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121

GATE2014-1-10
A steel section is subjected to a combination of shear and bending actions. The applied shear force is $V$ and the shear capacity of the section is $V_s$. For such a section, high shear force (as per $IS : 800 – 2007$) is defined as $V>0.6V_s$ $V>0.7V_s$ $V>0.8V_s$ $V>0.9V_s$

A steel section is subjected to a combination of shear and bending actions. The applied shear force is $V$ and the shear capacity of the section is $V_s$. For such a sect...

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122

GATE2017 CE-2-3
Given that the scope of the construction work is well-defined with all its drawings, specifications, quantities and estimates, which one of the following of contract would be most preferred? EPC contract percentage rate contract Item rate contract Lump sum contract

Given that the scope of the construction work is well-defined with all its drawings, specifications, quantities and estimates, which one of the following of contract woul...

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123

GATE2016-1-34
A rigid member ACB is shown in the figure. The member is supported at A and B by pinned and guided roller supports, respectively. A force $\color{Red}{P}$ acts at $C$ as shown. Let $R_{Ah}$ and $R_{Bh}$ be the horizontal reactions at supports $A$ and $B$, respectively, and $R_{Av}$ be the ... $R_{Av}=P; \: R_{Bh} = \dfrac{1.5}{8}P; \text{ and } R_{Ah} = \dfrac{1.5}{8} P$

A rigid member ACB is shown in the figure. The member is supported at A and B by pinned and guided roller supports, respectively. A force $\color{Red}{P}$ acts at $C$ as ...

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124

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...

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125

GATE2015-1-9
For the beam shown below, the value of the support moment $M$ is _____ $kN-m$.

For the beam shown below, the value of the support moment $M$ is _____ $kN-m$.

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126

GATE2014-2-11
The modulus of elasticity, $E=5000 \sqrt{f_{ck}}$ where $f_{ck}$ is the characteristic compressive strength of concrete, specified in $IS:456-2000$ is based on tangent modulus initial tangent modulus secant modulus chord modulus

The modulus of elasticity, $E=5000 \sqrt{f_{ck}}$ where $f_{ck}$ is the characteristic compressive strength of concrete, specified in $IS:456-2000$ is based ontangent mod...

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127

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 ...

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128

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...

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129

GATE Civil 2012 | Question: 5
The following statements are related to bending of beams: The slope of the bending moment diagram is equal to the shear force. The slope of the shear force diagram is equal to the load intensity. The slope of the curvature is equal to the flexural ... The second derivative of the deflection is equal to the curvature. The only $\textbf{FALSE}$ statement is I II III IV

The following statements are related to bending of beams:The slope of the bending moment diagram is equal to the shear force.The slope of the shear force diagram is equal...

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130

GATE2015-1-10
Two triangular wedges are glued together as shown in the following figure. The stress acting normal to the interface, $\sigma_n$ is _______ MPa.

Two triangular wedges are glued together as shown in the following figure. The stress acting normal to the interface, $\sigma_n$ is _______ MPa.

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131

GATE Civil 2013 | Question: 33
A uniform beam weighing $1800 \: N$ is supported at E and F by cable ABCD. Determine the tension (in $N$) in segment AB of this cable (correct to $1$- decimal place). Assume the cables ABCD, BE and CF to be weightless. _______

A uniform beam weighing $1800 \: N$ is supported at E and F by cable ABCD. Determine the tension (in $N$) in segment AB of this cable (correct to $1$- decimal place). Ass...

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132

GATE2017 CE-1: 5
A simply supported beam is subjected to a uniformly distributed load. Which one of the following statements is true? Maximum or minimum shear force occurs where the curvature is zero Maximum or minimum bending moment occurs where the shear force is ... minimum bending moment occurs where the curvature is zero Maximum bending moment and maximum shear force occur at the same section

A simply supported beam is subjected to a uniformly distributed load. Which one of the following statements is true?Maximum or minimum shear force occurs where the curvat...

