviour.

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    Expt # 2.Behaviour of axially loaded short column

    Aim:To study the behaviour of axially loaded short reinforced concrete column

    Details of test specimen:Provide a neat sketch of the test specimen along with its dimensions and relevant

    geometric properties

    Apparatus used:List the apparatus used in the experiment and describe them briefly

    Background:

    Brief description of the response of reinforced concrete columns

    o Behaviour of a short column

    o Behaviour of an eccentrically loaded column

    Assumptions in the analysis of reinforced concrete columns and its implications

    Brief derivation of the ultimate axial load capacity of short column

    o Ultimate axial load,Pu0= 0.67fckAc+ fscAsc

    fsc= 0.85fy, approximate stress corresponding to a strain of 0.002

    Discuss the role of lateral ties and modes of failure of the column.

    Sketch of experimental setup:

    Neat sketch of the setup showing the location of the steel pellets and loading.

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    Experimental Setup

    Procedure:

    List the procedure followed to collect the required data.

    Observation:1. Table1: Readings from the DEMEC gauge at various locations

    Load

    (kg)

    DEMEC gauge reading (mm)

    Face A Face B Face C Face D

    1 2 3 4 5 6 7 8 9 10 11 12

    2. Figure1: Sketch of crack pattern on the four faces of the column:

    Face A Face B Face C Face D

    P

    P

    3 @ 200950

    225

    225

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    Detailed Calculations:

    1. Table2: The value of the strains at various locations

    Load

    (kg)

    Strain at various locations (10-

    )

    Face A Face B Face C Face D1 2 3 4 5 6 7 8 9 10 11 12

    2. Figure2: Plot of load vs. mean strain (Compare theoretical prediction with that

    observed experimentally)

    3. Figure3: Plot of load vs. strain at level1 for various faces

    4. Figure4: Plot of load vs. strain at level2 for various faces5. Figure5: Plot of load vs. strain at level3 for various faces

    6. Figure6: Plot of load vs. strain at various levels in faceA

    7. Figure7: Plot of load vs. strain at various levels in faceB

    8.

    Figure8: Plot of load vs. strain at various levels in faceC9. Figure9: Plot of load vs. strain at various levels in faceD

    In Figures 3 to 9, plot the mean strains as well.

    Discussion:

    Comment on the observed vs. expected behaviour, the nature of the moments on thecolumn (if any), variation of strains at various levels of a given face and crack pattern.

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    Expt # 3.Behaviour of reinforced concrete beams under shear

    Aim:To study the behaviour of beams under shear, with and without shear reinforcement.

    Details of test specimen:Provide a neat sketch of the test specimen along with its dimensions and geometric

    properties

    Apparatus used:List the apparatus used in the experiment and describe them briefly.

    Background:

    Brief description of the response of reinforced concrete beams under shear

    1. Behaviour of a beam without shear reinforcement

    2. Behaviour of a beam with shear reinforcement

    Brief review of shear strength of reinforced concrete beams.

    1. Design strength of a beam without shear reinforcement:

    0.85 0.8 1 5 16

    ck

    c

    f

    Where0.8

    6.89

    ck

    t

    f

    p or 1 whichever is greater.

    Shear strength Vc=c

    bd.

    2.

    Design strength of a beam with shear reinforcement:

    Shear strength VuR= Vc + Vs

    Where Vc = shear resisted by concrete

    Vs= shear resisted by stirrups.

    Discuss the typical shear failure modes in RC beams.

    Sketch of experimental setup:Neat sketch of the setup showing the location of steel pellets, dial gauge, point of

    application of the load, support conditions.

    v

    svy

    ss

    dAfV

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    Experimental Setup

    Cross-section(All dimensions in mm)

    Procedure:List the procedure followed to collect the required data.

