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Recent questions and answers in Structural Analysis
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GATE Civil 2021 Set 2  Question: 7
A single story building model is shown in the figure. The rigid bar of mass $\text{m}$' is supported by three massless elastic columns whose ends are fixed against rotation. For each of the columns, the applied lateral force $\text{(P)}$ ... $6\sqrt{\frac{6EI}{mL^{3}}}\text{rad/s}$ $\frac{2}{L}\sqrt{\frac{EI}{m}}\text{rad/s}$
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Mar 1
in
Structural Analysis
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jothee
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gatecivil2021set2
slopedeflectionmethod
lateraldeflectionprofile
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2
GATE Civil 2021 Set 2  Question: 20
A propped cantilever beam $\text{XY}$, with an internal hinge at the middle, is carrying a uniformly distributed load of $\text{10 kN/m}$, as shown in the figure. The vertical reaction at support $\text{X}$ ( in $\text{kN}$, $\textit{in integer}$) is ___________
asked
Mar 1
in
Structural Analysis
by
jothee
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5.2k
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gatecivil2021set2
numericalanswers
analysisofbeams
cantileverbeam
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3
GATE Civil 2021 Set 2  Question: 38
A prismatic fixedfixed beam, modelled with a total lumpedmass of $\text{10 kg}$ as a single degree of freedom $\text{(SDOF)}$ system is shown in the figure. If the flexural stiffness of the beam is $4 \pi ^{2}$ $\text{kN/m}$, its natural frequency of vibration (in $\text{Hz}$, $\textit{in integer}$) in the flexural mode will be ______________
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Mar 1
in
Structural Analysis
by
jothee
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5.2k
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gatecivil2021set2
numericalanswers
stiffnessandflexibilitymethods
structuralanalysis
0
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0
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4
GATE Civil 2021 Set 2  Question: 39
A perfectly flexible and inextensible cable is shown in the figure (not to scale). The external loads at $\text{F}$ and $\text{G}$ are acting vertically. The magnitude of tension in the cable segment $\text{FG}$ (in $\text{kN}, \textit{round off to two decimal places}$) is ________________________
asked
Mar 1
in
Structural Analysis
by
jothee
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5.2k
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gatecivil2021set2
numericalanswers
analysisofcables
0
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0
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5
GATE Civil 2021 Set 1  Question: 21
The equation of deformation is derived to be $y=x^{2}xL$ for a beam shown in the figure. The curvature of the beam at the midspan (in units, in integer) will be _________________
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Feb 20
in
Structural Analysis
by
Arjun
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8.7k
points)
gatecivil2021set1
numericalanswers
analysisofbeams
0
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0
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6
GATE Civil 2021 Set 1  Question: 22
A truss $\text{EFGH}$ is shown in the figure, in which all the members have the same axial rigidity $\text{R}$. In the figure, $\text{P}$ is the magnitude of external horizontal forces acting at joints $\text{F}$ ... of the horizontal displacement of joint $\text{G}$ (in $\text{mm}, \textit{round off to one decimal place}$) is _____________________
asked
Feb 20
in
Structural Analysis
by
Arjun
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8.7k
points)
gatecivil2021set1
numericalanswers
analysisoftrusses
0
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0
answers
7
GATE Civil 2021 Set 1  Question: 41
Employ stiffness matrix approach for the simply supported beam as shown in the figure to calculate unknown displacements/rotations. Take length, $L=8\text{ m}$; modulus of elasticity, $E=3\times 10^{4} \text{N/mm}^{2}$ ... (in $\text{mm}, \textit{round off to integer}$) under $\text{P=100 kN}$ in downward direction will be _________________
asked
Feb 20
in
Structural Analysis
by
Arjun
(
8.7k
points)
gatecivil2021set1
numericalanswers
slopedeflectionmethod
simplysupportedbeam
0
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0
answers
8
GATE2020CE15
Consider the planar truss shown in the figure (not drawn to the scale) Neglecting self weight of the numbers, the number of zeroforce members in the truss under the action of the load $P$, is $6$ $7$ $8$ $9$
asked
Feb 28, 2020
in
Structural Analysis
by
jothee
(
5.2k
points)
gate2020ce1
structuralanalysis
structuralengineering
analysisoftrusses
0
votes
0
answers
9
GATE2020CE141
A rigid, uniform, weightless, horizontal bar is connected to three vertical members P , Q and R as shown in the figure (not drawn to the scale). All three members have identical axial stiffness of $10\:kN/mm$ . The lower ends of bars $P$ and $R$ rest ... $W$ (in $kN$, round off to the nearest integer), is ______.
