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Recent questions and answers in Solid Mechanics
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1
GATE2020CE119
A planar elastic structure is subjected to uniformly distributed load, as shown in the figure (not drawn to the scale) Neglecting selfweight, the maximum bending moment generated in the structure (in $kN.m$, round off to the nearest integer), is _______.
asked
Feb 28
in
Solid Mechanics
by
jothee
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2.7k
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gate2020ce1
solidmechanics
structuralengineering
bendingmoment
numericalanswers
0
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0
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2
GATE2020CE130
A cantilever beam $\textbf{PQ}$ of uniform flexural rigidity (EI) is subjected to a concentrated moment M at $\textbf{R}$ as shown in the figure The deflection at the free end $\textbf{Q}$ is $\large\frac{ML^2}{6EI} \\$ $\large\frac{ML^2}{4EI} \\$ $\large\frac{3ML^2}{8EI} \\$ $\large\frac{3ML^2}{4EI} $
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Feb 28
in
Solid Mechanics
by
jothee
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2.7k
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gate2020ce1
solidmechanics
structuralengineering
0
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0
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3
GATE2020CE142
The flange and web plates of the doubly symmetric builtup section are connected by continuous $10\:mm$ thick fillet welds as shown in figure (not drawn to the scale). The moment of inertia of the section about its principal axis $XX$ ... welds. The maximum shear force (in $kN$ , round off to one decimal place ) that can be carried by the section, is ______.
asked
Feb 28
in
Solid Mechanics
by
jothee
(
2.7k
points)
gate2020ce1
solidmechanics
structuralengineering
shearforce
numericalanswers
0
votes
0
answers
4
GATE2020 CE228
A prismatic linearly elastic bar of length $L$, crosssectional area $A$, and made up of a material with Young's modulus $E$, is subjected to axial tensile force as shown in the figures. When the bar is subjected to axial tensile forces $P_1$ and $P_2$, the strain energies stored ... the correct relationship is $U = U_1 + U_2$ $U = U_1  U_2$ $U < U_1 + U_2$ $U > U_1 + U_2$
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Feb 13
in
Solid Mechanics
by
jothee
(
2.7k
points)
gate2020ce2
young'smodulus
solidmechanics
structuralengineering
0
votes
0
answers
5
GATE2020 CE229
The planar structure $RST$ shown in the figure is rollersupported at $S$ and pinsupported at $R.$ Members $RS$ and $ST$ have uniform flexural rigidity $(EI)$ and $S$ is a rigid joint. Consider only bending deformation and neglect effects of selfweight and axial stiffening. When the ... $R,$ is $\dfrac{PL^3}{12EI}$ $\dfrac{PL^2}{12EI}$ $\dfrac{PL^2}{6EI}$ $\dfrac{PL}{6EI}$
asked
Feb 13
in
Solid Mechanics
by
jothee
(
2.7k
points)
gate2020ce2
solidmechanics
structuralengineering
simplebendingtheory
flexuralrigidity
0
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0
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6
GATE2017 CE216
In a material under a state of plane strain, a $10 \times 10$ mm square centered at a point gets deformed as shown in the figure. If the shear strain $\gamma_{xy}$ at this point is expressed as $0.001k$ (in rad), the value of $k$ is $0.50$ $0.25$ $ 0.25$ $ 0.50$
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Aug 7, 2019
in
Solid Mechanics
by
gatecse
(
3.9k
points)
gate2017ce2
solidmechanics
structuralengineering
shearstrain
0
votes
0
answers
7
GATE2017 CE231
Two prismatic beams having the same flexural rigidity of $1000 \: kNm^2$ are shown in the figures. If the midspan deflections of these beams are denoted by $\delta_1$ and $\delta_2$ (as indicated in the figures), the correct option is $\delta_1 = \delta_2$ $\delta_1 < \delta_2$ $\delta_1 > \delta_2$ $\delta_1 >> \delta_2$
