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GATE 2022 Toppers Weekly Quiz 2

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Question 1

Consider the following activity of a certain network:

The value of is

Question 2

A fillet welded joint of 8mm size is shown in the figure. The weld surfaces meet at standard angle. The yield stress and the ultimate tensile stress of steel are 250 MPa and 410 MPa respectively. The welding is done in the workshop (ϒmw =1.25). Find the factored load that can be transmitted by the welded joint as IS 800:2007 is

Question 3

A motor rotates at 400 revolutions per minute. What will be the angular velocity of the motor in rad/sec?

Question 4

If the depletion of oxygen is found to be 2.5 mg/litre after incubating 2.5 ml of sewage in a 250 ml BOD bottle for 5 days at 20 °C, B.O.D of the sewage is

Question 5

The  net safe bearing capacity of a purely cohesive soil

Question 6

If the slope of infiltration capacity curve as shown in figure is -0.4605, the value of the constant k (i.e the rate of decay of the difference between initial and final infiltration rate) in the Horton's equation of infiltration capacity curve will be equal to _______time-1.

Question 7

The base width of an elementary profile of a gravity dam of height H is be. The specific gravity of the material of the dam in G and uplift pressure coefficient is K. The correct relationship for no tension at the heel is given by

Question 8

A normally consolidated clay settled 10 mm when effective stress was increased from 100 kN/m2 to 200 kN/m2 . If the effective stress in exactly same type of soil is increased from 200 kN/m2 to 400 kN/m2, then the settlement of the clay is,

Question 9

A project networking is to be using PERT method. Determine the expected time (days)of the project. Following is the network given;

The optimistic time (T0) , most likely time (TL) and pessimistic time (TP) of the activities are given below.

Question 10

A cantilever beam of 2 m span carries a load of 15 kN/m (with self weight). A ISMC 300 having a thickness of the web 7.2 mm is provided. Ix = 6420 cm4 and Iy = 313 cm4. What is the maximum shear stress and bending stress in the section in N/mm2 ?
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Dec 19ESE & GATE CE