RSE Civil MM

  1. For reinforced concrete vertical column, with hinge ends, is applied with end moments and lateral load as shown in the figure. Column high is 10 ft . The shear force at mid-height of the column ( 5 ft from column end ) according to applied loads will be almost equal to _____. Neglect own weight of the column. (a) 5.0 kips (b) 4.0 kips (c) 2.0 kips (d) 8.0 kips Ans: ∑ moment at B = 0 R AX × 10 + 20 + 20 = 1 × 10 × 5  R AX = 1 kip R BX = ( 1× 10 ) - 1 = 9 kip Shear force at mid-height of the column V mid = 9 - ( 1 × 5 ) = 4 kip     [ → ]           (b)

1. If log 2 y = log (1000), the value of y is nearest; (a) 1.0 (b) 2.0 (c) 4.0 (d) 8.0 Ans: log (1000) = 3 log y = 3 y = 2 3   y = 8 (d)

  1. Express sinh(x) as an infinite series; (a) - x - x³/6 + . . . (b) x²/2 + x⁴/24 + . . . (c) 1 + x²/2 + . . . (d) x + x ³/6 + . . . 2. Find lim x→0 sin(2x-π/4)/x 2 ; (a) 2.484 (b) 1.414 (c) 4.121 (d) Undefined 3. Radius of an inscribe circle of a hexagon is 5. Area of this hexagon is nearly as (a) 75.5 (b) 86.6 (c) 128.2 (d) 146.6 30° 5 5 L M N 30° 4. Dot product of vectors A = 3i + 1j - 2k and B = 1j + 2k (a)   2 (b) - 2 (c)   3 (d) - 3 Ans:      A . B    = (3) (0) + (1) (1) + (-2) (2)                     =  - 3          (d) 5. (a) Explain about the Engineers' Creed? (b) If engineers' judgment is overruled under circumstances that endanger life or property how should they notify? (c) Should the engineers be permitted the use of their name...