#### UPSC Civil Service Exam.Question

1

A circular plate 100 mm diameter is welded to another plate by means of 6 mm fillet weld. If the permissible shearing stress in the weld equals 10 kg/mm2, then the greatest twisting moment that can be resisted by the weld will be

A. 424 pi kg.m
B. 300pi kg.m
C. 212 pi kg.m
D. 60 pi kg.m

2

A steel cable of 2 cm diameter is used to lift a load of 500Ï€ kg. Given that, E = 2 x 106 kg/cm2 and the length of the cable is 10 m, the elongation of the cable due to the load will be

A. 0.5 cm
B. 0.25 cm
C. 1 cm
D. 1/pi cm

3
A cohesionless soil having an angle of shearing resistance of varphi, is standing at a slope angle of i. The factor of safety of the slope is tan i

A. (tan i)/(tan varphi)
B. tan i - tan varphi
C. (tan varphi)/(tan i)
D.  tan varphi - tan i

4

What is the ratio of maximum shear stress to average shear stress for a circular section ?

A. 2
B. 3/2
C. 4/3
D. 3/4

5
A simply supported continuous beam with two equal spans carries uniformly distributed load w on entire length of the beam. If each span has a length L, the bending moment at the central support is

A. (WL^2)/(12)
B. (WL^2)/(8)
C. (WL^2)/(4)
D. (WL^2)/(2)