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1/2/2018 MADE EASY ONLINE TEST SERIES

(b)

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C FAQ Have any Doubt ?
34 MPa
D 32/46
36 MPa

QUESTION ANALYTICS

Q. 23
The diameter of kernel of a hollow circular section is

A

B

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1/2/2018 MADE EASY ONLINE TEST SERIES

C Correct Option

D

Solution :
(d)

QUESTION ANALYTICS

Q. 24 33/46

Shown below is a steel tube and steel rod assembly, fastened together. What will be the stress induced in

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1/2/2018 S o be o s a stMeeADtEuEbAeSaY OdNsLItNeEeTEoSdT SaEsRsIeES b y, aste ed toget e . at be t e st ess duced
steel tube when one nut is tightened by one quarter of a turn relative to other? There are 0.4 threads per

mm length. Take E = 200 GN/m2.

A FAQ Have any Doubt ?
48.5 MN/m2 (Compressive) Correct Option

Solution :
(a)

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B
48.5 MN/m2 (Tensile)

C
119 MN/m2 (Compressive)

D
119 MN/m2 (Tensile)

QUESTION ANALYTICS

Q. 25 35/46
At a certain point on a steel machine part, measurements with an electric rectangular rosette indicated that

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Assuming that E = 200 GPa and Poisson’s ratio = 0.3, find the principal strains (in μm/m) at the investigated
point.

FAQ Have any Doubt ?

A
400 and –600

Correct Option

Solution :
(a)

B 36/46
200 and –600

C
400 and –300

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D
200 and –300

QUESTION ANALYTICS

Q. 26

A copper flat measuring 60 mm × 30 mm is brazed to another 60 mm × 60 mm mild steel flat. Combination
is heated by 120°C. Then the value of shear force that tends to rupture the brazing is _________kN.

123.5(122 - 125) FAQ Have any Doubt ?
Correct Option
Solution :
123.5(122 - 125)

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QUESTION ANALYTICS

Q. 27
In the following loading condition, the position of point of contraflexure from end B is __________ m.

0.535(0.51 - 0.56) FAQ Have any Doubt ?
Correct Option
Solution :
38/46
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0.535(0.51 - 0.56)
Point of contraflexure is the position where bending moment changes sign. The point itself have zero
bending moment.

QUESTION ANALYTICS 39/46

Q. 28
A solid shaft is loaded as shown in figure. The maximum tensile stress will be _________ kPa.

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44.563(44.5 - 44.6) FAQ Have any Doubt ?
Solution : Correct Option
44.563(44.5 - 44.6)

Your Answer is 37.7

QUESTION ANALYTICS

Q. 29 40/46

A hollow shaft with outer diameter DH and inner diameter 60% of outer diameter is to replace a solid shaft
transmitting the same power at the same speed. If DS is solid shaft diameter then the ratio DS /DH will be

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1/2/2018 g MADpE EASY ONLINE TEST SpERIES S SH
__________.
FAQ Have any Doubt ?
0.955(0.94 - 0.97)
Correct Option
Solution :
0.955(0.94 - 0.97)

QUESTION ANALYTICS Your Answer is 1.1488

Q. 30 41/46

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A bar of length 4 m when used as a simply supported beam and subjected to a UDL of 30 kN/m over the
whole span, deflects 15 mm at the centre. The crippling load when it is used as a column with one end fixed
and other hinged will be _____________kN.

FAQ Have any Doubt ?

8224.6(8223 - 8225) Correct Option

Solution :
8224.6(8223 - 8225)

QUESTION ANALYTICS

Q. 31 42/46

An object of 100 N falls by gravity through a vertical distance of 5 m, then it is suddenly stopped by a collar
at the end of a vertical rod of length 10 m and diameter 20 mm. Top of the bar is fixed rigidly. Take Ebar =
200 GN/m2. Maximum stress in the bar due to impact is _______________MN/m2.

FAQ Have any Doubt ?

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1/2/2018 MADE EASY ONLINE TEST SERIES

252.6(250 - 254) Correct Option

Solution :
252.6(250 - 254)

QUESTION ANALYTICS

Q. 32

A weight of 200 N is dropped on to a helical spring of 15 mm diameter wire. Mean diameter of spring is 120 43/46
mm and number of coils in the spring is 20. The height of drop if instantaneous compression is 80 mm

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will be ___________ mm. (Take Gspring = 84 GN/m2) FAQ Have any Doubt ?
Correct Option
166(164 - 168)

Solution :
166(164 - 168)

QUESTION ANALYTICS 44/46

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Q. 33

A thin cylindrical shell of 1.2 m diameter is subjected to an internal pressure of 1.5 MN/m2. If material yields
at 200 MN/m2. Thickness of shell according to Von Mises Theory is ____________ mm.
Consider FOS = 3. Take cylinder closed at ends.

