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81

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 $5$ $10$ $15$ $20$

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 $N$. Contin...

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82

GATE2017 CE-1: 43
A column is subjected to a load through a bracket as shown in the figure. The resultant force (in kN, up to one decimal place) in the bolt $1$ is _______

A column is subjected to a load through a bracket as shown in the figure.The resultant force (in kN, up to one decimal place) in the bolt $1$ is _______

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83

GATE2018 CE-2: 6
A structural member subjected to compression, has both translation and rotation restrained at one end, while only translation is restrained at the other end. As per $\text{IS }456:2000$, the effective length factor recommended for design is $0.50$ $0.65$ $0.70$ $0.80$

A structural member subjected to compression, has both translation and rotation restrained at one end, while only translation is restrained at the other end. As per $\tex...

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84

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 __________

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...

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85

GATE2017 CE-2-30
Group I gives a list of test methods and test apparatus for evaluating some of the properties of Ordinary Portland Cement (OPC) and concrete. Group II gives the list of these properties. ... $P - 4; Q - 2; R - 4; S - 1$ $P - 1; Q - 4; R - 2; S - 3$

Group I gives a list of test methods and test apparatus for evaluating some of the properties of Ordinary Portland Cement (OPC) and concrete. Group II gives the list of t...

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86

GATE2015-2-30
In a system, two connected rigid bars $AC$ and $BC$ are identical length, $L$ with pin supports at $A$ and $B$. The bars are interconnected at $C$ by a frictionless hinge. The rotation of the hinge is restrained by a rotational spring of stiffness, $k$. The system initially assumes a straight ... at $C$ is: $\dfrac{PL}{4k} \\$ $\dfrac{PL}{2k} \\$ $\dfrac{P}{4k} \\$ $\dfrac{Pk}{4L}$

In a system, two connected rigid bars $AC$ and $BC$ are identical length, $L$ with pin supports at $A$ and $B$. The bars are interconnected at $C$ by a frictionless hinge...

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87

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...

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88

GATE Civil 2013 | Question: 5
As per $IS \: 800:2007$, the cross-section in which the extreme fiber can reach the yield stress, but cannot develop the plastic moment of resistance due to failure by local buckling is classified as plastic section compact section semi-compact section slender section

As per $IS \: 800:2007$, the cross-section in which the extreme fiber can reach the yield stress, but cannot develop the plastic moment of resistance due to failure by lo...

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89

GATE2015-2-11
A steel member $’ M’$ has reversal of stress due to live loads, whereas another member $’N’$ has reversal of stress due to wind load. As per $IS \: 800: 2007$, the maximum slenderness ratio permitted is: less for member $’ M’$ than that of member $’ N’$ more for member $’ M’$ than that of member $’N’$ same for both members not specified in the Code

A steel member $’ M’$ has reversal of stress due to live loads, whereas another member $’N’$ has reversal of stress due to wind load. As per $IS \: 800: 2007$, th...

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90

GATE2018 CE-2: 29
Two rigid bodies of mass $5$ kg and $4$ kg are at rest on a frictionless surface until acted upon by a force of $36$ N as shown in the figure. The contact force generated between the two bodies is $4.0$ N $7.2$ N $9.0$ N $16.0$ N

Two rigid bodies of mass $5$ kg and $4$ kg are at rest on a frictionless surface until acted upon by a force of $36$ N as shown in the figure. The contact force generated...

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91

GATE Civil 2021 Set 2 | Question: 37
An elevated cylindrical water storage tank is shown in the figure. The tank has inner diameter of $\text{1.5 m}$. It is supported on a solid steel circular column of diameter $\text{75 mm}$ and total height $\text{(L)}$ of $\text{4m}$ ... $\text{(h)}$ of the water permissible (in $\text{m}$, $\textit{round off to one decimal place}$) is ________________________

An elevated cylindrical water storage tank is shown in the figure. The tank has inner diameter of $\text{1.5 m}$. It is supported on a solid steel circular column of diam...

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92

GATE Civil 2021 Set 1 | Question: 30
Contractor $\text{X}$ is developing his bidding strategy against Contractor $\text{Y}$. The ratio of $\text{Y's}$ bid price to $\text{X's}$ cost for the $30$ previous bids in which Contractor $\text{X}$ has competed against Contractor $\text{Y}$ is given in the ... is $0\%$ more than $0\%$ but less than $50\%$ more than $50\%$ but less than $100\%$ $100\%$

Contractor $\text{X}$ is developing his bidding strategy against Contractor $\text{Y}$. The ratio of $\text{Y’s}$ bid price to $\text{X’s}$ cost for the $30$ previous...

