Aerospace Engineering Gate Yearwise 


Aerospace Engineering Gate 2015 Questions with Answer

Ques 27 GATE 2015

The two non-zero principal stresses at a point in a thin plate are σ1=25MPa and σ2=-25MPa. The maximum shear stress (in MPa) at this point is


(24.99 to 25.01) is the correct answer.

Ques 28 GATE 2015

A 0.5 kg mass is suspended vertically from a point fixed on the Earth by a spring having a stiffness of 5 N/mm. The static displacement (in mm) of the mass is


(0.97 to 1.01) is the correct answer.

Ques 29 GATE 2015

A slender structure is subjected to four different loading cases (I, II, III and IV) as shown below (Figures not to scale). Which pair of cases results in identical stress distribution at section S-S located far away from both ends?

A

I and II

B

II and III

C

III and IV

D

IV and I


(b) is the correct answer.

Ques 30 GATE 2015

The 2-D stress state at a point P in the x-y coordinate system is The magnitude of the tangential stress (in MPa) on a surface normal to the x-axis at P is


(49.99 to 50.01) is the correct answer.

Ques 31 GATE 2015

A cube made of a linear elastic isotropic material is subjected to a uniform hydrostatic pressure of 100 N/mm2. Under this load, the volume of the cube shrinks by 0.05%. The Young's modulus of the material, E=300 GPa The Poisson's ratio of the material is


(0.24 to 0.26) is the correct answer.

Ques 32 GATE 2015

A massless cantilever beam PQ has a solid square cross section (10 mm×10 mm). This beam is subjected to a load W through a rigid massless link at the point Q, as shown below (figure not to scale). If the Young's modulus of the material E=200 GPa, the deflection (in mm) at point Q is


(5.45 to 5.60) is the correct answer.

Ques 33 GATE 2015

The thin rectangular tube shown below is made of a material with shear modulus, G=80 GPa. The shear flow is calculated based on the mid-thickness dimensions. If the free end is allowed to twist no more than 0.0727 rad, then the maximum torque (in Nm) which the tube can be subjected to at its free end is


(990 to 1020) is the correct answer.

Ques 34 GATE 2015

A 200 mm long simply-supported column has a 5 mm×10 mm rectangular cross section. The Young's modulus of the material, E=200 GPα Assuming a factor of safety of 2.5 corresponding to the buckling load, the maximum load (in N) the column can support in compression is


(2046 to 2075) is the correct answer.

Ques 35 GATE 2015

The partial differential equation ∂u/∂t+∂(u2/2)/∂x=0.is

A

linear and first order

B

linear and second order

C

non-linear and first order

D

non-linear and second order


(c) is the correct answer.

Ques 36 GATE 2015

The system of equations for the variables x and y
a x+b by y=e
c x+d y=f
has a unique solution only if

A

a d-b c≠0

B

a c-b d≠0

C

a+c≠ b+d

D

a-c≠ b-d


(a) is the correct answer.

Ques 37 GATE 2015

The function y=x3-x has

A

no inflection point

B

one inflection point

C

two inflection points

D

three inflection points


(b) is the correct answer.

Ques 38 GATE 2015

In the solution of d2y/dx2-2dy/dx+y=0 if the values of the integration constants are identical and one of the initial conditions is specified as y(0)=1, the other initial condition y'(0)=_______


(1.9 to 2.1) is the correct answer.

Ques 39 GATE 2015

For x>0, the general solution of the differential equation dy/dx=1-2y asymptotically approaches


(0.49 to 0.51) is the correct answer.

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