Aerospace Engineering Gate Yearwise 


Aerospace Engineering Gate 2013 Questions with Answer

Ques 27 GATE 2013

The idealized cross-section of a beam is comprised of four identical booms connected by shear webs. The beam is subjected to a bending moment M as shown in the figure. The inclination of the neutral axis to the x-axis in degrees is

A

45 CW

B

45 CCW

C

26.6 CW

D

63.4 CCW


(c) is the correct answer.

Ques 28 GATE 2013

A composite circular shaft is comprised of a steel core surrounded by an aluminum annulus, perfectly bonded to each other as shown in the figure. If it subjected to a pure torque, which one of the following statements is TRUE?

A

Only shear stress is continuous across the steel-aluminum interface

B

Only shear strain is continuous across the steel-aluminum interface

C

Both shear stress and shear strain are continuous across the steel-aluminum interface

D

Both shear stress and shear strain are discontinuous across the steel-aluminum interface


(b) is the correct answer.

Ques 29 GATE 2013

A horizontal rectangular plate ABCD is hinged at points A, B and C. AC and BD are diagonals of the plate. Downward force P is applied at D. The upward reactions RA, RB, and RC at points A, B and C, respectively, are

A

indeterminate

B

P, -P, P

C

0, P, 0

D

P/3 P/3, P/3


(a) is the correct answer.

Ques 30 GATE 2013

In the steel structure (Young's modulus =200 GPa) shown in the figure, all members have a circular cross-section of radius 10 mm. Column BD is pinned at B and D. The support at A is hinged. The minimum value of load P at which the column BD may buckle in Newtons is approximately


(77000 to 78000) is the correct answer.

Ques 31 GATE 2013

The thin rectangular plate has dimensions L×b×t. It develops a stress field corresponding to an applied bending moment M as shown in the figure. A valid Airy's stress function is

A

(2M/(tb3))x3

B

(2M/(tb3))y3

C

(2M/(tb3))(x3+y3)

D

(2M/(tb3))y4


(b) is the correct answer.

Ques 32 GATE 2013

A cantilever beam of negligible mass is 0.6 m long. It has a rectangular cross-section of width 8 mm and thickness 6 mm and carries a tip mass of 1.4 kg. If the natural frequency of this system is 10 rad/s, Young's modulus of the material of the beam in GPa is


(10 to 12) is the correct answer.

Ques 33 GATE 2013

A simply supported beam with overhang is loaded by uniformly distributed load of intensity q as shown in the figure. The bending moment at the mid-point of AB is

A

qL2/16 sagging

B

qL2/16 hogging

C

3qL2/16 hogging

D

3qL2/16 -sagging


(b) is the correct answer.

Ques 34 GATE 2013

Following table gives data on tourists from different countries visiting India in the year 2011.

Which two countries contributed to the one third of the total number of tourists who visited India in 20112

A

USA and Japan

B

USA and Australia

C

England and France

D

Japan and Australia


(d) is the correct answer.

Ques 35 GATE 2013

The directional derivative of the function f(x,y)=(x2+xy2)/√5; in the direction a→=2î-4ĵ at (x,y)=(1,1) is

A

-1/√5

B

-2/√5

C

0

D

-1/5


(c) is the correct answer.

Ques 36 GATE 2013

The value of ∫45(x+2)/(x2+4x-21)dx is

A

ln√(24/11)

B

ln√(12/11)

C

ln√2

D

ln(12/11)


(a) is the correct answer.

Ques 37 GATE 2013

At x=0, the function y=|x| is

A

continuous but not differentiable

B

continuous and differentiable

C

not continuous but differentiable

D

not continuous and not differentiable


(a) is the correct answer.

Ques 38 GATE 2013

One of the eigenvectors of the matrix

The corresponding eigenvalue is


(0 to 0) is the correct answer.

Ques 39 GATE 2013

Let I=∫∫S(y2zî+z2xĵ+x2yk̂)·(xî+yĵ+zk̂)dS where S denotes the surface of the sphere of unit radius centered at the origin. Here î,ĵ and k̂ denote three orthogonal unit vectors. The value of I is


(0 to 0) is the correct answer.

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