Recent activity in Structural Engineering

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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 ________________________

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 ...

140 points

Chandan5311 answered Oct 28, 2022

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2

GATE2014-1-36
In a reinforced concrete section, the stress at the extreme fibre in compression is $5.80$ MPa. The depth of neutral axis in the section is $58$ mm and the grade of concrete is $M25$. Assuming linear elastic behavior of the concrete, the effective curvature of the section (in per mm) is $2.0 \times 10^{-6}$ $3.0 \times 10^{-6}$ $4.0 \times 10^{-6}$ $5.0 \times 10^{-6}$

In a reinforced concrete section, the stress at the extreme fibre in compression is $5.80$ MPa. The depth of neutral axis in the section is $58$ mm and the grade of concr...

100 points

Chandanachandu edited May 30, 2021

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3

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 ______

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 locate...

100 points

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4

GATE2014-1-27
A box of weight $100$ kN shown in the figure is to be lifted without swinging. If all forces are coplanar, the magnitude and direction $( \theta)$ of the force $(F)$ with respect to $x$-axis should be $F=56.389$ kN and $\theta=28.28^{\circ}$ $F=-56.389$ kN and $\theta=-28.28^{\circ}$ $F=9.055$ kN and $\theta=1.414^{\circ}$ $F=-9.055$ kN and $\theta=-1.414^{\circ}$

A box of weight $100$ kN shown in the figure is to be lifted without swinging. If all forces are coplanar, the magnitude and direction $( \theta)$ of the force $(F)$ with...

100 points

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5

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 ______

For the truss shown below, the member $PQ$ is short by $3$ mm. The magnitude of vertical displacement of joint $R$ (in mm) is ______

100 points

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6

GATE2014-1-33
A rectangular beam of width $(b)$ $230$ mm and effective depth $(d)$ $450$ mm is reinforced with four bars of $12$ mm diameter. The grade of concrete is $M20$ and grade of steel is $Fe500$. Given that for $M20$ ... diameter (in mm) of $Fe500$ steel two legged stirrups to be used at spacing of $375$ mm, should be $8$ $10$ $12$ $16$

A rectangular beam of width $(b)$ $230$ mm and effective depth $(d)$ $450$ mm is reinforced with four bars of $12$ mm diameter. The grade of concrete is $M20$ and grade o...

100 points

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7

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 $P$ $Q$ $R$ $S$

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...

100 points

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8

GATE2014-1-7
The possible location of shear centre of the channel section, shown below, is $P$ $Q$ $R$ $S$

The possible location of shear centre of the channel section, shown below, is$P$$Q$$R$$S$

100 points

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9

GATE2014-1-9
While designing, for a steel column of $Fe250$ grade, a base plate resting on a concrete pedestal of $M20$ grade, the bearing strength of concrete (in $N/mm^2$) in limit state method of design as per $IS:456-2000$ is ________

While designing, for a steel column of $Fe250$ grade, a base plate resting on a concrete pedestal of $M20$ grade, the bearing strength of concrete (in $N/mm^2$) in limit ...

100 points

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10

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

The degree of static indeterminacy of a rigid joined frame $\text{PQR}$ supported as shown in the figure iszeroonetwounstable

100 points

Chandanachandu edited May 30, 2021

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11

GATE2014-1-30
Mathematical idealization of a crane has three bars with their vertices arranged as shown in the figure with a load of $80$ kN hanging vertically. The coordinates of the vertices are given in parentheses. The force in the member $QR$, $F_{QR}$ will be $30$ kN Compressive $30$ kN Tensile $50$ Compressive $50$ kN Tensile

Mathematical idealization of a crane has three bars with their vertices arranged as shown in the figure with a load of $80$ kN hanging vertically. The coordinates of the ...

100 points

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12

GATE2014-2-33
Considering the symmetric of a rigid frame as shown below, the magnitude of the bending moment (in kNm) at P (preferably using the moment distribution method) is $170$ $172$ $176$ $178$

Considering the symmetric of a rigid frame as shown below, the magnitude of the bending moment (in kNm) at P (preferably using the moment distribution method) is$170$$172...

