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1.
What is the total degree of indeterminacy in the continuous prismatic beam shown in the above figure? (a) 1 (b) 2 (c) 3 (d) 4 Ans. (d) 2.
What is the total degree of of indeterminacy (both internal and external) of the cantilever plane truss shown in the above figure? (a) 2 (b) 3 (c) 4 (d) 5 Ans. (a) 3.
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What is the number of independent degrees of freedom of the two-span continuous beam of uniform section shown in the above figure? (a) 1 (b) 2 (c) 3 (d) 4 Ans. (d) 4.
What is the kinematic indeterminacy indeterminacy for the frame shown above? (Member inextensible) (a) 6 (b) 11 (c) 12 (d) 21 Ans. (b) 5.
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The propped cantilever AB carries a uniformly distributed load of q / unit un it length. In this condition the moment reaction
What is the clockwise moment required at B to
make the slope of the deflection curve equal to zero?
Ans. (c) 6.
The fixed fixed beam AB has a hinge C at mid span. A concentrated load P is applied at C. What is the fixed end moment MA?
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Ans. (b) 7.
What is the shear equation in slope deflection deflection method for the portal po rtal frame shown above?
Ans. (a) 8.
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For the propped cantilever shown in the above figure, a hinge is provided at C. A and B are at the same same level. level. What is the force reaction reaction at the fixed end A?
Ans. (b) 9. Match List-I with List-II and select the correct answer a nswer using the code given below the lists: List-I (Analysis Method)
A. Kane’s method
C. Column method
D. Displacement method
List-II (Structure Type)
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B. Force method
Code:
A
B
C
D
(a)
4
1
3
2
(b)
4
3
1
2
(c)
2
1
3
4
(d)
2
3
1
4
Ans. (b) 10.
A portal frame has a collapse collapse mechanism as shown above. What is the type? (a) Pure portal mechanism (b) Panel mechanism (c) Combined mechanism (d) Dual beam mechanism Ans. (c) 11.
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For the rigid frame shown above, what is the moment reactions reactions at A? (a) 5 kNm (b) 10 kNm (c) 12.33 kNm (d) 15 kNm Ans. (b) 12. If the free end of a cantilever of span -and flexure rigidity- El undergoes a unit displacement (without rotation). what is the bending moment induced at the fixed end?
Ans. (d) 13.
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A fixed beam AB, of constant El, shown in the above figure, supports a concentrated concentrated load of 10 kN. What is the fixed end-moment MFAB at support A ? (a) 4.8 kNm (b) 6.0 kNm (c) 7.2 kNm (d) 9.5 kNm Ans. (c) 14.
In the Portal frame shown above, a bove, what are the distribution d istribution factors for members BA, BC and BD respectively?
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Ans. (a)
15. Which one of the following is correct? An intermediate vertical stiffener connected to the web is designed to withstand a shearing force fo rce of not less than
Ans. (d)
16.
What is the failure of a section shown in the figure above called? 1. Web buckling 2. Web crippling 3. Web crimpling
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4. Column buckling Select the correct answer using the code given below: (a) 1 and 2 (c) 1 and 4 (b) 2 and 3 (d) 2 and 4 Ans. (b) 17. A load P is applied at the middle of a simply supported beam of span L. If the beam is made of ductile material, and Mp is the plastic moment, what is the ultimate value of P?
Ans. (d) 18 What is the moment capacity of an under- reinforced rectangular RCC beam? (a) R b d 2 (b) R d b 2 (c) Ast, σst, j d (d) Ast, j d (Symbols have the usual meaning) Ans. (c)
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19. If everyone of the three angles of a triangle has a probable error of ± 1”, then what will be the probable error in the sum of the so measured internal angles of the triangle? (a) ±1” (b) ±3” (c) ±9” (d) ±√3 Ans. (d)
20. The approximate hourly output of a scraper scraper is given by
by where C is
the struck capacity of the scraper in m 3 and D is the one-way haul ha ul distance in meters. 3 For a nominal 7m scraper hauling over 65m, the hourly output will will nearly be (a) 170 m3 (b) 160 3 (c) 150 m3 (d) 140 m3 Ans. (d)
21. If the weight of an angle A (= 400 24´ 24´´ say) is 2, then the weight of the angles A/3 (= 13° 28´ 08´´) 08 ´´) will be be (a) 4 (b) ± √3 (c) 9
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(d) 18 Ans. (d)
22. If δ is the declination of a star and a nd φ is the latitude of the place p lace of observation, then for a circumpolar star (a) δ ≤ φ (b) δ ≥ φ (c) δ ≤ (90o- φ) (d) δ ≤ (90o- 2φ) Ans. (c) 23. Consider the below figure relating to buoyancy in water. What will be the downward force upon the top of the body ABCDEF?