    Observations:

    1. Table1: Readings from the dial gaugebeam without shear reinforcement

    Load (kg) Dial gauge reading (mm)

    2. Table2: Readings from the DEMEC gaugebeam without shear reinforcement

    Load (kg)DEMEC gauge reading

    Diag 1 Diag 2

    150

    25

    200

    (3) 16

    6stirrups

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    3. Table3: Readings from the dial gaugebeam with shear reinforcement

    Load (kg) Dial gauge reading (mm)

    4. Table4: Readings from the DEMEC gaugebeam with shear reinforcement

    Load (kg)DEMEC gauge reading

    Diag 1 Diag 2

    5. Figure - 1 : Sketch of crack pattern

    Detailed Calculations:

    1. Table5 : Deflectionsbeam without shear reinforcement

    Load (kg) Deflection (mm)

    2.

    Table6 : Deflectionsbeam with shear reinforcementLoad (kg) Deflection (mm)

    3. Table7 : Values of average shear stress and shear strain

    Load

    (kg)

    Shear stress

    (N/mm2)

    Strain (1) Strain (2) Shear Strain

    4.

    Figure -2: Plot of load vs. deflection for both the cases

    5. Figure -3: Plot of shear stress vs. shear strain for both the cases

    6. Compare the deflection responses of the beams, with and without shear

    reinforcement

    Discussions:Comment on the results obtained and the observed vs. expected behaviour.

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    Expt # 4.Behaviour of reinforced concrete beams under torsion

    Aim:To study the behaviour of beam under pure torsion.

    Details of test specimen:Provide a neat sketch of the test specimen along with its dimensions and geometric

    properties

    Apparatus used:List the apparatus used in the experiment and describe them briefly.

    Background:

    Brief description of various types of torsion in reinforced concrete beams.

    Comment on cracking and ultimate torque.

    Relevant code provisions.

    1. Cracking torsion moment (torque),2

    ,max2 3

    cr t

    b bT D

    Where,max

    0.2t ck

    f .

    b = width of the beam, in mm

    D = depth of the beam, in mm

    ckf = characteristic compressive strength of concrete in N/mm2

    .Use mean strength instead of characteristic strength.

    2. Ultimate torsional moment: When only the ties yield before failure

    Where

    At= area of cross-section of one leg of stirrup

    b1= shorter distance between longitudinal barsd1= longer distance between longitudinal bars

    fyt= yield strength of transverse steelsv= spacing of stirrups.

    v

    ytt

    uRs

    fAdbT 112

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    Sketch of experimental setup:

    Neat sketch of the setup showing the location of steel pellets, dial gauge, point ofapplication of the load, support conditions.

    Experimental Setup

    Cross-section(All dimensions in mm)

    150

    25

    (4) 12

    6stirrups200

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    Procedure:List the procedure followed to collect the required data.

    Observations:

    1. Figure - 1: Sketch the crack pattern

    2. Table1: Readings from dial gauges.

    Load(kg)

    Readings ofDial Gauge 1

    Readings ofDial Gauge 2

    Detailed Calculations:

    1. Cracking torque,Tcr.

    2. Ultimate torsional moment TuR

    3. Table2: Calculation of angle of twist from experimental data.

    Load

    (kg)

    Torque

    (kN-m)

    Net

    deflection

    (mm)

    Angle of

    twist

    (rad)

    4. Figure -2: Plot of torque vs. angle of twist

    Discussions:

    Comment on the results obtained and the behaviour observed.

    fron

    side

    topside

    back

    side

    bott

    side

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    Expt # 5.Bending tests on steel rolled joists

    Aim:To study the bending behavior of steel rolled joists

    Details of test specimen:Provide a neat sketch of the test specimen along with its dimensions and geometric

    properties

    Apparatus used:List the apparatus used in the experiment and describe them briefly

    Background:

    Assumptions in the theory of beam bending and its implications for this experiment

    Brief derivation of the flexure formula

    Theoretical estimate of the shear stresses at neutral axis of Isection

    List the methods available to determine the deflection of a beam Obtain an equation for the deflected shape of a simply supported beam subjected to

    two-point loading

    Theory of strain-rosetteExpressions to determine the components of the straintensor, principal strains and principal direction

