CIVIL ENGINEERING
ESE TOPICWISE OBJECTIVE SOLVED
                              PAPER-I
                     1995-2024
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First Edition       : 2016
Second Edition      : 2017
Third Edition       : 2018
Fourth Edition      : 2019
Fifth Edition       : 2020
Sixth Edition       : 2021
Seventh Edition     : 2022
Eighth Edition      : 2023
Ninth Edition       : 2024
Typeset at : IES Master Publication, New Delhi-110016
                                             PREFACE
Engineering Services Examination (ESE) is the gateway to an immensely satisfying job in the engineering
sector of India that offers multi-faceted exposure. The exposure to challenges and opportunities of
leading the diverse field of engineering has been the main reason behind engineering students opting
for Engineering Services as compared to other career options. To facilitate selection into these services,
availability of numerical solution to previous years’ paper is the need of the day.
It is an immense pleasure to present previous years’ topic-wise objective solved papers of ESE. The
revised and updated edition of this book is an outcome of regular and detailed interaction with the
students preparing for ESE every year. The book includes solutions along with detailed explanation to
all the questions. The prime objective of bringing out this book is to provide explanation to each and
every question in such a manner that just by going through the solutions, ESE aspirants will be able to
understand the basic concepts, and have the capability to apply these concepts in solving other questions
that might be asked in future exams. Towards this end, this book becomes indispensable for every ESE
aspiring candidate.
                                                                              IES Master Publication
                                                                                  New Delhi
                                                     CONTENT
1.   Strength of Material ...................................................................................... 001 – 220
2.   Structure Analysis ......................................................................................... 221 – 342
3.   Steel Structure          ......................................................................................... 343 – 467
4.   RCC and Prestressed Concrete ................................................................... 468 – 599
5.   PERT CPM                 ......................................................................................... 600 – 700
6.   Building Material        ......................................................................................... 701 – 818
                                                                                                                       Civil Engineering
     2           ESE Topicwise Objective Solved Paper-I 1995-2024
                 1                                                  STRENGTH OF MATERIALS
                                                                         4.   The stress-strain curve for an ideally plastic
                            IES-1995                                          material is
1.       Given that f or an element in a body of
         homogeneous isotropic material subjected to plane
                                                                                    Stress
                                                                                                             Stress
         stress;  x ,  y and  z are normal strains in x, y,,               (a)                      (b)
         z directions respectively and  is the Poisson’s
                                                                                             Strain
         ratio, the magnitude of unit volume change of the                                                            Strain
         element is given by
         (a)  x   y  z                  (b)  x   (  y   z )
                                                                                    Stress
                                                                                                             Stress
                                                                              (c)                      (d)
         (c)  (  x   y   z )           (d) 1/ε x  1/ε y  1/ε z
                                                                                             Strain                   Strain
2.       A solid metal bar of uniform diameter D and length
         L is hung vertically from a ceiling. If the density             5.   A steel cube of volume 8000 cc is subjected to
         of the material of the bar is  and the modulus                      an all round stress of 1330 kg/sq. cm. The bulk
         of elasticity is E, then the total elongation of the                 modulus of the material is 1.33 × 106 kg/sq. cm.
         bar due to its own weight is                                         The volumetric change is
         (a)  L / 2E                        (b) L2 / 2E                     (a) 8 cc                 (b) 6 cc
                                                                              (c) 0.8 cc               (d) 10–3 cc
                                                   E
         (c)  E / 2L                        (d)                         6.   In terms of bulk modulus (K) and modulus of
                                                   2L2
                                                                              rigidity (G), the Poisson’s ratio can be expressed
3.       A rigid beam ABCD is hinged at D and supported                       as
         by two springs at A and B as shown in the given
         figure. The beam carries a vertical load P at C.                     (a) (3K – 4G)/(6K+4G) (b) (3K+4G)/(6K– 4G)
         The stiffness of spring at A is 2K and that of B                     (c) (3K – 2G)/(6K+ 2G) (d) (3K+2G)/(6K – 4G)
         is K.
                                                                         7.   Two bars one of material A and the other of material
                      a                  a             a                      B of same length are tightly secured between two
                                                                              unyielding walls. Coefficient of thermal expansion
                                                                              of bar A is more than that of B. When temperature
                                                               D              rises the stresses induced are
                 A                   B       C
                                                                              (a) tension in both materials
                                                   P
                                                                              (b) tension in material A and compression in
         The ratio of forces of spring at A and that of                           material B
         spring at B is                                                       (c) compression in material A and tension in
         (a) 1                               (b) 2                                material B
         (c) 3                               (d) 4                            (d) compression in both materials
Civil Engineering
                                                                                 STRENGTH OF MATERIALS                     3
8.    A column of height ‘H’ and area at top ‘A’ has the
                                                                                       IES-1996
      same strength throughout its length, under its
      own weight and applied stress ‘P0’ at the top.        14.      A bar of circular cross-section varies uniformly
      Density of column material is ‘  ’. To satisfy the            from a cross-section 2D to D. If extension of the
      above condition, the area of the column at the                 bar is calculated treating it as a bar of average
      bottom should be.                                              diameter, then the percentage error will be
                                                                     (a) 10                        (b) 25
               HP0                    gH 
                                        
      (a)                      (b)        P                         (c) 33.33                     (d) 50
            Ae g                  Ae 0 
                                                            15.      The length, coefficient of thermal expansion and
                gH                   H 
      (c)      
                  P
                     
                               (d)     
                                         gP
                                                                    Young’s modulus of bar ‘A’ are twice that of bar
            Ae  0                  Ae 0                          ‘B’. If the temperature of both bars is increased
9.    A bar of diameter 30 mm is subjected to a tensile              by the same amount while preventing any
      load such that the measured extension on a gauge               expansion, then the ratio of stress developed in
      length of 200 mm is 0.09 mm and the change is                  bar A to that in bar B will be
      diameter is 0.0045 mm. The Poisson’s ratio will                (a) 2                         (b) 4
      be
                                                                     (c) 8                         (d) 16
      (a) 1/4                  (b) 1/3
                                                            16.      The lists given below refer to a bar of length L,
      (c) 1/4.5                (d) 1/2                               cross sectional area A, Young’s modulus E,
10.   When a mild-steel specimen fails in a torsion-                 Poisson’s ratio  and subjected to axial stress
      test, the fracture looks like                                  ‘p’. Match List-I with List-II and select the correct
                                                                     answer using the codes given below the lists:
      (a)
                                                                    List-I                                       List-II
      (b)                                                         A. Volumetric strain                      1. 2(1 +  )
                                                                  B. Strain energy per unit volume 2. 3(1 – 2  )
      (c)
