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Recent questions and answers in Solid Mechanics
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GATE Civil 2021 Set 2  Question: 6
Strain hardening of structural steel means experiencing higher stress than yield stress with increased deformation strengthening steel member externally for reducing strain experienced strain occurring before plastic flow of steel material decrease in the stress experienced with increasing strain
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Mar 1
in
Solid Mechanics
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jothee
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gatecivil2021set2
simplestressandstrainrelationship
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2
GATE Civil 2021 Set 2  Question: 19
A solid circular torsional member $\text{OPQ}$ is subjected to torsional moments as shown in the figure (not to scale). The yield shear strength of the constituent material is $\text{160 MPa}$. The absolute maximum shear stress in the member (in $\text{MPa}$, $\textit{round off to one decimal place}$) is __________________________
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Mar 1
in
Solid Mechanics
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jothee
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5.2k
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gatecivil2021set2
numericalanswers
torsion
shearstress
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3
GATE Civil 2021 Set 2  Question: 29
A frame $\text{EFG}$ is shown in the figure. All members are prismatic and have equal flexural rigidity. The member $\text{FG}$ carries a uniformly distributed load $\text{w}$ per unit length. Axial deformation of any member is neglected. Considering the joint $\text{F}$ being ... $\text{0.375 wL}$ $\text{0.453 wL}$ $\text{0.482 wL}$ $\text{0.500 wL}$
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Mar 1
in
Solid Mechanics
by
jothee
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5.2k
points)
gatecivil2021set2
flexuralandshearstress
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0
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4
GATE Civil 2021 Set 2  Question: 37
An elevated cylindrical water storage tank is shown in the figure. The tank has inner diameter of $\text{1.5 m}$. It is supported on a solid steel circular column of diameter $\text{75 mm}$ and total height $\text{(L)}$ of $\text{4m}$ ... $\text{(h)}$ of the water permissible (in $\text{m}$, $\textit{round off to one decimal place}$) is ________________________
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Mar 1
in
Solid Mechanics
by
jothee
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5.2k
points)
gatecivil2021set2
numericalanswers
bucklingofcolumn
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0
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5
GATE Civil 2021 Set 1  Question: 4
A propped cantilever beam $\text{EF}$ is subjected to a unit moving load as shown in the figure (not to scale). The sign convention for positive shear force at the left and right sides of any section is also shown. The $\text{CORRECT}$ qualitative nature of the influence line diagram for shear force at $\text{G}$ is
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Feb 20
in
Solid Mechanics
by
Arjun
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8.7k
points)
gatecivil2021set1
shearforce
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0
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6
GATE Civil 2021 Set 1  Question: 20
The state of stress in a deformable body is shown in the figure. Consider transformation of the stress from the $\text{xy}$ coordinate system to the $\text{XY}$ coordinate system. The angle $\theta$, locating the $\text{X}$axis, is ... $\text{MPa}, \textit{round off to one decimal place}$) in $\text{xy}$ coordinate system is ______________________
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Feb 20
in
Solid Mechanics
by
Arjun
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8.7k
points)
gatecivil2021set1
numericalanswers
transformationofstress
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0
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7
GATE Civil 2021 Set 1  Question: 38
Refer the truss as shown in the figure (not to scale). If load, $F=10\sqrt{3}\text{ kN}$, moment of inertia, $I=8.33\times 10^{6}\text{ mm}^4$, area of crosssection, $A=10^{4}\text{ mm}^2$, and length, $L=2\text{ m}$ ... members of the truss, the compressive stress (in $\text{kN/m}^2, \textit{in integer}$) carried by the member $\text{QR}$ is _______________
asked
Feb 20
in
Solid Mechanics
by
Arjun
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8.7k
points)
gatecivil2021set1
numericalanswers
simplestressandstrainrelationship
0
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0
answers
8
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 _______.
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Feb 28, 2020
in
Solid Mechanics
by
jothee
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5.2k
points)
gate2020ce1
bendingmoment
numericalanswers
planarelasticstructure
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0
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9
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, 2020
in
Solid Mechanics
by
jothee
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5.2k
points)
gate2020ce1
flexuralandshearstress
flexuralrigidity
0
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0
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10
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 ______.
