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Most viewed questions in Structural Analysis
0
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2
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1
GATE2018 CE-2: 38
An $8$ m long simply-supported elastic beam of rectangular cross-section ($100$ mm $\times 200 $mm) is subjected to a uniformly distributed load of $10$ kN/m over its entire span. The maximum principal stress (in MPa, up to two decimal places) at a point located at the extreme compression edge of a cross-section and at $2$ m from the support is _______
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Structural Analysis
Feb 17, 2018
by
gatecse
4.0k
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gate2018-ce-2
numerical-answers
structural-engineering
structural-analysis
analysis-of-beams
simply-supported-elastic-beam
0
votes
0
answers
2
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 $6$ $7$ $8$ $9$
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Structural Analysis
Feb 28, 2020
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go_editor
5.3k
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gate2020-ce-1
structural-analysis
structural-engineering
analysis-of-trusses
0
votes
0
answers
3
GATE2018 CE-1: 30
The figure shows a simply supported beam PQ of uniform flexural rigidity EI carrying two moments $M$ and $2M$. The slope at P will be $0$ $\text{ML}/(9\text{EI})$ $\text{ML}/(6\text{EI})$ $\text{ML}/(3\text{EI})$
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Structural Analysis
Feb 17, 2018
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gatecse
4.0k
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gate2018-ce-1
structural-analysis
structural-engineering
simply-supported-beam
0
votes
0
answers
4
GATE2018 CE-2: 7
A vertical load of $10$ kN acts on a hinge located at a distance of $L/4$ from the roller support Q of a beam of length $L$ (see figure). The vertical reaction at support Q is $0.0$ kN $2.5$ kN $7.5$ kN $10.0$ kN
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Structural Analysis
Feb 17, 2018
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gatecse
4.0k
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gate2018-ce-2
structural-engineering
structural-analysis
analysis-of-beams
0
votes
0
answers
5
GATE2018 CE-1: 8
A solid circular beam with radius of $0.25$ m and length of $2$ m is subjected to a twisting moment of $20$ kNm about the z-axis at the free end, which is the only load acting as shown in the figure. The shear stress component $\tau_{xy}$ at point 'M' in the cross-section of the beam at a distance of $1$ m from the fixed end is $0.0$ MPa $0.51$ MPa $0.815$ MPa $2.0$ MPa
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Structural Analysis
Feb 17, 2018
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gatecse
4.0k
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gate2018-ce-1
structural-analysis
structural-engineering
shear-stress
analysis-of-beams
0
votes
0
answers
6
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 $\text{(30,-30,30)kN}$ $\text{(20,0,10)kN}$ $\text{(10,30,-10)kN}$ $\text{(0,60,-30)kN}$
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Structural Analysis
Feb 14, 2019
by
Arjun
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gate2019-ce-1
structural-analysis
structural-engineering
trusses
0
votes
1
answer
7
GATE2018 CE-2: 39
A prismatic beam P-Q-R of flexural rigidity $EI = 1 \times 10^4 kNm^2$ is subjected to a momemnt of $180 kNm$ at Q as shown in the figure The rotation at Q (in rad. up to two decimal places is_____
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Structural Analysis
Feb 17, 2018
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gatecse
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gate2018-ce-2
numerical-answers
structural-engineering
structural-analysis
analysis-of-beams
prismatic-beam
0
votes
2
answers
8
GATE2018 CE-1: 43
Consider the deformable pin-joined truss with loading, geometry and section properties as shown in the figure. Given that $E = 2 \times 10^{11} N/m^2, \: A=10 mm^2, L=1 m$ and $P=1 kN$. The horizontal displacement of Joint C (in mm, up to one decimal place) is _____
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Structural Analysis
Feb 17, 2018
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gatecse
4.0k
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gate2018-ce-1
numerical-answers
structural-engineering
structural-analysis
analysis-of-trusses
0
votes
0
answers
9
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 _______
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in
Structural Analysis
Feb 17, 2018
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gatecse
4.0k
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gate2018-ce-2
numerical-answers
structural-analysis
structural-engineering
analysis-of-cables
0
votes
2
answers
10
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 ________________________
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Structural Analysis
Mar 1, 2021
by
go_editor
5.3k
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gatecivil-2021-set2
numerical-answers
analysis-of-cables
1
vote
0
answers
11
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? $\text{FG,FI,HI,RS}$ $\text{FG,FH,HI,RS}$ $\text{FI,HI,PR,RS}$ $\text{FI,FG,RS,PR}$
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Structural Analysis
Feb 14, 2019
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Arjun