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133

GATE2017 CE-2-15
Let the characteristic strength be defined as that value, below which not more than $50 \%$ of the results are expected to fall. Assuming a standard deviation of $4$ MPa, the target mean strength (in MPa) to be considered in the mix design of a $M25$ concrete would be $18.42$ $21.00$ $25.00$ $31.58$

Let the characteristic strength be defined as that value, below which not more than $50 \%$ of the results are expected to fall. Assuming a standard deviation of $4$ MPa,...

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134

GATE2016-2-9
As per Indian standards for bricks, minimum acceptable compressive strength of any class of burnt clay bricks in dry state is $10.0 \text{ MPa}$ $7.5 \text{ MPa}$ $5.0 \text{ MPa}$ $3.5 \text{ MPa}$

As per Indian standards for bricks, minimum acceptable compressive strength of any class of burnt clay bricks in dry state is$10.0 \text{ MPa}$$7.5 \text{ MPa}$$5.0 \text...

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135

GATE Civil 2012 | Question: 12
Two series of compaction tests were performed in the laboratory on an inorganic clayey soil employing two different levels of compaction energy per unit volume of soil. With regards to the above tests, the following two statements are made. The optimum moisture content ... statements is Only I is TRUE Only II is TRUE Both I and II are TRUE Neither I nor II is TRUE

Two series of compaction tests were performed in the laboratory on an inorganic clayey soil employing two different levels of compaction energy per unit volume of soil. W...

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136

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 _________________

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 ________...

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137

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 _____________________

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 hor...

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138

GATE2018 CE-2: 22
A reinforced-concrete slab with effective depth of $80$ mm is simply supported at two opposite ends on $230$ mm thick masonry walls. The centre-to-centre distance between the walls is $3.3$ m. As per $\text{IS }456:2000$, the effective span of the slab (in m, up to two decimal places) is ________

A reinforced-concrete slab with effective depth of $80$ mm is simply supported at two opposite ends on $230$ mm thick masonry walls. The centre-to-centre distance between...

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gatecse asked Feb 17, 2018

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139

GATE2020-CE-1-43
The singly reinforced concrete beam section shown in the figure (not drawn to the scale) is made of $M25$ grade concrete and $Fe500$ grade reinforcing steel. The total cross-sectional area of the tension steel is $942\:mm^2$. As per Limit State Design IS $456:2000$, the design moment capacity (in $kN.m$, round off to two decimal places) of the beam section, is __________

The singly reinforced concrete beam section shown in the figure (not drawn to the scale) is made of $M25$ grade concrete and $Fe500$ grade reinforcing steel. The total cr...

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140

GATE2020-CE-1-13
A body floating in a liquid is in a stable state of equilibrium if its metacentre lies above its centre of gravity metacentre lies below its centre of gravity metacentre coincides with its centre of gravity centre of gravity is below its centre of buoyancy

A body floating in a liquid is in a stable state of equilibrium if its metacentre lies above its centre of gravitymetacentre lies below its centre of gravitymetacentre co...

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141

GATE2020-CE-1-29
A rigid weightless platform $\textbf{PQRS}$ shown in the figure ( not drawn to the scale) can slide freely in the vertical direction. The platform is held in position by the weightless member $\textbf{OJ}$ and four weightless, frictionless rollers. Points $\textbf{O}$ ... of horizontal component of the reaction ( in $kN$) at pin $\textbf{O}$, is $90$ $120$ $150$ $180$

A rigid weightless platform $\textbf{PQRS}$ shown in the figure ( not drawn to the scale) can slide freely in the vertical direction. The platform is held in position by ...

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142

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

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 r...

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go_editor asked Feb 13, 2020

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143

GATE2018 CE-1: 9
Two rectangular under-reinforced concrete beam sections X and Y are similar in all aspects except that the longitudinal compression reinforcement in section Y is $10 \%$ more. Which one of the following is the correct statement? Section X has less ... Y Sections X and Y have equal flexural strength but different ductility Sections X and Y have equal flexural strength and ductility

Two rectangular under-reinforced concrete beam sections X and Y are similar in all aspects except that the longitudinal compression reinforcement in section Y is $10 \%$ ...

