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1126
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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1127
GATE2015-1-8
The development length of a deformed reinforcement bar can be expressed as $(1/k) (\phi \sigma_s / \tau_{bd})$. From the $IS: 456 – 2000$, the value of $k$ can be calculated as _______
The development length of a deformed reinforcement bar can be expressed as $(1/k) (\phi \sigma_s / \tau_{bd})$. From the $IS: 456 – 2000$, the value of $k$ can be calcu...
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1128
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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1129
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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1138
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...
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1144
GATE2015-1-25
In a closed loop traverse of $1$ km total length, the closing errors in departure and latitude are $0.3$ m and $0.4$ m, respectively. The relative precision of this traverse will be: $1:5000$ $1:4000$ $1:3000$ $1:2000$
In a closed loop traverse of $1$ km total length, the closing errors in departure and latitude are $0.3$ m and $0.4$ m, respectively. The relative precision of this trave...
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1145
GATE2015-1-26
The smallest and largest Eigen values of the following matrix are: $\begin{bmatrix} 3 & -2 & 2 \\ 4 & -4 & 6 \\ 2 & -3 & 5 \end{bmatrix}$ $1.5$ and $2.5$ $0.5$ and $2.5$ $1.0$ and $3.0$ $1.0$ and $2.0$
The smallest and largest Eigen values of the following matrix are:$\begin{bmatrix} 3 & -2 & 2 \\ 4 & -4 & 6 \\ 2 & -3 & 5 \end{bmatrix}$$1.5$ and $2.5$$0.5$ and $2.5$$1.0...
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1148
GATE2015-1-29
Consider the following complex function: $f(z) = \frac{9}{(z-1)(z+2)^2}$ Which of the following is one of the residues of the above function? $-1$ $9/16$ $2$ $9$
Consider the following complex function:$$f(z) = \frac{9}{(z-1)(z+2)^2}$$Which of the following is one of the residues of the above function?$-1$$9/16$$2$$9$
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1149
GATE2015-1-30
The directional derivative of the field $u(x,y,z) = x^2-3yz$ in the direction of the vector $(\hat{i}+\hat{j}-2 \hat{k})$ at point $(2, -1, 4)$ is _________.
The directional derivative of the field $u(x,y,z) = x^2-3yz$ in the direction of the vector $(\hat{i}+\hat{j}-2 \hat{k})$ at point $(2, -1, 4)$ is _________.
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1150
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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1151
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 ...
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1155
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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1156
GATE2015-1-37
For the $2D$ truss with the applied loads shown below, the strain energy in the member $XY$ is _____ kN-m. For member $XY$, assume $AE=30$ kN, where $A$ is cross-section area and $E$ is the modulus of elasticity.
For the $2D$ truss with the applied loads shown below, the strain energy in the member $XY$ is _____ kN-m. For member $XY$, assume $AE=30$ kN, where $A$ is cross-section ...
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