Toe failure will occur invariably if inclination of slope–
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Solution
In homogeneous soil, When φ > 3°, the critical slip circle is invariably through the toe.But for inclination of slope exceeding 53°,the critical slip circle will pass through toe, irrespective of value of f.
Prying forces can be reduced by 1.decreasing the end distance 2.Increasing the end distance 3.Increasing the distance of the bolt from half the root radius for a rolled section.of the above,
Lateral support in case of a steel beam can be achieved by 1.Embedding its compression flange in a reinforced brick slab.2.Bracing the compression flanges of adjacent beams 3.Providing shear connectors on compression flange.of the above statements
Match List I (Type of transition curve) with List II(Characteristics) and select the correct answer using codes.
List I List II
A. Clothoid 1.sin φ = φ
B.Cubic spiral 2.x co–ordinate =l,cos φ = 1
C.Cubic parabola 3.Ideal curve
The critical velocity for a flow of q m3/sec/m width of a wide rectangular channel is given by
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Solution
Consider the different equation dx⁄dt= 10 – 0.2x with initial condition x(0) = 1. The response x(t) fort > 0 is
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Solution
The value of the integral \(\int_{-\infty }^{\infty}12\: cos(2\pi t)\frac{sin(4\pi t)}{4\pi t}dt\) is _____.
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The state variable representation of a system is given as
\(x=\begin{bmatrix} 0 & 1 \\ 0 & -1 \end{bmatrix}\)y =[0 1] x
The response y(t) is
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Solution
The matrix A = \(\begin{bmatrix} a & 0 & 3 & 7 \\ 2 & 5 & 1 & 3 \\ 0 & 0 & 2 & 4 \\ 0 & 0 & 0 & b \end{bmatrix}\) has det(A) = 100 and trace
(A) = 14.
The value of |a – b| is _______
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