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Page 2: D:Vijendra BhattVIJENDRA BHAT...A bar of diameter 30 mm is subjected to a tensile load such that the measured extension on a gauge length of 200 mm is 0.09 mm and the change is diameter

Office: F-126, (Lower Basement), Katwaria Sarai, New Delhi-110 016

Phone: 011-41013406 Mobile: 81309 09220, 97118 53908

Email: [email protected], [email protected]

Web: iesmasterpublications.com, iesmaster.org

CIVIL ENGINEERINGESE TOPICWISE OBJECTIVE SOLVED

PAPER-I

1995-2019

Page 3: D:Vijendra BhattVIJENDRA BHAT...A bar of diameter 30 mm is subjected to a tensile load such that the measured extension on a gauge length of 200 mm is 0.09 mm and the change is diameter

First Edition : 2016

Second Edition : 2017

Third Edition : 2018

Fourth Edition : 2019

Typeset at : IES Master Publication, New Delhi-110016

IES MASTER PUBLICATIONF-126, (Lower Basement), Katwaria Sarai, New Delhi-110016

Phone : 011-41013406, Mobile : 8130909220, 9711853908

E-mail : [email protected], [email protected]

Web : iesmasterpublications.com, iesmaster.org

All rights reserved.

Copyright © 2019, by IES MASTER Publications. No part of this booklet may bereproduced, or distributed in any form or by any means, electronic, mechanical,photocopying, recording, or otherwise or stored in a database or retrieval system withoutthe prior permission of IES MASTER, New Delhi. Violates are liable to be legallyprosecuted.

Page 4: D:Vijendra BhattVIJENDRA BHAT...A bar of diameter 30 mm is subjected to a tensile load such that the measured extension on a gauge length of 200 mm is 0.09 mm and the change is diameter

Engineering Services Examination is the gateway to an immensely satisfying job in the engineering sectorof India that offers multi-faceted exposure. The exposure to challenges and opportunities of leading thediverse field of engineering has been the main reason behind engineering students opting for EngineeringServices as compared to other career options. To facilitate selection into these services, availability ofarithmetic 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 EngineeringServices Examination (ESE). This book is an outcome of regular and detailed interaction with the studentspreparing for ESE every year. It includes solutions along with detailed explanation to all questions. Theprime objective of bringing out this book is to provide explanation to each question in such a mannerthat just by going through the solutions, students will be able to understand the basic concepts and havethe 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.

Mr. Kanchan Kumar ThakurDirector–IES Master

PREFACE

Page 6: D:Vijendra BhattVIJENDRA BHAT...A bar of diameter 30 mm is subjected to a tensile load such that the measured extension on a gauge length of 200 mm is 0.09 mm and the change is diameter

1. Strength of Material ...................................................................................... 001 – 192

2. Structure Analysis ......................................................................................... 193 – 304

3. Steel Structure ......................................................................................... 305 – 410

4. RCC and Prestressed Concrete .................................................................... 411 – 526

5. PERT CPM ......................................................................................... 527 – 612

6. Building Material ......................................................................................... 613 – 710

CONTENT

Page 7: D:Vijendra BhattVIJENDRA BHAT...A bar of diameter 30 mm is subjected to a tensile load such that the measured extension on a gauge length of 200 mm is 0.09 mm and the change is diameter

UNIT-1 STRENGTH OF MATERIALS

SYLLABUS

Elastic constants, stress, plane stress, Mohr’s circle of stress, strains, plane strain, Mohr’s circle of strain,combined stress, Elastic theories of failure; Simple bending, shear; Torsion of circular and rectangularsections and simple members.

CONTENTS

1. Strength of Materials .................................................................................. 01 – 32

2. Shear Force and Bending Moment ............................................................. 33 – 65

3. Deflection of Beams .................................................................................. 66 – 85

4. Transformation of Stress and Strain .......................................................... 86 – 110

5. Combined Stresses ................................................................................ 111 – 122

6. Bending Stress in Beams ...................................................................... 123 – 142

7. Shear Stress in Beams .......................................................................... 143 – 152

8. Torsion of Circular Shaft ......................................................................... 153 – 168

9. Columns ............................................................................................... 169 – 180

10. Springs ................................................................................................. 181 – 184

11. Thick and Thin Cylinder/Sphere .............................................................. 185 – 190

12. Moment of Inertia .................................................................................... 191 – 192

Page 8: D:Vijendra BhattVIJENDRA BHAT...A bar of diameter 30 mm is subjected to a tensile load such that the measured extension on a gauge length of 200 mm is 0.09 mm and the change is diameter