asked
Feb 28, 2020
in
Structural Analysis
by
jothee
(
5.2k
points)
gate2020ce1
numericalanswers
stiffnessandflexibilitymethods
0
votes
0
answers
10
GATE2020 CE27
A weightless cantilever beam of span L is loaded as shown in the figure. For the entire span of the beam, the material properties are identical and the cross section is rectangular with constant width. From the flexurecritical perspective, the most economical longitudinal profile of the beam to carry the given loads among the options given below, is
asked
Feb 13, 2020
in
Structural Analysis
by
jothee
(
5.2k
points)
gate2020ce2
solimechanics
structuralanalysis
flexure
0
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0
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11
GATE2020 CE230
Joints $I,J,K,L,Q$ and $M$ of the frame shown in the figure (not drawn to the scale) are pins. Continuous members $IQ$ and $LJ$ are connected through a pin at $N$. Continuous members $JM$ and $KQ$ are connected through a pin at $P$. The frame has hinge ... positive $X$ direction. The magnitude of the horizontal component of reaction $\text{(in kN)}$ at $S,$ is $5$ $10$ $15$ $20$
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Feb 13, 2020
in
Structural Analysis
by
jothee
(
5.2k
points)
gate2020ce2
structuralengineering
analysisofframes
0
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0
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12
GATE2020 CE242
The plane truss has hinge supports at $P$ and $W$ and is subjected to the horizontal forces as shown in the figure (not drawn to the scale) Representing the tensile force with $’+’$ sign and the compressive force with $’’$ sign, the force in member $XW$ (in $kN$, round off to the nearest integer), is ________.
asked
Feb 13, 2020
in
Structural Analysis
by
jothee
(
5.2k
points)
gate2020ce2
numericalanswers
structuralanalysis
structuralengineering
trusses
0
votes
0
answers
13
GATE2017 CE214
Consider the following frame in the figure: If the axial and shear deformations in different members of the frame are assumed to be negligible, the reduction in the degree of kinematical indeterminacy would be equal to $5$ $6$ $7$ $8$
asked
Aug 7, 2019
in
Structural Analysis
by
gatecse
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4k
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gate2017ce2
structuralanalysis
analysisofframes
structuralengineering
0
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0
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14
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 $\delta_1 = \delta_2$ $\delta_1 < \delta_2$ $\delta_1 > \delta_2$ $\delta_1 >> \delta_2$
asked
Aug 7, 2019
in
Structural Analysis
by
gatecse
(
4k
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gate2017ce2
structuralanalysis
structuralengineering
analysisofbeam
prismaticbeam
0
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0
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15
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 ... $M_P = M_Q>M_R$ $S_P < S_Q> S_R$; $M_P = M_Q=M_R$ $S_P < S_Q< S_R$; $M_P < M_Q < M_R$
asked
Aug 7, 2019
in
Structural Analysis
by
gatecse
(
4k
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gate2017ce2
structuralengineering
structuralanalysis
analysisofbeams
prismaticbeam
0
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0
answers
16
GATE2017 CE242
Consider the portal frame shown in the figure and assume the modulus of elasticity, $E=2.5 \times 10^4$ MPa and the moment of inertia, $I= 8 \times 10^8 \: mm^4$ for all the members of the frame. The rotation (in degrees, up to one decimal place) at the rigid joint Q would be ____________
