STM Objective

STRENGTH OF MATERIAL

Two Marks Questions :
1. 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 200 Nm. Calculate the magnitudes of the principal stress. (GATE 1996
ME)
Statement For Linked Questions 02 And 03
A cylindrical contaner of radius R - 1m, wall thickness 1 mm is filled with water upto a depth of 2m and
suspended along with its upper rim. The density of water is 1000 kg/m3 and acceleration due to gravity is 10
mps. 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. (GATE 2008 ME) (2x2 = 4)

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1m .................................... 2m

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2. The axial and circumferential stress (σa, σ0) experienced by the cylinder wall at middepth (1m as
shown ) are

a) ( 10, 10) MPa b) (5, 10) MPa c) (10, 5) MPa d) (5, 5) MPa

3. If the Youngs’modulus and Poission’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 x10-5 b) 6 x 10-5 c) 7 x 10 -5 d) 1.2 x 10-5

4. A thin-walled long cylindrical tank of inside radius r is subjected simultaneouly to internal gas pressure p

and axial compresive force F at its ends. In order to produce ‘pure shear’state of stress in the wall of

the

cylinder, F should be equal to (GATE 2006 CE)
d) 4Pπr2
a) Pπr2 b) 2Pπr2 c) 3Pπr2

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“What the mind of man can conceive and believe,
it can achieve”

9 . THIN CYLINDERS CLASS WORK

One Mark Questions : 1 - b, 2 - a, 3 -a , 4 - d, 5 - c, 6 - 10 mm, 7 - c, 8 - 25 MPa

Two Marks Questions : 1 - 102 MPa, 2 - b, 3 - c, 4 - c

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