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    2ES02 End Sem Section 1n 2 2021 03-12-21

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    Sorilic
    This document appears to be an exam for a Mechanics of Solids course, containing 6 questions with multiple parts each. The questions cover topics like: 1) determining maximum weight on a ladder before slipping, 2) calculating stress in bars with changes in temperature, 3) locating centroids and calculating moments of inertia, 4) determining loads on beams, 5) drawing shear force and bending moment diagrams, and 6) calculating stresses and loads on columns and thin shells. The document provides diagrams and numerical values to accompany each question.

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    2ES02 End Sem Section 1n 2 2021 03-12-21

    Uploaded by

    Sorilic
    22 views3 pages
    This document appears to be an exam for a Mechanics of Solids course, containing 6 questions with multiple parts each. The questions cover topics like: 1) determining maximum weight on a ladder before slipping, 2) calculating stress in bars with changes in temperature, 3) locating centroids and calculating moments of inertia, 4) determining loads on beams, 5) drawing shear force and bending moment diagrams, and 6) calculating stresses and loads on columns and thin shells. The document provides diagrams and numerical values to accompany each question.

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    2ES02 end sem Section 1n 2 2021 03-12-21

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    This document appears to be an exam for a Mechanics of Solids course, containing 6 questions with multiple parts each. The questions cover topics like: 1) determining maximum weight on a ladder before slipping, 2) calculating stress in bars with changes in temperature, 3) locating centroids and calculating moments of inertia, 4) determining loads on beams, 5) drawing shear force and bending moment diagrams, and 6) calculating stresses and loads on columns and thin shells. The document provides diagrams and numerical values to accompany each question.

    Copyright:

    © All Rights Reserved
    Download as PDF, TXT or read online from Scribd
    Download as pdf or txt
    22 views3 pages

    2ES02 End Sem Section 1n 2 2021 03-12-21

    Uploaded by

    Sorilic
    This document appears to be an exam for a Mechanics of Solids course, containing 6 questions with multiple parts each. The questions cover topics like: 1) determining maximum weight on a ladder before slipping, 2) calculating stress in bars with changes in temperature, 3) locating centroids and calculating moments of inertia, 4) determining loads on beams, 5) drawing shear force and bending moment diagrams, and 6) calculating stresses and loads on columns and thin shells. The document provides diagrams and numerical values to accompany each question.

    Copyright:

    © All Rights Reserved
    Download as PDF, TXT or read online from Scribd
    Download as pdf or txt
    of 3

    Birla Vishvakarma Mahavidyalaya (Engineering College)

    (An Autonomous Institution)


    Second Year, B. Tech. (Mechanical)
    End Semester Examination, Winter – 2021
    Course Code: 2ES02 Course Title: Mechanics of Solids
    Section – I
    Date: 03/12/2021 Time: 10.30am to 1.00 pm Maximum Marks: 60

    Note: Write each section in separate answer books. Assume any data, if required.

    Section – I
    Q1(a) A ladder of weight 200N and 4m long rest on a horizontal ground and against a [05]
    vertical wall making an angle of 60 degree with ground. The coefficient of 2A
    friction between the ladder and the wall is 0.2 and that of between ladder and
    ground is 0.45. Determine the maximum weight of the person who can climb up
    to top of the ladder without slipping.
    Q1(b) Figure shows two bars at room temperature. Assume the following values [05]
    respectively for brass and copper as, area = 400 mm2 (same for both), Modulus 4A
    of Elasticity = 1.6x105 N/mm2 and 1.2x105 N/mm2 respectively, Coefficient of
    thermal expansion = 1.4x10-7/⁰C and 1.0x10-7/⁰C respectively. Determine the
    stresses in both bars, if the temperature rises by 50⁰C.
    Gap = 0.3mm

    Brass Copper

    300 mm 400 mm

    Q2(a) Locate the centroid of the area shown in figure below. [05]
    3A
    30 30

    y
    30

    50

    45
    x

    Q2(b) Calculate moment of inertia about axis A-A in the figure shown below. [05]
    3A
    25

    20
    A A
    20

    30 90 20
    OR
    Q2(b) Determine the volume of solid generated by revolution of figure shown in Q2(a) [05]
    about Y axis. Use Pappu’s Gauldinu’s theorem. 3A

    Q3(a) A beam is made up of I section with both flanges of 300 x 16mm and clear web [05]
    of 10mm x 500mm. Determine maximum central concentrated load on a simply 4A
    supported beam of span 6m, if the permissible bending stress is 200N/mm2 and
    shear stress is 120N/mm2.

    Q3(b) A beam of 300mm wide and 300mm deep has a concentric hole of 80mm x [05]
    80mm. Draw the shear stress distribution in the beam for a shear force of 200KN 4A
    acting on beam.
    OR
    Q3(b) A rod with dimension 20mm x 30mm x 500mm long and subjected to a [05]
    compressive force 100kN along length. If the modulus of Elasticity of the 4A
    material is 2x105N/mm2 and Poisson’s ratio is 0.25, determine the modulus of
    rigidity, bulk modulus and change in dimension.

    Section – II
    Q4(a) Determine resultant for the force system shown in the figure below with respect [05]
    to point A. 1A
    50 kN 80 kN
    All other dimensions
    90 kNm are in mm.

    60
    40 kN
    30⁰
    A 30 kN
    50
    Q4(b) Determine the reaction offered by the walls of the channel if the diameters of the [05]
    balls are 300 mm and they are resting in the channel as shown in figure below. 1A
    400 N 300 N

    All other dimensions


    are in mm.

    500

    Q5(a) Draw bending moment and shear force diagram for the beam shown. [06]
    1A
    20 kN/m 50 kN
    40 kNm

    2m 3m 4m 2m

    Q5(b) At a point in piece of material there is a tensile stress of 60MPa acting on a [05]
    horizontal plane and a compressive stress of 80MPa on vertical plane. There is 4A
    also a shear stress of 40MPa on each of these planes. Determine the principal
    stresses and their planes and maximum shear stress.
    OR
    Q5(b) At a point in material there are two direct stresses 80MPa tensile stress and [05]
    60MPa compressive stress acting at right angle to each other. The greatest 4A
    principal stress in material is limited to 120MPa. To what shear stress may be
    subjected on the given planes and what will be then maximum shear stress at the
    point?

    Q6(a) A rectangular cast iron column of size 800mm x 500mm rigidly fixed at one end [05]
    and pin joint at the other end, has its length 8m and Modulus of Elasticity 4A
    90000N/mm2. Calculate the critical load of this column by Euler formula.
    Compare this load with crushing load given by Rankin’s formula, using
    compressive stress as 550N/mm2.
    Q6(b) A spherical shell of 300mm diameter with a wall thickness 8mm contains a fluid [04]
    at a pressure of 3N/mm2. Calculate the hoop stresses introduced, change in 4A
    diameter and change in volume, if Modulus of Elasticity is 2x105N/mm2 and
    Poisson’s ratio is 0.3.
    OR
    Q6(b) A thin cylindrical shell of diameter 1.8m is provided with hemispherical ends. If [04]
    it is subjected to an internal pressure of 3N/mm2 find the thickness of cylindrical 4A
    and hemispherical parts for a permissible stress of 140N/mm2.

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