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    Be Winter 2020

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    arulmj07

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    Be Winter 2020

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    arulmj07
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    Original Title

    3130608-BE-WINTER-2020

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    10 views3 pages

    Be Winter 2020

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    arulmj07

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    Seat No.: ________ Enrolment No.

    ___________

    GUJARAT TECHNOLOGICAL UNIVERSITY


    BE- SEMESTER–III (NEW) EXAMINATION – WINTER 2020
    Subject Code:3130608 Date:06/03/2021
    Subject Name:Mechanics of Solids
    Time:10:30 AM TO 12:30 PM Total Marks:56
    Instructions:
    1. Attempt any FOUR questions out of EIGHT questions.
    2. Make suitable assumptions wherever necessary.
    3. Figures to the right indicate full marks.

    Q.1 (a) Explain following terms (i) Rigid body, (ii) Deformable body (iii) Elastic body. 03
    (b) State Hook’s low. Draw stress strain curve for Mild Steel Specimen and explain 04
    each point in detail.
    (c) Three forces are acting on a weightless equilateral triangular plate as shown in 07
    Fig. 1. Determine magnitude, direction and position of resultant force.

    Q.2 (a) Explain : (i) Type of beams (ii) Type of loading on the beams. 03
    (b) Determine support reaction for the given beam shown in Fig. 2. 04
    (c) A simply supported beam 10 m long carries three point loads at 100 kN, 150 kN 07
    and 200 kN at 3m, 5m and 8m from left support. Draw S.F. and B.M. diagram
    for the beam.

    Q.3 (a) Discuss critically the assumption made in theory of Bending. 03


    (b) A cantilever beam 2 m long has rectangular section 200 mm x 500 mm. Find out 04
    point load at free end of beam if permissible bending stress is 20N/mm2.
    (c) A beam of I-section, having 5 m length is simply supported at each end and bears 07
    a u.d.l. of 20 kN/m as shown in Fig. 3. Determine maximum tensile and
    compressive bending stress.

    Q.4 (a) Derive with usual notations the theorem of perpendicular axis. 03
    (b) Derive relation between bulk modulus (K), Poisson’s ratio (1/m), and modulus 04
    of elasticity (E).
    (c) A beam of I-section, having 5 m length is simply supported at each end and bears 07
    a u.d.l. of 20 kN/m as shown in Fig. 3. Determine maximum shear stress.

    Q.5 (a) Define: (1) Centroid (2) Center of gravity (3) Center of mass. 03
    (b) State and prove Pappu’s guldinus theorem for surface area of bodies. 04
    (c) Determine the location of centroid of plane lamina shown in Fig. 4 with respect 07
    to point O.

    Q.6 (a) Write assumption made in the theory of torsion. 03


    (b) A solid steel shaft is to transmit 120 kW power at 600 r.p.m. Find the diameter 04
    of shaft if shear stress is to be limited to 100 N/mm2.
    (c) Determine moment of inertia about base of a plane area as shown in Fig. 4. 07

    1
    Q.7 (a) Define : (i) Modulus of Elasticity (ii) Poisson’s ratio(iii) Modulus of rigidity 03
    (b) In a tension test, a bar of 20 mm diameter undergoes elongation of 14 mm in a 04
    gauge length of 150 mm and a decrease in diameter of 0.85 mm at a tensile load
    of 6 kN. Determine the two physical constants Poisson’s ratio and modulus of
    elasticity of the material.
    (c) A steel rod 30 mm in diameter is inserted inside a brass tube of 30 mm internal 07
    diameter and 40 mm external diameter, the ends are rigidly connected together.
    The assembly is heated by 20°C. Find value and nature of stress developed in
    both the materials.
    Take, α for steel = 12 x 10-6 per °C, α for brass = 18 x 10-6 per °C.
    E for steel = 200 GPa, E for brass = 80 GPa,

    Q.8 (a) Define principal planes and principal stresses. 03


    (b) A R.C.C. column 300 mm in dia. is reinforced with 6 nos. of 16 mm diameter 04
    steel bars. If permissible stress in steel and concrete are 230 N/mm2 and 5
    2
    N/mm , respectively, find the load carrying capacity of the column.
    (c) The state of stress in two-dimensionally stress body at a point is shown in Fig. 07
    5. Determine principal stresses and maximum shear stress and its location of
    planes.

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