    Sketch of experimental setup:

    Neat sketch of the setup showing the location of the strain gauges, dial gauge, point ofapplication of the loads, support condition and the orientation of the chosen coordinate

    system

    Procedure:

    List the procedure followed to collect the required data

    Observation:7. Table1: Readings from the strain gauge at various locations

    Load,

    kg

    Raw Strain Gauge Reading, (*10-

    )

    1 2 3 4 5 6 7 8 9 10

    8. Table2: Readings from the dial gauge

    Load,

    kg

    Raw Dial Gauge Reading, (mm)

    1 2 3

    Main Vern Main Vern Main Vern

    Detailed Calculations:12.Table3: The value of the strains at various locations

    Load,

    kg

    Strain, (*10-

    )

    1 2 3 4 5 6 7 8 9 10

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    13.Table4: Deflections at various locations

    Load,

    kg

    Deflection, (mm)

    1 2 3

    14.Table5: Various quantities computed from strains tabulated in Table3.

    Load,

    kg

    Moment,

    Nm

    Curvature,

    Depth

    of NA,mm

    Principal strain

    @ loc 2

    Principal

    direction@ loc 2,

    Shear strain @

    loc 3 from1

    p

    2

    p 9 10

    15.Figure1: Plot of depth vs. strain for various loads

    16.Figure2: Plot of load vs. deflection (3 curves)

    17.Figure3: Plot of moment vs. curvature

    18.

    Figure4: Plot of moment vs. depth of neutral axis19.Figure5: Plot of load vs. principal direction

    20.Figure6: Plot of load vs. shear strain (2 curves)21.Estimate the flexural rigidity from:

    a. Load vs. deflection curve (3 values)

    b. Moment vs. curvature curve22.Compute the theoretical flexural rigidity and compare it with that obtained in

    the experiment

    23.Estimate the shear rigidity from the load vs. shear strain plot and compare it

    with the theoretical value

    Discussion:Comment on the results obtained and the observed vs. expected behavior.

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    Expt # 6.Symmetrical and unsymmetrical Bending

    Aim: To study the behavior of a section subjected to symmetrical and unsymmetrical

    bending

    Details of test specimen:Provide a neat sketch of the test specimen along with its dimensions and geometric

    properties

    Apparatus used:List the apparatus used in the experiment and describe them briefly

    Background:

    Assumptions in the theory of beam bending and its implications for this experiment

    Conditions under which we can superpose solutions and its applicability for this

    experiment

    Brief derivation of the flexure formula for unsymmetrical bending Obtain an equation for the deflected shape of a simply supported beam subjected to

    one-point loading

    Sketch of experimental setup:

    Neat sketch of the setup showing the location of the strain gauges, dial gauge, point ofapplication of the loads, support condition

    Procedure:

    List the procedure followed to collect the required data

    Observation:

    9.

    Table1: Readings from strain gauge at various locationsSymmetrical bendingLoad,

    kg

    Raw Strain Gauge Reading, (*10-

    )

    1 2 3

    10.Table2: Readings from the dial gaugeSymmetrical bending

    Load,

    kg

    Raw Dial Gauge Reading, (mm)

    x y

    Main Vern Main Vern

    11.Table3: Readings from strain gauge at various locationsUnsymmetrical bending

    Load,

    kg

    Raw Strain Gauge Reading, (*10-

    )

    1 2 3

    12.Table4: Readings from the dial gaugeUnsymmetrical bending

    Load,

    kg

    Raw Dial Gauge Reading, (mm)

    x y

    Main Vern Main Vern

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    Detailed Calculations:24.Table5: The value of the strains at various locationsSymmetrical bending

    Load,

    kg

    Observed Strain, (*10-

    ) Theoretical Strain, (*10-

    )

    1 2 3 1 2 3

    25.Table6: Deflections at various locationsSymmetrical bending

    Load,

    kg

    Observed Displacement, (mm) Theoretical Displacement, (mm)

    x y x y

    26.Table7: The value of the strains at various locationsUnsymmetrical bending

    Load,

    kg

    Observed Strain, (*10-

    ) Theoretical Strain, (*10-

    )

    1 2 3 1 2 3

    27.

