What is the minimum number of multiplications involved in computing the matrix product $$PQR?$$ Matrix $$P$$ has $$4$$ r

The solution $$\int\limits_0^{\pi /4} {{{\cos }^4}3\theta {{\sin }^3}\,6\theta d\theta \,\,} $$ is :

Find the value of $$\lambda $$ such that the function $$f(x)$$ is a valid probability density function ________.

There is no value of $$x$$ that can simultaneously satisfy both the given equations. Therefore, find the 'least squares

In its natural condition, a soil sample has a mass of 1.980 kg and a volume of 0.001 m3. After being completely dried in

A 1-hour rainfall of 10 cm has a return period of 50 years. The probability that 1 hour of rainfall 10 cm or more will o

An isohyet is a line joining points of

The transplantation of rice requires 10 days and total depth of water required during transplantation is 48 cm. During t

Maximum possible value of compaction factor for fresh (green) concrete is

As per $$IS$$ $$456:2000$$ for $$M20$$ grade concrete and plain barsin tension the design bond stress $${\tau _{bd}} = 1

The creep strains are

A rectangular concrete beam $$250$$ $$mm$$ wide and $$600$$ $$mm$$ deep is pre-stressed by means of $$16$$ high tensile

Two steel columns $$P$$ (Length $$L$$ and yield strength $${f_y} = 250\,\,MPa$$) and $$Q$$ (length $$2L$$ and yield stre

A symmetric $${\rm I}$$-section (with width of each flange $$=50$$ $$mm$$, thickness of each flange $$=10$$ $$mm,$$ dept

The state of $$2D$$-stress at a point is given by the following matrix of stresses: $$$\left[ {\matrix{ {{\sigma _{x

A uniform beam weighing $$1800$$ $$N$$ is supported at $$E$$ and $$F$$ by cable $$ABCD$$. Determine the tension (in $$N$

A symmetric $${\rm I}$$-section (with width of each flange $$=50mm$$, thickness of each flange $$=10mm,$$ depth of web $

The ‘'plane section remains plane’' assumption in bending theory implies:

Two steel columns $$P$$ (Length $$L$$ and yield strength $${f_y} = 250\,\,MPa)$$ and $$Q$$ (length $$2L$$ and yield stre

Beam $$PQRS$$ has internal hinges in span $$PQ$$ and $$RS$$ as shown. The beam may be subjected to a moving distributed

A uniform beam ($$EI=$$ constant) $$PQ$$ in the form of a quarter-circle of radius $$R$$ is fixed at end $$P$$ and free

All members in the rigid-jointed frame shown are prismatic and have the same flexural stiffness $$EI$$. Find the magnitu

As per $$IS$$ $$800:2007$$ the cross-section in which the extreme fiber can reach the yield stress, but cannot develop t

A propped cantilever made of a prismatic steel beam is subjected to a concentrated load $$P$$ at mid span as shown. I

A propped cantilever made of a prismatic steel beam is subjected to a concentrated load $$P$$ at mid span as shown. I

The pin-jointed $$2$$-$$D$$ truss is loaded with a horizontal force of $$15$$ ݇ܰ at joint S and another $$15$$ ݇ܰ vert