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144

GATE2019 CE-1: 3
A simple mass-spring oscillatory system consists of a mass $m$, suspended from a spring of stiffness $k$. Considering $z$ as the displacement of the system at any time $t$, the equation of motion for the free vibration of the system is $m \ddot{z} + kz = 0$. The natural frequency of the system is $\dfrac{k}{m} \\$ $\sqrt{ \dfrac{k}{m}} \\$ $\dfrac{m}{k}\\$ $\sqrt{ \dfrac{m}{k}}$

A simple mass-spring oscillatory system consists of a mass $m$, suspended from a spring of stiffness $k$. Considering $z$ as the displacement of the system at any time $t...

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145

GATE2019 CE-1: 31
The cross-section of a built-up wooden beam as shown in the figure (not drawn to scale) is subjected to a vertical shear force of $8 \: kN$. The beam is symmetrical about the neural axis (N.A.) shown, and the moment of inertia about N.A. is $1.5 \times 10^9 \: mm^4$. ... , each of the nails at P will be subjected to the shear force of $60 \: N$ $120 \: N$ $240 \: N$ $480 \: N$

The cross-section of a built-up wooden beam as shown in the figure (not drawn to scale) is subjected to a vertical shear force of $8 \: kN$. The beam is symmetrical about...

Arjun

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146

GATE2016-2-6
The kinematic indeterminacy of the plane truss shown in the figure is $11$ $8$ $3$ $0$

The kinematic indeterminacy of the plane truss shown in the figure is$11$$8$$3$$0$

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147

GATE Civil 2013 | Question: 9
Two steel columns P (length $L$ and yield strength $f_y=250$ MPa) and Q (length $2L$ and yield strength $f_y=500$ MPa) have the same cross-sections and end-conditions. The ratio of buckling load of column P to that of column Q is $0.5$ $1.0$ $2.0$ $4.0$

Two steel columns P (length $L$ and yield strength $f_y=250$ MPa) and Q (length $2L$ and yield strength $f_y=500$ MPa) have the same cross-sections and end-conditions. Th...

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148

GATE2017 CE-1: 42
Consider two axially loaded columns, namely, $1$ and $2$, made of a linear elastic material with Young's modulus $2 \times 10^5$ MPa, square cross-section with side $10$ mm, and length $1$ m. For column $1$, one end is fixed and the other end is free ... 's theory, the ratio (up to one decimal place) of the buckling load of Column $2$ to the buckling load of Column $1$ is ________

Consider two axially loaded columns, namely, $1$ and $2$, made of a linear elastic material with Young’s modulus $2 \times 10^5$ MPa, square cross-section with side $10...

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149

GATE2018 CE-2: 31
A singly-reinforced rectangular concrete beam of width $30$ mm and effective depth $400$ mm is to be designed using $M25$ grade concrete and $Fe500$ grade reinforcing steel. For the beam to be under-reinforced, the maximum number of $16$ mm diameter reinforcing bars that can be provided is, $3$ $4$ $5$ $6$

A singly-reinforced rectangular concrete beam of width $30$ mm and effective depth $400$ mm is to be designed using $M25$ grade concrete and $Fe500$ grade reinforcing ste...

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150

GATE2018 CE-1: 41
An RCC beam of rectangular cross section has factored shear of $200$ kN at its critical section. Its width $b$ is $250$ mm and effective depth $d$ is $350$ mm. Assume design shear strength $\tau_c$ of concrete as $0.62 \: N/mm^2$ and maximum ... grade steel are used, then the required spacing (in cm, up to one decimal place) as per limit state method will be _____

An RCC beam of rectangular cross section has factored shear of $200$ kN at its critical section. Its width $b$ is $250$ mm and effective depth $d$ is $350$ mm. Assume des...

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151

GATE Civil 2021 Set 2 | Question: 28
A prismatic steel beam is shown in the figure. The plastic moment, $M_{P}$ calculated for the collapse mechanism using static method and kinematic method is $M_{P,static}> \frac{2PL}{9}=M_{P,kinematic}$ $M_{P,static}= \frac{2PL}{9}\neq M_{P,kinematic}$ $M_{P,static}= \frac{2PL}{9}= M_{P,kinematic}$ $M_{P,static}< \frac{2PL}{9}= M_{P,kinematic}$

A prismatic steel beam is shown in the figure.The plastic moment, $M_{P}$ calculated for the collapse mechanism using static method and kinematic method is$M_{P,static} \...