    Table8: Deflections at various locationsUnsymmetrical bendingLoad,

    kg

    Observed Displacement, (mm) Theoretical Displacement, (mm)

    x y x y

    28.Figure1: Plot of load vs. theoretical and observed displacement along xdirection

    for both symmetrical and unsymmetrical bending

    29.Figure2: Plot of load vs. theoretical and observed displacement along ydirectionfor both symmetrical and unsymmetrical bending

    30.Figure3: Plot of load vs. theoretical and observed axial strain at location 1 for both

    symmetrical and unsymmetrical bending

    31.

    Figure4: Plot of load vs. theoretical and observed axial strain at location 2 for bothsymmetrical and unsymmetrical bending

    32.Figure5: Plot of load vs. theoretical and observed axial strain at location 3 for both

    symmetrical and unsymmetrical bending

    Discussion:

    Comment on the results obtained and the observed vs. expected behavior.

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    Expt # 7.Torsion of closed and open sections

    Aim:To compare and study the behavior of a closed and open section subjected to torsion

    Details of test specimen:Provide a neat sketch of the test specimens along with its dimensions and relevant

    geometric properties

    Apparatus used:List the apparatus used in the experiment and describe them briefly

    Background:

    Definition of open and closed section

    Brief description of the theories of TorsionCoulomb theory and St. Venant theory

    Assumptions in the theories of torsion and its implications

    Brief derivation of the expression:

    J

    T

    r

    zfor closed sections

    For circular tube with a slit along the meridian subjected to a pure torque, T:

    )cosh(

    )sinh()tanh()(

    3l

    xlxl

    EC

    T

    w

    ,

    )cosh(

    )cosh(1'

    2l

    x

    EC

    T

    w

    ,

    )cosh(

    )sinh(''

    l

    x

    EC

    T

    w

    ,

    )cosh(

    )cosh('''

    l

    x

    EC

    T

    w

    ,

    where is the angle of twist,)6(

    24

    22

    r

    t

    E

    G, 52 )6(

    3

    2trC

    w

    ,E= 71

    GPa, G= 27 GPa, lis the length of the tube,xis the distance measured from the

    torque applied end, tis the thickness of the tube, ris the mean radius of the tube.

    The only non-zero components of the stress in cylindrical polar coordinates are:

    '''2

    ))cos(1(2'2

    3

    ErtGz

    , ''))sin(2(2 Er

    zz , where

    varies from to + ( at split end); = 0 at exactly opposite to split end.

    Derive the expressions for the principal strain for the above state of stress, assumingthe material obeys Hookes law with Youngs Modulus,E(= 71 GPa) and Poisson

    ratio, )32.0( . Also, obtain an expression for the principal direction with respect to

    a fixed Cartesian coordinate basis for the above state of stress.

    Sketch of experimental setup:

    Neat sketch of the setup showing the location of the strain gauges, orientation of thechosen coordinate system and loading

    Procedure:List the procedure followed to collect the required data

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    Observation:13.Table1: Readings from the strain gauge at various locations for open section

    Load,

    kg

    Raw Strain gauge reading

    Location 1 Location 2

    0o

    45o 90

    o 0

    o45

    o 90

    o

    14.Table2: Rotation at various locations for open section

    Load,

    kg

    Rotation (degrees)

    Location 1 Location 2

    15.Table3: Readings from the strain gauge at the given location for closed section

    Load,kg

    Raw Strain gauge reading

    0o

    45o 90

    o

    16.Table4: Rotation at various locations for closed section

    Load,kg

    Rotation (degrees)

    Location 1 Location 2

    Detailed Calculations:1. Table5: Strains at various locations for open section

    Load,

    kg

    Strains (*10-

    )

    Location 1 Location 2

    0o

    45o 90

    o 0

    o45

    o 90

    o

    2. Table6: Comparison of strains at various locations for open section

    Torque,Nm Location1(Observed) Location1(Calculated) Location2(Observed) Location2(Calculated)

    Principal

    strain

    Principal

    direction

    Principal

    strain

    Principal

    direction. Principal

    strain

    Principal

    direction. Principal

    strain

    Principal

    direction.

