1
GATE ME 2006
+2
-0.6
A steel bar of 40 mm × 40 mm square cross-section is subjected to an axial compressive load of 200 kN. If the length of the bar is 2m and E = 200 GPa. The decrement in length of the bar will be
A
1.25 mm
B
2.70 mm
C
4.05 mm
D
5.40 mm
2
GATE ME 2004
+2
-0.6
The figure below shows a steel rod of $$25$$ mm2 cross sectional area. It is loaded at four points, K, L, M and N. Assume Esteel $$=$$ $$200$$ GPa. The total change in length of the rod due to loading is
A
$$1\,\,\mu$$m
B
$$-10\,\,\mu$$m
C
$$16\,\,\mu$$m
D
$$20\,\,\mu$$m
3
GATE ME 2003
+2
-0.6
A $$200 \times 100 \times 50$$ mm steel block is subjected to a hydrostatic pressure of $$15$$ MPa. The Young's modulus and Poisson's ratio of the material are 200 GPa and $$0.3$$ respectively. The change in the volume of the block in mm3 is
A
$$85$$
B
$$90$$
C
$$100$$
D
$$110$$
4
GATE ME 1994
+2
-0.6
Below Fig. shows a rigid bar hinged at A and supported in a horizontal position by two vertical identical steel wires. Neglect the weight of the beam. The tension $${T_1}$$ and $${T_2}$$ induced in these wires by a vertical load P applied as shown are
A
$${T_1} = {T_2} = {P \over 2}$$
B
$${T_1} = {{Pal} \over {\left( {{a^2} + {b^2}} \right)}},{T_2} = {{Pbl} \over {\left( {{a^2} + {b^2}} \right)}}$$
C
$${T_1} = {{Pbl} \over {\left( {{a^2} + {b^2}} \right)}},{T_2} = {{Pal} \over {\left( {{a^2} + {b^2}} \right)}}$$
D
$${T_1} = {{Pal} \over {2\left( {{a^2} + {b^2}} \right)}},{T_2} = {{Pbl} \over {2\left( {{a^2} + {b^2}} \right)}}$$
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