Two flow patterns are represented by their stream functions ψ and ψ as given below:ψ = + , ψ = 2 If these two patterns are superimposed on one another, the resulting streamline pattern can be represented by one of the following :

A family of parallel straight lines

The slope of the -log curve for a soil mass gives :

coefficient of volume compressibility,

386 + Mcqs in Gate Exam Questions in Civil Engineering Page 2 McqOptions

51.	Two flow patterns are represented by their stream functions ψ and ψ as given below:ψ = + , ψ = 2 If these two patterns are superimposed on one another, the resulting streamline pattern can be represented by one of the following :
A.	A family of parallel straight lines
B.	A family of circles
C.	A family of parabolas
D.	A family of hyperbolas
Answer» C. A family of parabolas

Discussion

52.	A pre-tensioned concrete member of section 200 mm x 250 mm contains tendons of area 500 mm at centre of gravity of the section. The prestress in the tendons is 1000 N/mm. Assuming modular ratio as 10, the stress (N/mm) in concrete is
A.	11
B.	9
C.	7
D.	5
Answer» C. 7

Discussion

53.	A river 5 m deep consists of a sand bed with saturated unit weight of 20 kN/m . = 9.81 kN/m. The effective vertical stress at 5 m from the top of sand bed is
A.	41 kN/m
B.	51 kN/m
C.	55 kN/m
D.	53 kN/m
Answer» C. 55 kN/m

Discussion

54.	The degree of kinematic indeterminacy of the rigid frame with clamped ends at and shown in the below figure is,
A.	4
B.	3
C.	2
D.	zero
Answer» C. 2

Discussion

55.	A point load of 700 kN is applied on the surface of thick layer of clay. Using Boussinesq's elastic analysis, the estimated vertical stress (σ) at a depth of 2 m and a radial distance of 1.0 m from the point of application of the load, is :
A.	47.5 kPa
B.	47.6 kPa
C.	47.7 kPa
D.	47.8 kPa
Answer» E.

Discussion

56.	The following two statements are made with reference to the planar truss shown below With refernece to the above statements, which of the following applies ?
A.	Both statements are ture.
B.	Both statements are false.
C.	II is true but I false.
D.	I is true but II is false.
Answer» D. I is true but II is false.

Discussion

57.	The strain energy stored in member of the pin-jointed truss shown in the below figure, when and are same for all members, is
A.	2
B.	/
C.	/
D.	/2
E.	Zero
Answer» D. /2

Discussion

58.	In a river, discharge is 173 m/s; water surface slope is 1 in 6000; and stage at the gauge station is 10.0 m. If during a flood, the stage at the gauge station is same and the water surface slope is 1 in 2000, the flood discharge in m/s, is approximately
A.	371
B.	100
C.	519
D.	300
Answer» E.

Discussion

59.	The Piezometric head at point , in the experimental set-up shown in the below figure when the flow takes place under a constant head through the soils and is
A.	0 cm
B.	40 cm
C.	80 cm
D.	120 cm
Answer» E.

Discussion

60.	A simply supported beam with an overhang is traversed by a unit concentrated moment from the left to the right as shown below The influence line for reaction at B is given by
A.	zero everywhere.
Answer» B.

Discussion

61.	The parameters in Horton's infiltration equation are given as, = 7.62 cm/hour, = 1.34 cm/hour and = 4.182/hour. For assumed continuous ponding the cumulative infiltration at the end of 2 hours is
A.	2.68 cm
B.	1.50 cm
C.	1.34 cm
D.	4.18 cm
Answer» D. 4.18 cm

Discussion

62.	The plan of a survey plotted to a scale of 10 m to 1 cm is reduced in such a way that a line originally 10 cm long now measures 9 cm. The area of the reduced plan is measured as 81 cm. The actual (m) of the survey is
A.	10000
B.	6561
C.	1000
D.	656
Answer» B. 6561

Discussion

63.	For the structure shown below, the vertical deflection at point is given by
A.	Zero
Answer» C.

Discussion

64.	The effective width of a reinforced concrete beam flange under compression, according to IS : 456-1978, given is the distance between the adjacent zero moment points, is the breadth of the rib and is the thickness of the flange, is
A.	+ 6
Answer» B.

Discussion

65.	In a steady radial flow into an intake, the velocity is found to vary as (1/), where is the radial distance. The acceleration of the flow is proportional to
A.	1/
B.	1/
C.	1/
D.	1/
Answer» B. 1/

Discussion

66.	A hydraulic turbine has a discharge of 5 m/s, when operating under a head of 20 m with a speed of 500 rpm. If it is to operate under a head of 15 m, for the same discharge, the rotational speed in rpm will approximately be
A.	433
B.	403
C.	627
D.	388
Answer» B. 403

Discussion

67.	A nozzle discharging water under head H has an outlet area "a" and discharge coefficient = 1.0. A vertical plate is acted upon by the fluid force when held across the free jet and by the fluid force when held against the nozzle to stop the flow, the ratio / is
A.	1/2
B.	1
C.	2
Answer» C. 2