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Aug 7, 2019
in
Solid Mechanics
by
gatecse
(
3.9k
points)
gate2017ce2
solidmechanics
engineeringmechanics
structuralengineering
flexuralrigidity
0
votes
0
answers
8
GATE2017 CE232
Consider the prismatic beams with the clamped supports P, Q, and R as shown in the figures. Given that eh modulus of elasticity, $E$ is $2.5 \times 10^4$ MPa; and the moment of inertia, $I$ is $8 \times 10^8 \: mm^4$, the correct comparison of the magnitudes of the ... $M_P = M_Q>M_R$ $S_P < S_Q> S_R$; $M_P = M_Q=M_R$ $S_P < S_Q< S_R$; $M_P < M_Q < M_R$
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Aug 7, 2019
in
Solid Mechanics
by
gatecse
(
3.9k
points)
gate2017ce2
solidmechanics
structuralengineering
bendingmomentinbeams
0
votes
0
answers
9
GATE2017 CE238
Two towers, A and B, standing vertically on a horizontal ground, appear in a vertical aerial photograph as shown in the figure. The length of the image of the tower A on the photograph is $1.5$ cm and the tower B is $2.0$ cm. The distance of the top tower A ( ... point $p$ of the photograph. If the height of the tower B is $80$ m, the height (in meters) of the tower A is ________
asked
Aug 7, 2019
in
Solid Mechanics
by
gatecse
(
3.9k
points)
gate2017ce2
numericalanswers
solidmechanics
structuralengineering
0
votes
0
answers
10
GATE2017 CE239
A hallow circular shaft has an outer diameter of $100 $ mm and inner diameter of $50 $ mm. If the allowable shear stress is $125$ MPa, the maximum torque (in kNm) that the shaft can resist is _______
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Aug 7, 2019
in
Solid Mechanics
by
gatecse
(
3.9k
points)
gate2017ce2
numericalanswers
solidmechanics
structuralengineering
shearstress
+1
vote
0
answers
11
GATE2019 CE1: 6
An element is subjected to biaxial normal tensile strains of $0.0030$ and $0.0020$. The normal strain in the plane of maximum shear strain is Zero $0.0010$ $0.0025$ $0.0050$
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Feb 14, 2019
in
Solid Mechanics
by
Arjun
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2.8k
points)
gate2019ce1
solidmechanics
structuralengineering
stressandstrainrelationship
0
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0
answers
12
GATE2019 CE1: 8
Assuming that there is no possibility of shear buckling in the web, the maximum reduction permitted by $\text{IS 8002007}$ in the (lowshear) design bending strength of a semicompact steel section due to high shear is zero $\text{25 %}$ $\text{50 %}$ governed bye the area of the flange
asked
Feb 14, 2019
in
Solid Mechanics
by
Arjun
(
2.8k
points)
gate2019ce1
solidmechanics
structuralengineering
0
votes
0
answers
13
GATE2019 CE1: 31
The crosssection of a builtup wooden beam as shown in the figure (not drawn to scale) is subjected to a vertical shear force of $8 \: kN$. The beam is symmetrical about the neural axis (N.A.) shown, and the moment of inertia about N.A. is $1.5 \times 10^9 \: mm^4$. ... , each of the nails at P will be subjected to the shear force of $60 \: N$ $120 \: N$ $240 \: N$ $480 \: N$
asked
Feb 14, 2019
in
Solid Mechanics
by
Arjun
(
2.8k
points)
gate2019ce1
solidmechanics
structuralengineering
shearforce
+1
vote
0
answers
14
GATE2019 CE2: 5
A closed thinwalled tube has thickness, $t$, mean enclosed area within the boundary of the centerline of tube’s thickness, $A_m$, and shear stress, $\tau$. Torsional moment of resistance, $T$, of the section would be $0.5 \tau A_m t$ $\tau A_m t$ $2 \tau A_m t$ $4 \tau A_m t$
asked
Feb 12, 2019
in
Solid Mechanics
by
Arjun
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2.8k
points)
gate2019ce2
solidmechanics
shearstress
structuralengineering
0
votes
0
answers
15
GATE2019 CE2: 8
For a channel section subjected to a downward vertical shear force at its centroid, which one of the following represents the correct distribution of shear stress in flange and web?
