MCQ 1 A compound bar consists of two bars of equal length. Steel bar cross-section is 3500 mm² and that of brass bar is 3000 mm². These are subjected to a compressive load 100,000 N. If E_b = 0.2 MN/mm² and E_b = 0.1 MN/mm², the stresses developed are:

(A) σ_b = 10 N/mm², σ_s = 20 N/mm² (B) σ_b = 8 N/mm², σ_s = 16 N/mm² (C) σ_b = 6 N/mm², σ_s = 12 N/mm² (D) σ_b = 5 N/mm², σ_s = 10 N/mm²

MCQ 7 The moment of inertia of a triangular section (height h, base b) about its base, is

(A) bh²/12 (B) b²h/12 (C) bh³/12 (D) b³h/12

MCQ 14 The assumption in the theory of bending of beams is:

(A) Material is homogeneous (B) Material is isotropic (C) Young's modulus is same in tension as well as in compression (D) All of the above

MCQ 12 A concentrated load P is supported by the free end of a quadrantal ring AB whose end B is fixed. The ratio of the vertical to horizontal deflections of the end A, is

(A) π/2 (B) π/3 (C) π (D) π/4

MCQ 2 The maximum deflection due to a uniformly distributed load w/unit length over entire span of a cantilever of length l and of flexural rigidly EI, is

(A) wl³/3EI (B) wl⁴/3EI (C) wl⁴/8EI (D) wl⁴/12EI

MCQ 8 A compound truss may be formed by connecting two simple rigid frames, by

(A) Two bars (B) Three bars (C) Three parallel bars (D) Three bars intersecting at a point

MCQ 6 The forces acting normally on the cross section of a bar shown in the given figure introduce

(A) Compressive stress (B) Tensile stress (C) Shear stress (D) None of these

MCQ 11 If a solid shaft (diameter 20 cm, length 400 cm, N = 0.8 × 10⁵ N/mm²) when subjected to a twisting moment, produces maximum shear stress of 50 N/mm², the angle of twist in radians, is

(A) 0.001 (B) 0.002 (C) 0.0025 (D) 0.003

MCQ 3 To determine the force in BD of the truss shown in the given figure a section is passed through BD, CD and CE, and the moments are taken about 

(A) A joint (B) B joint (C) C joint (D) D joint

MCQ 13 A simply supported uniform rectangular bar breadth b, depth d and length L carries an isolated load W at its mid-span. The same bar experiences an extension e under same tensile load. The ratio of the maximum deflection to the elongation, is

(A) L/d (B) L/2d (C) (L/2d)² (D) (L/3d)³

MCQ 9 A simply supported beam which carries a uniformly distributed load has two equal overhangs. To have maximum B.M. produced in the beam least possible, the ratio of the length of the overhang to the total length of the beam, is

(A) 0.207 (B) 0.307 (C) 0.407 (D) 0.508

MCQ 4 Pick up the correct statement from the following:

(A) A wire wound in spiral form, is called a helical spring (B) The pitch of a close coil spring, is very small (C) The angle made by the coil with horizontal, is called the angle of helix (D) All of the above

MCQ 10 The ratio of lateral strain to axial strain of a homogeneous material, is known

(A) Yield ratio (B) Hooke's ratio (C) Poisson's ratio (D) Plastic ratio

MCQ 5 A short column (30 cm × 20 cm) carries a load P₁ at 4 cm on one side and another load P₂ at 8 cm on the other side along a principal section parallel to longer dimension. If the extreme intensity on either side is same, the ratio of P₁ to P₂ will be

(A) 2/3 (B) 3/2 (C) 8/5 (D) 5/8