asked
Aug 7, 2019
in
Structural Analysis
by
gatecse
(
4k
points)
gate2017ce2
numericalanswers
structuralanalysis
structuralengineering
analysisofframes
+1
vote
0
answers
17
GATE2019 CE1: 5
A plane truss is shown in the figure (not drawn to scale). Which one of the options contains ONLY zero force members in the truss? $\text{FG,FI,HI,RS}$ $\text{FG,FH,HI,RS}$ $\text{FI,HI,PR,RS}$ $\text{FI,FG,RS,PR}$
asked
Feb 14, 2019
in
Structural Analysis
by
Arjun
(
8.7k
points)
gate2019ce1
structuralanalysis
structuralengineering
trusses
0
votes
0
answers
18
GATE2019 CE1: 7
Consider the pinjointed plane truss shown in the figure $\text{(not drawn to scale)}$.Let $R_{P}, R_{Q}$ and $R_{R}$ denote the vertical reactions (upward positive) applied by the supports at $P, Q$ and $R,$ ... by $\text{(30,30,30)kN}$ $\text{(20,0,10)kN}$ $\text{(10,30,10)kN}$ $\text{(0,60,30)kN}$
asked
Feb 14, 2019
in
Structural Analysis
by
Arjun
(
8.7k
points)
gate2019ce1
structuralanalysis
structuralengineering
trusses
0
votes
0
answers
19
GATE2019 CE1: 32
The rigidjointed plane frame QRS shown in the figure is subjected to a load $P$ at the joint $R$. Let the axial deformations in the frame be neglected. If the support $S$ undergoes a settlement of $\Delta = \frac{PL^3}{\beta EI}$, the vertical reaction at the support $S$ will become zero when $\beta$ is equal to $0.1$ $3.0$ $7.5$ $48.0$
asked
Feb 14, 2019
in
Structural Analysis
by
Arjun
(
8.7k
points)
gate2019ce1
structuralengineering
structuralanalysis
analysisofframes
0
votes
0
answers
20
GATE2019 CE1: 39
A portal frame shown in figure (not drawn to scale) has a hinge support at joint P and a roller support at joint R. A point load of $50 \: kN$ is acting at joint in R in the horizontal direction. The flexural rigidity. EI, of each number is $10^6 \: kNm^2$. Under the applied load, the horizontal displacement (in mm, round off to $1$ decimal place) of joint R would be _________
asked
Feb 14, 2019
in
Structural Analysis
by
Arjun
(
8.7k
points)
gate2019ce1
numericalanswers
structuralengineering
structuralanalysis
analysisofframes
0
votes
0
answers
21
GATE2019 CE2: 20
The degree of static indeterminacy of the plane frame as shown in the figure is ________
asked
Feb 12, 2019
in
Structural Analysis
by
Arjun
(
8.7k
points)
gate2019ce2
numericalanswers
structuralengineering
structuralanalysis
analysisofframes
0
votes
0
answers
22
GATE2019 CE2: 37
A plane frame shown in the figure (not to scale) has linear elastic springs at node H. The spring constants are $k_x = k_y = 5 \times 10^5 kN/m$ and $k_{\theta} =3 \times 10^5 \: kNm/rad$. For the externally applied moment of $30 \: kNm$ at node F, the rotation (in degrees, round off to $3$ decimals) observed in the rotational spring at node H is ______
asked
Feb 12, 2019
in
Structural Analysis
by
Arjun
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8.7k
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gate2019ce2
numericalanswers
structuralengineering
structuralanalysis
analysisofframes
0
votes
0
answers
23
GATE2019 CE2: 38
A rolled $I$section beam is supported in a $75 \: mm$ wide bearing plate as shown in the figure. Thicknesses of flange and web of the $I$ section $20 \: mm$ and $8 \: mm$, respectively. Root radius of the $I$section is $10 \: mm$. Assume: material ... $IS: 8002007$, the web bearing strength (in $kN$, round off to $2$ decimal places) of the beam is __________
asked
Feb 12, 2019
in
Structural Analysis
by
Arjun
(
8.7k
points)
gate2019ce2
numericalanswers
structuralengineering
structuralanalysis
analysisofbeams
0
votes
