1
GATE ME 2008
+2
-0.6
A cylindrical container of radius $$R=1$$m, wall thickness $$1$$mm is filled with water upto a depth of $$2$$m and suspended along with its upper rim. The density of water is $$1000$$kg/m3 and acceleration due to gravity is $$10$$ m/s2. The self weight of the cylinder is negligible. The formula for hoop stress in a thin walled cylinder can be used at all points along the height of the cylindrical container.

The axial and circumferential stress $$\left( {{\sigma _{a,}}\,{\sigma _c}} \right)$$ experienced by the cylinder wall a mid-depth ($$1$$ m as shown) are

A
$$(10, 10)$$ MPa
B
$$(5, 10)$$ MPa
C
$$(10, 5)$$ MPa
D
$$(5, 5)$$ MPa
2
GATE ME 2008
+2
-0.6
A cylindrical container of radius $$R=1$$m, wall thickness $$1$$mm is filled with water upto a depth of $$2$$m and suspended along with its upper rim. The density of water is $$1000$$kg/m3 and acceleration due to gravity is $$10$$ m/s2. The self weight of the cylinder is negligible. The formula for hoop stress in a thin walled cylinder can be used at all points along the height of the cylindrical container.

If the Young's modulus and Poisson's ratio of the container material are $$100$$GPa and $$0.3$$, respectively. The axial strain in the cylinder wall at mid height is

A
$$2 \times {10^{ - 5}}$$
B
$$6 \times {10^{ - 5}}$$
C
$$7 \times {10^{ - 5}}$$
D
$$1.2 \times {10^{ - 5}}$$
3
GATE ME 1996
Subjective
+2
-0
A thin cylinder of $$100$$mm internal diameter and $$5$$mm thickness is subjected to an internal pressure of $$10$$ MPa and a torque of $$2000$$ Nm. Calculate the magnitudes of the principal stresses.
GATE ME Subjects
EXAM MAP
Medical
NEET