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1561

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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gatecse asked Feb 17, 2018

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1562

GATE2018 CE-1: 4
A column of height $h$ with a rectangular cross-section of size $a \times 2a$ has a buckling load of $P$. If the cross-section is changed to $0.5 a \times 3a$ and its height changed to 1.5$h$, the buckling load of the redesigned column will be $P/12$ $P/4$ $P/2$ $3P/4$

A column of height $h$ with a rectangular cross-section of size $a \times 2a$ has a buckling load of $P$. If the cross-section is changed to $0.5 a \times 3a$ and its hei...

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gatecse asked Feb 17, 2018

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1563

GATE2018 CE-1: 3
At the point $x= 0$, the function $f(x) = x^3$ has local maximum local minimum both local maximum and minimum neither local maximum nor local minimum

At the point $x= 0$, the function $f(x) = x^3$ haslocal maximumlocal minimumboth local maximum and minimumneither local maximum nor local minimum

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gatecse asked Feb 17, 2018

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1564

GATE2018 CE-1: 2
For the given orthogonal matrix Q, $Q = \begin{bmatrix} 3/7 & 2/7 & 6/7 \\ -6/7 & 3/7 & 2/7 \\ 2/7 & 6/7 & -3/7 \end{bmatrix}$ ... $\begin{bmatrix} -3/7 & 6/7 & -2/7 \\ -2/7 & -3/7 & -6/7 \\ -6/7 & -2/7 & 3/7 \end{bmatrix}$

For the given orthogonal matrix Q, $Q = \begin{bmatrix} 3/7 & 2/7 & 6/7 \\ -6/7 & 3/7 & 2/7 \\ 2/7 & 6/7 & -3/7 \end{bmatrix}$ The inverse is$\begin{bmatrix} 3/7 & 2/7 &...

gatecse

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gatecse asked Feb 17, 2018

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1565

GATE2018 CE-1: 1
Which one of the following matrices is singular? $\begin{bmatrix} 2 & 5 \\ 1 & 3 \end{bmatrix} \\$ $\begin{bmatrix} 3 & 2 \\ 2 & 3 \end{bmatrix} \\$ $\begin{bmatrix} 2 & 4\\ 3 & 6 \end{bmatrix} \\$ $\begin{bmatrix} 4 & 3\\ 6 & 2 \end{bmatrix}$

Which one of the following matrices is singular?$\begin{bmatrix} 2 & 5 \\ 1 & 3 \end{bmatrix} \\$$\begin{bmatrix} 3 & 2 \\ 2 & 3 \end{bmatrix} \\$$\begin{bmatrix} 2 & 4\\...

gatecse

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gatecse asked Feb 17, 2018