Gate Sample Paper

CE GATE Paper 2009

Q. No. 1 – 20 Carry One Mark Each 1. A square matrix B is skew symmetric if (A) BT = −B 2. (B) BT = B (C) B−1 = B

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(D) B−1 = BT

For a scalar function f ( x, y, z) = x2 + 3y2 + 2z2 , the gradient at the point P (1,2,-1) is (A) 2i + 6 j + 4k (B) 2i + 12 j − 4k

z −1 z2 + 1

(C) 2i + 12 j + 4k

(D) 56

3.

The analytic function f ( z ) = (A) 1 and -1

has singularities at (C) 1 and -i (D) i and -i

(B) 1 and i

4.

A thin walled cylindrical pressure vessel having a radius of 0.5m and wall thickness of 25mm is subjected to an internal pressure of 700kPa. The hoop stress developed is (A) 14MPa (B) 1.4MPa (C) 0.14MPa (D) 0.014MPa

5.

The modulus of rupture of concrete in terms of its characteristic cube compressive strength (fck) in MPa according to IS 456:2000 is (A) 5000fck (B) 0.7fck (C) 5000 fck (D) 0.7 fck

6.

In the theory of plastic bending of beams, the ratio of plastic moment to yield moment is called (A) Shape factor (C) Modulus of resilience (B) Plastic section modulus (D) Rigidity modulus

7.

For limit state of collapse, the partial safety factors recommended by IS 456:2000 for estimating the design strength of concrete and reinforcing steel are respectively (A) 1.15 and 1.5 (B) 1.0 and 1.0 (C) 1.5 and 1.15 (D) 1.5 and 1.0

8.

The point within the cross sectional plane of a beam through which the resultant of the external loading on the beam has to pass through to ensure pure bending without twisting of the cross-section of the beam is called (A) Moment centre (B) Centroid (C) Shear centre (D) Elastic centre

9.

The square root of the ratio of moment of inertia of the cross section to its cross sectional area is called (A) Second moment of area (C) Section modulus (B) Slenderness ratio (D) Radius of gyration

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