The moisture holding capacity of the soil in a 100 hectare farm is 18cm/m. the field is to be irrigated when 50 percent of the available moisture in the root zone is depleted. The irrigation water is to be supplied by a pump working for 10hours a day, and water application efficiency is 75%. Details of crops planned for cultivation are as follows:

Crop	Root zone depth (m)	Peak rate of moisture use(mm/day)
X	1.0	5.0
Y	0.8	4.0

The capacity of irrigation system required to irrigate crop X in 36 hectares is

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 moment of resistance of the section is

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