At the limit state of collapse, an $$RC$$ beam is subjected to flexural moment $$200$$ $$kN$$-$$m$$, shear force $$20$$ $$kN$$ and torque $$9$$ $$kN$$-$$m$$. The beam is $$300$$ $$mm$$ wide and has a gross depth of $$425$$ $$mm,$$ with an effective cover of $$25$$ $$mm$$. The equivalent nominal shear stress $$\left( {{\tau _{ve}}} \right)$$ as calculated by using the design code turns out to the lesser than the design shear strength $$\left( {{\tau _c}} \right)$$ of the concrete.

The equivalent flexural moment $${M_{{e_1}}}$$ for designing the longitudinal tension steel is

An $$RC$$ short column with $$300\,\,mm \times 300\,mm$$ square cross-section is made of $$M20$$ grade concrete and has $$4$$ numbers, $$20$$ $$mm$$ diameter longitudinal bars of $$Fe$$-$$415$$ steel. It is under the action of a concentric axial compressive load. Ignoring the reduction in the area of concrete due to steel bars, the ultimate axial load carrying capacity of the column is

An $$RC$$ square footing of side length $$2$$ $$m$$ and uniform effective depth $$200$$ $$mm$$ is provided for a $$300$$ $$mm \times 300\,mm$$ column. The line of action of the vertical compressive load passes through the centroid of the footing as well as of the column. If the magnitude of the load is $$320$$ $$kN,$$ the nominal transverse (one way) shear stress in the footing is

A simply supported prestressed concrete beam is $$6$$ $$m$$ long and $$300$$ $$mm$$ wide. Its gross depth is $$600$$ $$mm.$$ It is prestressed by horizontal cable tendons at a uniform eccentricity of $$100$$ $$mm.$$ The prestressing tensile force in the cable tendons is $$1000$$ $$kN$$. Neglect the self weight of beam. The maximum normal compressive stress in the beam at transfer is