    1

    p

    2

    p

    1

    p

    2

    p

    1

    p

    2

    p

    1

    p

    2

    p

    3. Table7: Rotation at various locations for open section

    Load,

    kg

    Torque,

    Nm

    Observed Rotation (deg.) Calculated Rotation (deg.)

    Location 1 Location 2 Location 1 Location 2

    4. Table8: Strains at the given location for closed section

    Load,

    kg

    Strains (*10-

    )

    0o

    45o 90

    o

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    5. Table9: Comparison of strains at various locations for closed section

    Torque,Nm

    Location1(Observed)

    Location1(Calculated)

    Principalstrain

    Principal

    direc

    tion

    Principalstrain

    Principal

    direc

    tion.

    1

    p 2

    p 1

    p 2

    p

    6. Table10: Rotation at various locations for closed section

    Load,kg

    Torque,Nm

    Observed Rotation (deg.) Calculated Rotation (deg.)

    Location 1 Location 2 Location 1 Location 2

    7. Figure1: Torque vs. angle of twist per unit length for closed and open section8. Figure2: Torque vs. principal direction for open section

    9.

    Figure3: Torque vs. major principal strain for open section

    10.Figure4: Torque vs. minor principal strain for open section11.Figure5: Torque vs. principal direction for closed section

    12.Figure6: Torque vs. major principal strain for closed section

    13.Figure7: Torque vs. minor principal strain for closed section Figures 2 to 4 contains 2 curves corresponding to different locations

    Discussion:Comment on the observed vs. expected behavior and the results obtained.

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    Expt # 8.Plastic Behaviour of Steel Beams

    Aim:To study the plastic behavior of steel beams and to determine the collapse load of the

    beam.

    Details of test specimen:

    Provide a neat sketch of the test specimen along with its dimensions and geometric

    properties

    Apparatus used:

    List the apparatus used in the experiment and describe them briefly

    Background:

    Brief description of the plastic theory and its importance in steel construction.

    Brief description of the plastic hinge concept and plastic collapse load

    Brief derivation of the formula for finding the plastic moment capacity of a proppedcantilever with a concentrated load.

    Experimental setup and procedure:

    Neat sketch of the setup showing the location of the strain gauges, dial gauge, point ofapplication of the loads, support condition and the orientation of the chosen coordinate

    system

    A square rod of span L is restrained against translation and rotation at one end (A) and

    against vertical translation at the other end (C). It is subjected to a concentrated load at B,

    at a distance a from the rotationally restrained end. A pair of strain gauges at top andbottom fibres are provided at sections P and Q at distance c and d from A and B

    respectively. A load cell is provided at C to measure the vertical reaction at the right

    support. A dial gauge is located at B to measure vertical deflection.

    The load is applied at point B from a hanger rod at 10 kg increments. All the readings

    (strain gauges, load cell and dial gauge) are taken after each load increment. The

    increment in load is reduced to 5 kg closer to failure load in order to obtain failure load

    accurately and more readings closer to the failure load. Failure is indicated by largeincrease in deformation and continuous increase in deformation with time. After failure

    take a piece from the undisturbed portion and do tension test to obtain the yield strength

    of the material.1. Measure the cross-section of the rod at several places with a vernier and also

    determine the span and the load position with a scale.

