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GATE 2022 Rapid Revision Weekly Quiz 5

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Question 1

A thin plate of area 1m × 1.2m is setting in a large tank of fluid whose mass density is 1200 kg/m3 and μ = 2 × 10-3 N-s/m2. The coefficient of drag is given by CD = RL = Plate Reynold Number.

Taking terminal velocity as 0.2 m/s. Total drag force is acting on vertical sides of plate is.

(Take 1.2 m as depth of plate).

Question 2Multiple Correct Options

Which of the following statements are true regarding momentum correction factor?

Question 3

A plate of 200 mm wide and 10 mm thick is used as tension member is connected to gusset plate using M20 bolts as shown in figure. The critical net sectional area of plate is

Question 4

Flow between parallel plates is taking place having fluid of viscosity equal to 2 × 10-4 Ns/m2. If pressure drop per meter length in the direction of flow is 300N/m2, and distance between parallel plates equal to 20mm. find out the discharge between plates in m3/sec.

Question 5

A compound column had been fabricated with 4 angles of ISA 60 × 60 × 6 placed at corners of a square 400 mm × 400 mm. The radius gyration of single angle is 11 mm. For the fabricated built up column, the overall slenderness ratio is 50. What is the maximum distance (in mm) between lacing bar attachments at the fabricated columns?

Question 6

A built-up column consists of ISMC 300 channels placed back to back at a spacing of 150 mm and carries a factored load of 250 kN. Double lacing is provided with an angle of 45° with the longitudinal axis. As per IS 800:2007, lacing members should be designed to resist the design axial load of ______ kN. (Round off to 1 decimal point)

Question 7

A plate of 0.5 m length and 0.3 m width is immersed in a fluid of sp. gravity 0.9 and kinematic viscosity 0.12 x 10-4 m2/s. the fluid is moving with a velocity of 5 m/s. The boundary layer thickness and shear stress at the end of the plate are, _______ respectively.

Question 8

Water flow over a flat plate at a free stream velocity of 0.15 m/s. There is no pressure gradient and medium boundary layer in 6mm thick. Assume a sinusoidal velocity profile  for the flow condition stated above calculate the skin friction coefficient. Assume

Question 9

A laminate wooden beam 120 mm wide and 240 deep is made up of three 120 mm × 80 mm planks glued together to resist longitudinal shear. The beam is support over a span of 3 meters. The safe U.D .L the wooden beam can carry, if the allowable shear stress in the glued joints is 0.5 N/mm2 is ________.

Question 10

A saturated soil sample has a volume of 23 m3 at liquid limit. The shrinkage limit and liquid limit are 18% and 45% respectively. The specific gravity of solids is 2.73. The minimum volume which can be attained by the soil is _________ cm3.

Question 11

In order to determine the relative density of a sand sample, its in-situ dry density was found to be 1.53 gm/cc. Soil sample were then compacted in a proctor’s mould of 1/30 cft. capacity, at loosest and the densest state. The following data were obtained:

Wt. of empty mould = 2100 gm

Wt. of mould + soil in the densest state =  3855 gm

Wt. of mould + soil in the loosest state =  3380 gm

Moisture content = 15%

Then relative density is

Question 12

A 3 meter circular timber beam has to carry an uniformly distributed load of 5 kN/m throughout the span. Determine the minimum diameter(in mm) required for a section if permissible stresses are 12 MPa and 8 MPa is compression and tension respectively.  

Given Span
     

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Jan 20ESE & GATE CE