Discussion

68.	A hydraulic turbine develops a power of 10 metric horse power while running at a speed of 100 revolutions per minute, under a head of 40 m. Its specific speed is nearest to one of the following :
A.	100
B.	628
C.	523
D.	314
Answer» B. 628

Discussion

69.	The 5-day BOD of a wastewater sample is obtained as 190 mg/l (with = 0.01 h). The ultimate oxygen demand (mg/l) of the sample will be
A.	3800
B.	475
C.	271
D.	190
Answer» D. 190

Discussion

70.	The slope of the -log curve for a soil mass gives :
A.	coefficient of permeability,
B.	coefficient of consolidation
C.	compression index,
D.	coefficient of volume compressibility,
Answer» D. coefficient of volume compressibility,

Discussion

71.	-component of velocity in a 2- incompressible flow is given by = + 4 . If -com-ponent of velocity '' equals zero at = 0, the expression for '' is given by
A.	4
B.	2
C.	-2
D.	2
Answer» D. 2

Discussion

72.	A 40° slope is excavated to a depth of 10 m in a deep layer of saturated clay of unit weight 20 kN.m; the relevant shear strength parameters are = 70 kN/m and φ = 0. The rock ledge is at a great depth. The Taylor's stability coefficient for φ = 0 and 40° slope angle is 0.18. The factor of safety of the slope is :
A.	2.0
B.	2.1
C.	2.2
D.	2.3
Answer» B. 2.1

Discussion

73.	The ruling minimum radius of horizontal curve of a national highway in plain terrain for ruling design speed of 100 km/hour with = 0.07 and = 0.15 is close to
A.	250 m
B.	360 m
C.	36 m
D.	300 m
Answer» C. 36 m

Discussion

74.	In an iceberg, 15% of the volume projects above the sea surface. If the specific weight of sea water is 10.5 kN/m , the specific weight of iceberg ir kN/m is
A.	12.52
B.	9.81
C.	8.93
D.	7.83
Answer» D. 7.83

Discussion

75.	A reinforced concrete column contains longitudinal steel equal to 1 percent of net cross-sectional area of the column. Assume modular ratio as 10. The loads carried (using the elastic theory) by the longitudinal steel and the net area of concrete, are and respectively. The ratio / expressed as percent is
A.	0.1
B.	1
C.	1.1
D.	10
Answer» E.

Discussion

76.	A water treatment plant is required to process 28800 m/d of raw water (density = 1000 kg/m, kinematic viscosity = 10 m/s). The rapid mixing tank imparts tank a velocity gradient of 900 to blend 35 mg/l of alum with the flow for a detention time of 2 minutes. The power input (W) required for rapid mixing is
A.	32.4
B.	36
C.	324
D.	32400
Answer» E.

Discussion

77.	A road is provided with a horizontal circular curve having deflection angle of 55° and centre line radius of 250 m. A transition curve is to be provided at each end of the circular curve of such a length that the rate of gain of radial acceleration is 0.3 m/s3 at a speed of 50 km per hour. Length of the transition curve required at each of the ends is
A.	2.57 m
B.	33.33 m
C.	35.73 m
D.	1666.67 m
Answer» D. 1666.67 m

Discussion

78.	The plan of a survey plotted to a scale of 10 m to 1 cm is reduced in such a way that a line originally 10 cm long now measures 9 cm. The area of the reduced plan is measured as 81 cm2. The actual (m2) of the survey is
A.	10000
B.	6561
C.	1000
D.	656
Answer» B. 6561

Discussion

79.	A wastewater sample contains 10-5.6 mmol/l of OH ions at 25° C. The pH of this sample is
A.	8.6
B.	8.4
C.	5.6
D.	5.4
Answer» E.

Discussion

80.	The flow of water (mass density = 1000 kg/m3 and kinematic viscosity = 10-6 m2/s) in a commercial pipe, having equivalent roughness ks as 0.12 mm, yields an average shear stress at the pipe boundary = 600 N/m2. The value of ks/δ' (δ' being the thickness of laminar sub-layer) for this pipe is
A.	0.25
B.	0.5
C.	6
D.	8
Answer» E.

Discussion

81.	The stepped cantilever is subjected to moments, M as shown in the figure below. The vertical deflection at the free end (neglecting the self weight) is
A.	[A].
B.	[B].
C.	[C].
D.	Zero
Answer» D. Zero

Discussion

82.	The maximum tensile stress at the section X-X shown in the figure below is
A.	[A].
B.	[B].
C.	[C].
D.	[D].
Answer» B. [B].

Discussion

83.	A continuous beam is loaded as shown in the figure below. Assuming a plastic moment capacity equal to MP, the minimum load at which the beam would collapse is
A.	[A].
B.	[B].
C.	[C].
D.	[D].
Answer» C. [C].

