Aerospace Engineering Gate Yearwise 


Aerospace Engineering Gate 2016 Questions with Answer

Ques 27 GATE 2016

Determine the correctness or otherwise of the following statements, [a] and [r],

[a]: Ribs, used in airplane wings, increase the column buckling strength of the longitudinal stiffeners.
[r]: Ribs distribute concentrated loads into the structure and redistribute stresses around discontinuities.

A

Both [a] and [r] are true and [r] is the correct reason for [a]

B

Both [a] and [r] are true but [r] is not the correct reason for [a]

C

Both [a] and [r] are false

D

[a] is true but [r] is false


(b) is the correct answer.

Ques 28 GATE 2016

A channel section shown in the figure has uniform thickness. It is subjected to an anticlockwise torque of 62.5×103 Nmm. The maximum possible thickness of the channel section, such that the shear stress induced in it does not exceed 100 N/mm2, is _______ mm.


(2.4:2.6) is the correct answer.

Ques 29 GATE 2016

The two dimensional state of stress in a body is described by the Airy's stress function:

φ=5x4/12+x3y/6+3x2y2/2+7xy3/6+Ey4/12

The Airy's stress function will satisfy the equilibrium and the compatibility requirements if and only if the value of the coefficient E is _______


(-11.0:-11.0) is the correct answer.

Ques 30 GATE 2016

The total number of material constants that are necessary and sufficient to describe the three dimensional Hooke's law for an isotropic material is


(2.0: 2.0) is the correct answer.

Ques 31 GATE 2016

Determine the correctness or otherwise of the following statements, [a] and [r]:

[a]: In a plane stress problem, the shear strains along the thickness direction of a body are zero but the normal strain along the thickness is not zero.
[r]: In a plane stress problem, Poisson effect induces the normal strain along the thickness direction of the body.

A

Both [a] and [r] are true and [r] is the correct reason for [a].

B

Both [a] and [r] are true but [r] is not the correct reason for [a].

C

Both [a] and [r] are false.

D

[a] is true but [r] is false.


(a) is the correct answer.

Ques 32 GATE 2016

Consider four thin-walled beams of different open cross-sections, as shown in the cases (i-iv). A shear force of magnitude 'F' acts vertically downward at the location 'P' in all the beams. In which of the following case, does the shear force induce bending and twisting?

A

(i)

B

(ii)

C

(iii)

D

(iv)


(b) is the correct answer.

Ques 33 GATE 2016

The effective stiffness of the spring-mass system as shown in the figure below is _______ N/mm


(5.0: 5.0) is the correct answer.

Ques 34 GATE 2016

A structural member supports loads, which produce at a particular point, a state of pure shear stress of 50 N/mm2 At what angles are the principal planes oriented with respect to the plane of pure shear?

A

π/6 and 2π/3

B

π/4 and 3π/4

C

π/4 and π/2

D

π/2 and π


(b) is the correct answer.

Ques 35 GATE 2016

The following graph represents the installed capacity for cement production (in tonnes) and the actual production (in tonnes) of nine cement plants of a cement company. Capacity utilization of a plant is defined as ratio of actual production of cement to installed capacity. A plant with installed capacity of at least 200 tonnes is called a large plant and a plant with lesser capacity is called a small plant. The difference between total production of large plants and small plants, in tonnes is


(120.0: 120.0) is the correct answer.

Ques 36 GATE 2016

Consider a second order linear ordinary differential equation, with the d2y/dx2-4dy/dx+4y=0 boundary conditions y(0)=1;dy/dx|x=0=1
The value of of y y at x=1 is

A

0

B

1

C

e

D

e2


(a) is the correct answer.

Ques 37 GATE 2016

Consider the following system of linear equations:

2x-y+z=1
3x-3y+4z=6
x-2y+3z=4

This system of linear equations has

A

no solution.

B

one solution.

C

two solutions.

D

three solutions.


(a) is the correct answer.

Ques 38 GATE 2016

The value of definite integral ∫0π(x sin x)dx is _______


(3.13: 3.15) is the correct answer.

Ques 39 GATE 2016

Use Newton-Raphson method to solve the equation: x ex=1 Begin with the initial guess x0=0.5. The solution after one step is x= _______


(0.56:0.58) is the correct answer.

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