GATE Mechanical Papers

Question

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…..........

Possible Answers

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

Question

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

Possible Answers

Selected	Possible 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.

Question

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

Possible Answers

Selected	Possible Answer
	1500 kN
	2500 kN
	1000 kN
	600 kN

Question

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…........

Possible Answers

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

Question

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

Possible Answers

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

Question

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 …...........

Possible Answers

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

Question

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…........

Possible Answers

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

Question

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….................

Possible Answers

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

Question

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

Possible Answers

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.

Question

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

Possible Answers

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

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