1
GATE CE 2010
+2
-0.6
The moisture holding capacity of the soil in a 100 hectare farm is 18 cm/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 area of crop Y that can be irrigated when the available capacity of irrigation system is 40 liters/sec is
A
40 hectares
B
36 hectares
C
30 hectares
D
27 hectares
2
GATE CE 2010
+2
-0.6
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

A
$$205.30$$ $$mm$$
B
$$184.56$$ $$mm$$
C
$$160.91$$ $$mm$$
D
$$145.30$$ $$mm$$
3
GATE CE 2010
+2
-0.6
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
$$206.00$$ $$kN$$-$$m$$
B
$$209.20$$ $$kN$$-$$m$$
C
$$237.80$$ $$kN$$-$$m$$
D
$$251.90$$ $$kN$$-$$m$$
4
GATE CE 2010
+2
-0.6
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
A
1083.6 kN
B
871.32 kN
C
541.18 kN
D
433.70 kN
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