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GATE 2022 Toppers Weekly Quiz 1

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Question 1

A steel is subjected to principal stresses of 90 N/mm2, 50 N/mm2 and 30 N/mm2. If the F.O.S. is 2 and Poisson’s ratio is 0.3, then the yield stress as per maximum strain energy theory is

Question 2

The kinematic determinacy of the portal frame consider members are inextensible is ?

Question 3

The flexibile plate load test conducted with 30 cm diameter plate on soil subgrade yielded a deflection of 0.25 cm under a stress of 600 kg/cm2. The modulus of elasticity of the subgrade soil (in kg/cm2) is

Question 4

On a broad gauge rail line for a 3 degree curve the equilibrium cant is provided for a speed of 80 kmph is-

Question 5

In setting up the plane table at a station Q, the corresponding plotted point q was not accurately centered over Q. If the displacement of Q was 20 cm in a direction at right angles to the ray, then the displacement of the point from its true position on the plan, when the representative fraction is 1: 500, is _______ mm.

Question 6

If the effective depth and effective cover of a deep continuous beam is 600 mm and 50 mm respectively, then its maximum effective length will be ____ mm.

Question 7

If , then A2 is equal to

Question 8

Water flows from a lake into a steep rectangular channel of 2 m width. If the discharge from take is 20 m3/s then critical depth of flow (in m) is –

Question 9

PERT calculations yield a project length of 60 weeks with a variance of 10 weeks. Probability factor corresponding to 95% probability is 1.65; Then the number of weeks required to complete the project with a probability of 95% is:

Question 10

The critical bending compressive stress in the extreme fibre of a structural steel section is 1000 MPa. It is given that the yield strength of the steel is 250 MPa, width of flange is 250 mm and thickness of flange is 15 mm. As per the provisions of IS: 800-2007, the nondimensional slenderness ratio of the steel crosssection is
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Dec 18ESE & GATE CE