0
answers
24
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
Structural Analysis
by
Milicevic3306
(
11.9k
points)
gate2016ce2
bendingmomentinbeam
structuralanalysis
structuralengineering
analysisofframes
0
votes
0
answers
25
GATE201616
Consider the plane truss with load P as shown in the figure. Let the horizontal and vertical reactions at the joint $\textbf{B}$ be $H_B$ and $V_B$, respectively and $V_C$ be the vertical reaction at the joint $\textbf{C}$. Which one of the following sets gives the correct values of $V_B$, $H_B$ ... $V_B=P; \: H_B = P (\cos 60^{\circ}); \: V_C=0$
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Mar 28, 2018
in
Structural Analysis
by
Milicevic3306
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11.9k
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gate2016ce1
structuralengineering
structuralanalysis
analysisoftrusses
0
votes
0
answers
26
GATE2016131
A $3$ m long simply supported beam of uniform cross section is subjected to a uniformly distributed load of $w=20$kN/m in the central $1$ m as shown in the figure. If the flexural rigidity (EI) of the beam is $30 \times 10^6 \: Nm^2$, the maximum slope (expressed in radians) of the ... is $0.681 \times 10^{7}$ $0.943 \times 10^{7}$ $4.310 \times 10^{7}$ $5.910 \times 10^{7}$
asked
Mar 28, 2018
in
Structural Analysis
by
Milicevic3306
(
11.9k
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gate2016ce1
structuralengineering
analysisofbeams
structuralanalysis
0
votes
0
answers
27
GATE2016132
Two beams $PQ$ (fixed at $P$ and with a roller support at $Q$, as shown in Figure I, which allows vertical movement) and $XZ$ (with a hinge at $Y$) are shown in the Figures I and II respectively. The spans of $PQ$ and $XZ$ are $L$ and $2L$ respectively. Both the ... $\delta_{\text{max1}} = \delta_{\text{max2}}$ and $\theta_{\text{max1}} = \theta_{\text{max2}}$
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Mar 28, 2018
in
Structural Analysis
by
Milicevic3306
(
11.9k
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gate2016ce1
analysisofbeams
structuralengineering
structuralanalysis
0
votes
0
answers
28
GATE2016133
A plane truss with applied loads is shown in the figure. The members which do not carry any force are FT, TG, HU, MP, PL ET, GS, UR, VR, QL FT, GS, HU, MP, QL MP, PL, HU, FT, UR
asked
Mar 28, 2018
in
Structural Analysis
by
Milicevic3306
(
11.9k
points)
gate2016ce1
structuralanalysis
structuralengineering
analysisoftrusses
0
votes
0
answers
29
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 $\dfrac{qL^2}{10}$
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Mar 26, 2018
in
Structural Analysis
by
Milicevic3306
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11.9k
points)
gate2017ce1
solidmechanics
structuralengineering
analysisofarches
0
votes
0
answers
30
GATE2017 CE1: 29
A planar truss tower structure is shown in the figure. Consider the following statements about the external and internal determinacies of the truss. Externally Determinate External Static Indeterminacy $=1$ External Static Indeterminacy $=2$ Internally Determinate Internal Static Indeterminacy $=1$ ... SFalse; TFalse; U True PTrue; Q True; RFalse; STrue; TFalse; U True
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Mar 26, 2018
in
Structural Analysis
by
Milicevic3306
(
11.9k
points)
gate2017ce1
structuralanalysis
structuralengineering
analysisoftrusses
0
votes
0
answers
31
GATE2017 CE1: 40
The value of $M$ in the beam ABC shown in the figure is such that the joint B does not rotate. The value of support reaction (in kN) at B should be equal to _________.