    2. Calculate the expected collapse load by assuming the mechanism and by drawing thebending moment diagram at collapse. Assume mild steel of yield strength 250 MPa.

    cd

    a b

    L

    QBP

    A C

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    3. Apply the load by means of weights and note the reaction as well as strains and

    deflections.

    4. In the tension test, note the failure mode and the yield and ultimate stresses and thecorresponding strains.

    Observation:

    17.

    Table1: Readings from the load cell and strain gauges

    Load,kg

    Load cellreadings

    Strain gauge readings

    At P At Q

    Top Bottom Top Bottom

    18.Table2: Readings from the dial gauge below the load

    Load

    Kg.

    Raw Dial Gauge reading (mm)

    Main Vern

    Detailed Calculations:

    33.Table3: The value of the strains at various locations

    Load,

    kg

    Strain, (*10-

    )

    At P At Q

    Top Bottom Top Bottom

    34.Table4: Deflection at B

    Load,kg

    ObservedDeflection, (mm)

    TheoreticalDeflection, (mm)

    35.Table5: Reaction at C

    Load,

    kg

    Observed

    Reaction

    Theoretical

    Reaction

    36.

    Table6: Bending moment at A and B

    Load, kg

    Bending moment at A Bending moment at B

    Elastic

    analysis

    Based on

    Strains

    Based on

    observedreaction

    Elastic

    analysis

    Based on

    Strains

    Based on

    observedreaction

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    37.Figure1: Experimental and theoretical load versusdeflection plots

    identifying the yield and ultimate load levels

    38.Figure2: Experimental and theoretical load versusreactions plots39.Figure3: Load versusmoment at A (3 curves)

    40.Figure4: Load versusmoment at B (3 curves)

    41.

    Compare the yield and collapse loads obtained from the test with thepredictions.

    Discussion:Comment on the results obtained and the observed versusexpected behavior.

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    Expt # 9.Buckling Strength of Concentrically Loaded Angle struts

    Aim:To study the buckling behavior and to determine the limit point load and the

    elastic buckling load (Pcr) of single and double angle steel compression members, and to

    compare with the theoretical values obtained from Eulers equation.

    Details of test specimen:

    Single and double angle column specimens (20mm20mm3mm)

    Apparatus used:

    Single and double angle column specimens (20mmx20mmx3mm)

    Steel scale

    Dial gauges (L.C= 0.01mm)

    Vernier calipers (L.C= 0.02mm)

    Two hemi-spheres

    Plumb bob

    Plate with circular groove

    Background:

    Assumptions in the theory of Eulers theoryand its implications for this experiment

    Brief derivation of the Eulers Buckling equation

    Brief description of the effect of initial imperfections, residual stresses and

    eccentricity on the buckling load capacity of columns

    Brief description about Southwells Plot.

    Sketch of experimental setup:

    Neat sketch of the setup showing the location of the strain gauges, dial gauge, point ofapplication of the loads, support condition and the orientation of the chosen coordinate

    system

    20 mm20 mm

    8.35mm

    20 mm

    20 mm

    20mm

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    Procedure:List the procedure followed to collect the required data

    Observation:

    Table1: Single angle under uniaxial compression

    Table 1:Calculation for Single Angle Strut

    Sl. No.Load(P) Dial Gage Reading Deflection Deflection/Load

    d1/P (mm/kg)Micron kg D1 D2 d1 (mm) d2 (mm)

    Test Floor

    Concrete Pedestal

    Test Specimen

    Semi Hemispherical Iron PiecePiston For Application of Vertical Load

    Dial Gauges (1 & 2)

    Horizontal Beam of Self-Straining

    Frame

    Hydraulic Jack

    End Plates

    Fig . Experimental Setup for Compression testing of members

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    Double angle under uniaxial compression

    Table 2:Calculation for Double Angle Strut

    Sl. No.Load

    Dial Gage

    ReadingDeflection

    Deflection/Load

    d1/P (mm/kg)

    Micron kg D1 D2 d1 (mm) d2 (mm)

    Detailed Calculations:

    42.Figure1: Load versusmaximum lateral displacement43.Figure2: Southwell plot of P versus/P to obtain the critical load

    44.Compare experimental results with the code (IS 8002007) provisions and

    comment on the discrepancy if any.