(a) Weight of the liquid column ABCNG (b) Weight of the liquid column DEFGH. (c) Weight of the liquid column ABCHG — weight of the liquid column DEFGH (d) Weight of the liquid column ABCHG + weight of the liquid column DEFGH Ans. (a)
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24. Consider the following statements in respect of two-dimensional incompressible flow with velocity components u and v in x and y directions respectively: 1. The continuity equation is
2. The acceleration in x-direction is
3. The condition of irrotationality is 4. The equation of a streamline is Which of the above statements are correct? (a) 2 and 3 only (b) 1 and 2 only (c) 1, 2 and 3 (d) 3 and 4 Ans. (a)
25. The land use of an area and the corresponding runoff coefficients are as follows:
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What is the equivalent runoff coefficient? (a) 0.15 (b) 0.36 (c) 0.40 (d) 0.51 Ans. (c) 26.. Consider the following properties for clays X and Y:
Which of the clays, X or Y, experiences e xperiences larger settlement settlement under identical loads; is more plastic; and is softer in consistency? (a) X, Y and X (b) Y, X and X. (c) Y, X and Y (d) X, X and Y Ans. (c) 27. An engine was tested at local atmospheric pressure of 73 cm of mercury and local temperature tempe rature of 10°C, 10°C, and was found to develop deve lop X1 units of power. If it was later worked at conditions of 75 cm of mercury as local atmospheric pressure and at local temperature of 16°C, what proportion of X1 will it then develop? (a) nearly
time more
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(b) nearly
times less
(c) nearly
times more
(d) nearly
times less
Ans. (c)
28. Match List-I with List-II and select the correct answer using usi ng the code given below the lists: List-I
List-II
Code:
A
B
C
D
(a)
3
1
5
2
(b)
2
1
4
3
(c)
3
5
1
4
(d)
2
4
1
3
Ans. (a)
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29. What is the net ne t downward load to be b e considered for the analysis of the prestressed p restressed concrete beam provided with a parabolic c7 able as shown in the figure? 30 kN/m (including selfweight)
(a) 12 kN/m (b) l2 kN/m (c) 14 kN/m (d) l5 kN/m Ans. (c)
30. How many links are deletable in in the A-O-N network shown above?
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(a) None (b) One (c) Two (d) Three Ans. (b)
31. Consider the accompanying A-O-N diagram;
Which one of the following A-O-A diagrams diagrams correctly represents this A-O-N diagram?
Ans. (c)
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32. The scheduled durations, by the convention ‘after/at the end, of indicated day number’ and the cost cost per day of duration, duration, of of each each activity are shown shown in in the network. What are the costs incurred on day numbers 13 and 17?
(a) 14 and 20 (b) 11 and 18 (c) 14 and 21 (d) 11 and 21 Ans. (c)
33. What is the proportional variation; variation; and what is; the ‘range’ of project duration; the network as shown with the indicated probabilistic a, m, b durations of the respective activities?
