Two plates are connected by fillet welds of size $$10$$ $$mm$$ and subjected to tension, as shown in the sketch. The thickness of each plate is $$12$$ $$mm.$$ The yield stress and the ultimate tensile stress of steel are $$250$$ $$MPa$$ and $$410$$ $$MPa,$$ respectively. The welding is done in the workshop $$\left( {{\gamma _{mw}} = 1.25} \right).$$

As per the Limit State Method of $$IS$$ $$800:2007,$$ the minimum length (rounded off to the nearest higher multiple of $$5$$ $$mm$$) of each weld to transmit a force $$P$$ equal to $$270$$ $$kN$$ (factored) is

A $$3$$ $$m$$ long simply supported beam of uniform cross section is subjected to a uniformly distributed load of $$w = 20$$ $$kN/m$$ in the central $$1$$ $$m$$ as shown in the figure.

If the flexural rrigidity $$(EI)$$ of the beam is $$30 \times {10^6}\,\,N$$ - $${m^2},$$ the maximum slope (expressed in radians) of the deformed beam is

Consider the plane truss with load $$P$$ as shown in the figure. Let the horizontal and vertical reactions at the joint $$B$$ be $$HB$$ and $${V_B},$$ respectively and $${V_C}$$ be the vertical reaction at the joint $$C.$$

Which one of the following sets gives the correct values of $${V_B},\,\,{H_B}$$ and $${V_C}$$?

A plane truss with applied loads is shown in the figure.

The members which do not carry any force are