    Discussion:Comment on the observed versusexpected behavior and the results obtained.

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    Expt # 10.Lateral Buckling of Steel I Beams

    Aim:To study the lateral buckling behaviour of steel I-beams and to determine the critical

    moment.

    Details of test specimen:

    Provide a neat sketch of the test specimens along with its dimensions and relevant

    geometric properties.

    Apparatus used:

    List the apparatus used in the experiment and describe them briefly

    Background:

    Description of lateral- torsional buckling of beams

    Brief Description of Southwell plot.

    Lateral buckling strength Mcr( IS: 800 - 2007)

    2

    2

    2

    2

    )()( KL

    EIGI

    KL

    EIM wt

    y

    cr

    where,E = Youngs modulus =2 x 10

    5MPa; G = Shear modulus =0.769 10

    5MPa

    Iy = Moment of inertia about the weak axis in (mm4)

    hf = Center to center distance between the flanges in mm

    KL = Effective laterally unsupported length of the member in mmry = Radius of gyration of the section about the weak axis in mm

    It = St.Venants torsion constant=3

    tb 3ii (for open cross section)

    Iw =Warping constant = 2yyff hI1 ; ( 5.0f for I section ,hy = (d - tf )

    Using Mcr, the nominal bending strength of laterally unsupported beam as

    governed by lateral torsional buckling can be calculated as follows using mo= 1.0

    bdpbd fZM moyLTbd ff / 2

    )2.0(15.0LTLTLT

    0.11

    5.022

    LTLTLT

    LT

    cr

    ypb

    LTM

    fZ

    LT = Imperfection factor = 0.21 for rolled steel section

    For top flange loading the code recommends an increase in effective length by 20%.

    Sketch of experimental setup:Neat sketch of the setup showing the location of the strain gauges, orientation of the

    chosen coordinate system and loading

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    Procedure:

    Two simply supported I-sections (ISMB 100) are loaded by a concentrated load at theirmid-span using weights on a hanger. The vertical and lateral deflections are measured

    using circular dial gauges. One is loaded at the level of the top flange and the other is

    loaded at its centroidal axis level.

    1. Calculate the nominal bending strength for both beams (code value).

    2. Practice reading the dial gauges by slackening the string (do not pull the strings) and

    identify its least count.3. Carryout the test by applying the load in increments of 40 kg and recording the dial

    gauge readings.

    4. Note or take a picture of the buckling mode from one end of the beam.

    Observation:19.Table1: Readings from the Dial gauges

    Load,kg Dial gauge readingsVertical Horizontal

    Detailed Calculations:

    14.Table2 Vertical and lateral deflections

    Load,

    kg

    Deflections (mm)

    Vertical Horizontal

    15.Figure1: Load versuslateral displacement

    16.

    Figure2: Southwell plot of W versusdelta/W to obtain the critical moment4. Compare experimental results with the code (IS 8002007) provisions and comment

    on the discrepancy if any.

    Discussion:Comment on the observed versusexpected behavior and the results obtained.

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    Expt # 11.Behaviour of Bolted connectionsAim:To study the different failure modes and to determine the capacity of the given bolted

    connections.

    Details of test specimen:Provide a neat sketch of the test specimen along with its dimensions and geometric

    properties

    Apparatus used:List the apparatus used in the experiment and describe them briefly

    Background:

    Brief description about different types of bolts

    Brief description of different types of bolted connections and their behaviour.

    Brief derivation of the formula for finding out their strength.

