The product of matrices $${\left( {PQ} \right)^{ - 1}}P$$ is

The eigenvalues of the matrix $$\left[ P \right] = \left[ {\matrix{ 4 & 5 \cr 2 & { - 5} \cr } } \ri

The following system of equations $$$x+y+z=3,$$$ $$$x+2y+3z=4,$$$ $$$x+4y+kz=6$$$ will not have a unique solution for $

Three values of $$x$$ and $$y$$ are to be fitted in a straight line in the form $$y=a+bx$$ by the method of least square

If the interval of integration is divided into two equal intervals of width $$1.0,$$ the value of the definite integral

The Newton-Raphson iteration $${x_{n + 1}} = {1 \over 2}\left( {{x_n} + {R \over {{x_n}}}} \right)$$ can be used to comp

A wastewater sample contains $$10^{-5.6}$$ mol/l of OH- ions at $$25^o$$ C. The pH of this sample is

The type of surveying in which the curvature of the earth is taken into account is called

An outlet irrigates an area of 20 ha. The discharge (lit/sec) required at this outlet to meet the evapotranspiration req

The base width of an elementary profile of gravity dam of height H is b. The specific gravity of the material of the dam

A reinforced concrete structure has to be constructed along a sea coast. The minimum grade of concrete to be used as per

Un-factored maximum bending moments at a section of a reinforced concrete beam resulting from a frame analysis are 50, 8

A reinforced concrete beam of rectangular cross section of breadth $$230$$ $$mm$$ and effective depth $$400$$ $$mm$$ is

A reinforced concrete beam of rectangular cross section of breadth $$230$$ $$mm$$ and effective depth $$400$$ $$mm$$ is

A reinforced concrete column contains longitudinal steel equal to $$1$$ percent of net cross-sectional area of the colum

In the design of a reinforced concrete bean the requirement for bond is not getting satisfied. The economical option to

A pre-tensioned concrete member of section $$200\,\,mm \times 250\,\,mm$$ contains tendons of area $$500\,\,m{m^2}$$ at

Rivets and bolts subjected to both shear stress $$\left( {{\tau _{vf}},\,cal} \right)$$ and axial tensile stress $$\left

The maximum shear stress in a solid shaft of circular cross-section having diameter subjected to a torque $$T$$ is $$\ta

The stepped cantilever is subjected to moments, $$M$$ as shown in the figure below. The vertical deflection at the free

Beam $$GHI$$ is supported by these pontoons as shown in the figure below. The horizontal cross sectional area of each po

Beam $$GHI$$ is supported by these pontoons as shown in the figure below. The horizontal cross sectional area of each po

A thin walled cylindrical pressure vessel having a radius of $$0.5$$ $$m$$ and wall thickness of $$25$$ $$mm$$ is subjec

A mild steel specimen is under uniaxial tensile stress. Young's modulus and yield stress for mild steel are $$2 \times {

Cross-section of a column consisting of two steel strips, each of thickness $$t$$ and width $$b$$ is shown in the figure

A rigid bar $$GH$$ of length $$L$$ is supported by a hinge and a spring of stiffness $$K$$ as shown in the figure below.

The degree of static indeterminacy of the rigid frame having two internal hinges as shown in the figure below, is

The span$$(s)$$ to be loaded uniformly for maximum positive (upward) reaction at support $$P,$$ as shown in the figure b

The members $$EJ$$ and $$IJ$$ of a steel truss shown in the figure below are subjected to a temperature rise of $${30^ \

The shape of the cross-section, which has the largest shape factor, is

A continuous beam is loaded as shown in the figure below. Assuming a plastic moment capacity equal to $${{M_P}}$$, the m