GATE 2017-2018 :: GATE Civil
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There is no value of x that can simultaneously satisfy both the given equations.Therefore, find the 'least squares error' solution to the two equations, i.e., find the value of x that minimizes the sum of squares of the errors in the two equations. __________2x = 34x = 1
- What is the minimum number of multiplications involved in computing the matrix product PQR? Matrix P has 4 rows and 2 columns, matrix Q has 2 rows and 4 columns, and matrix R has 4 rows and 1 column. __________
- A 1-h rainfall of 10 cm magnitude at a station has a return period of 50 years. The probability that a 1-h rainfall of magnitude 10 cm or more will occur in each of two successive years is:
- Maximum possible value of Compacting Factor for fresh (green) concrete is:
- 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
- The creep strains are
- As per IS 456:2000 for M20 grade concrete and plain barsin tension the design bond stress tbd = 1.2 MPa.Further, IS 456:2000 permits this design bond stress value to be increased by 60 % for HSD bars. The stress in theHSDreinforcing steel barsin tension, σs = 360 MPa. Find the required development length, Ld, for HSD barsin terms of the bar diameter, φ. __________
- The 'plane section remains plane' assumption in bending theory implies:
- Two steel columns P (length L and yield strength fy = 250 MPa) and Q (length 2L and yield strength fy = 500 MPa) have the same cross-sections and end-conditions. The ratio of buckling load of column P to that of column Q is:
- 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/mm2) in the web at its junction with the top flange. __________