    Sketch of experimental setup:Neat sketch of the setup showing the location of the strain gauges, dial gauge, point of

    application of the loads, support condition and the orientation of the chosen coordinate

    system

    Procedure:

    Two lap joints are to be tested. In the first test, a single bearing bolt is put on one side of

    a double cover plate lap connection. The grade of the bolt is indicated on its head. Thethickness of the connecting plates is to be noted. As the load is increased, the elongation

    is measured by dial gauges. Strain in the plates is also measured by means of dial gauges.

    The bolt usually fails under double shear.

    In the second test , high strength friction grip bolts are used. These are pre-tensioned to

    the proof stress by the turn-of-the-nut method wherein 3/4th

    of a turn is given after thesnug tight condition. The increase in the length of the bolt will be by 3/4

    thof the pitch.

    This can be used to calculate the force in the bolt. The lap connection is the tested as

    before and the failure is usually by slip followed by the rupture of the section.

    Observation:

    Bearing Bolt

    20.Table1: Readings from the dial gauge at various locations

    Load,

    kg

    Dial Gauge Reading, (mm)

    1 2 3 4

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    Friction Grip bolt

    21.Table2: Readings from the dial gauge

    Load,

    kg

    Dial Gauge Reading, (mm)

    1 2 3 4

    Detailed Calculations:

    45.Table3: The value of the strains at various locations

    Load,

    kg

    Strain, (*10-

    )

    1 2 3 4 5 6 7 8 9 10

    46.

    Figure1: Load versusdeflection curve for both the cases47.Calculate the capacity of the bearing bolt in shear and in bearing, and compare

    with the observed capacity.

    48.Obtain the slip and net section rupture capacities, and compare with theobserved values. The load-slip graph for the bolt can be obtained from

    experiment.

    Discussion:Comment on the results obtained and the observed versusexpected behavior

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    Demo # 1.Bond Strength Tests

    Aim:

    1 To plot the load versus slip curves for the loaded and free ends in each specimen

    2

    To record the loads at slips of 0.025 mm at the free end and 0.25 mm at the loadedend of the in each specimen

    3 To record the maximum load at failure and type of failure for each specimen

    4 To compare the bond strengths of the two types of reinforcing bars5 To record the cube strength

    Details of test specimen:

    Provide a neat sketch of the test specimen along with its dimensions and geometric

    properties

    Apparatus used:

    List the apparatus used in the experiment and describe them briefly.

    Background:

    Brief description of various types of bond in reinforced concrete members.

    Brief description of the mechanisms by which bond resistance is mobilized in reinforced

    concrete.

    Describe the factors affecting the bond strength

    Comment on the significance of development length

    Comment on load at which slipping occurs

    Relevant code provisions.

    Bond Stress /( )e

    P l

    Where Pe= Load at which slip occured

    = Diameter of rod usedl = Length of embedment

    Sketch of experimental setup:Neat sketch of the test setup

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    Procedure:

    List the procedure followed to collect the required data.

    Observations:

    1. Cube Strength of Concrete2. Table1 : Readings from dial gauge for deformed bar

    Load ( kg) Dial Gauge Readings in mm

    at loaded end 1 at loaded end 2 at free end

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    3. Table2 : Readings from dial gauge for plain bar

    Load ( kg) Dial Gauge Readings in mm

    at loaded end at free end

    Detailed Calculations:

    1. Table3 : Bond stress in deformed bar

    Load in kgAverage slip at

    loaded end in mm

    Slip at free end in

    mm

    Bond stress in

    N/mm2

    2.

    Table4 : Bond stress in plain bar

    Load in kgSlip at loaded end in

    mm

    Slip at free end in

    mm

    Bond stress in

    N/mm2

    3. Figure -1: Plot of load vs slip for deformed bar

    4. Figure -2: Plot of load vs slip for plain bar

    5. Load at slip of 0.025 mm at free end for

    a) Plain bar

    b)

    Deformed bar6. Load at slip of 0.25 mm at loaded end for

    c) Plain bar

    d) Deformed bar

    7. Maximum load at failure for

    e) Plain bar

    f) Deformed bar

    Discussions:Comment on the results and the behavior observed.


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