11.6k
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gate2019-ce-1
structural-analysis
structural-engineering
trusses
0
votes
0
answers
12
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
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Structural Analysis
Feb 17, 2018
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gatecse
4.0k
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gate2018-ce-2
structural-analysis
structural-engineering
trusses
0
votes
0
answers
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 $5$ $6$ $7$ $8$
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Structural Analysis
Aug 7, 2019
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gatecse
4.0k
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gate2017-ce-2
structural-analysis
analysis-of-frames
structural-engineering
0
votes
0
answers
14
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 _________________
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Structural Analysis
Feb 20, 2021
by
Arjun
11.6k
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gatecivil-2021-set1
numerical-answers
slope-deflection-method
simply-supported-beam
0
votes
0
answers
15
GATE2017 CE-2-32
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 ... $M_P = M_Q>M_R$ $S_P < S_Q> S_R$; $M_P = M_Q=M_R$ $S_P < S_Q< S_R$; $M_P < M_Q < M_R$
gatecse
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Structural Analysis
Aug 7, 2019
by
gatecse
4.0k
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gate2017-ce-2
structural-engineering
structural-analysis
analysis-of-beams
prismatic-beam
0
votes
0
answers
16
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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Structural Analysis
Mar 1, 2021
by
go_editor
5.3k
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gatecivil-2021-set2
slope-deflection-method
lateral-deflection-profile
0
votes
0
answers
17
GATE2018 CE-2: 40
A prismatic propped cantilever beam of span $L$ and plastic moment capacity $M_p$ is subjected to a concentrated load at its mid-span. If the collapse load of the beam is $\alpha \dfrac{M_p}{L}$, the value of $\alpha$ is ______
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in
Structural Analysis
Feb 17, 2018
by
gatecse
4.0k
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gate2018-ce-2
numerical-answers
structural-engineering
structural-analysis
analysis-of-beams
cantilever-beam
0
votes
0
answers
18
GATE2019 CE-1: 32
The rigid-jointed 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 $0.1$ $3.0$ $7.5$ $48.0$
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Feb 14, 2019
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Arjun
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gate2019-ce-1
structural-engineering
structural-analysis
analysis-of-frames
0
votes
0
answers
19
GATE2019 CE-2: 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 ... $IS: 800-2007$, the web bearing strength (in $kN$, round off to $2$ decimal places) of the beam is __________
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Structural Analysis
Feb 12, 2019
by
Arjun
11.6k
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gate2019-ce-2
numerical-answers
structural-engineering
structural-analysis
analysis-of-beams
0
votes
0
answers
20
GATE2015-1-7
For the beam shown below, the stiffness coefficient $K_{22}$ can be written as $\dfrac{6EI}{L^2} \\$ $\dfrac{12EI}{L^3} \\$ $\dfrac{3EI}{L} \\$ $\dfrac{EI}{6L^2}$
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Structural Analysis
Mar 26, 2018
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Milicevic3306
11.9k
points
gate2015-ce-1
structural-analysis
structural-engineering
stiffness-coefficient
0
votes
0
answers
21
GATE Civil 2013 | Question: 34
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 $30$ $40$ $45$ $55$
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Structural Analysis
Mar 26, 2018
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Milicevic3306
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gate2013-ce
tructural-analysis
shear-force
structural-engineering
analysis-of-beams
0
votes
0
answers
22
GATE2015-2-33
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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Structural Analysis
Mar 26, 2018
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Milicevic3306
11.9k
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gate2015-ce-2
numerical-answers
structural-engineering
beam
structural-analysis
analysis-of-beams
0
votes
0
answers
23
GATE2019 CE-2: 20
The degree of static indeterminacy of the plane frame as shown in the figure is ________
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Structural Analysis
Feb 12, 2019
by
Arjun
11.6k
points
gate2019-ce-2
numerical-answers
structural-engineering
structural-analysis
analysis-of-frames
0
votes
0
answers
24
GATE2019 CE-2: 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 ______
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Structural Analysis
Feb 12, 2019
by
Arjun
11.6k
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gate2019-ce-2
numerical-answers
structural-engineering
structural-analysis
analysis-of-frames
0
votes
0
answers
25
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 ______________
go_editor
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in
Structural Analysis
Mar 1, 2021
by
go_editor
5.3k
points
gatecivil-2021-set2
numerical-answers
stiffness-and-flexibility-methods
structural-analysis
