GATE AE 2023 Paper 1 — page 18

Questions 52–54 of 65. Imported answers require review unless explicitly marked reviewed.

The shear flow distribution in a single cell, thin-walled beam under the action of an arbitrary shear load

applied at the shear centre S is shown in the figure. The cell has horizontal symmetry with booms marked by 1 to 4 that carry direct stresses. The shear modulus G is the same for all the walls, and the area of the cell is 13000 mm

. With respect to the point O marked in the figure, the distance to the shear centre S is _____ mm. (round off to the nearest integer)

Diagram for Aerospace Engineering question 52

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Consider a thin-walled cylindrical pressure vessel made of an alloy with yield strength of 300 MPa. The vessel has end caps to contain the pressure. The ratio of radius of the vessel to its wall thickness is 100. As per the von Mises yield criterion, the internal pressure that would cause the failure of the vessel is _____ MPa. (round off to two decimal places)

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Consider the differential equation

with initial conditions

. The value of y at

is _____. (round off to two decimal places)

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2023 · Paper 1

Question 52

Question 53

Question 54