121/2022

Maximum : 100 marks

Time : 1 hour and 30 minutes

1. A steel bar 20 mm in diameter, when subjected to axial pull of 50 kN, elongates by 0.20 mm
over a gauge length of 20 cm. The diameter of the bar is reduced by 0.004 mm. Bulk modulus

of the material of the bar is:
(A) 88384 MPa (B) 159090 MPa
(C) 66288 MPa (D) 210524 MPa

2. A floor is supported by beams of rectangular cross section 7 cm wide, 20 cm deep and
span 4.5 m. The floor carries a load of 10 kN/m?. If the permissible bending stress in the

beam is 8 MPa, the maximum permissible spacing of the beams is :
(^) 120cm (B) 70cm
(0) 15cm (D) 10cm

8. A hollow circular shaft has inner diameter of 90 mm and thickness 25 mm. The shaft is
subjected to a torque of 12 kNm. If the modulus of rigidity of the material of the shaft is

80 GPa, the shear stress at the inner curved face of the shaft is :
(A) 17.26 MPa (B) 26.85 MPa
(C) 35.52 MPa (D) 53.70 MPa

4. Crippling load of column A is half of that of column B. If both the columns have the same

height, end conditions of A and B are respectively :
(A) Both ends hinged, both ends fixed
(B) One end fixed the other free, both ends hinged
(C) Both ends fixed, one end fixed the other free

(D) One end fixed the other hinged, both ends fixed

[P.T.0.]