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Mar 26, 2018
in
Structural Analysis
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Milicevic3306
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11.9k
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gate2017ce1
numericalanswers
structuralengineering
structuralanalysis
analysisofbeams
0
votes
0
answers
32
GATE201526
A horizontal beam $ABC$ is loaded as shown in the figure below. The distance of the point of contraflexure from end $A$ (in m) is _________
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Mar 26, 2018
in
Structural Analysis
by
Milicevic3306
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11.9k
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gate2015ce2
numericalanswers
structuralengineering
structuralanalysis
analysisofbeams
0
votes
0
answers
33
GATE201528
A guided support as shown in the figure below is represented by three springs (horizontal, vertical and rotational) with stiffness $k_x, k_y$ and $k_{\theta}$ respectively. The limiting values of $k_x, k_y$ and $k_{\theta}$ are: $\infty, 0, \infty$ $\infty, \infty, \infty$ $0, \infty, \infty$ $\infty, \infty, 0$
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Mar 26, 2018
in
Structural Analysis
by
Milicevic3306
(
11.9k
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gate2015ce2
structuralengineering
structuralanalysis
stiffness
0
votes
0
answers
34
GATE2015233
A simply supported beam AB of span, $L=24$ m is subjected to two wheel loads acting at a distance, $d=5$ m apart as shown in the figure below. Each wheel transmits a load, $P=3$ kN and may occupy any position along the beam. If the beam is an $I$section having section modulus, $S=16.2 \:cm^3$, the maximum bending stress (in GPa) due to the wheel loads is _______.
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Mar 26, 2018
in
Structural Analysis
by
Milicevic3306
(
11.9k
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gate2015ce2
numericalanswers
structuralengineering
beam
structuralanalysis
analysisofbeams
0
votes
0
answers
35
GATE201517
For the beam shown below, the stiffness coefficient $K_{22}$ can be written as $\dfrac{6EI}{L^2} \\$ $\dfrac{12EI}{L^3} \\$ $\dfrac{3EI}{L} \\$ $\dfrac{EI}{6L^2}$
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Mar 26, 2018
in
Structural Analysis
by
Milicevic3306
(
11.9k
points)
gate2015ce1
structuralanalysis
structuralengineering
stiffnesscoefficient
0
votes
0
answers
36
GATE2015133
Consider the singly reinforced beam section given below (left figure). The stress block parameters for the crosssection from $IS:4562000$ are also given below (right figure). The moment of resistance for the given section by the limit state method is _______ kNm
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Mar 26, 2018
in
Structural Analysis
by
Milicevic3306
(
11.9k
points)
gate2015ce1
numericalanswers
structuralengineering
structuralanalysis
analysisofbeams
0
votes
0
answers
37
GATE2015137
For the $2D$ truss with the applied loads shown below, the strain energy in the member $XY$ is _____ kNm. For member $XY$, assume $AE=30$ kN, where $A$ is crosssection area and $E$ is the modulus of elasticity.
asked
Mar 26, 2018
in
Structural Analysis
by
Milicevic3306
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11.9k
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gate2015ce1
numericalanswers
structuralanalysis
structuralengineering
trusses
strainenergy
0
votes
0
answers
38
GATE2014235
The tension (in kN) in a $10$ m long cable, shown in the figure, neglecting its selfweight is $120$ $75$ $60$ $45$
asked
Mar 26, 2018
in
Structural Analysis
by
Milicevic3306
(
11.9k
points)
gate2014ce2
structuralanalysis
structuralengineering
analysisofcables
0
votes
0
answers
39
GATE2014132
For the truss shown below, the member $PQ$ is short by $3$ mm. The magnitude of vertical displacement of joint $R$ (in mm) is ______
asked
Mar 26, 2018
in
Structural Analysis
by
Milicevic3306
(
11.9k
points)
gate2014ce1
numericalanswers
structuralanalysis
structuralengineering
analysisoftrusses
0
votes
0
answers
40
GATE2014131
For the cantilever beam of span $3$ m (shown below) m concentrated load of $20 \: kN$ applied at the free end causes a vertical displacement of $2$ mm at a section located at a distance of $1$ m from the fixed end. If a concentrated vertically downward load ... m from the fixed end (with no other load on the beam), the maximum vertical displacement in the same beam (in mm) is ______
asked
Mar 26, 2018
in
Structural Analysis
by
Milicevic3306
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11.9k
points)
gate2014ce1
numericalanswers
structuralengineering
structuralanalysis
analysisofbeams
cantileverbeam
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