GATE Mechanical Papers

Sunday, January 02, 2011
The outside diameter of a hollow shaft is twice its inside diameter. The ratio of its torque carrying capacity to that of a solid shaft of the same material and the same outside diameter is…..........



Selected Possible Answer
 \frac{1}{16}
 \frac{15}{16}
 \frac{1}{8}
 \frac{3}{4}

In a two-hinged arch, an increase in temperature induces….....



SelectedPossible Answer
uniform bending moment in the arch rib
no bending moment in the rch rib.
minimum bending moment at the crown
maximum bending moment at the crown.

If b is the width of the plate and ‘d’ is the diameter of the rivet, then the efficiency of a riveted joint having diamond riveting is given by…........



Selected Possible Answer
 \frac{b-2d}{d}
 \frac{b-2d}{b}
 \frac{b-d}{b}
 \frac{b-d}{d}

The ‘Euler’ load for column is 1000 kN and crushing load is 1500 kN. The ‘Rankine’ load is equal to….......



Selected Possible Answer
1500 kN
2500 kN
1000 kN
600 kN

If the value of poisson’s ratio zero, then it means that…........



Selected Possible Answer
the material is perfectly plastic
the longitudinal strain in the material is infinite
the material is rigid
there is no longitudinal strain in the material

A short column of external diameter D and internal diameter d, is subjected to a load W, with an eccentricity e, causing zero stress at an extreme fibre.Then the value of “e” must be…........



Selected Possible Answer
 \frac{D^2+d^2}{8*D}
 \frac{D^2-d^2}{8*D}
 \frac{D^2+d^2}{8*phi*D}
 \frac{D^3-d^3}{8*D^2}

A simply supported beam of span L and flexural rigidity EI, carries a unit point load at its centre. The strain energy in the beam due to bending is …...........



Selected Possible Answer
 \frac{L^3}{16EI}
 \frac{L^3}{96EI}
 \frac{L^3}{192EI}
 \frac{L^3}{48EI}

Maximum size of a fillet weld for a plate of square edge is….......



Selected Possible Answer
1.5 mm more than the thickness of the plate
1.5 mm less than the thickness of the plate.
one half of the thickness of the plate
thickness of the plate itself

A mohr’s circle reduces to a point when the body is subjected to…............



Selected Possible Answer
uniaxial stress only
pure shear
equal axil stresses on two mutually peprendicular planes being free of a sheae.
equal and opposite xial stresses on two mutully peprendiculr plnes, the planes being free of shear.

A thin cylindrical shell of diameter d, length L and thickness t is subjected to an internal pressure(p). The ratio of longitudinal strain to hoop strain is….................



Selected Possible Answer
 \frac{2m-1}{m-1}
 \frac{pd}{2t}
 \frac{pd}{2t}(1-\frac{1}{m})
 \frac{m-2}{2m-1}

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