Discussion

84.	Rivets and bolts subjected to both shear stress (τvf , cal) and axial tensile stress (σtf , cal) shall be so proportioned that the stresses do not exceed the respective allowable stresses τvf and σtf and the value of exceed does not exceed
A.	1
B.	1.2
C.	1.4
D.	1.8
Answer» D. 1.8

Discussion

85.	The maximum shear stress in a solid shaft of circular cross-section having diameter d subjected to a torque T is τ. If the torque is increased by four times and the diameter of the shaft is increased by two times, the maximum shear stress in the shaft will be
A.	2τ
B.	τ
C.	τ/2
D.	τ/4
Answer» D. τ/4

Discussion

86.	The members EJ and IJ of steel truss shown in the figure below are subjected to a temperature rise of 30° C. The coefficient of thermal expansion of steel is 0.000012 per °C per unit length. The displacement (mm) of joint E relative to joint H along the direction HE of the truss, is
A.	0.255
B.	0.589
C.	0.764
D.	1.026
Answer» D. 1.026

Discussion

87.	A mild steel specimen is under uni-axial tensile stress. Young's modulus and yield stress for mild steel are 2 x 105 MPa and 250 MPa respectively. The maximum amount of strain energy per unit volume that can be stored in this speciment without permanent set, is
A.	156 Nmm/mm3
B.	15.6 Nmm/mm3
C.	1.56 Nmm/mm3
D.	0.156 Nmm/mm3
Answer» E.

Discussion

88.	A deep cut of 7 m has to be made in a clay with unit weight 16 kN/m3 and a cohesion of 25 kN/m2. What will be the factor of safety if one has to have a slope angle of 30° ? Stability number is given to be 0.178 (from Taylor's chart) for a depth factor of 3.
A.	0.8
B.	1.1
C.	1.25
D.	1
Answer» D. 1

Discussion

89.	A simply supported beam with an overhang is traversed by a unit concentrated moment from the left to the right as shown below The influence line for reaction at B is given by
A.	[A].
B.	[B].
C.	[C].
D.	zero everywhere.
Answer» B. [B].

Discussion

90.	For the structure shown below, the vertical deflection at point A is given by
A.	[A].
B.	[B].
C.	Zero
D.	[D].
Answer» C. Zero

Discussion

91.	A cantilever beam of length L and a cross section with shape factor f supports a concentrated load P as shown below The length LP of the plastic zone, when the maximum bending moment equals the plastic moment MP, given by
A.	[A].
B.	[B].
C.	[C].
D.	[D].
Answer» E.

Discussion

92.	The relation that must hold for the flow to be irrotational is
A.	[A].
B.	[B].
C.	[C].
D.	[D].
Answer» B. [B].

Discussion

93.	If duty (D) is 1428 hectares/cumec and base period (B) is 120 days for an irrigated crop, then delta (Δ) in meters is given by
A.	102.8
B.	0.73
C.	1.38
D.	0.01
Answer» C. 1.38

Discussion

94.	A two span beam with an internal hinge is shown below. The conjugate beam corresponding to this beam is
A.	[A].
B.	[B].
C.	[C].
D.	[D].
Answer» C. [C].

Discussion

95.	A frame ABCD is supported by a roller at A and is on a hinge at C as shown below The reaction at the roller end A is given by
A.	P
B.	2P
C.	P/2
D.	Zero.
Answer» E.

Discussion

96.	In a BOD test, 5 ml of waste is added to 295 ml of aerated pure water. Initial dissolved oxygen (D.O) content of the diluted sample is 7.8 mg/l. After 5 days of incubation at 20°C, the D.O. content of the sample is reduced to 4.4 mg/l. The BOD of the waste water is :
A.	196 mg/l
B.	200 m/l
C.	204 mg/l
D.	208 mg/l
Answer» C. 204 mg/l

Discussion

97.	Standard 5-day BOD of a waste water sample is nearly x% of the ultimate BOD, where x is
A.	48
B.	58
C.	68
D.	78
Answer» D. 78

Discussion

98.	In a BOD test using 5% dilution of the sample (15 ML of sample and 285 mL of dilution water), dissolved oxygen values for the sample and dilution water blank bottles after five days incubation at 20°C were 3.80 and 8.80 mg/L. respectively. Dissolved oxygen originally present in the undiluted sample was 0.80 mg/L. The 5-day 20°C BOD of the sample is
A.	116 mg/L
B.	108 mg/L
C.	100 mg/L
D.	92 Mg/L
Answer» E.

Discussion

99.	A 40° slope is excavated to a depth of 10 m in a deep layer of saturated clay of unit weight 20 kN.m3; the relevant shear strength parameters are cu = 70 kN/m2 and φu = 0. The rock ledge is at a great depth. The Taylor's stability coefficient for φu = 0 and 40° slope angle is 0.18. The factor of safety of the slope is :
A.	2
B.	2.1
C.	2.2
D.	2.3
Answer» B. 2.1

Discussion

100.	A point load of 700 kN is applied on the surface of thick layer of clay. Using Boussinesq's elastic analysis, the estimated vertical stress (σv) at a depth of 2 m and a radial distance of 1.0 m from the point of application of the load, is :
A.	47.5 kPa
B.	47.6 kPa
C.	47.7 kPa
D.	47.8 kPa
Answer» E.

Discussion

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Two flow patterns are represented by their stream functions ψ and ψ as given below:ψ = + , ψ = 2 If these two patterns are superimposed on one another, the resulting streamline pattern can be represented by one of the following :

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