GATE CE 2022 Toppers Quiz 13 for ESE & GATE CE Exams

Question 1Multiple Correct Options

While computing the limits of consistency and consistency index, It is found that liquidity index has negative value

Question 2

The distance between vertical axis of a Tacheometer and optical centre of the object glass is 120mm and spacing between upper and lower stadia (lines) diaphragm axis is 4mm. The focal length of object glass is 200 mm. The staff intercept with the line of collimation perfectly horizontal are 1m, 4m & 6m for top, middle & bottom respectively. Then horizontal distance(m) between the staff and instrument station is

Question 3

The following observation were taken with a tacheometer at the station A to a staff at B held normal to the line of sight. If staff readings are 2m, 3m, & 4m and the angle of inclination is 23 ̊30’. Determine horizontal distance between A and B. also what is the RL of B if RL of A is 200m. Take K=100, C =0.6 & H.I.=1.46m

Question 4

A rigid block AB weighing 250 kN is supported by two rods symmetrically placed as shown in figure. The lower end of the rod are at the same level before the block is attached and temperature is changed. The stress in bronze rod after a temperature rise of 20

Data:

A_s = 800 mm², A_B = 1200 mm²

L_s = 1 m, L_b = 1 m

E_s = 205 kN/mm², E_b = 82 kN/mm²

= 12 x 10^-6 /, = 20 x 10^-6 /

Question 5

Let there be a rod which is placed between the two metal plates. The metal plates are fixed and cannot be moved. The rod is fixed to the one plate and the distance between the rod and the other plate be 0.1 mm. The temperature of the rod is increased by 120 °𝐶and the length of the rod is 300 mm. Young’s modulus for the material isb 300 GPa and the coefficient of thermal expansion is 10^-5 per

. Calculate the axial stress produced in the rod.

Question 6

A flat steel bar 20 mm x 8 mm is placed between two aluminum bars 20 mm x 6 mm so as to make a composite bar of square section 20 mm x 20 mm. The three bars are fastened together rigidly along the interfaces, when the temperature of each is 75 ° F, then the temperature stresses (in N/mm²) developed in steel and aluminium bars, if temperature of the whole assembly is raised to 125 °F, is
[Take E_S = 210 GPa, E_A =70 GPa, ∝_S = 6.4 x 10^-6 per ℉, ∝_A = 12.8 x 10^-6 per ℉]

Question 7

A 15 cm long rod of uniform rectangular section, 10 mm wide x 1.2 mm thick is bent into the form of a circular arc resulting in a central displacement of 1 cm. Neglecting second order quantities in computation, what is the longitudinal surface strain in the rod? (Take E = 2 x 10⁵ N/mm².)

Question 8

A masonry dam 10 m high is trapezoidal in section with a top width of 1 m and bottom width of 8 m. The dam experiences the net vertical force of 1100000 kN and horizontal force of 500000 kN. If the coefficient of friction is 0.75 and permissible shear stress of joint is 14 kg/cm² then what is the shear friction factor and safety against sliding?