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93

GATE2019 CE-2: 21
The characteristic compressive strength of concrete required in a project is $25 \: MPa$ and the standard deviation in the observed compressive strength expected at site is $4 \: MPa$. The average compressive strength of cubes tested at different water-cement (w/c) ... The water-cement ratio (in percent, round off to the lower integer) to be used in the mix is ______

The characteristic compressive strength of concrete required in a project is $25 \: MPa$ and the standard deviation in the observed compressive strength expected at site ...

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94

GATE Civil 2013 | Question: 49
A propped cantilever made of a prismatic steel beam is subjected to a concentrated load P at mid span as shown. If the magnitude of load $P$ is increased till collapse and the plastic moment carrying capacity of steel beam section is $90$ kNm, determine reaction $R$ (in kN) (correct to $1$-decimal place) using plastic analysis _______

A propped cantilever made of a prismatic steel beam is subjected to a concentrated load P at mid span as shown.If the magnitude of load $P$ is increased till collapse and...

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95

GATE2014-2-46
A suspension of sand like particles in water with particles of diameter $0.10$ mm and below is flowing into a settling tank at $0.10 \: m^3/s$. Assume $g=9.81 \: m/s^2$, specific gravity of particles $=2.65$ ... are (in $m^2$) required for this settling tank to remove particles of size $0.06$ mm and above with $100 \%$ efficiency is ___________

A suspension of sand like particles in water with particles of diameter $0.10$ mm and below is flowing into a settling tank at $0.10 \: m^3/s$. Assume $g=9.81 \: m/s^2$, ...

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96

GATE Civil 2021 Set 2 | Question: 29
A frame $\text{EFG}$ is shown in the figure. All members are prismatic and have equal flexural rigidity. The member $\text{FG}$ carries a uniformly distributed load $\text{w}$ per unit length. Axial deformation of any member is neglected. Considering the joint $\text{F}$ being ... $\text{0.375 wL}$ $\text{0.453 wL}$ $\text{0.482 wL}$ $\text{0.500 wL}$

A frame $\text{EFG}$ is shown in the figure. All members are prismatic and have equal flexural rigidity. The member $\text{FG}$ carries a uniformly distributed load $\tex...

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97

GATE Civil 2021 Set 1 | Question: 6
The direct and indirect costs estimated by a contractor for bidding a project is $₹160000$ and $₹20000$ respectively. If the mark up applied is $10\%$ of the bid price, the quoted price (in ₹) of the contractor is $200000$ $198000$ $196000$ $182000$

The direct and indirect costs estimated by a contractor for bidding a project is $₹160000$ and $₹20000$ respectively. If the mark up applied is $10\%$ of the bid pric...

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98

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 ____________

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 ...

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99

GATE Civil 2013 | Question: 44
Elevation and temperature data for a place are tabulated below: $\begin{array}{|c|c|} \hline \text{Elevation, m} & \text{Temperature, } ^{\circ}C \\ \hline 4 & 21.25 \\ \hline 444 & 15.70 \\ \hline \end{array}$ Based on the above data, lapse rate can be referred as Super-adiabatic Neutral Sub-adiabatic Inversion

Elevation and temperature data for a place are tabulated below:$$\begin{array}{|c|c|} \hline \text{Elevation, m} & \text{Temperature, } ^{\circ}C \\ \hline 4 & 21.25 \\ \...

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100

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 ...

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101

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...

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102

GATE Civil 2021 Set 2 | Question: 43
An equipment has been purchased at an initial cost of $₹ 160000$ and has an estimated salvage value of $₹ 10000$. The equipment has an estimated life of $5$ years. The difference between the book values (in ₹, $\textit{in integer}$) ... at the end of $4^{\text{th}}$ year using straight line method and sum of years digit method of depreciation is______________

An equipment has been purchased at an initial cost of $₹ 160000$ and has an estimated salvage value of $₹ 10000$. The equipment has an estimated life of $5$ years. Th...

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103

GATE2020-CE-1-19
A planar elastic structure is subjected to uniformly distributed load, as shown in the figure (not drawn to the scale) Neglecting self-weight, the maximum bending moment generated in the structure (in $kN.m$, round off to the nearest integer), is _______.

A planar elastic structure is subjected to uniformly distributed load, as shown in the figure (not drawn to the scale)Neglecting self-weight, the maximum bending moment g...

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104

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

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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105

GATE Civil 2013 | Question: 35
A rectangular concrete beam $250$ mm wide and $600$ mm deep is pre-stressed by means of $16$ high tensile wires, each of $7$ mm diameter, located at $200$ mm from the bottom face of the beamat a given section. If the effective pre- ... beam can with stand without causing tensile stress at the bottom face of of the beam? Neglect the effect of dead load of beam ______

A rectangular concrete beam $250$ mm wide and $600$ mm deep is pre-stressed by means of $16$ high tensile wires, each of $7$ mm diameter, located at $200$ mm from the bot...

