Most answered questions in Structural Engineering / GO Civil

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121

GATE2016-1-8
The semi-compact section of a laterally unsupported steel beam has an elastic section modulus, plastic section modulus and design bending compressive stress of $500 \: cm^3$, $650 \: cm^3$ and $200 \: MPa$, respectively. The design flexural capacity (expressed in kNm) of the section is ________

The semi-compact section of a laterally unsupported steel beam has an elastic section modulus, plastic section modulus and design bending compressive stress of $500 \: cm...

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122

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

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123

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$

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124

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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125

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...

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126

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, ...

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127

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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128

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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129

GATE2016-1-36
For $M25$ concrete with creep coefficient of $1.5$, the long-term static modulus of elasticity (expressed in MPa) as per the provisions of $IS:456-2000$ is _____

For $M25$ concrete with creep coefficient of $1.5$, the long-term static modulus of elasticity (expressed in MPa) as per the provisions of $IS:456-2000$ is _____

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130

GATE2016-1-37
A propped cantilever of span $L$ carries a vertical concentrated load at the mid-span. If the plastic moment capacity of the section is $M_p$, the magnitude of the collapse load is $\dfrac{8M_p}{L} \\$ $\dfrac{6M_p}{L} \\$ $\dfrac{4M_p}{L} \\$ $\dfrac{2M_p}{L}$

A propped cantilever of span $L$ carries a vertical concentrated load at the mid-span. If the plastic moment capacity of the section is $M_p$, the magnitude of the collap...

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131

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...

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132

GATE2016-1-39
The Optimistic Time (O), Most likely Time (M) and Pessimistic Time (P) (in days) of the activities in the critical path are given below in the format O – M – P. The expected completion time (in days) of the project is ________

The Optimistic Time (O), Most likely Time (M) and Pessimistic Time (P) (in days) of the activities in the critical path are given below in the format O – M – P.The ex...

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133

GATE2016-1-45
A concrete gravity dam section is shown in the figure. Assuming unit weight of water as $10 \: kN/m^3$ and unit weight of concrete as $24 \: kN/m^3$, the uplift force per unit length of the dam (expressed in kN/m) at $\color{red}{PQ}$ is _____

A concrete gravity dam section is shown in the figure. Assuming unit weight of water as $10 \: kN/m^3$ and unit weight of concrete as $24 \: kN/m^3$, the uplift force per...

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134

GATE2017 CE-1: 4
An elastic bar of length $L$, uniform cross sectional area $A$, coefficient of thermal expansion $\alpha$, and Young's modulus $E$ is fixed at the two ends. The temperature of the bar is increased by $T$, resulting in an axial stress $\sigma$. Keeping all other parameters unchanged ... , the axial stress would be $\sigma$ $2 \: \sigma$ $0.5 \: \sigma$ $0.25 \: \alpha \: \sigma$

An elastic bar of length $L$, uniform cross sectional area $A$, coefficient of thermal expansion $\alpha$, and Young’s modulus $E$ is fixed at the two ends. The tempera...

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135

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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136

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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137

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 $\dfrac{qL^2}{10}$

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...

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138

GATE2017 CE-1: 29
A planar truss tower structure is shown in the figure. Consider the following statements about the external and internal determinacies of the truss. Externally Determinate External Static Indeterminacy $=1$ External Static Indeterminacy $=2$ Internally Determinate Internal Static Indeterminacy $=1$ ... S-False; T-False; U- True P-True; Q- True; R-False; S-True; T-False; U- True

A planar truss tower structure is shown in the figure.Consider the following statements about the external and internal determinacies of the truss.Externally DeterminateE...

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139

GATE2017 CE-1: 38
A pre-tensioned rectangular concrete beam $150$ mm wide and $300$ mm depth is prestressed with three straight tendons, each having a cross-sectional are of $50 \: mm^2$, to an initial stress of $1200 \: N/mm^2$. The tendons are located at $100$ ... is $6$, the loss of prestressing force (in kN, up to one decimal place) due to the elastic deformation of concrete only is _________.

A pre-tensioned rectangular concrete beam $150$ mm wide and $300$ mm depth is prestressed with three straight tendons, each having a cross-sectional are of $50 \: mm^2$, ...