100 points

Chandanachandu edited May 29, 2021

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13

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

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

100 points

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14

GATE Civil 2013 | Question: 11
A symmetric I-section (with width of each flange $=50$ mm, thickness of each flange $=10$ mm, depth of web $=100$ mm, and thickness of web $=10$ mm) of steel is subjected to a shear force of $100$ kN. Find the magnitude of the shear stress (in $N/mm^2$) in the web at its junction with the top flange _______

A symmetric I-section (with width of each flange $=50$ mm, thickness of each flange $=10$ mm, depth of web $=100$ mm, and thickness of web $=10$ mm) of steel is subjected...

100 points

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15

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). ______

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 show...

100 points

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16

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 ________

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 give...

100 points

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17

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

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 le...

100 points

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18

GATE Civil 2012 | Question: 52
The cross-section at mid-span of a beam at the edge of a slab is shown in the sketch. A portion of the slab is considered as the effective flange width for the beam. The grades of concrete and reinforcing steel are $M25$ and $Fe415$, respectively. The total area of ... mm) computed as per the Limit State Method of $IS \: 456:2000$ is $200.0$ $223.3$ $236.3$ $273.6$

The cross-section at mid-span of a beam at the edge of a slab is shown in the sketch. A portion of the slab is considered as the effective flange width for the beam. The ...

100 points

Chandanachandu recategorized May 29, 2021

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19

GATE Civil 2012 | Question: 53
The cross-section at mid-span of a beam at the edge of a slab is shown in the sketch. A portion of the slab is considered as the effective flange width for the beam. The grades of concrete and reinforcing steel are M25 and Fe415, respectively. The total area of reinforcing ... , as per the Limit State Method of $\text{IS } 456:2000$ is $475.2$ $717.0$ $756.4$ $762.5$

The cross-section at mid-span of a beam at the edge of a slab is shown in the sketch. A portion of the slab is considered as the effective flange width for the beam. The ...

100 points

Chandanachandu edited May 29, 2021

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20

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

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 l...

100 points

Chandanachandu recategorized May 29, 2021

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21

GATE Civil 2012 | Question: 32
The sketch shows a column with a pin at the base and rollers at the top. It is subjected to an axial force $P$ and a moment $M$ at mid-height. The reaction(s) at R is/are a vertical force equal to $P$ a vertical force equal to $P/2$ a vertical force equal to $P$ an a horizontal force equal to $M/h$ a vertical force equal to $P/2$ and a horizontal force equal to $M/h$

The sketch shows a column with a pin at the base and rollers at the top. It is subjected to an axial force $P$ and a moment $M$ at mid-height. The reaction(s) at R is/are...

100 points

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22

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 $EI$ ... $\dfrac{5}{384} \dfrac{wl^4}{EI} \\$ $\dfrac{5}{192} \dfrac{wl^4}{EI}$

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 fl...

100 points

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23

GATE Civil 2012 | Question: 6
If a small concrete cube is submerged deep in still water in such a way that the pressure exerted on all faces of the cube is $p$, then the maximum shear stress developed inside the cube is $0$ $\dfrac{p}{2}$ $p$ $2p$

If a small concrete cube is submerged deep in still water in such a way that the pressure exerted on all faces of the cube is $p$, then the maximum shear stress developed...

100 points

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24

GATE Civil 2012 | Question: 4
The Poisson's ratio is defined as $\begin{vmatrix} \dfrac{\text{axial stress}}{\text{lateral stress}} \end{vmatrix} \\$ $\begin{vmatrix} \dfrac{\text{lateral strain}}{\text{axial strain}} \end{vmatrix} \\$ ... $\begin{vmatrix} \dfrac{\text{axial strain}}{\text{lateral strain}} \end{vmatrix}$

The Poisson’s ratio is defined as$\begin{vmatrix} \dfrac{\text{axial stress}}{\text{lateral stress}} \end{vmatrix} \\$$\begin{vmatrix} \dfrac{\text{lateral strain}}{\te...

100 points

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25

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 _________

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 _________

100 points

Chandanachandu recategorized May 28, 2021

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26

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: $\infty, 0, \infty$ $\infty, \infty, \infty$ $0, \infty, \infty$ $\infty, \infty, 0$

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 $k_{\theta}$ respectivel...