FAQ Have any Doubt ?

11.7(11.5 - 11.9) Correct Option

Solution :
11.7(11.5 - 11.9)

Your Answer is 23.38

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QUESTION ANALYTICS

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Saurabh Kamble Saurabh Kamble  Sign out

Course: GATE (Enroll User)
Mechanical Engineering (ME)
BASIC : STRENGTH OF MATERIALS - REPORTS
HOME
MY TEST OVERALL ANALYSIS COMPARISON REPORT SOLUTION REPORT
BOOKMARKS
MY PROFILE ALL(33) CORRECT(9) INCORRECT(6) SKIPPED(18)
REPORTS
BUY PACKAGE Q. 1
ASK AN EXPERT
A bar is loaded as shown in the figure. If A is cross-sectional area and E is modulus of elasticity, then the
total strain energy stored is

FAQ Have any Doubt ?
A

B

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C Correct Option

Solution :
(c)

D 2/42

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QUESTION ANALYTICS

Q. 2

The equation of Mohr circle is given by (σ – 4)2 + τ2 = 9, where σ is the normal stress and τ is the shear
stress. The maximum shear stress is

FAQ Have any Doubt ?

A
4 units

B
9 units

C Your answer is Correct
3 units

Solution :
(c)

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D
8 units

QUESTION ANALYTICS

Q. 3
The shear force diagram is shown below for a loaded beam

The number of contraflexural points will be, FAQ Have any Doubt ?
Your answer is Wrong
A
1 4/42

B
2

C
3

D
0

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2/4/2018 0 MADE EASY ONLINE TEST SERIES

Solution : Correct Option
(d)

QUESTION ANALYTICS FAQ Have any Doubt ?

Q. 4 5/42
The BM diagram for this arrangement is,

A

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Solution : Correct Option
(a)
B 6/42

C

D

QUESTION ANALYTICS

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Q. 5

A cantilever beam has a cross section of an isosceles triangle and is loaded as shown. If moment of inertia

is then the maximum tensile bending stress is

A FAQ Have any Doubt ?
16 MPa Your answer is Correct
B
7/42
C
36 MPa
Solution :
(c)

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D
72 MPa

QUESTION ANALYTICS

Q. 6

A circular bar of length L is fixed at end A and free at B. Torque T is acting at B and C as shown. Then the
strain energy stored in the bar will be

A FAQ Have any Doubt ?
B
C Correct Option

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Solution :
(c)

D

QUESTION ANALYTICS

Q. 7
For a power transmission shaft transmitting power P at N rpm, the diameter is proportional to

FAQ Have any Doubt ?
A

Correct Option

Solution :
(a)

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B
Your answer is Wrong

C

D

QUESTION ANALYTICS

Q. 8
A cantilever beam is loaded as shown here. Which one of the Mohr’s circle shown here represents the stress
element at point A?

FAQ Have any Doubt ?

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A

B

Correct Option
Solution :
(b)
Answer (b) is the correct answer. At A the bending moment causes a compressive normal stress and
the shear stress at A is zero according to shear stress distribution.

C

D 11/42

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QUESTION ANALYTICS

Q. 9
For the shear force diagram shown, the loaded beam will be

A FAQ Have any Doubt ?

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12/42

2/4/2018 MADE EASY ONLINE TEST SERIES

Solution :
(a)

B 13/42

C

D

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QUESTION ANALYTICS

Q. 10
The engineering stress strain curve of a material is shown in figure. The ratio of modulus of resilience to the
modulus of toughness is __________.

0.1228 (0.12 - 0.126) FAQ Have any Doubt ?
Solution : Correct Option
0.1228 (0.12 - 0.126)
14/42
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QUESTION ANALYTICS

Q. 11
A water jet of diameter 50 mm strikes a cantilever beam with a velocity of 100 m/s as shown in the figure.
The area of cross-section of the bar is 10 m2. The stress induced in the beam due to the impact will be
________ N/m2.

3926.99 (3910 - 3940) FAQ Have any Doubt ?
Solution : Correct Option
3926.99 (3910 - 3940)
15/42
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Your Answer is 2500

QUESTION ANALYTICS

Q. 12

A cantilever rod of length 2 m is fixed at end A and free at end B. If the shear force distribution over the rod
follows the curve 4 – x2, where x is the distance from fixed end in meters, the MB – MA will be _______Nm.
(where M is the bending moment)

FAQ Have any Doubt ?