                                                                                                                 p
                                                                  C. Ratio of Young’s modulus to            3.     (1  2)
                                                                                                                 E
      (d)                                                           bulk modulus
11.   A 2 m long bar of uniform section 50 mm2 extends                                                           p2
                                                                  D. Ratio of Young’s modulus to            4.
      2 mm under a limiting axial stress of 200 N/                                                               2E
                                                                    modulus of rigidity
      mm2. What is the modulus of resilience for the
      bar?                                                                                                  5. 2(1 –  )
      (a) 0.10 units           (b) 0.20 units                        Codes:
      (c) 10000 units          (d) 200000 units                              A     B     C     D
12.   The stress level, below which a material has a               (a)       3     4     2     1
      high probability of not failing under reversal of
      stress, is known as                                          (b)       5     4     1     2
      (a) elastic limit        (b) endurance limit                 (c)       5     4     2     1
      (c) proportional limit   (d) tolerance limit                 (d)       2     3     1     5
13.   If E = 2.06 × 105 N/mm 2, an axial pull of            17.      If all dimensions of prismatic bar of square cross-
      60 kN suddenly applied to a steel rod 50 mm in                 section suspended freely from the ceiling of a
      diameter and 4 m long, causes an instantaneous                 roof are doubled then the total elongation produced
      elongation of the order of                                     by its own weight will increase
      (a) 1.19 mm              (b) 2.19 mm                           (a) eight times               (b) four times
      (c) 3.19 mm              (d) 11.9 mm                           (c) three times               (d) two times
                                                                                             IES MASTER Publication
                                                                                                              Civil Engineering
 22         ESE Topicwise Objective Solved Paper-I 1995-2024
                                                     EXPLANATIONS
1. (a)    Unit volume change,                                                 FA   2kB A   2 A   2  1.5 B
                                                                                 =        =      =            3
           V     Final volume – Initial volume                               FB    kB B    B        B
               =
            V                 Initial volume
                                                               4. (c)    An ideal plastic material experiences no elastic
           V     (1   x ) (1   y ) (1   z )  1
               =                                                         deformation.
            V                      1
          = 1 + x +y + z + xy + yz + zx + xy z–1                                      P
                                                               5. (a)         Bulk modulus =
                                                                                                V / V
       product of strain terms are very small, so ne-
       glecting them                                                                                1330
                                                                                  1.33  106 =  V / 8000
               V
   hence            =  x   y  z                                                     V = – 8 cc
                V
                                                                        (–) ve sign indicates reduction in volume if stress
2. (b)    Elongation in length, dx is d
                                                                        is compressive in nature.
                 Pdx
           d =        for a force of P on element (dx)
                 AE                                            6. (c)    We know,
                   L Ax  dx                                                          E = 2G (1 +  )                ... (i)
           d = 0 AE                                                                E = 3K (1 – 2  )             ... (ii)
                         2
                   L  x
                                 dx        dx                           (where  is poisson’s ratio)
            = 0
                     E 2                                                Equation (i)  (ii)
                                             x
                  L2                 Ax                                                   2 G 1   
               =                                                                      1=
                  2E                                                                        3 K (1  2)
                         L
                   x2 L2                                                   3K  6K = 2G  2G
            =   2E  2E                                                                  3K  2G
                 0
                                                                                      =
                                                                                            6K  2G
          Alternative
                                                               7. (d)    As the temperature rises, both the bars will
          The elongation of bar due to its own weight
                                                                         have tendency to expand but they are fixed
          (w) is                                                         between two unyielding walls so they will not
                 WL     ( AL)·L                                         be allowed to expand. Hence in both the bars
             =       =
                 2AE       2AE                                           compressive stress will develop.
                 L2
             =                                                                            P0
                 2E
                                                               8. (c)                           A
3. (c)    Given, KA = 2 KB
          Force carried by spring at A                                                ax
                                                                                                    x
                    = FA = k A  A  2k BA                               H                         dx
         Force carried by spring at B
                                                                                                         ax + dax
                    = FB = kBB
                         a           2a
                A            B
                                                                         As we move down weight of column will add
                                                                         up to produce stresses. Since the column has
                             B                                          same strength, so to satisfy the condition, the
                    A                                                   X-sectional area must increase as we move
                                      Deflected shape
                                                                         down
                                                                         Let area at distance x be ax and in length dx
         From similar triangles                                                   wt, added = gax dx
             A                                                         But stress has to remain constant
                 = B  A = 1.5 B
             3a    2a