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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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Solid Mechanics
Mar 1, 2021
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gatecivil-2021-set2
simple-stress-and-strain-relationship
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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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Solid Mechanics
Mar 1, 2021
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go_editor
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gatecivil-2021-set2
numerical-answers
torsion
shear-stress
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0
answers
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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Solid Mechanics
Mar 1, 2021
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go_editor
5.3k
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gatecivil-2021-set2
flexural-and-shear-stress
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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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Solid Mechanics
Mar 1, 2021
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gatecivil-2021-set2
numerical-answers
buckling-of-column
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0
answers
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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Solid Mechanics
Feb 20, 2021
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Arjun
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gatecivil-2021-set1
shear-force
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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 $\text{x-y}$ coordinate system to the $\text{X-Y}$ coordinate system. The angle $\theta$, locating the $\text{X}$-axis, is ... $\text{MPa}, \textit{round off to one decimal place}$) in $\text{x-y}$ coordinate system is ______________________
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Solid Mechanics
Feb 20, 2021
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Arjun
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gatecivil-2021-set1
numerical-answers
transformation-of-stress
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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 cross-section, $A=10^{4}\text{ mm}^2$, 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 $\text{Q-R}$ is _______________
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Solid Mechanics
Feb 20, 2021
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Arjun
11.6k
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gatecivil-2021-set1
numerical-answers
simple-stress-and-strain-relationship
0
votes
0
answers
8
GATE2020-CE-1-19
A planar elastic structure is subjected to uniformly distributed load, as shown in the figure (not drawn to the scale) Neglecting self-weight, the maximum bending moment generated in the structure (in $kN.m$, round off to the nearest integer), is _______.
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Solid Mechanics
Feb 28, 2020
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go_editor
5.3k
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gate2020-ce-1
bending-moment
numerical-answers
planar-elastic-structure
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0
answers
9
GATE2020-CE-1-30
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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in
Solid Mechanics
Feb 28, 2020
by
go_editor
5.3k
points
gate2020-ce-1
flexural-and-shear-stress
flexural-rigidity
0
votes
0
answers
10
GATE2020-CE-1-42
The flange and web plates of the doubly symmetric built-up 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 $X-X$ ... 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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Solid Mechanics
Feb 28, 2020
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go_editor
5.3k
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gate2020-ce-1
numerical-answers
flexural-and-shear-stress
0
votes
0
answers
11
GATE2020 CE-2-28
A prismatic linearly elastic bar of length $L$, cross-sectional 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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Solid Mechanics
Feb 13, 2020
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5.3k
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gate2020-ce-2
young's-modulus
solid-mechanics
structural-engineering
0
votes
0
answers
12
GATE2020 CE-2-29
The planar structure $RST$ shown in the figure is roller-supported at $S$ and pin-supported 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 self-weight 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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Solid Mechanics
Feb 13, 2020
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5.3k
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gate2020-ce-2
solid-mechanics
structural-engineering
simple-bending-theory
flexural-rigidity
0
votes
0
answers
13
GATE2017 CE-2-16
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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Solid Mechanics
Aug 7, 2019
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gatecse
4.0k
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gate2017-ce-2
solid-mechanics
structural-engineering
shear-strain
0
votes
0
answers
14
GATE2017 CE-2-39
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 kN-m) that the shaft can resist is _______
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Solid Mechanics
Aug 7, 2019
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gatecse
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gate2017-ce-2
numerical-answers
solid-mechanics
structural-engineering
shear-stress
1
vote
0
answers
15
GATE2019 CE-1: 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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Solid Mechanics
Feb 14, 2019
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Arjun
11.6k
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gate2019-ce-1
solid-mechanics
structural-engineering
stress-and-strain-relationship
0
votes
0
answers
16
GATE2019 CE-1: 8
Assuming that there is no possibility of shear buckling in the web, the maximum reduction permitted by $\text{IS 800-2007}$ in the (low-shear) design bending strength of a semi-compact steel section due to high shear is zero $\text{25 %}$ $\text{50 %}$ governed bye the area of the flange
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Solid Mechanics
Feb 14, 2019
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Arjun
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gate2019-ce-1
solid-mechanics
structural-engineering
buckling-of-column
0
votes
0
answers
17
GATE2019 CE-1: 31
The cross-section of a built-up 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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Solid Mechanics
Feb 14, 2019
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Arjun
11.6k
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gate2019-ce-1
solid-mechanics
structural-engineering
shear-force
1
vote
0
answers
18
GATE2019 CE-2: 5
A closed thin-walled 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 $0.5 \tau A_m t$ $\tau A_m t$ $2 \tau A_m t$ $4 \tau A_m t$
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Solid Mechanics
Feb 12, 2019
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Arjun
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gate2019-ce-2
solid-mechanics
shear-stress
structural-engineering
torsion
0
votes
0
answers
19
GATE2019 CE-2: 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?