2 ESE Topicwise Objective Solved Paper-I 1995-2019 Civil Engineering

IES-19951. Given that for an element in a body of

homogeneous isotropic material subjected to

plane stress; x y, and z are normal strains in

x, y, z directions respectively and is thePoisson’s ratio, the magnitude of unit volumechange of the element is given by

(a) x y z (b) x y z( )

(c) x y z( ) (d) x y z1/ε 1/ε 1/ε

2. A solid metal bar of uniform diameter D and lengthL is hung vertically from a ceiling. If the densityof the material of the bar is and the modulusof elasticity is E, then the total elongation of thebar due to its own weight is

(a) L / 2E (b) 2L / 2E

(c) E / 2L (d) 2E

2L

3. A rigid beam ABCD is hinged at D and supportedby two springs at A and B as shown in the givenfigure. The beam carries a vertical load P at C.The sti f fness of spring at A is2K and that of B is K.

A B C

P

D

a a a

The ratio of forces of spring at A and that ofspring at B is(a) 1 (b) 2(c) 3 (d) 4

4. The stress-strain curve for an ideally plasticmaterial is

(a)

Strain

Stre

ss

(b)

Strain

Stre

ss

(c)

StrainS

tress

(d)

Strain

Stre

ss

5. A steel cube of volume 8000 cc is subjected toan all round stress of 1330 kg/sq. cm. The bulkmodulus of the material is 1.33 × 106 kg/sq. cm.The volumetric change is

(a) 8 cc (b) 6 cc(c) 0.8 cc (d) 10–3 cc

6. In terms of bulk modulus (K) and modulus ofrigidity (G), the Poisson’s ratio can be expressedas

(a) (3K – 4G)/(6K+4G) (b) (3K+4G)/(6K– 4G)(c) (3K – 2G)/(6K+ 2G) (d) (3K+2G)/(6K – 4G)

7. Two bars one of material A and the other ofmaterial B of same length are tightly securedbetween two unyielding walls. Coefficient ofthermal expansion of bar A is more than that ofB. When temperature rises the stresses inducedare

(a) tension in both materials(b) tension in material A and compression in

material B(c) compression in material A and tension in

material B

(d) compression in both materials8. A column of height ‘H’ and area at top ‘A’ has the

same strength throughout its length, under itsown weight and applied stress ‘P0’ at the top.Density of column material is ‘ ’. To satisfy the

1 STRENGTH OF MATERIALS

Page 9: D:Vijendra BhattVIJENDRA BHAT...A bar of diameter 30 mm is subjected to a tensile load such that the measured extension on a gauge length of 200 mm is 0.09 mm and the change is diameter

IES MASTER Publication

STRENGTH OF MATERIALS 3Civil Engineering

above condition, the area of the column at thebottom should be.

(a)HP0

gAe

(b)

gH

0PAe

(c) 0

gHPAe

(d) 0

HgPAe

9. A bar of diameter 30 mm is subjected to a tensileload such that the measured extension on agauge length of 200 mm is 0.09 mm and thechange is diameter is 0.0045 mm. The Poisson’sratio will be(a) 1/4 (b) 1/3(c) 1/4.5 (d) 1/2

10. When a mild-steel specimen fails in a torsion-test, the fracture looks like

(a)

(b)

(c)

(d)

11. A 2 m long bar of uniform section 50 mm2 extends2 mm under a limiting axial stress of 200 N/mm2. What is the modulus of resilience for thebar?(a) 0.10 units (b) 0.20 units(c) 10000 units (d) 200000 units

12. The stress level, below which a material has ahigh probability of not failing under reversal ofstress, is known as(a) elastic limit (b) endurance limit(c) proportional limit (d) tolerance limit

13. If E = 2.06 × 105 N/mm2, an axial pull of60 kN suddenly applied to a steel rod 50 mmin diameter and 4 m long, causes aninstantaneous elongation of the order of(a) 1.19 mm (b) 2.19 mm(c) 3.19 mm (d) 11.9 mm

