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Gate CE 2021: Semi Syllabus Quiz 1 (App update required to attempt this test)

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Question 1

As per IS 456-2000 for the design of reinforced concrete beam, the maximum allowable shear stress

depends on the

Question 2

A column section of size 350mm x 500mm is reinforced with 8 bars of 20mm diameter. The pitch of transverse steel provided is ____ mm?

Question 3

Two closely coiled helical springs 'A' and 'B' are equal in all respects but number of turns of spring 'A' is half that of spring 'B', the ratio of deflections in spring 'A' to spring 'B' is -___________.

Question 4

Which of the following statements are not correct?
1) Strain Energy method can be used to find out the deflection of the member only.
2) Strain Energy method can be used for a section having variable flexural rigidity.
3) Castigliano’s first theorem gives the deflection at a point.
4) Moment area method cannot be used for the beams having variable section properties.

Question 5

An aquifer is spread over 300 Ha. The water table in the aquifer was 6 m below the ground surface. A drawdown of 3 m was observed after sometime. Find the change in the ground water storage if the porosity of the aquifer is 0.43 and the specific retention is 0.15.

Question 6

The discharge required for rabi and kharif crops are 0.8 cumec and 0.6 cumec respectively.The capacity factor and time factor are 0.75 and 0.6 respectively for all seasons. The design discharge(cumec) at the head would be :

Question 7

A venturimeter laid at 45 ° to the horizontal is connected to a differential mercury manometer and the deflection shown is 'a' cm. If the venturimeter is made horizontal, tha deflection in the manometer will be

Question 8

At a point on a streamline, the velocity is 3 m/s and the radius of curvature is 9 m. If the rate of increase of velocity along the streamline at this point is 1/3 m/s/m, then the total acceleration at this point would be

Question 9

Given below is a rigid frame member. This member will not show any side sway if
I₁= the moment of inertia of the column cross section
I₂= the moment of inertia of the beam cross section.

Question 10

The only manufacturing process of steel in which sulphur is effectively reduced is?

Question 11

A rectangular concrete beam of width 150 mm and depth 250 mm is prestressed by pretensioning to a force of 200 kN at an eccentricity of 30 mm. the cross-sectional area of the prestressing steel is 200 mm². Take modulus of elasticity of steel and concrete as 2.1 x 10⁵ MPa and 3 x 10⁴ MPa respectively. The percentage loss of stress in the prestressing steel due to elastic deformation of concrete is ________.

Question 12

A simply supported beam of section size 400 × 600 mm is loaded symmetrically. The beam is spanning over a clear span of 6 m and the width of the supports is 400 mm. Calculate the factored bending moment (in kNm, round off to two decimal places) developed in the beam due to this loading.

Question 13

An isolated simply supported T-beam, constructed using M20 concrete and Fe250 steel, having effective span of 9 m and cross-sectional dimensions as shown in the figure is subjected to a working moment of 270 kNm. If neutral axis lies in the web, then the depth of neutral axis is _______ mm.
[The beam is designed using WSM]

Question 14

The slope at point B is

Question 15

A hollow steel shaft 1.5 m long is to transmit a torque of 80 kN-m. What will be the inside diameter (in mm) of shaft, if the angle of twist should not exceed 1 ° and the allowable shear stress is 90 MPa?
[Take G = 85 GPa]

Question 16

A hollow cast iron column whose outside diameter is 200 mm has a thickness of 20 mm. It is 4.5 m long and is fixed at both ends. Calculate the ratio of Euler’s to Rankine’s critical load.
[For cast iron $Description: E:\Gate\Gate-CE-Civil\01_SOM_BLok_files\image112.png$ = 94000 N/mm²]

Question 17

The mean annual flood is 800 m³/s and the standard deviation of the series is 120 m³/s. What is the return period of a flood of magnitude 1100 m³/s. Take reduced mean Y_n as 0.577 and reduced standard deviation S_n as 1.2825

Question 18

For the data given in the table below, compute the peak demand (in cumec) and average discharge (in cumec)

Question 19

An orifice having a diameter of 10cm discharging water and the venacontracta formed has a diameter of 9cm. If the coefficient of velocity is 0.96, then what is the coefficient of discharge?

Question 20

A sluice across a channel 7.2m wide discharges a stream 1.2m deep. Depth upstream of sluice is 7.2m. On downstream side concrete blocks have been placed to create condition for the hydraulic jump to occur. Calculate the force (in kN) on sluice gate. Velocity upstream of sluice is 1.72m/s.

Question 21

A hemispherical parachute is to be designed so that a paratrooper weighing 1.0 kN drops through air (density = 1.5 $Description: E:\Gate\SSC JE Civil Part 1-Done\04_FM_BLok_files\image056.png$ ) and touches the ground surface with a velocity not exceeding 6 m/s Assuming, $Description: E:\Gate\SSC JE Civil Part 1-Done\04_FM_BLok_files\image057.png$ . The approximate integer value of the parachute diameter, when opened, is_______m.(Assuming total weight including parachute= 1kN)

Question 22

For a turbulent boundary lary layer (under zero pressure gradient), the velocity profile is described by the one-fifth power law. What is the ratio of displacement thickness to boundary layer thickness?

Question 23

For the truss shown below, the number PQ is short by 3 mm. The magnitude of vertical displacement of joint R (in mm) is)______________

$Description: D:\GradeStack Courses\GATE Tests (Sent by Ravi)\Civil-Engineering-2014_files\image167.jpg$

Question 24

The maximum tension in the cable, when 10 kN load is moving from point P towards Q, is ________kN.

Question 25

The network for a project is shown below. Find the expected time for the critical path.

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