100 points

Chandanachandu recategorized May 28, 2021

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27

GATE2015-2-9
A column of size $450 \: mm \times 600\: mm $ has unsupported length of $3.0$ m and is braced against side sway in both directions. According to $IS \: 456:2000$, the minimum eccentricities (in mm) with respect to major and minor principal axes are: $20.0$ and $20.0$ $26.0$ and $21.0$ $26.0$ and $20.0$ $21.0$ and $15.0$

A column of size $450 \: mm \times 600\: mm $ has unsupported length of $3.0$ m and is braced against side sway in both directions. According to $IS \: 456:2000$, the min...

100 points

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28

GATE2015-2-10
Prying forces are shearing forces on the bolts because of the joints tensile forces due to the flexibility of connected parts bending forces on the bolts because of the joints forces due the friction between connected parts

Prying forces areshearing forces on the bolts because of the jointstensile forces due to the flexibility of connected partsbending forces on the bolts because of the join...

100 points

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29

GATE2015-2-31
A simply supported reinforced concrete beam of length $10$ m sags while undergoing shrinkage. Assuming a uniform curvature of $0.004 m^{-1}$ along the span, the maximum deflection (in m) of the beam at mid-span is __________.

A simply supported reinforced concrete beam of length $10$ m sags while undergoing shrinkage. Assuming a uniform curvature of $0.004 m^{-1}$ along the span, the maximum d...

100 points

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30

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 _______.

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...

100 points

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31

GATE2015-1-19
The two columns below show some parameters and their possible values. ... $P - I, Q - V, R - VI, S - II$ $P - III, Q - II, R - V, S - IV$

The two columns below show some parameters and their possible values.$\begin{array}{ll} \textbf{Parameter} & \textbf{Value} \\ P – \text{ Gross Command Area} & I – 10...

100 points

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32

GATE2015-1-34
For formation of $\textit{collapse mechanism}$ in the following figure, the minimum value of $P_u$ is $cM_p/L$. $M_p$ and $3M_p$ denote the plastic moment capacities of beam sections as shown in this figure. The value of $c$ is ________.

For formation of $\textit{collapse mechanism}$ in the following figure, the minimum value of $P_u$ is $cM_p/L$. $M_p$ and $3M_p$ denote the plastic moment capacities of b...

100 points

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33

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.

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...

100 points

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34

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

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 fi...

100 points

Chandanachandu recategorized May 28, 2021

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35

GATE2015-1-4
Workability of concrete can be measured using slump, compaction factor and Vebe time. Consider the following statements for workability of concrete. As the slump increases, the Vebe time increases As the slump increases, the compaction factor increases Which of the following is TRUE? Both (i) and ( ... (i) and (ii) are False (i) is True and (ii) is False (i) is False and (ii) is True

Workability of concrete can be measured using slump, compaction factor and Vebe time. Consider the following statements for workability of concrete.As the slump increases...

100 points

Chandanachandu recategorized May 27, 2021

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36

GATE2015-1-32
The bracket plate connected to a column flange transmits a load of $100$ kN as shown in the following figure. The maximum force for which the bolts should be designed is ______ kN.

The bracket plate connected to a column flange transmits a load of $100$ kN as shown in the following figure. The maximum force for which the bolts should be designed is ...

100 points

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37

GATE2016-2-10
A construction project consists of twelve activities. The estimated duration (in days) required to complete each of the activities along with the corresponding network diagram is shown below. ... $11-12$ for the project are, respectively, $25$ and $1$ $1$ nd $1$ $0$ and $0$ $81$ and $0$

A construction project consists of twelve activities. The estimated duration (in days) required to complete each of the activities along with the corresponding network di...

100 points

Chandanachandu edited May 27, 2021

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38

GATE2016-2-32
For the stress state (in MPa) shown in the figure, the major principal stress is $10$ MPa. The shear stress $\tau$ is $10.0$ MPa $5.0$ MPa $2.5$ MPa $0.0$ MPa

For the stress state (in MPa) shown in the figure, the major principal stress is $10$ MPa.The shear stress $\tau$ is$10.0$ MPa$5.0$ MPa$2.5$ MPa$0.0$ MPa

100 points

Chandanachandu recategorized May 27, 2021

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39

GATE2016-2-33
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)

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’ iszer...

