Civil Engineering GATE 2013 Questions with Answer

Ques 40 Mathematics

The solution for \(\int_{0}^{\pi /6}cos^{4}3\theta sin^{3}6\theta d\theta\) is:

Ques 41 Mathematics

Find the value of \(\lambda\) such that the function f(x) is a valid probability density function.   f(x) = \(\lambda\)(x - 1)(2 - x) for 1 ≤ x ≤ 2, otherwise f(x) = 0

Ques 42 Structural Engineering

As per IS 800:2007, the cross-section in which the extreme fiber can reach the yield stress, but cannot develop the plastic moment of resistance due to failure by local buckling is classified as

Ques 43 Structural Engineering

The creep strains are

Ques 44 Structural Engineering

As per IS 456:2000 for M20 grade concrete and plain bars in tension the design bond stress \(\tau_{bd}\) = 1.2 MPa. Further, IS 456:2000 permits this design bond stress value to be increased by 60% for HSD bars. The stress in the HSD reinforcing steel bars in tension, \(\sigma_s\) = 360 MPa. Find the required development length, \(L_d\) for HSD bars in terms of the bar diameter, \(\phi\).

Ques 45 Structural Engineering

The plane section remains plane assumption in bending theory implies:

Ques 46 Structural Engineering

Two steel columns P (length L and yield strength \(f_y\) = 250 MPa) and Q (length 2L and yield strength \(f_y\) = 500 MPa) have the same cross-sections and end-conditions. The ratio of buckling load of column P to that of column Q is:

Ques 47 Structural Engineering

The pin-jointed 2-D truss is loaded with a horizontal force of 15 kN at joint S and another 15 kN vertical force at joint U, as shown. Find the force in member RS (in kN) and report your answer taking tension as positive and compression as negative.

Ques 48 Structural Engineering

A symmetric I-section (with width of each flange = 50 mm, thickness of each flange = 10 mm, depth of web = 100 mm, and thickness of web = 10 mm) of steel is subjected to a shear force of 100 kN. Find the magnitude of the shear stress (in N/mm^2) in the web at its junction with the top flange.

Ques 49 Structural Engineering

The state of 2D-stress at a point is given by the following matrix of stresses:  [matrix of stresses] What is the magnitude of maximum shear stress in MPa?

Ques 50 Structural Engineering

All members in the rigid-jointed frame shown are prismatic and have the same flexural stiffness EI. Find the magnitude of the bending moment at Q (in kNm) due to the given loading.

Ques 51 Structural Engineering

A uniform beam (EI = constant) PQ in the form of a quarter-circle of radius R is fixed at end P and free at the end Q, where a load W is applied as shown. The vertical downward displacement, \(\delta_q\), at the loaded point Q is given by: \(\delta_q = \beta(\frac{WR^3}{EI})\) Find the value of \(\beta\) (correct to 4-decimal places).

Ques 52 Structural Engineering

A uniform beam weighing 1800 N is supported at E and F by cable ABCD. Determine the tension (in N) in segment AB of this cable (correct to 1-decimal place). Assume the cables ABCD, BE and CF to be weightless.