1
GATE ME 2012
MCQ (Single Correct Answer)
+1
-0.3
In an interchangeable assembly, shafts of size $${25.000^{\matrix{ { + 0.040} \cr { - 0.010} \cr } }}\,\,mm$$ mate with holes of size $${25.000^{\matrix{ { + 0.030} \cr { + 0.020} \cr } }}\,\,mm.$$

The maximum interference (in microns) in the assembly is

A
$$40$$
B
$$30$$
C
$$20$$
D
$$10$$
2
GATE ME 2012
MCQ (Single Correct Answer)
+1
-0.3
A $$CNC$$ vertical milling machine has to cut a straight slot of $$10$$ $$mm$$ width and $$2$$ $$mm$$ depth by a cutter of $$10$$ $$mm$$ diameter between points $$(0, 0)$$ and $$(100, 100)$$ on the $$XY$$ plane (dimensions in $$mm$$). The feed rate used for milling is $$50$$ $$mm/min.$$ Milling time for the slot (in seconds) is
A
$$120$$
B
$$170$$
C
$$180$$
D
$$240$$
3
GATE ME 2012
MCQ (Single Correct Answer)
+2
-0.6
A solid steel cube constrained on all six faces is heated so that the temperature rises uniformly by $$\Delta T.$$ If the thermal coefficient of the material is $$\alpha $$, young's modulus is $$E$$ and the Poisson's ratio is $$\upsilon $$, the thermal stress developed in the cube due to heating is
A
$$ - {{\alpha \left( {\Delta T} \right)E} \over {\left( {1 - 2\upsilon } \right)}}$$
B
$$ - {{2\alpha \left( {\Delta T} \right)E} \over {\left( {1 - 2\upsilon } \right)}}$$
C
$$ - {{3\alpha \left( {\Delta T} \right)E} \over {\left( {1 - 2\upsilon } \right)}}$$
D
$$ - {{\alpha \left( {\Delta T} \right)E} \over {3\left( {1 - 2\upsilon } \right)}}$$
4
GATE ME 2012
Numerical
+2
-0
A $$200$$ mm long, stress free rod at room temperature is held between two immovable rigid walls. The temperature of the rod is uniformly raised by $$250$$oC. If the Young's modulus and coefficient of thermal expansion are $$200$$ GPa and $$1 \times {10^{ - 5}}/{}^ \circ C,$$ respectively, the magnitude of the longitudinal stress (in MPa) developed in the rod is _________
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