Compre_Complete Q-Paper & Solution

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    ID. No.: Name: Marks Obtained:

    BIRLA INSTITUTE OF TECHNOLOGY AND SCIENCE PILANI, HYDERABAD CAMPUS

    Part-A COMPREHENSIVE EXAM. SEM I, 2011-12 ES C221 MECHANICS OF SOLIDS

    2:00 PM 2:50 PM, 02/12/2011 (Friday) Max. Marks = 30

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    Note: There are total 10 questions printed on one side of the paper. All are multiple choice questions. Select the most

    appropriate answer and mention its letter against the space provided in the box. Each question carries THREEmarks. Overwriting will be treated as invalid. No negative marks.

    ----------------------------------------------------------------------------------------------------------------------------------------------

    Q. No. 1 2 3 4 5 6 7 8 9 10

    Ans. A B B D A A D C D C

    (1) Two bars of different materials are of the same size

    and are subjected to same tensile forces. If the bars

    have their elongations in the ratio of 4:7, then the ratio

    of moduli of elasticity of the two materials is

    A) 7:4 B) 4:7 C) 49:16 D) 16:49

    (2) A point in a strained body is subjected to a tensile

    stress of 1000 kg/cm2 on one of the plane and the

    tensile stress of 500 kg/cm2 on a plane at right angle to

    it. If these planes are carrying shear stresses of 500

    kg/cm2, then the principal stresses are inclined to the

    larger normal stress at an angle

    A) tan-1 (2) B) tan-1(2)

    C) tan-1(2/3) D) tan-1(1/3)

    (3) If a cantilever beam carries a uniformly distributed

    load over its entire length, then shapes of shear force

    diagram and bending moment diagram respectively are

    A) Quadratic parabola and cubic parabola

    B) Triangle and quadratic parabola

    C) Rectangle and triangle

    D) Quadratic parabola and triangle

    (4) A beam of rectangular crosssection is 100mm

    wide and 200mm deep. If the section is subjected to a

    shear force of 20kN, then the maximum shear stress in

    the section isA) 1N/mm2 B) 1.125N/mm2

    C) 1.33N/mm2

    D) 1.5N/mm2

    (5) Force in the memberAD of the

    pin jointed frame shown in figure

    below is

    A) Zero B)P/2

    C)P D)P2

    (6) The ratio of strain energy stored by a hollow shaft

    of external diameter D and internal diameter d and

    strain energy stored by a solid shaft of diameterD is

    A)D4/(D

    4 d

    4) B) (D

    2- d

    2)/D

    2

    C) (D4 d4)/D4 D)D2/(D2 - d2 )

    (7) A simply supported beam of spanL carries over its

    full span a load varying linearly from zero at either

    ends to w/unit length at midspan. The maximum

    bending moment occurs at

    A) quarter points and is equal to wL2/8

    B) quarter points and is equal to wL2/12

    C) midspan and is equal to wL2/8

    D) midspan and is equal to wL2/12

    (8) A cantilever beam carries a uniformly distributed

    load from fixed end to the centre of the beam in the

    first case and a uniformly distributed load of same

    intensity from centre of the beam to the free end in the

    second case. The ratio of deflection at free end in the

    two cases is

    A) 1/2 B) 3/11

    C) 7/41 D) 15/24

    (9) A simply supported beam with rectangular cross-

    section is subjected to a central concentrated load. If

    the width and depth of the beam is doubled, then thedeflection at the center of the beam will be reduced to

    A) 50% B) 25%

    C) 12.5% D) 6.25%

    (10) For a plane stress state as (60, 40, 0 MPa), the

    maximum yield strength according to Von-Mises

    criteria is

    (A) 60.0 MPa (B) 74.8 MPa

    (C) 52.9 MPa (D) 26.4 MPa

  • 8/3/2019 Compre_Complete Q-Paper & Solution

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    Par

    2:0

    -----

    Not

    -----

    Q.1

    Q.2

    Q.3

    Q.4

    Q.5

    BIRLA I

    t-B COM

    PM 5:00

    --------------

    : There are

    --------------

    If a tensile

    twisting m

    and tensile200 GPa,

    Figu

    In Figure 2

    portion CD

    A column

    clamped at

    right end

    column is

    E = 800 G

    the tempera

    A rigid bar

    section wit

    method, de

    A simply s

    shown in

    bending str

    Specify the

    at the botto

    B

    D

    1m 1

    STITUTE

    REHENS

    PM, 02/12/

    --------------

    total 5 quest

    --------------

    load of 500

    ment of 50

    load, find th= 0.3).

    re 1

    , the alumin

    of the brass

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    left side an

    f the colu

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    BDE is we

    h 20 mm wi

    termine (a) t

    Figure 4

    upported be

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    location at

    m surface or

    E

    20KN/m

    40KN

    1m

    OF TECH

    IVE EXA

    011 (Friday

    ---------------

    ions. Start

    ---------------

    kN is appli

    kN-m is al

    e state of pl

    um rod AB

    rod is hollo

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    hinged at

    n, there is

    cial refract

    olumn is ex

    hich buckli

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    he slope at

    m of unsy

    etermine th

    exceed their

    hich maxi

    the top surf

    20mm

    30

    NOLOGY

    . SE

    )

    --------------

    ach questio

    --------------

    d to a solid

    so applied,

    ane strain (

    G = 27 GPa

    with an in

    f 400 mm d

    right as sho

    an expansio

    ry material

    osed to a h

    ng will occu

    B to the st

    mm depth.

    oint A and (

    Fig

    metrical I s

    maximum

    allowable

    um tensile

    ace.

    m

    100

    300

    30mm

    AND SCIE

    I, 2011

    --------------

    n from a fr

    --------------

    cylindrical

    ind the shea

    z, , z). Al

    ) is bonded

    ner diameter

    iameter and

    n in Figur

    n gap of 5

    with = 4x

    igher tempe

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    el beam A

    For the loa

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    re 5a

    ection (Figu

    value of lo

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    bending stre

    m

    30mm

    250mm

    m

    50m

    NCE PIL

    -12 ES

    ---------------

    sh page. A

    ---------------

    haft as sho

    r stress. Du

    so find the

    to the brass

    of 40 mm,

    4 m long is

    3. At the

    mm. The

    10-5/0C and

    rature, find

    [15 M]

    (E= 200

    ing as sho

    tion at point

    re 5a) with

    ad Wat whi

    and 7 MP

    ss occurs fo

    4KN

    2mO

    ANI, HYD

    C221 M

    --------------

    ssume suita

    --------------

    n in Figure

    e to combin

    rincipal str

    Figure

    rod BD (G

    etermine th

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    n in Figure

    B.

    Figure

    an overhan

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    A

    ERABAD

    CHANIC

    Ma

    --------------

    le data whe

    --------------

    1, find the t

    ed effect of

    ins using M

    2

    39 GPa).

    e angle of t

    Figure 3

    AC has a r

    4, using sin

    5b

    supports th

    r stress and

    . Draw the

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    2mC

    CAMPUS

    S OF SOL

    . Marks =

    --------------

    rever necess

    --------------

    nsile stress.

    twisting mo

    ohr Circle.[15 M]

    nowing th

    ist at A. [1

    ctangular c

    gularity fun

    [20 M]

    e load syste

    the compre

    SFD and B

    cify whethe

    [25 M]

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    IDS

    0

    -----

    ary.

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    If a

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    MD.

    it is

    B

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