asked
Feb 12, 2019
in
Solid Mechanics
by
Arjun
(
2.8k
points)
gate2019ce2
solidmechanics
structuralengineering
shearstress
0
votes
0
answers
16
GATE2019 CE2: 29
For a plane stress problem, the state of stress at a point P is represented by the stress element as shown in figure. By how much angle $( \theta)$ in degrees the stress element should be rotated in order to get the planes of maximum shear stress? $13.3$ $26.6$ $31.7$ $48.3$
asked
Feb 12, 2019
in
Solid Mechanics
by
Arjun
(
2.8k
points)
gate2019ce2
solidmechanics
shearstress
structuralengineering
0
votes
0
answers
17
GATE2019 CE2: 36
A long uniformly distributed load of $10 \: kN/m$ and a concentrated load of $60 \: kN$ are moving together on the beam ABCD shown in the figure (not drawn to scale). The relative positions of the two loads are not fixed. The maximum shear force (in $kN$, round off to the nearest integer) caused at the internal hinge B due to the two loads is _________
asked
Feb 12, 2019
in
Solid Mechanics
by
Arjun
(
2.8k
points)
gate2019ce2
numericalanswers
solidmechanics
structuralengineering
shearforce
0
votes
0
answers
18
GATE2019 CE2: 39
When a specimen of $M25$ concrete is loaded to a stress level of $12.5 \: MPa$, a strain of $500 \times 10^{6}$ is recorded. If this load is allowed to stand for a long time, the strain increases to $1000 \times 10^{6}$. In ... with the provisions of $IS:4562000$, considering the longterm effects, the effective modulus of elasticity of the concrete (in $MPa$) is _________
asked
Feb 12, 2019
in
Solid Mechanics
by
Arjun
(
2.8k
points)
gate2019ce2
numericalanswers
solidmechanics
structuralengineering
stressandstrainrelationship
0
votes
0
answers
19
GATE2016216
Group I contains the types of fluids while group II contains the shear stress  rate of shear relationship of different types of fluids, as shown in the figure. ... $P2, Q5, R4, S1$ $P2, Q4, R5, S3$ $P2, Q1, R3, S4$
asked
Mar 28, 2018
in
Solid Mechanics
by
Milicevic3306
(
11.9k
points)
gate2016ce2
solidmechanics
structuralengineering
shearstress
0
votes
0
answers
20
GATE2016233
The portal frame shown in the figure is subjected to a uniformly distributed vertical load $w$ (per unit length). The bending moment in the beam at the joint ‘Q’ is zero $\dfrac{wL^2}{24}$ (hogging) $\dfrac{wL^2}{12}$ (hogging) $\dfrac{wL^2}{8}$ (sagging)
asked
Mar 28, 2018
in
Solid Mechanics
by
Milicevic3306
(
11.9k
points)
gate2016ce2
bendingmomentinbeam
solidmechanics
structuralengineering
0
votes
0
answers
21
GATE2016235
A haunched (varying depth) reinforced concrete beam is simply supported at both ends, as shown in the figure. The beam is subjected to a uniformly distributed factored load of intensity $10 \: kN/m$. The design shear force (expressed in $kN$) at the section XX of the beam is ________
asked
Mar 28, 2018
in
Solid Mechanics
by
Milicevic3306
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11.9k
points)
gate2016ce2
numericalanswers
solidmechanics
structuralengineering
shearforce
0
votes
0
answers
22
GATE2017 CE1: 7
The figure shows a twohinged parabolic arch of span $L$ subjected to a uniformly distributed load of intensity $q$ per unit length. The maximum bending moment in the arch is equal to $\dfrac{qL^2}{8} \\$ $\dfrac{qL^2}{12} \\$ zero $\dfrac{qL^2}{10}$
asked
Mar 26, 2018
in
Solid Mechanics
by
Milicevic3306
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11.9k
points)
gate2017ce1
solidmechanics
structuralengineering
bendingmoment
0
votes
0
answers
23
GATE2017 CE1: 41
Consider the beam ABCD shown in the figure. For a moving concentrated load of $50$ kN on the beam, the magnitude of the maximum bending moment (in kNm) obtained at the support C will be equal to ________.
