A doubly reinforced rectangular concrete beam has a width of $$300$$ $$mm$$ and an effective depth of $$500$$ $$mm.$$ the beam is reinforced with $$2200\,m{m^2}$$ of steel in tension and $$628\,m{m^2}$$ of steel in compression. The effective cover for compression steel is $$50$$ $$mm$$. Assume that both tension and compression steel yield. The grades of concrete and steel used are $$M20$$ and $$Fe250$$ respectively. The stress lock parameters (rounded off to first two decimal places) for concrete shall be as per IS $$456:200.$$

The depth of neutral axis is

Two plates, subjected to direct tension, each of $$10$$ $$mm$$ thickness and having widths of $$100$$ $$mm$$ and $$175$$ $$mm,$$ respectively are to be fillet welded with an overlap of $$200$$ $$mm.$$ Given that the permissible weld stress is $$110$$ $$MPa$$ and the permissible stress in steel is $$150$$ $$MPa,$$ then length of the weld required using the maximum permissible weld size as per $$IS:$$ $$800$$ -$$1984$$ is

A double cover butt riveted joint is used to connect two flat plates of 200 mm width and 14 mm thickness as show in the figure. There are twelve power driven rivets of 20 mm diameter at a pitch of 50 mm in both directions on either side of the plate. Two cover plates of 10 mm thickness are used. The capacity of the joint in tension considering bearing and shear ONLY, with permissible bearing and shear stresses as 300MPa respectively is

The effective length of a column of length $$L$$ fixed against rotation and translation at one end is