Aerospace Engineering GATE 2025 Questions with Answer

Ques 53 Structures

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A uniform symmetric cross-section cantilever beam of length L is subjected to a transverse force P at the free end, as shown in the figure. The Young's modulus of the material is E and the moment of inertia is I. Ignoring the contributions due to transverse shear, the strain energy stored in the beam is

A

P²L³/(6EI)

B

PL³/(3EI)

C

P²L³/(3EI)

D

PL³/(6EI)

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Ques 54 Structures

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In the given figure, plate ABCD in its undeformed configuration (solid line) is a rhombus with all the internal angles being 90°. The lengths of the undeformed diagonals are 20 cm. ABCD deforms as shown by the dotted lines. Upon deformation, diagonal AC reduces to 19.96 cm and BD increases to 20.04 cm. In the given x-y coordinate system, the engineering shear strain γ_xy is equal to

A

0

B

0.002

C

0.004

D

0.02

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