100 points

Chandanachandu recategorized May 27, 2021

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40

GATE2016-2-34
Consider the structural system shown in the figure under the action of weight $W$. All the joints are hinged. The properties of the members in terms of length ($L$), area ($A$) and the modulus of elasticity ($E$) are also given in the figure. Let $L$, $A$ and $E$ ... $=0.0417 \: m$ Compressive force $=100 \: kN$; Stress $=1000 \; kN/m^2$; Extension $=0.0417 \: m$

Consider the structural system shown in the figure under the action of weight $W$. All the joints are hinged. The properties of the members in terms of length ($L$), area...

100 points

Chandanachandu recategorized May 27, 2021

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41

GATE2016-2-35
A haunched (varying depth) reinforced concrete beam is simply supported at both ends, as shown in the figure. The beam is subjected to a uniformly distributed factored load of intensity $10 \: kN/m$. The design shear force (expressed in $kN$) at the section X-X of the beam is ________

A haunched (varying depth) reinforced concrete beam is simply supported at both ends, as shown in the figure. The beam is subjected to a uniformly distributed factored lo...

100 points

Chandanachandu recategorized May 27, 2021

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42

GATE2016-2-39
The activity-on-arrow network of activities for a construction project is shown in the figure. The durations (expressed in days) of the activities are mentioned below in arrows. The critical duration for this construction project is $13$ days $14$ days $15$ days $16$ days

The activity-on-arrow network of activities for a construction project is shown in the figure. The durations (expressed in days) of the activities are mentioned below in ...

100 points

Chandanachandu edited May 27, 2021

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43

GATE2016-1-6
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 $V_B$, $H_B$ ... $V_B=P; \: H_B = P (\cos 60^{\circ}); \: V_C=0$

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...

100 points

Chandanachandu recategorized May 27, 2021

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44

GATE2016-1-7
In shear design of an RC beam, other than the allowable shear strength of concrete $( \tau _c)$, there is also an additional check suggested in IS $456-2000$ ... shear stress that comes from accidental loading possibility of failure of concrete by diagonal tension possibility of crushing of concrete by diagonal compression

In shear design of an RC beam, other than the allowable shear strength of concrete $( \tau _c)$, there is also an additional check suggested in IS $456-2000$ with respect...

100 points

Chandanachandu recategorized May 27, 2021

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45

GATE2016-1-9
Bull’s trench kiln is used in the manufacturing of lime cement bricks none of these

Bull’s trench kiln is used in the manufacturing oflimecementbricksnone of these

100 points

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46

GATE2016-1-10
The compound which is largely responsible for initial setting and early strength gain of Ordinary Portland Cement is $C_3A$ $C_3S$ $C_2S$ $C_4AF$

The compound which is largely responsible for initial setting and early strength gain of Ordinary Portland Cement is$C_3A$$C_3S$$C_2S$$C_4AF$

100 points

Chandanachandu recategorized May 27, 2021

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47

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

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 ...

100 points

Chandanachandu recategorized May 27, 2021

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48

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

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 Figur...

100 points

Chandanachandu recategorized May 27, 2021

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49

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

A plane truss with applied loads is shown in the figure.The members which do not carry any force areFT, TG, HU, MP, PLET, GS, UR, VR, QLFT, GS, HU, MP, QLMP, PL, HU, FT, ...

100 points

Chandanachandu edited May 27, 2021

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50

GATE2016-1-38
Two plates are connected by fillet welds of size $10$ mm and subjected to tension, as shown in the figure. The thickness of each plate is $12$ mm. The yield stress and the ultimate tensile stress of steel are $250$ MPa and $410$ MPa, respectively. The welding is done in the ... of each weld to transmit a force $P$ equal to $270$ kN (factored) is $90$ mm $105$ mm $100$ mm $115$ mm

Two plates are connected by fillet welds of size $10$ mm and subjected to tension, as shown in the figure. The thickness of each plate is $12$ mm. The yield stress and th...

100 points

Chandanachandu edited May 27, 2021

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