5.33 (5.3 - 5.4) Your answer is Correct5.33

Solution :
5.33 (5.3 - 5.4)

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QUESTION ANALYTICS

Q. 13

A circular cross section is subjected to a shear force of 100 N. The area of cross section is 10 m2. The value
of maximum shear stress will be ___________ N/m2.

FAQ Have any Doubt ?

13.33 (13.3 - 13.4) Correct Option

Solution :
13.33 (13.3 - 13.4)

QUESTION ANALYTICS Your Answer is 10

Q. 14 h 17/42
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A cantilever beam fixed at one end is loaded as shown

The magnitude of moment at the fixed end will be _______________ Nm.

FAQ Have any Doubt ?

83.33 (83 - 84) Your answer is Correct83.33

Solution :
83.33 (83 - 84)

QUESTION ANALYTICS 18/42

Q. 15
The ratio of strain energy of 2 bars as shown in figure (U1/U2) is ________.

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2 FAQ Have any Doubt ?
Solution : Your answer is Correct2
2

QUESTION ANALYTICS 19/42

Q. 16
Assuming E = 160 GPa and G = 100 GPa for a material, a strain tensor is given as

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2000 FAQ Have any Doubt ?
Solution : Your answer is Correct2000
2000

QUESTION ANALYTICS

Q. 17
A rod of mass ‘m’ and length ‘L’ have a cross section area ‘A’. It is rotated in a horizontal plane, about one of
its end with a constant angular velocity ω, then the maximum stress produced in the rod will be

FAQ Have any Doubt ?

A

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B Correct Option

Solution :
(b)

C 21/42

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D

QUESTION ANALYTICS

Q. 18
A thin cylinder of diameter D and thickness ‘t’ is subjected to internal pressure P. If the Poisson’s ratio is μ,
then the ratio of longitudinal strain to volumetric strain is

FAQ Have any Doubt ?

A

B Correct Option

C 22/42

Solution :
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2/4/2018 MADE EASY ONLINE TEST SERIES

(c)

D

QUESTION ANALYTICS

Q. 19
A thin cylinder of radius r, thickness t is subjected to internal pressure P. If the Poisson’s ratio is negligible,
then the final radius of the deformed cylinder will be [E = Young’s modulus]

FAQ Have any Doubt ?

A

B 23/42

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Solution : Correct Option
(b)
24/42
C

D

QUESTION ANALYTICS

Q. 20
The vertical displacement at point A will be

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A FAQ Have any Doubt ?
B Correct Option
Solution :
(b)

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C
D

QUESTION ANALYTICS

Q. 21

A cantilever beam of length L, is loaded as shown in the figure. If the cross-section of beam is a square with
side ‘a’ and the permissible bending stress is σper, then the value of a is [Given wL = W]

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A FAQ Have any Doubt ?
B Correct Option

Solution :
(b)

C 27/42

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D

QUESTION ANALYTICS

Q. 22

A simply supported beam carries a uniformly distributed load of w kN/m. If the same equivalent load acts at

the centre of beam, then the ratio of deflection will be

FAQ Have any Doubt ?

A

B Correct Option

Solution :
(b)

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C
D

QUESTION ANALYTICS

Q. 23 29/42
A concentrated load P acts on a simply supported beam at a distance of L/3 from the left support. The
bending moment at the point of application will be

FAQ Have any Doubt ?

A

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2/4/2018 MADE EASY ONLINE TEST SERIES

B Correct Option

C

D

Solution :
(d)

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QUESTION ANALYTICS

Q. 24
A thin walled tube of outer radius R is subjected to pure torque T. If the length of the tube is L, the maximum
shear stress is τmax and the specific weight of material is γ, then the approximate expression for the
strength-weight ratio (T/ W) of such tube will be?

FAQ Have any Doubt ?

A

B Correct Option

Solution :
(b)

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C 32/42
D

QUESTION ANALYTICS

Q. 25

The maximum bending moment will be
(where W is the total load)

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(where, W is the total load) FAQ Have any Doubt ?
Correct Option
A
a

B
b

Solution :
(b)

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C Your answer is Wrong
c

D
d

QUESTION ANALYTICS

Q. 26

A block of mass 5 kg is attached to the top of an elevator with the help of rod 1 and rod 2 as shown in figure.
If the elevator is moving upward with an acceleration of 5 m/s2 and the cross-section area of both rods is 10
m2, then the stress produced in rod 1 is _________ Pa.

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