(a)
28 to 42
(b)
30 to 45
(c)
28 to 42
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(d)
30 to 45
Ans. (a)
34. The details of the principal stresses at a certain point in steel member are a re as as follows: Major principal stress
= 180 N/mm2 (Tensile)
Major principal principal stres stress s is (Compres (Compressiv sive). e). If If the uniaxi uniaxial al tensile tensile yield yield stres stress s is 240 N/mm2, according to maximum shear stress theory, what would be the value of
in
N/mm2 which yielding will commence? (a) 120 tension (b) 90 tension (c) 80 compression (d) 60 compression Ans. (d)
35. An element of a structure is subjected to two principal stresses
and
= 200 N/mm2 (tensile), is compressive. The yield stress both in simple tension and compression for the material is 240 N/mm2. Poisson’s ratio µ = 0.25; what is the value of in N/mm2 as per maximum normal strain theory at which the yield of the material will commence? (a) 240 (b) 200 (c) 180
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(d) 160 Ans. (d)
36. A structural beam subjected to sagging bending has a cross-section cross-section which is an unsymmetrical I-section. The overall depth of the beam is 300 mm. The flange stresses in the beam is 300 mm. The flange flange stresses in the beam are = 200 N/mm2 = 50 N/mm2 What is the height in mm of neutral axis above the bottom flange? (a) 240 mm (b) 60 mm (c) 180 mm (d) 120 mm Ans. (a)
37. A circular column of external diameter D, and internal diameter d, carries an eccentric load such that tension is developed nowhere: What shall be the diameter of the core? (a)
(b)
(c)
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(d) Ans. (c)
38. A mild steel bar of square cross section 25 mm × 25 mm is 1 m long. It is subjected subjected to bi-axial stress = 480 N/mm2 (Tension) and = 400 N/mm2 (Compression). E = 2 × 105 N/mm2, µ = 0.3, what is the elongation of the bar in mm in x direction? (a) 1.0 (b) 1.5 (c) 2.0 (d) 3.0 Ans. (d)
39. Given figure shows, a state of plane stress. If the minimum principal stress is —7 MN/rn2 then what is the value of ?
(a) 30 MN/m2 (b) 68 MN/m2 (c) 98 MN/m2 (d) 105 MN/m2 Ans. (d)
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40. A mild steel rod tapers uniformly from 30 mm diameter to 12 mm diameter in a length of 300 mm. The rod is subjected to an axial load of 12 kN. E = 2 × 105 N/mm2. What is the extension of the rod in mm? (a)
(b) (c) (d)
.
Ans. (d) 41. A simply supported beam AB is loaded as shown shown in the figure. What is the SF in kN in the portion AC of the beam?
(a) 2 (b) 4 (c) 0 (d) 6 Ans. (c)
42. A simply supported beam AB of span 4 m subjected to terminal couples as shown in the figure. If EI is in kN. m2, what is the
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magnitude of the central deflection of the beam in metres?
(a) 4/EI (b) 8/EI (c) 2/EI (d) 16/El Ans. (b)
43. At a point in a piece of stressed material the the stresses are: = α kN/m2 tensile (normal) =
β kN/m2 (shearing)
Although the values of α and β are not known yet the principal stresses are equal to each other being (5 kN/m2). What is the radius of Mohr’s circle? (a) 2.5 + (α + β) (b) 2.5 + (α + β) 2 (c) 0 (d) 2.5 Ans. (c) 44. Which one of the following is the correct bending moment diagram for a propped cantilever beam shown in figure below: b elow:
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Ans. (a)
45. Consider Consider the following statements with respect to the figure of a typical articulated frame:
1. The frame is internally determinate and externally indeterminate 2. The frame is internally indeterminate and externally determinate
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3. The frame is internally as well as externally determinate 4. The frame is internally as well as externally indeterminate Which of the above statements is/are correct? (a) 1 only (b) 1 and 2 (c) 3 only (d)) 3 and 4 Ans. (c)
46.
What is the force in member member 1 for the structure shown in figure above? (a) 30 kN (b) 60 kN (c) 75 kN (d) 80 kN Ans. (b) 47. A square section as shown in the figure is subjected to bending moment M. What is the maximum bending stress?
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(a)
(b)
(c) (d) Ans. (b)
48. Torsion applied to a circular shaft shaft results resul ts in a twist of 1° over a length len gth of 1 m. The T he maximum shear stress induced is 120 N/mm 2 and the modulus of rigidity of the shaft material is 0.8 × 10 5 N/mm2. What is the radius of the shaft? (a)
(b)
(c) (d) Ans. (d)
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49. The figure shows a pin-jointed frame. What are the forces in members BE, CD and ED?
(a) 10 kN, 5kN and 5kN (b) 10 kN, 5 kN and Zero (c) 5 kN, 10 kN and Zero (d) 5 kN, 5 kN and Zero Ans. (b)
50. What is the rotation of the member member at C for a frame as shown in figure?
(a) ML/3EI (b) ML/4EI (c) ML/6EI (d) ML/12EI Ans. (d)
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51. What is the moment at A for a frame as shown figure? Bach member indicated in dark lines has very large moment or o r inertia.
(a) PL/2 (b) PL/4 (c) PL/8 (d) PL/16 Ans. (d)
52. What is the bending moment at the the end B for the guided beam as shown in the figure considering the beam to be held rigidly at B against rotation and to support a load W?