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152

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 _________

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 ...

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153

GATE2014-2-50
In a Marshall sample, the bulk specific gravity of mix and aggregates are $2.324$ and $2.546$ respectively. The sample includes $5 \%$ of bitumen (by total weight of mix) of specific gravity $1.10$. The theoretical maximum specific gravity of mix is $2.441$. The void filled with bitumen (VFB) in the Marshall sample (in $\%$) is _______

In a Marshall sample, the bulk specific gravity of mix and aggregates are $2.324$ and $2.546$ respectively. The sample includes $5 \%$ of bitumen (by total weight of mix)...

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154

GATE2015-1-31
The composition of an air-entrained concrete is given below: ... gravity of OPC, sand and coarse aggregate to be $3.14$, $2.67$, and $2.74$, respectively. The air content is ______ $liters/m^3$.

The composition of an air-entrained concrete is given below:$\begin{array}{lcr} \text{Water} & : & 184 \: kg/m^3 \\ \text{Ordinary Portland Cement (OPC)} & : & 368 \: kg/...

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155

GATE2016-1-35
A reinforced concrete (RC) beam with width of $250$ mm and effective depth of $400$ mm is reinforced with $Fe415$ steel. As per the provisions of $IS \: 456-2000$, the minimum and maximum amount of tensile reinforcement (expressed in $mm^2$) for the section are, respectively $250$ and $3500$ $205$ and $4000$ $270$ and $2000$ $300$ and $2500$

A reinforced concrete (RC) beam with width of $250$ mm and effective depth of $400$ mm is reinforced with $Fe415$ steel. As per the provisions of $IS \: 456-2000$, the mi...

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156

GATE2014-1-26
If the following equation establishes equilibrium in slightly bent position, the mid-span deflection of a member shown in the figure is $\frac{d^2y}{dx^2}+\frac{P}{EI}y=0$ If $a$ is amplitude constant for $y,$ then $y=\dfrac{1}{P} \bigg( 1- a \cos \dfrac{2 \pi x}{L} \bigg) \\$ ... $y= a \sin \dfrac{n \pi x}{L} \\$ $y= a \cos \dfrac{n \pi x}{L}$

If the following equation establishes equilibrium in slightly bent position, the mid-span deflection of a member shown in the figure is$$\frac{d^2y}{dx^2}+\frac{P}{EI}y=0...

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157

GATE Civil 2012 | Question: 35
Two plates are connected by filler welds of size $10$ mm and subjected to tension, as shown in the sketch. 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 ... mm) of each weld to transmit a force $P$ equal to $270$ kN is $100$ mm $105$ mm $110$ mm $115$ mm

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

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158

GATE2019 CE-2: 36
A long uniformly distributed load of $10 \: kN/m$ and a concentrated load of $60 \: kN$ are moving together on the beam ABCD shown in the figure (not drawn to scale). The relative positions of the two loads are not fixed. The maximum shear force (in $kN$, round off to the nearest integer) caused at the internal hinge B due to the two loads is _________

A long uniformly distributed load of $10 \: kN/m$ and a concentrated load of $60 \: kN$ are moving together on the beam ABCD shown in the figure (not drawn to scale). The...

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159

GATE2020-CE-1-8
During the process of hydration of cement, due to increase in Dicalcium Silicate $(C_2S)$ content in cement clinker, the heat of hydration increases decreases initially decreases and then increases does not change

During the process of hydration of cement, due to increase in Dicalcium Silicate $(C_2S)$ content in cement clinker, the heat of hydrationincreasesdecreasesinitially decr...

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160

GATE2017 CE-1: 6
According to $IS \: 456 - 2000$, which one of the following statements about the depth of neutral axis $x_{\text{u, bal}}$ for a balanced reinforced concrete section is correct? $x_{\text{u, bal}}$ ... both the grade of concrete and grade of steel $x_{\text{u, bal}}$ does not depend on the grade of concrete and grade of steel

According to $IS \: 456 – 2000$, which one of the following statements about the depth of neutral axis $x_{\text{u, bal}}$ for a balanced reinforced concrete section is...

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