Reference no: EM131929613

Q.1 A solid circular beam with radius of 0.25 m and length of 2 m is subjected to a twisting moment of 20 kNm about the z-axis at the free end, which is the only load acting as shown in the figure. The stress component τ_xy at Point 'M' in the cross-section of the beam at a distance of 1 m from the fixed end is

(a) 0.0 MPa (b) 0.51 MPa (c) 0.815 MPa (d) 2.0 MPa

Q.2 In a fillet weld, the direct shear stress and bending tensile stress are 50 MPa and 150 MPa, respectively. As per IS 800: 2007, the equivalent stress (in MPa, up to two decimal places) will be ___.

Q.3 The percent reduction in the bearing capacity of a strip footing resting on sand under flooding condition (water level at the base of the footing) when compared to the situation where the water level is at a depth much greater than the width of footing, is approximately

(a) 0 (b) 25 (c) 50 (d) 100

Q.4 A column of height h with a rectangular cross-section of size a x 2a has a buckling load of P. If the cross-section is changed to 0.5a x 3a and its height changed to 1.5h, the buckling load of the redesigned column will be

(a) P/12 (b) P/4 (c) P/2 (d) 3P/4

Q.5 The frequency distribution of the compressive strength of 20 concrete cube specimen is given in the table.

f (MPa)	Number of specimens with compressive strength equal to f
23	4
28	2
22.5	5
31	5
29	4

If μ is the mean strength of the specimens and σ is the standard deviation, the number of specimens (out of 20) with compressive strength less than μ - 3σ is ____.

Q.6 In a shrinkage limit test, the volume and mass of a dry soil pat are found to be 50 cm³ and 88 g. respectively. The specific gravity of the soil solids is 2.71 and the density of water is 1 g/cc. The shrinkage limit (in % up to two decimal places) is _____.

Q.7 A core culler of 130 mm height has inner and outer diameters of 100 mm and 106 mm. respectively. The area ratio of the core cutter (in %, up to two decimal places) is

Q.8 A city generates 40 x 10⁶ kg of municipal solid waste (MSW) per year, out of which only 10% is recovered/recycled and the rest goes to landfill. The landfill has a single lift of 3 m height and is compacted to a density of 550 kg/m³. If 80% of the landfill is assumed to be MSW, the landfill area (in m², up to one decimal place) required would be _____.

Q.9 A 0.5 m x 0.5 m square concrete pile is to be driven in a homogeneous clayey soil having undrained shear strength, c_u = 50 kPa and unit weight, γ = 18.0 kN/m³. The design capacity of the pile is 500 kN. The adhesion factor α. is given 0.75. The length of the pile required for the above design load with a factor of safety of 2.0 is

(a) 5.2 m (b) 5.8 m (c) 11.8 m (d) 12.5 m