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GATE ME 2021: National Champion Quiz-2 (App update required to attempt this test)

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Question 1



A prismatic bar of 40 × 20 mm2 is subjected to different point load As shown in figure & made up of steel having young’s Modulus of elasticity 200kN/mm2. Then total deformation of middle portion is (in μm)

Question 2

The rod PQ of length L and with flexural rigidity EI is hinged at both ends. For what minimum force F is it expected to buckle?

Question 3

Calculate the value of Poisson's ratio if bulk modulus(K) and modulus of rigidity(G) are 300 MPa and 400 MPa respectively __________. (upto 3 decimal places)

Question 4

A thin gas cylinder with an internal radius of 100 mm is subject to an internal pressure of 10 MPa. The maximum permissible working stress is restricted to 100 MPa. The minimum cylinder wall thickness (in mm) for safe design must be __________.

Question 5

A circular metallic rod of length 250 mm is placed between two rigid immovable walls as shown in the figure. The rod is in perfect contact with the wall on the left side and there is a gap of 0.2 mm between the rod and the wall on the right side. If the temperature of the rod is increased by 200 ° C, the magnitude of axial stress developed in the rod is MPa.
Young’s modulus of the material of the rod is 200 GPa and the coefficient of thermal expansion is 10-5 per °C.

Question 6

A simply supported beam AB is subjected to two point loads of 5N each as shown in the figure below. The bending moment at the mid-point of the beam is_____Nm (correct to one decimal place)

Question 7

A simply supported beam of span 4 m carries a concentrated load of 15 kN at the mid span. If the beam is designed for uniform strength of 240 MPa keeping width 6 mm constant throughout, then depth (in cm) at distance of 1 m from left support is _____.

Question 8

In the cantilever beam ABC as shown in figure, the segment AB has flexural rigidity EI and the segment BC has infinite flexural rigidity. The deflection and slope of the beam at C are respectively.

Question 9

A rectangular section 60 mm 120 mm is subjected to 8 kN-m bending moment. The percentage of bending moment resisted by shaded area is _______ .

Question 10

A column fixed at both ends has a rectangular cross-section of 10mm×20mm and a length of 1m. The slenderness ratio of the column is close to

Question 11

A bar of square cross-section (a × a) and another bar of circular cross-section (diameter = d) with the same length, are made of same material, and are subjected to same bending moment and have the same maximum bending stress developed. The ratio of weights of square bar and circular bar will be:

Question 12

The state of plane-stress at a point is given by σx = −200MPa, σy = 100MPa and τxy = 100MPa. the maximum shear stress in MPa is
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