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Aerospace Engineering Gate 2010 Questions with Answer
Ques 53 GATE 2010
In a general case of a homogeneous material under thermo-mechanical loading the number of
distinct components of the state of stress is
Ques 54 GATE 2010
A vertical slender rod is suspended by a hinge at the top and hangs freely. It is heated until it attains
a uniform temperature, 7. Neglecting the effect of gravity, the rod has
Ques 55 GATE 2010
A thin rectangular plate made of isotropic material which satisfies the octahedral (i.e., Von Mises/
Distortion energy) failure criterion has yield strength of 200 MPa under uniaxial tension. As shown
in the figure, if it is loaded with uniform tension of 150 MPa along the x-direction, the maximum
uniform tensile stress that can be applied along the y-direction before the plate starts yielding is
about
Ques 56 GATE 2010
A column of length I and flexural rigidity El, has one end fixed and the other end hinged. The
critical buckling load for the column is
Ques 57 GATE 2010
A horizontal cantilevered steel beam of rectangular cross-section having width b and depth d is
vibrating in the vertical plane. The natural frequency of bending vibration is highest when
Ques 58 GATE 2010
Following stress state is proposed for a 2-D problem with no body forces: σxx=3x2y+4y2.
σyy=y3+14xy τxy=-3xy2-7x2 It satisfies
Ques 59 GATE 2010
The thin rectangular plate shown in the figure is loaded with uniform shear,
τ0 along all edges and
uniform uniaxial tension in the y-direction. The appropriate Airy's stress function to solve for
stresses is given by
Ques 60 GATE 2010
The given thin wall section of uniform thickness, s, is symmetric about x-axis. Moment of inertia is
given to be Ixx=3512th3.
Shear center for this section is located at
Ques 61 GATE 2010
Consider a simply supported beam of length L, carrying a bracket welded at its center.
The bracket carries a vertical load, P, as shown in the figure.
Dimensions of bracket are a = 0.1L.
The beam has a square cross section of dimension h × h.
Ques 62 GATE 2010
Consider a simply supported beam of length L, carrying a bracket welded at its center.
The bracket carries a vertical load, P, as shown in the figure.
Dimensions of bracket are a = 0.1L.
The beam has a square cross section of dimension h × h.
Ques 63 GATE 2010
A spacecraft of mass 100 kg. moving at an instantaneous speed of 1.8×104m/s, picks up
interstellar dust at the rate of 3.2×10-8kg/s. Assuming that the dust was initially at rest, the
instantaneous rate of retardation of the spacecraft is:
Ques 64 GATE 2010
A uniform cross-section rigid rod of mass m and length , is hinged at its upper end and suspended
like a pendulum. Its natural frequency for small oscillations is
Ques 65 GATE 2010
During an under-damped oscillation of a single degree of freedom system, in the time-displacement
plot the third peak is of magnitude 100 and the tenth peak is of magnitude 10. The damping ratio ζ
is approximately:
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