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106

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...

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107

GATE2018 CE-1: 29
A plate in equilibrium is subjected to uniform stresses along its edges with magnitude $\sigma_{xx} = 30 MPa$ and $\sigma_{yy} = 50 MPa$ as shown in the figure. The Young's modulus of the material is $2 \times 10^{11} \: N/m^2$ and the Poisson's ratio is $0.3$. If ... then the strain $\varepsilon_{zz}$ $-120 \times 10^{-6}$ $-60 \times 10^{-6}$ $0.0$ $120 \times 10^{-6}$

A plate in equilibrium is subjected to uniform stresses along its edges with magnitude $\sigma_{xx} = 30 MPa$ and $\sigma_{yy} = 50 MPa$ as shown in the figure.The Young'...

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108

GATE2019 CE-1: 48
Tie bars of $12 \: mm$ diameter are to be provided in a concrete pavement slab. The working tensile stress of the tie bars is $230 \: MPa$, the average bond strength between a tie bar and concrete is $2 \: MPa$, and the joint gap between the slabs ... loss of bond and the tolerance factor, the design length of the tie bars (in $mm$, round off to the nearest integer) is ________

Tie bars of $12 \: mm$ diameter are to be provided in a concrete pavement slab. The working tensile stress of the tie bars is $230 \: MPa$, the average bond strength betw...

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109

GATE2017 CE-1: 45
The activity details of a project are given below: ... The estimated minimum time (in days) for the completion of the project will be __________

The activity details of a project are given below:$$\begin{array}{|c|c|c|} \hline \text{Activity} & \text{Depends on} & \text{Duration (in days)} \\ \hline P & \dots & 6 ...

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110

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 ______

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...

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111

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...

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112

GATE2015-1-36
Two beams are connected by a linear spring as shown in the following figure. For a load $P$ as shown in the figure, the percentage of the applied load $P$ carried by the spring is _________.

Two beams are connected by a linear spring as shown in the following figure. For a load $P$ as shown in the figure, the percentage of the applied load $P$ carried by the ...

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113

GATE Civil 2013 | Question: 4
Maximum possible value of Compacting Factor for fresh (green) concrete is $0.5$ $1.0$ $1.5$ $2.0$

Maximum possible value of Compacting Factor for fresh (green) concrete is$0.5$$1.0$$1.5$$2.0$

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114

GATE2020 CE-2-51
A concrete dam holds $10\: m$ of static water as shown in the figure (not drawn to the scale). The uplift is assumed to vary linearly from full hydrostatic head at the heel, to zero at the toe of the dam. The coefficient of friction between the dam ... , respectively. For NO sliding condition, the required minimum base width $B$ (in $m$ round off to two decimal places) is ________.

A concrete dam holds $10\: m$ of static water as shown in the figure (not drawn to the scale). The uplift is assumed to vary linearly from full hydrostatic head at the he...

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115

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...

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116

GATE2018 CE-1: 5
A steel column of ISHB $350$ @$72.4$ kg/m is subjected to a factored axial compressive load of $2000$ kN. The load is transferred to a concrete pedestal of grade $M20$ through a square base plate. Consider bearing strength of concrete as $0.45f_{ck}$, where $f_{ck}$ ... plate and steel column, the length of a side of the base plate to be provided is $39$ cm $42$ cm $45$ cm $48$ cm

A steel column of ISHB $350$ @$72.4$ kg/m is subjected to a factored axial compressive load of $2000$ kN. The load is transferred to a concrete pedestal of grade $M20$ th...

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117

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...

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118

GATE2018 CE-1: 18
The frequency distribution of the compressive strength of $20$ ... $20$) with compressive strength less than $\mu - 3 \sigma$ is ____

The frequency distribution of the compressive strength of $20$ concrete cube specimen is given in the table.$$\begin{array}{|c|c|} \hline f \text{ (MPa)} & \text{Number o...

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119

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 ___________

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 vert...

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120

GATE Civil 2012 | Question: 33
A concrete beam prestressed with a parabolic tendon is shown in the sketch. The eccentricity of the tendon is measured from the centroid of the cross-section. The applied prestressing force at service is $1620$ kN. The uniformly distributed load of $45$ kN/m ... in the bottom fibre at mid-span is tensile $2.90$ compressive $2.90$ tensile $4.32$ compressive $4.32$

A concrete beam prestressed with a parabolic tendon is shown in the sketch. The eccentricity of the tendon is measured from the centroid of the cross-section. The applied...

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