GATE Engineering - Civil Engineering (CE)

RCC, Soil Mechanics, Hydrology & Highway Engineering question bank (Structural, Geotechnical & Environmental Engineering)

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Q1.

Structural Analysis: What is the kinematic indeterminacy ($KI$ or degree of freedom) of a plane rigid frame with $j$ joints, $m$ members, and $r$ support reactions neglecting axial deformations in 'Structural Analysis: Statically Determinate and Indeterminate Trusses, Arches, Moment Distribution'?

(A)

$KI = 3j - r - m$ (Structural Analysis: Statically Determinate and Indeterminate Trusses, Arches, Moment Distribution)

(B)

$KI = 3j - r$ (with axial deformation)

(C)

$KI = 2j - r$

(D)

$KI = 3m - 3j$

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Q2.

Hydraulics & Open Channel Flow: In a wide rectangular channel with flow depth $y$ and velocity $V$ in 'Structural Analysis: Statically Determinate and Indeterminate Trusses, Arches, Moment Distribution', what is the critical depth $y_c$ in terms of discharge per unit width $q$ and gravity $g$?

(A)

$y_c = \left(\frac{q^2}{g}\right)^{1/3}$ (Structural Analysis: Statically Determinate and Indeterminate Trusses, Arches, Moment Distribution)

(B)

$y_c = \frac{{q^2}}{{2g}}$

(C)

$y_c = \sqrt{{\frac{{q}}{{g}}}}$

(D)

$y_c = \frac{{V^2}}{{2g}}$

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