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140

GATE2017 CE-1: 39
Consider the stepped bar made with a linear elastic material and subjected to an axial load of $1$ kN, as shown in the figure. Segments $1$ and $2$ have cross-sectional area of $100 \: mm^2$ and $60 \: mm^2$, Young's modulus of $2 \times 10^5$ MPa ... mm and $900$ mm, respectively. The strain energy (in N-mm, up to one decimal place) in the bar due to the axial load is __________

Consider the stepped bar made with a linear elastic material and subjected to an axial load of $1$ kN, as shown in the figure.Segments $1$ and $2$ have cross-sectional ar...

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141

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 _________.

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 _________.

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142

GATE2017 CE-1: 41
Consider the beam ABCD shown in the figure. For a moving concentrated load of $50$ kN on the beam, the magnitude of the maximum bending moment (in kN-m) obtained at the support C will be equal to ________.

Consider the beam ABCD shown in the figure.For a moving concentrated load of $50$ kN on the beam, the magnitude of the maximum bending moment (in kN-m) obtained at the su...

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143

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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144

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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145

GATE2017 CE-1: 44
A particle of mass $2$ kg is travelling at a velocity of $1.5$ m/s. A force $f(t) = 3t^2$ (in N) is applied to it in the direction of motion for a duration of $2$ seconds, where $t$ denotes time in seconds. The velocity (in m/s, up to one decimal place) of the particle immediately after the removal of the force is _______.

A particle of mass $2$ kg is travelling at a velocity of $1.5$ m/s. A force $f(t) = 3t^2$ (in N) is applied to it in the direction of motion for a duration of $2$ seconds...

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146

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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147

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 _________

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148

GATE2015-2-7
For the plane stress situation shown in the figure, the maximum shear stress and the plane on which it acts are: $-50$ MPa, on a plane $45^{\circ}$ clockwise w.r.t. $x$-axis $-50$ MPa, on a plane $45^{\circ}$ anti-clockwise w.r.t. $x$-axis $50$ MPa at all orientations Zero, at all orientations

For the plane stress situation shown in the figure, the maximum shear stress and the plane on which it acts are:$-50$ MPa, on a plane $45^{\circ}$ clockwise w.r.t. $x$-ax...

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149

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...

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150

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...

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151

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...

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152

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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153

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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154

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...

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155

GATE2015-2-32
A steel strip of length $L=200$ mm is fixed at end $A$ and rests at $B$ on a vertical spring of stiffness, $k=2 \: N/mm$. The steel strip is $5$ mm wide and $10$ mm thick. A vertical load, $P=50$ N is applied at $B$, as shown in the figure. Considering $E=200$ GPa, the force (in N) developed in the spring is ________.

A steel strip of length $L=200$ mm is fixed at end $A$ and rests at $B$ on a vertical spring of stiffness, $k=2 \: N/mm$. The steel strip is $5$ mm wide and $10$ mm thick...

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156

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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157

GATE2015-2-34
According to the concept of Limit State Design as per $IS \: 456:2000$, the probability of failure of a structure is ______.

According to the concept of Limit State Design as per $IS \: 456:2000$, the probability of failure of a structure is ______.

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158

GATE2015-2-35
In a pre-stressed concrete beam section shown in the figure, the net loss is $10 \%$ and the final pre-stressing force applied at $X$ is $750$ kN. The initial fiber stresses (in $N/mm^2$) at the top and bottom of the beam were: $4.166$ and $20.833$ $ – 4.166$ and $ – 20.833$ $4.166$ and $ – 20.833$ $ – 4.166$ and $20.833$

In a pre-stressed concrete beam section shown in the figure, the net loss is $10 \%$ and the final pre-stressing force applied at $X$ is $750$ kN. The initial fiber stres...

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159

GATE2015-2-36
A fixed end beam is subjected to a load, W at $1/3$ rd span from the left support as shown in the figure. The collapse load of the beam is: $16.5 M_p/L$ $15.5 M_p/L$ $15.0 M_p/L$ $16.0 M_p/L$

A fixed end beam is subjected to a load, W at $1/3$ rd span from the left support as shown in the figure. The collapse load of the beam is:$16.5 M_p/L$$15.5 M_p/L$$15.0 M...

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160

GATE2015-2-40
Stress path equation for tri-axial test upon application of deviatoric stress is, $q=10 \sqrt{3}+0.5p$. The respective values of cohesion, $c$ (in kPa) and angle of internal friction, $\phi$ are: $20$ and $20^{\circ}$ $20$ and $30^{\circ}$ $30$ and $30^{\circ}$ $30$ and $20^{\circ}$

Stress path equation for tri-axial test upon application of deviatoric stress is, $q=10 \sqrt{3}+0.5p$. The respective values of cohesion, $c$ (in kPa) and angle of inter...

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