IES-199614. A bar of circular cross-section varies uniformly

from a cross-section 2D to D. If extension of thebar is calculated treating it as a bar of averagediameter, then the percentage error will be(a) 10 (b) 25(c) 33.33 (d) 50

15. The length, coefficient of thermal expansion andYoung’s modulus of bar ‘A’ are twice that of bar‘B’. If the temperature of both bars is increasedby the same amount while preventing anyexpansion, then the ratio of stress developed inbar A to that in bar B will be(a) 2 (b) 4(c) 8 (d) 16

16. The lists given below refer to a bar of length L,cross sectional area A, Young’s modulus E,Poisson’s ratio and subjected to axial stress‘p’. Match List-I with List-II and select the correctanswer using the codes given below the lists:

List-I List-II

A. Volumetric strain 1. 2(1 + )

B. Strain energy per unit volume 2. 3(1 – 2 )

C. Ratio of Young’s modulus to 3.p (1 2 )E

bulk modulus

D. Ratio of Young’s modulus to 4.2p

2Emodulus of rigidity

5. 2(1 – )

Codes:A B C D

(a) 3 4 2 1

(b) 5 4 1 2

(c) 5 4 2 1

(d) 2 3 1 5

17. If all dimensions of prismatic bar of square cross-section suspended freely from the ceiling of aroof are doubled then the total elongation producedby its own weight will increase(a) eight times (b) four times(c) three times (d) two times

18. The stress at which a material fractures underlarge number of reversals of stress is called.(a) endurance limit (b) creep(c) ultimate strength (d) residual stress

Directions: The following items consist of twostatements, one labelled the ‘Assertion A’ and theother labelled the ‘Reason R’ you are to examine thesetwo statements carefully and decide if the AssertionA and the Reason R are individually true and if so,whether the Reason is a correct explanation of the

Page 10: D:Vijendra BhattVIJENDRA BHAT...A bar of diameter 30 mm is subjected to a tensile load such that the measured extension on a gauge length of 200 mm is 0.09 mm and the change is diameter

IES MASTER Publication

STRENGTH OF MATERIALS 17Civil Engineering

ANSWER KEY1. (a)

2. (b)

3. (c)

4. (c)

5. (a)

6. (c)

7. (d)

8. (c)

9. (b)

10. (a)

11. (a)

12. (b)

13. (a)

14. (a)

15. (b)

16. (a)

17. (b)

18. (a)

19. (b)

20. (a)

21. (a)

22. (a)

23. (d)

24. (c)

25. (c)

26. (d)

27. (a)

28. (d)

29. (a)

30. (b)

31. (a)

32. (c)

33. (d)

34. (c)

35. (a)

36. (a)

37. (d)

38. (a)

39. (d)

40. (b)

41. (a)

42. (a)

43. (d)

44. (a)

45. (d)

46. (b)

47. (b)

48. (b)

49. (a)

50. (a)

51. (a)

52. (b)

53. (a)

54. (b)

55. (b)

56. (a)

57. (c)

58. (c)

59. (c)

60. (c)

61. (b)

62. (d)

63. (b)

64. (c)

65. (d)

66. (c)

67. (c)

68. (b)

69. (c)

70. (c)

71. (a)

72. (c)

73. (c)

74. (a)

75. (a)

76. (d)

77. (c)

78. (a)

79. (b)

80. (b)

81. (c)

82. (a)

83. (a)

84. (a)

85. (d)

86. (c)

87. (b)

88. (b)

89. (d)

90. (d)

91. (b)

92. (c)

93. (c)

94. (a)

95. (b)

96. (b)

97. (d)

98. (d)

99. (c)

100. (a)

101. (d)

102. (a)

103. (a)

104. (d)

105. (d)

106. (c)

107. (c)

108. (c)

109. (a)

110. (a)

111. (b)

112. (b)

113. (d)

114. (d)

115. (a)

116. (b)

117. (c)

118. (a)

119. (b)

120. (d)

121. (d)

122. (b)

123. (c)

124. (c)

125. (b)

126. (d)

127. (a)

128. (c)

129. (a)

130. (b)

131. (b)

132. (a)

133. (*)

134. (b)

136. (c)

136. (c)

137. (b)

138. (a)

139 (a)

140. (b)

141. (c)