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in
Solid Mechanics
Feb 12, 2019
by
Arjun
11.6k
points
gate2019-ce-2
solid-mechanics
structural-engineering
shear-stress
0
votes
0
answers
20
GATE2019 CE-2: 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? $13.3$ $26.6$ $31.7$ $48.3$
Arjun
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Solid Mechanics
Feb 12, 2019
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Arjun
11.6k
points
gate2019-ce-2
solid-mechanics
shear-stress
structural-engineering
0
votes
0
answers
21
GATE2019 CE-2: 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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Solid Mechanics
Feb 12, 2019
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Arjun
11.6k
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gate2019-ce-2
numerical-answers
solid-mechanics
structural-engineering
shear-force
0
votes
0
answers
22
GATE2019 CE-2: 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 $IS:456-2000$, considering the long-term effects, the effective modulus of elasticity of the concrete (in $MPa$) is _________
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Solid Mechanics
Feb 12, 2019
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Arjun
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gate2019-ce-2
numerical-answers
solid-mechanics
structural-engineering
stress-and-strain-relationship
0
votes
0
answers
23
GATE2017 CE-1: 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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Solid Mechanics
Mar 26, 2018
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Milicevic3306
11.9k
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gate2017-ce-1
structural-engineering
beams
solid-mechanics
simple-stress-and-strain-relationship
0
votes
0
answers
24
GATE2017 CE-1: 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 kN-m) obtained at the support C will be equal to ________.
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Solid Mechanics
Mar 26, 2018
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Milicevic3306
11.9k
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gate2017-ce-1
numerical-answers
solid-mechanics
structural-engineering
bending-moment-in-beam
0
votes
0
answers
25
GATE2015-2-7
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 $45^{\circ}$ anti-clockwise w.r.t. $x$-axis $50$ MPa at all orientations Zero, at all orientations
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Solid Mechanics
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Milicevic3306
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gate2015-ce-2
solid-mechanics
structural-engineering
shear-stress
0
votes
0
answers
26
GATE2015-2-40
Stress path equation for tri-axial 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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Solid Mechanics
Mar 26, 2018
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Milicevic3306
11.9k
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gate2015-ce-2
solid-mechanics
geotechnical-engineering
stress-paths
0
votes
0
answers
27
GATE2015-1-6
Consider the singly reinforced beam shown in the figure below: At cross-section $XX$, which of the following statements is TRUE at the limit state? The variation of stress is linear and that of strain is non-linear The variation of strain is linear and that of stress is non-linear The variation of both stress and strain is linear The variation of both stress and strain is non - linear
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Solid Mechanics
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gate2015-ce-1
solid-mechanics
structural-engineering
reinforced-beam
stress-and-starin
0
votes
0
answers
28
GATE2015-1-35
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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Solid Mechanics
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Milicevic3306
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gate2015-ce-1
numerical-answers
structural-engineering
solid-mechanics
modulus-of-elasticity
0
votes
0
answers
29
GATE2014-2-46
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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Solid Mechanics
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gate2014-ce-2
numerical-answers
solid-mechanics
geotechnical-engineering
characteristics-of-sand
0
votes
0
answers
30
GATE2014-2-30
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 $100$
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Solid Mechanics
Mar 26, 2018
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Milicevic3306
11.9k
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gate2014-ce-2
solid-mechanics
structural-engineering
bending-moment-and-shear-force
0
votes
0
answers
31
GATE2014-2-10
The flexural tensile strength of $M25$ grade of concrete, in $N/mm^2$, as per $IS:456-2000$ is _______
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Solid Mechanics
Mar 26, 2018
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Milicevic3306
11.9k
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gate2014-ce-2
numerical-answers
solid-mechanics
structural-engineering
flexural-tensile-strength
0
votes
0
answers
32
GATE2014-2-7
The first moment of area about the axis of bending for a beam cross-section is moment inertia section modulus shape factor polar moment of inertia
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Solid Mechanics
Mar 26, 2018
by
Milicevic3306
11.9k
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gate2014-ce-2
solid-mechanics
structural-engineering
bending-moment-in
beams
0
votes
0
answers
33
GATE2014-2-6
Group I contains representative stress-strain curves as shown in the figure, while Group II gives the list of materials. Match the stress-strain curves with the corresponding materials. ... $P-3; \: Q - 1; \: R-2$ $P-3; \: Q - 2; \: R-1$
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Solid Mechanics
Mar 26, 2018
by
Milicevic3306
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gate2014-ce-2
solid-mechanics
structural-engineering
stress-and-strain-relationship
0
votes
0
answers
34
GATE2014-1-34
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 $25.00$
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Solid Mechanics
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Milicevic3306
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gate2014-ce-1
solid-mechanics
structural-engineering
tension-and-shear-force
0
votes
0
answers
35
GATE2014-1-10
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 $V>0.6V_s$ $V>0.7V_s$ $V>0.8V_s$ $V>0.9V_s$
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Solid Mechanics
Mar 26, 2018
by
Milicevic3306
11.9k
points
gate2014-ce-1
solid-mechanics
structural-engineering
bending-moment-and-shear-force
0
votes
0
answers
36
GATE2014-1-7
The possible location of shear centre of the channel section, shown below, is $P$ $Q$ $R$ $S$
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Solid Mechanics
Mar 26, 2018
by
Milicevic3306
11.9k
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gate2014-ce-1
structural-engineering
solid-mechanics
shear-centre
channel-secction
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 $50$ $75$ $100$ $110$
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Solid Mechanics
Mar 26, 2018
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Milicevic3306
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gate2013-ce
solid-mechanics
structural-engineering
shear-stress
matrix-of-stresses
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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Solid Mechanics
Mar 26, 2018
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Milicevic3306
11.9k
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gate2013-ce
solid-mechanics
structural-engineering
bending-theory
stress-and-strain-relationship
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 cross-sections and end-conditions. The ratio of buckling load of column P to that of column Q is $0.5$ $1.0$ $2.0$ $4.0$
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Solid Mechanics
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Milicevic3306
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gate2013-ce
solid-mechanics
structural-engineering
buckling-of-column
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
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Solid Mechanics
Mar 26, 2018
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Milicevic3306
11.9k
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gate2013-ce
solid-mechanics
structural-engineering
creep-strains
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