If $$\left\{ x \right\}$$ is a continuous, real valued random variable defined over the interval $$\left( { - \infty ,\,

$$z = {{2 - 3i} \over { - 5 + i}}$$ can be expressed as

Water is following at a steady rate through a homogeneous and saturated horizontal soil strip of $$10$$m length. The str

The integrating factor for the differential equation $${{dP} \over {dt}} + {k_2}\,P = {k_1}{L_0}{e^{ - {k_1}t}}\,\,$$ i

A fair (unbiased) coin was tossed four times in succession and resulted in the following outcomes; (i) Head, (ii) Head,

An observer counts $$240$$veh/h at a specific highway location. Assume that the vehicle arrival at the location is Poiss

The expression $$\mathop {Lim}\limits_{a \to 0} \,{{{x^a} - 1} \over a}\,\,$$ is equal to

The rank of the matrix $$\left[ {\matrix{ 6 & 0 & 4 & 4 \cr { - 2} & {14} & 8 & {18} \c

The determinant of matrix $$\left[ {\matrix{ 0 & 1 & 2 & 3 \cr 1 & 0 & 3 & 0 \cr 2

The survey carried out to delineate natural features, such as hills, rivers, forests and manmade features, such as towns

A certain soil has the following properties: Gs = 2.71, n = 40% and w = 20%. The degree of saturation of the soil (round

The target mean strength fcm for concrete mix design obtained from the characteristic strength (fck) and standard deviat

The flexural tensile strength of M25 grade of concrete, in N/mm2, as per IS:456-2000 is __________.

The modulus of elasticity, E = 5000$$\sqrt{{\mathrm f}_\mathrm{ck}}$$ where fck is the characteristic compressive streng

The axial load (in $$kN$$) in the member $$PQ$$ for the arrangement/assembly shown in the figure given below is ________

The first moment of area about the axis of bending for a beam cross-section is

Polar moment of inertia $$\left( {{{\rm I}_p}} \right),$$ in $$c{m^4},$$ of a rectangular section having width, $$b=2$$

The beam of an overall depth $$250$$ $$mm$$ (shown below) is used in a building subjected to two different thermal envir

The values of axial stress $$\left( \sigma \right)$$ in $$kN/{m^2},$$ bending moment $$(M)$$ in $$kNm,$$ and shear forc

For the state of plane stress (in $$MPa$$) shown in the figure below, the maximum shear stress (in $$MPa$$) is ________

A prismatic beam (as shown below) has plastic moment capacity of $${{M_P}}$$, then the collapse load $$P$$ of the beam i

Considering the symmetry of a rigid frame as shown below, the magnitude of the bending moment (in $$kN$$-$$m$$) at $$P$$

The tension (in $$kN$$) in a $$10$$ $$m$$ long cable, shown in the figure, neglecting its self-weight is

The static indeterminacy of the two-span continuous beam with an internal hinge, shown below, is ______________.

A road is being designed for a speed of 110 km/hr on a horizontal curve with a super elevation of 8%. If the coefficient