asked
Mar 26, 2018
in
Solid Mechanics
by
Milicevic3306
(
11.9k
points)
gate2017ce1
numericalanswers
solidmechanics
structuralengineering
bendingmomentinbeam
0
votes
0
answers
24
GATE201527
For the plane stress situation shown in the figure, the maximum shear stress and the plane on which it acts are: $50$ MPa, on a plane $45^{\circ}$ clockwise w.r.t. $x$axis $50$ MPa, on a plane $45^{\circ}$ anticlockwise w.r.t. $x$axis $50$ MPa at all orientations Zero, at all orientations
asked
Mar 26, 2018
in
Solid Mechanics
by
Milicevic3306
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11.9k
points)
gate2015ce2
solidmechanics
structuralengineering
shearstress
0
votes
0
answers
25
GATE2015240
Stress path equation for triaxial test upon application of deviatoric stress is, $q=10 \sqrt{3}+0.5p$. The respective values of cohesion, $c$ (in kPa) and angle of internal friction, $\phi$ are: $20$ and $20^{\circ}$ $20$ and $30^{\circ}$ $30$ and $30^{\circ}$ $30$ and $20^{\circ}$
asked
Mar 26, 2018
in
Solid Mechanics
by
Milicevic3306
(
11.9k
points)
gate2015ce2
solidmechanics
geotechnicalengineering
stresspaths
0
votes
0
answers
26
GATE201516
Consider the singly reinforced beam shown in the figure below: At crosssection $XX$, which of the following statements is TRUE at the limit state? The variation of stress is linear and that of strain is nonlinear The variation of strain is linear and that of stress is nonlinear The variation of both stress and strain is linear The variation of both stress and strain is non  linear
asked
Mar 26, 2018
in
Solid Mechanics
by
Milicevic3306
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11.9k
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gate2015ce1
solidmechanics
structuralengineering
reinforcedbeam
stressandstarin
0
votes
0
answers
27
GATE2014246
A suspension of sand like particles in water with particles of diameter $0.10$ mm and below is flowing into a settling tank at $0.10 \: m^3/s$. Assume $g=9.81 \: m/s^2$, specific gravity of particles $=2.65$ ... are (in $m^2$) required for this settling tank to remove particles of size $0.06$ mm and above with $100 \%$ efficiency is ___________
asked
Mar 26, 2018
in
Solid Mechanics
by
Milicevic3306
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11.9k
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gate2014ce2
numericalanswers
solidmechanics
geotechnicalengineering
characteristicsofsand
0
votes
0
answers
28
GATE2014230
The values of axial stress $(\sigma)$ in $kN/m^2$, bending moment $(M)$ in kNm, and shear force $(V)$ in kN acting at point P fr the arrangement shown in the figure are respectively. $1000, 75$ and $25$ $1250, 150$ and $50$ $1500, 225$ and $75$ $1750, 300$ and $100$
asked
Mar 26, 2018
in
Solid Mechanics
by
Milicevic3306
(
11.9k
points)
gate2014ce2
solidmechanics
structuralengineering
bendingmomentandshearforce
0
votes
0
answers
29
GATE2014210
The flexural tensile strength of $M25$ grade of concrete, in $N/mm^2$, as per $IS:4562000$ is _______
asked
Mar 26, 2018
in
Solid Mechanics
by
Milicevic3306
(
11.9k
points)
gate2014ce2
numericalanswers
solidmechanics
structuralengineering
flexuraltensilestrength
0
votes
0
answers
30
GATE201427
The first moment of area about the axis of bending for a beam crosssection is moment inertia section modulus shape factor polar moment of inertia
asked
Mar 26, 2018
in
Solid Mechanics
by
Milicevic3306
(
11.9k
points)
gate2014ce2
solidmechanics
structuralengineering
bendingmomentin
beams
0
votes
0
answers
31
GATE201426
Group I contains representative stressstrain curves as shown in the figure, while Group II gives the list of materials. Match the stressstrain curves with the corresponding materials. ... $P3; \: Q  1; \: R2$ $P3; \: Q  2; \: R1$
asked
Mar 26, 2018
in
Solid Mechanics
by
Milicevic3306
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11.9k
points)
gate2014ce2
solidmechanics
structuralengineering
stressandstrainrelationship
0
votes
0
answers
32
GATE2014134