(a) Zero (b) WI/4 (c) WI/2 (d) WI Ans. (c)
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53. What is the value of θB for the beam shown in figure?
(a) Zero (b) 15/EI anticlockwise (c) 30/EI anticlockwis a nticlockwise e (d) 30/EI clockwise Ans. (b)
54. A beam of uniform section fixed at both ends and of span 6 m is acted upon by two concentrated loads of 6 t each as shown in figure. What is the fixed end moment at each end?
(a) 6 tm (b) 8 tm (c) 10 tm (d) 12 tm Ans. (b)
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55. What is the value of vertical reaction at A for the frame f rame shown in figure?
(a) 0 (b) 10 kN (c) l6 kN (d) 20 kN Ans. (c)
56. Two bars AO and BO are of uniform area ‘A’ ‘A’ and are hinged at 0. What ii the Vertical deflection at 0 when elastic modulus is uniformly E?
Ans. (c)
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57. A beam of uniform flexural rigidity supports a set of loads as a s shown in figure below. What is is the value value of W if the magnitudes magnitudes of of bending moment at midspan and at support of the beam are numerically equal?
(a) 20 kN (b) 40 kN (c) 60 kN (d) 80 kN Ans. (b)
58. What is the reaction on the pin C for for a beam as shown in the figure?
Ans. (a)
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59. A propped cantilever beam of uniform moment capacity M0 is shown in figure. What is the collapse load W?
Ans. (c)
60. What is the collapse load in terms terms of MP , and l for the beam shown in figure?
Ans. (c)
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61. A prismatic beam (shape (shape factor, S) fixed at both ends carries UDL UDL throughout the span. What is the ratio of collapse load to yield load?
Ans. (a) 62. What is the distance between b etween elastic neutral neutral axis and plastic neutral axis for the cross- section as shown in figure?
(a) 60 mm (b) 50 mm (c) 40 mm (d) 20 mm Ans. (d)
63. Flexibility matrix of the beam shown is.:
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If support B settles by
units, what is the reaction at B?
(a) 0.75 ∆ (b) 3.0 ∆ (c) 6.0 ∆ (d) 24.0 ∆ Ans. (b)
64. What is the ordinate of influence line at at B for reaction RD in figure?
(a) 0.5 (b) 0.4 (c) 0.2 (d) Zero Ans. (a)
65. What is the value of flexibility coefficient f12 for the continuous beam shown in figure?
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Ans. (d)
66. What is the maximum ordinate for influence line for the force in the member marked X?
(a) 1.0 (b) 1.33 (c) 1.50 (d) 2.50 Ans. (b)
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67. A symmetric plate girder is of I section of depth D. The flange plates are of area Af each and the web plate is of area Aω. What is the plastic section modulus of the above section provisionable p rovisionable for design?
Ans. (b) 68. Which one of the following graphs represents the the compressive strength (σbc) versus slenderness ratio (λ)?
Ans. (d)
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69. What is the safe load P that can be transmitted by the fillet-welded joint shown in figure if the safe allowable shear stress in the fillet- weld is 108 MPa? MPa?
(a) 60 kN (b) 66 kN (c) 77 kN (d) 81 kN Ans. (c) 70. At the point of collapse, what is the value of of the horizontal thrust at point A in the loaded frame shown in figure?
(a) 3 P (c) 1.5 P (b) 2 P (d) P Ans. (d)
71. A RC column of square cross-section (400 x 400 mm2) has its column load moment interaction diagram as shown in figure.
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What is the maximum uniaxial eccentricity at which a factored fa ctored load Pu = 640 kN can be applied safely? (Take fck = 20 MPa)
(a) 300 mm (c) 600 mm (b) 400 mm (d) 800mm Ans. (c)
72. What is the slenderness slenderness ratio to be considered in design for member BC in the structure shown below?
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(a) 75 (b) 150 (c) 100 (d) 200 Ans. (b)
73. In a T-section shown in figure, what is the distance of plastic neutral neutral axis as measured down from top?
(a) 100 mm (b) 150 mm (d) 300 mm (c) 200 mm Ans. (b)
74. A simply supported RC beam having clear span 5 m and support width 300 mm has cross-section as shown in figure. What is effective span of the beam as per 1S456?
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(a) 5300 mm (b) 5400 mm (c) 5200 mm (d) 5150 mm Ans. (a)