0
votes
0
answers
26
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 ____________
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Structural Analysis
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gatecse
4.0k
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gate2017-ce-2
numerical-answers
structural-analysis
structural-engineering
analysis-of-frames
0
votes
0
answers
27
GATE2016-1-31
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 $30 \times 10^6 \: N-m^2$, the maximum slope (expressed in radians) of the ... is $0.681 \times 10^{-7}$ $0.943 \times 10^{-7}$ $4.310 \times 10^{-7}$ $5.910 \times 10^{-7}$
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Structural Analysis
Mar 28, 2018
by
Milicevic3306
11.9k
points
gate2016-ce-1
structural-engineering
analysis-of-beams
structural-analysis
0
votes
0
answers
28
GATE Civil 2012 | Question: 34
A symmetric frame $PQR$ consists of two inclined members $PQ$ and $QR$, connected at $‘Q’$ with a rigid joint, and hinged at $‘P’$ and $‘R’$. The horizontal length $PR$ is $l$. If a weight $W$ is suspended at $‘Q’$, the bending moment at $‘Q’$ is $\dfrac{Wl}{2} \\$ $\dfrac{Wl}{4} \\$ $\dfrac{Wl}{8} \\$ zero
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Mar 25, 2018
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Milicevic3306
11.9k
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gate2012-ce
structural-engineering
structural-analysis
analysis-of-frames
0
votes
0
answers
29
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
go_editor
asked
in
Structural Analysis
Feb 13, 2020
by
go_editor
5.3k
points
gate2020-ce-2
soli-mechanics
structural-analysis
flexure
0
votes
0
answers
30
GATE2017 CE-2-31
Two prismatic beams having the same flexural rigidity of $1000 \: kN-m^2$ are shown in the figures. If the mid-span 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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in
Structural Analysis
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by
gatecse
4.0k
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gate2017-ce-2
structural-analysis
structural-engineering
analysis-of-beam
prismatic-beam
0
votes
0
answers
31
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 ___________
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Structural Analysis
Mar 1, 2021
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5.3k
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gatecivil-2021-set2
numerical-answers
analysis-of-beams
cantilever-beam
0
votes
0
answers
32
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 $5$ $10$ $15$ $20$
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Structural Analysis
Feb 13, 2020
by
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gate2020-ce-2
structural-engineering
analysis-of-frames
0
votes
0
answers
33
GATE2017 CE-1: 7
The figure shows a two-hinged 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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Structural Analysis
Mar 26, 2018
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Milicevic3306
11.9k
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gate2017-ce-1
solid-mechanics
structural-engineering
analysis-of-arches
0
votes
0
answers
34
GATE2016-1-32
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
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gate2016-ce-1
analysis-of-beams
structural-engineering
structural-analysis
0
votes
0
answers
35
GATE Civil 2013 | Question: 31
All members in the rigid-jointed 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 ________
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gate2013-ce
numerical-answers
structural-analysis
bending-moment
structural-engineering
analysis-of-frames
0
votes
0
answers
36
GATE2015-2-8
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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gate2015-ce-2
structural-engineering
structural-analysis
stiffness
0
votes
0
answers
37
GATE Civil 2013 | Question: 32
A uniform beam $(EI = \textit{constant})PQ$ in the form of a quarter-circle of radius $R$ is fixed at end $P$ and free at the end $Q$, where a load $W$ is applied as shown. The vertical downward displacement, $\delta_q$, at the loaded point $Q$ is ... $\delta_q = \beta \bigg( \dfrac{WR^3}{EI} \bigg)$. Find the value of $\beta$(correct to $4$-decimal places). ______
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gate2013-ce
numerical-answers
structural-engineering
analysis-of-beams
structural-analysis
0
votes
0
answers
38
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
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Structural Analysis
Mar 26, 2018
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11.9k
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gate2014-ce-1
structural-analysis
structural-engineering
static-indeterminacy
analysis-of-frames
0
votes
0
answers
39
GATE2019 CE-1: 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 _________
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Structural Analysis
Feb 14, 2019
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Arjun
11.6k
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gate2019-ce-1
numerical-answers
structural-engineering
structural-analysis
analysis-of-frames
0
votes
0
answers
40
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
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gate2016-ce-1
structural-analysis
structural-engineering
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