1
GATE ME 2024
Numerical
+2
-1.33

The figure shows a thin cylindrical pressure vessel constructed by welding plates together along a line that makes an angle $\alpha = 60^\circ$ with the horizontal. The closed vessel has a wall thickness of 10 mm and diameter of 2 m. When subjected to an internal pressure of 200 kPa, the magnitude of the normal stress acting on the weld is _________ MPa (rounded off to 1 decimal place).

2
GATE ME 2014 Set 4
Numerical
+2
-0
A thin gas cylinder with an internal radius of 100 mm is subject to an internal pressure of 10 MPa. The maximum permissible working stress is restricted to 100 MPa. The minimum cylinder wall thickness (in mm) for safe design must be ____________.
3
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
4
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
$$1.2 \times {10^{ - 5}}$$
GATE ME Subjects
EXAM MAP
Medical
NEET