The tension and shear force (both in kN) in each bolt of the joint, as shown below, respectively are $30.33$ and $20.00$ $30.33$ and $25.00$ $33.33$ and $20.00$ $33.33$ and $25.00$
asked
Mar 26, 2018
in
Solid Mechanics
by
Milicevic3306
(
11.9k
points)
gate2014ce1
solidmechanics
structuralengineering
tensionandshearforce
0
votes
0
answers
33
GATE2014133
A rectangular beam of width $(b)$ $230$ mm and effective depth $(d)$ $450$ mm is reinforced with four bars of $12$ mm diameter. The grade of concrete is $M20$ and grade of steel is $Fe500$. Given that for $M20$ ... diameter (in mm) of $Fe500$ steel two legged stirrups to be used at spacing of $375$ mm, should be $8$ $10$ $12$ $16$
asked
Mar 26, 2018
in
Solid Mechanics
by
Milicevic3306
(
11.9k
points)
gate2014ce1
solidmechanics
structuralengineering
shearstressandforce
0
votes
0
answers
34
GATE2014110
A steel section is subjected to a combination of shear and bending actions. The applied shear force is $V$ and the shear capacity of the section is $V_s$. For such a section, high shear force (as per $IS : 800 – 2007$) is defined as $V>0.6V_s$ $V>0.7V_s$ $V>0.8V_s$ $V>0.9V_s$
asked
Mar 26, 2018
in
Solid Mechanics
by
Milicevic3306
(
11.9k
points)
gate2014ce1
solidmechanics
structuralengineering
bendingmomentandshearforce
0
votes
0
answers
35
GATE201334
Beam $PQRS$ has internal hinges in spans $PQ$ and $RS$ as shown. The beam may be subjected to a moving distributed vertical load of maximum intensity $4 \:kN/m$ of any length anywhere on the beam. The maximum absolute value of the shear force (in $kN$) that can occur due to this loading just to the right of support $Q$ shall be $30$ $40$ $45$ $55$
asked
Mar 26, 2018
in
Solid Mechanics
by
Milicevic3306
(
11.9k
points)
gate2013ce
solidmechanics
shearforce
structuralengineering
0
votes
0
answers
36
GATE201331
All members in the rigidjointed frame shown are prismatic and have the same flexural stiffness $EI$. Find the magnitude of the bending moment at $Q$ (in kNm) due to given loading ________
asked
Mar 26, 2018
in
Solid Mechanics
by
Milicevic3306
(
11.9k
points)
gate2013ce
numericalanswers
solidmechanics
bendingmoment
0
votes
0
answers
37
GATE201326
The state of $2D$stress at a point is given by the following matrix of stresses: $\begin{bmatrix} \sigma_{xx} & \sigma_{xy} \\ \sigma_{xy} & \sigma_{yy} \end{bmatrix} = \begin{bmatrix} 100 & 30 \\ 30 & 20 \end{bmatrix} MPa$ What is the magnitude of the maximum shear stress in MPa $50$ $75$ $100$ $110$
asked
Mar 26, 2018
in
Solid Mechanics
by
Milicevic3306
(
11.9k
points)
gate2013ce
solidmechanics
structuralengineering
shearstress
matrixofstresses
0
votes
0
answers
38
GATE20138
The ‘plane section remains plane’ assumption in bending theory implies strain profile is linear stress profile is linear both strain and strain profiles are linear shear deformations are neglected
asked
Mar 26, 2018
in
Solid Mechanics
by
Milicevic3306
(
11.9k
points)
gate2013ce
solidmechanics
structuralengineering
bendingtheory
stressandstrainrelationship
0
votes
0
answers
39
GATE20139
Two steel columns P (length $L$ and yield strength $f_y=250$ MPa) and Q (length $2L$ and yield strength $f_y=500$ MPa) have the same crosssections and endconditions. The ratio of buckling load of column P to that of column Q is $0.5$ $1.0$ $2.0$ $4.0$
asked
Mar 26, 2018
in
Solid Mechanics
by
Milicevic3306
(
11.9k
points)
gate2013ce
solidmechanics
structuralengineering
bucklingofcolumn
0
votes
0
answers
40
GATE201311
A symmetric Isection (with width of each flange $=50$ mm, thickness of each flange $=10$ mm, depth of web $=100$ mm, and thickness of web $=10$ mm) of steel is subjected to a shear force of $100$ kN. Find the magnitude of the shear stress (in $N/mm^2$) in the web at its junction with the top flange _______
asked
Mar 26, 2018
in
Solid Mechanics
by
Milicevic3306
(
11.9k
points)
gate2013ce
numericalanswers
solidmechanics
structuralengineering
shearstress
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