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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 ___________

go_editor asked in Structural Analysis Mar 1, 2021

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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 _________________

Arjun asked in Structural Analysis Feb 20, 2021

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3

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 asked in Structural Analysis Aug 7, 2019

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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 __________

Arjun asked in Structural Analysis Feb 12, 2019

by Arjun

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5

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 $0.681 \times 10^{-7}$ $0.943 \times 10^{-7}$ $4.310 \times 10^{-7}$ $5.910 \times 10^{-7}$

Milicevic3306 asked in Structural Analysis Mar 28, 2018

by Milicevic3306

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6

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 $\theta_{\text{max1}} = \theta_{\text{max2}}$

Milicevic3306 asked in Structural Analysis Mar 28, 2018

by Milicevic3306

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7

GATE2017 CE-1: 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 _________.

Milicevic3306 asked in Structural Analysis Mar 26, 2018

by Milicevic3306

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8

GATE2015-2-6
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 _________

Milicevic3306 asked in Structural Analysis Mar 26, 2018

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9

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 _______.

Milicevic3306 asked in Structural Analysis Mar 26, 2018

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10

GATE2015-1-33
Consider the singly reinforced beam section given below (left figure). The stress block parameters for the cross-section from $IS:456-2000$ are also given below (right figure). The moment of resistance for the given section by the limit state method is _______ kN-m

Milicevic3306 asked in Structural Analysis Mar 26, 2018

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11

GATE2014-1-31
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 ______

Milicevic3306 asked in Structural Analysis Mar 26, 2018

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12

GATE2014-1-12
In a beam of length $L$, four possible influence line diagram for shear force at a section located at a distance of $\dfrac{L}{4}$ from the left end support (marked as $P, Q, R,$ and $S$) are shown below. The correct influence line diagram is $P$ $Q$ $R$ $S$

Milicevic3306 asked in Structural Analysis Mar 26, 2018

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13

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). ______

Milicevic3306 asked in Structural Analysis Mar 26, 2018

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14

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 $30$ $40$ $45$ $55$

Milicevic3306 asked in Structural Analysis Mar 26, 2018

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15

GATE Civil 2012 | Question: 31
A simply supported beam is subjected ti a uniformly distributed load of intensity $w$ per unit length, on half of the span from one end. The length of the span and the flexural stiffness are denoted as $l$ and $EI$ ... $\dfrac{5}{384} \dfrac{wl^4}{EI} \\$ $\dfrac{5}{192} \dfrac{wl^4}{EI}$

Milicevic3306 asked in Structural Analysis Mar 25, 2018

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16

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 ______

gatecse asked in Structural Analysis Feb 17, 2018

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17

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 _______

gatecse asked in Structural Analysis Feb 17, 2018

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18

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_____

gatecse asked in Structural Analysis Feb 17, 2018

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19

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

gatecse asked in Structural Analysis Feb 17, 2018

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20

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

gatecse asked in Structural Analysis Feb 17, 2018

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