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Feb 28, 2020
in
Solid Mechanics
by
jothee
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5.2k
points)
gate2020ce1
numericalanswers
flexuralandshearstress
0
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0
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11
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, 2020
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Solid Mechanics
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jothee
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5.2k
points)
gate2020ce2
young'smodulus
solidmechanics
structuralengineering
0
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0
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12
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 $\dfrac{PL^3}{12EI}$ $\dfrac{PL^2}{12EI}$ $\dfrac{PL^2}{6EI}$ $\dfrac{PL}{6EI}$
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Feb 13, 2020
in
Solid Mechanics
by
jothee
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5.2k
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gate2020ce2
solidmechanics
structuralengineering
simplebendingtheory
flexuralrigidity
0
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0
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13
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
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gatecse
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4k
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gate2017ce2
solidmechanics
structuralengineering
shearstrain
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0
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14
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
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gatecse
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4k
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gate2017ce2
numericalanswers
solidmechanics
structuralengineering
shearstress
+1
vote
0
answers
15
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
(
8.7k
points)
gate2019ce1
solidmechanics
structuralengineering
stressandstrainrelationship
0
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0
answers
16
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
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Feb 14, 2019
in
Solid Mechanics
by
Arjun
(
8.7k
points)
gate2019ce1
solidmechanics
structuralengineering
bucklingofcolumn
0
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0
answers
17
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 $60 \: N$ $120 \: N$ $240 \: N$ $480 \: N$
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Feb 14, 2019
in
Solid Mechanics
by
Arjun
(
8.7k
points)
gate2019ce1
solidmechanics
structuralengineering
shearforce
+1
vote
0
answers
18
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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8.7k
points)
gate2019ce2
solidmechanics
shearstress
structuralengineering
torsion
0
votes
0
answers
19
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
(
8.7k
points)
gate2019ce2
solidmechanics
structuralengineering
shearstress
0
votes
0
answers
20
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? $13.3$ $26.6$ $31.7$ $48.3$
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Feb 12, 2019
in
Solid Mechanics
by
Arjun
(
8.7k
points)
gate2019ce2
solidmechanics
shearstress
structuralengineering
0
votes
0
answers
21
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 _________
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Feb 12, 2019
in
Solid Mechanics
by
Arjun
(
8.7k
points)
gate2019ce2
numericalanswers
solidmechanics
structuralengineering
shearforce
0
votes
0
answers
22
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
(
8.7k
points)
gate2019ce2
numericalanswers
solidmechanics
structuralengineering
stressandstrainrelationship
0
votes
0
answers
23
GATE2017 CE1: 5
A simply supported beam is subjected to a uniformly distributed load. Which one of the following statements is true? Maximum or minimum shear force occurs where the curvature is zero Maximum or minimum bending moment occurs where the shear force is ... minimum bending moment occurs where the curvature is zero Maximum bending moment and maximum shear force occur at the same section
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Mar 26, 2018
in
Solid Mechanics
by
Milicevic3306
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11.9k
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gate2017ce1
structuralengineering
beams
solidmechanics
simplestressandstrainrelationship
0
votes
0
answers
24
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 ________.
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Mar 26, 2018
in
Solid Mechanics
by
Milicevic3306
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11.9k
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gate2017ce1
numericalanswers
solidmechanics
structuralengineering
bendingmomentinbeam
0
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0
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25
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
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Mar 26, 2018
in
Solid Mechanics
by
Milicevic3306
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11.9k
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gate2015ce2
solidmechanics
structuralengineering
shearstress
0
votes
0
answers
26
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 $20^{\circ}$
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Mar 26, 2018
in
Solid Mechanics
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Milicevic3306
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11.9k
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gate2015ce2
solidmechanics
geotechnicalengineering
stresspaths
0
votes
0
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27
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
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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
28
GATE2015135
A tapered circular rod of diameter varying from $20$ mm to $10$ mm is connected to another uniform circular rod of diameter $10$ mm as shown in the following figure. Both bars are made of same material with the modulus of elasticity, $E=2 \times 10^5$ MPa. When subjected to a load $P=30 \pi$ kN, the deflection at point $A$ is ______ mm.
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Mar 26, 2018
in
Solid Mechanics
by
Milicevic3306
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gate2015ce1
numericalanswers
structuralengineering
solidmechanics
modulusofelasticity
0
votes
0
answers
29
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 ___________
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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
30
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
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gate2014ce2
solidmechanics
structuralengineering
bendingmomentandshearforce
0
votes
0
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31
GATE2014210
The flexural tensile strength of $M25$ grade of concrete, in $N/mm^2$, as per $IS:4562000$ is _______
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Mar 26, 2018
in
Solid Mechanics
by
Milicevic3306
(
11.9k
points)
gate2014ce2
numericalanswers
solidmechanics
structuralengineering
flexuraltensilestrength
0
votes
0
answers
32
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
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Mar 26, 2018
in
Solid Mechanics
by
Milicevic3306
(
11.9k
points)
gate2014ce2
solidmechanics
structuralengineering
bendingmomentin
beams
0
votes
0
answers
33
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. ... $P3; \: Q  1; \: R2$ $P3; \: Q  2; \: R1$
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Mar 26, 2018
in
Solid Mechanics
by
Milicevic3306
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11.9k
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gate2014ce2
solidmechanics
structuralengineering
stressandstrainrelationship
0
votes
0
answers
34
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
35
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
36
GATE201417
The possible location of shear centre of the channel section, shown below, is $P$ $Q$ $R$ $S$
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Mar 26, 2018
in
Solid Mechanics
by
Milicevic3306
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11.9k
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gate2014ce1
structuralengineering
solidmechanics
shearcentre
channelsecction
0
votes
0
answers
37
GATE Civil 2013  Question: 26
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
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11.9k
points)
gate2013ce
solidmechanics
structuralengineering
shearstress
matrixofstresses
0
votes
0
answers
38
GATE Civil 2013  Question: 8
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
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Mar 26, 2018
in
Solid Mechanics
by
Milicevic3306
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11.9k
points)
gate2013ce
solidmechanics
structuralengineering
bendingtheory
stressandstrainrelationship
0
votes
0
answers
39
GATE Civil 2013  Question: 9
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
GATE Civil 2013  Question: 6
The creep strains are caused due to dead loads only caused due to live loads only caused due to cyclic loads only independent of loads
asked
Mar 26, 2018
in
Solid Mechanics
by
Milicevic3306
(
11.9k
points)
gate2013ce
solidmechanics
structuralengineering
creepstrains
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