Recent questions and answers in Structural Analysis - GATE Civil Q&A

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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 $\text{(P)}$ ... $6\sqrt{\frac{6EI}{mL^{3}}}\text{rad/s}$ $\frac{2}{L}\sqrt{\frac{EI}{m}}\text{rad/s}$

asked Mar 1 in Structural Analysis by jothee (5.2k points)

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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 (5.2k points)

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GATE Civil 2021 Set 2 | Question: 38
A prismatic fixed-fixed beam, modelled with a total lumped-mass 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 ______________

asked Mar 1 in Structural Analysis by jothee (5.2k points)

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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 (5.2k points)

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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 mid-span (in units, in integer) will be _________________

asked Feb 20 in Structural Analysis by Arjun (8.7k points)

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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 (8.7k points)

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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)

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GATE2020-CE-1-5
Consider the planar truss shown in the figure (not drawn to the scale) Neglecting self weight of the numbers, the number of zero-force 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)

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9

GATE2020-CE-1-41
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)

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10

GATE2020 CE-2-7
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 flexure-critical 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)

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GATE2020 CE-2-30
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 $5$ $10$ $15$ $20$

asked Feb 13, 2020 in Structural Analysis by jothee (5.2k points)

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12

GATE2020 CE-2-42
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)

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13

GATE2017 CE-2-14
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 (4k points)

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GATE2017 CE-2-42
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)

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15

GATE2019 CE-1: 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)

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16

GATE2019 CE-1: 7
Consider the pin-jointed 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)

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17

GATE2016-1-33
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)

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GATE2017 CE-1: 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 $=1$ ... S-False; T-False; U- True P-True; Q- True; R-False; S-True; T-False; U- True

asked Mar 26, 2018 in Structural Analysis by Milicevic3306 (11.9k points)

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19

GATE2015-1-7
For the beam shown below, the stiffness coefficient $K_{22}$ can be written as $\dfrac{6EI}{L^2} \\$ $\dfrac{12EI}{L^3} \\$ $\dfrac{3EI}{L} \\$ $\dfrac{EI}{6L^2}$

asked Mar 26, 2018 in Structural Analysis by Milicevic3306 (11.9k points)

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20

GATE2015-1-37
For the $2D$ truss with the applied loads shown below, the strain energy in the member $XY$ is _____ kN-m. For member $XY$, assume $AE=30$ kN, where $A$ is cross-section area and $E$ is the modulus of elasticity.

asked Mar 26, 2018 in Structural Analysis by Milicevic3306 (11.9k points)

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21

GATE2014-2-35
The tension (in kN) in a $10$ m long cable, shown in the figure, neglecting its self-weight is $120$ $75$ $60$ $45$

asked Mar 26, 2018 in Structural Analysis by Milicevic3306 (11.9k points)

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22

GATE2014-1-32
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)

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23

GATE2014-1-11
The degree of static indeterminacy of a rigid joined frame $\text{PQR}$ supported as shown in the figure is zero one two unstable

asked Mar 26, 2018 in Structural Analysis by Milicevic3306 (11.9k points)

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24

GATE Civil 2013 | Question: 10
The pin-jointed $2-D$ truss is loaded with a horizontal force of $15 \: kN$ at joint S and another $15 \: kN$ vertical force at joint U, as shown. Find the force in member RS (in $kN$) and report your answer taking tension as positive and compression as negative _________

asked Mar 26, 2018 in Structural Analysis by Milicevic3306 (11.9k points)

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25

GATE2018 CE-2: 42
A cable PQ of length $25$ m is supported at two ends at the same level as shown in the figure. The horizontal distance between the supports is $20$ m. A point load of $150$ kN is applied at point R which divides into two equal parts. Neglecting the self-weight of the cable, the tension (in kN, in integer value) in the cable due to the applied load will be _______

asked Feb 17, 2018 in Structural Analysis by gatecse (4k points)

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26

GATE2018 CE-2: 4
All the members of the planar truss (see figure), have the same properties in terms of area of cross-section (A) and modulus of elasticity (E). For the loads shown on the truss, the statement that correctly represents the nature of forces in the members of the ... and $1$ members in compression, and $2$ zero-force member There are $2$ members in tension, and $3$ zero-force member

asked Feb 17, 2018 in Structural Analysis by gatecse (4k points)

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