Q.1 Select right answer. A steel cylinder of internal radius 1 m and external radius 1.22 m (minisubmarine) is sealed at atmospheric pressure and put into the sea. If the pressure due to the water
is 10 MPa then the hoop stress at the inner edge is
-61 MP
Tute 3: Plasticity and Fracture Mechanics
Problem 1
A thick-walled cylindrical pressure vessel has autofrettaged to be prior to its use for a high-pressure
chemical process. The radius ratio is 2.5 and 20% of the wall thickness has to be brought into the
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THE UNIVERSITY OF ADETAIDE
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Problem 1:
The state of stress at a point in a loaded structure is represented in the Figure below.
Determine the principal stresses.
50 MPa
20 MPa
15 MPa
Problem 2:
The stress is acting uniformly over the sides of a rectangular block. Calculate the stres
Problem 1:
A cylinder with open ends, subjected to outer pressure only, is constructed of material having a tensile
strength . The internal radius of cylinder is , and the outer is 2. Based on the von-Mises and Tresca criteria,
predict the limiting values
Select right answer. A freshly annealed glass containing flaws of maximum length of 0.1
microns breaks under a tensile stress of 120 MPa. If a sample of this glass is now subjected to
stress of 30 MPa, failure is found to occur after 10 days. Assuming tha
A thick-walled cylinder made of a material with yield strength of 500 MPa and 50 mm inner
radius is subjected to an internal pressure of 60 MPa. Determine the outer radius such to
provide a factor of safety 2 against yielding based on Tresca theory.
69 mm
Classroom quiz 2: Axisymmetric Problems of the Theory of Elasticity
Group 1: Tuesday 4:00-6:00 PM (Engineering South, S111)
Problem 1 [30 marks]
A cylinder with closed ends with b = 1 m and a = 1.2 m is subjected to outer pressure, po
only. If the absolut
Date
THE UNIVERSITY OF ADELAIDE
ENGINEERING DESIGN CALCULATIONS
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Date
THE UNIVERSITY OF ADETAIDE
ENGINEERING DESIGN CALCULATIONS
Job No
Sheet
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2
Date
THE UNIVERSITY OF ADELAIDE
Job No
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Problem
1:
I
is stretched in direction by
the angle between the diagonals AC and BD.
A square pLate L x
Cx'
as shown in the figure below. Find the change
feo,.r gleon
v
a
r,
cr
Al
(,r)
0
btv -0
v!'=
*-
7
"'y'
AL
L
I
I
I
I
I
I
\
no'-r- $ o rn
"+2y
ncl ol
Problem 1:
A square plate is stretched in
in the angle between the diagonals
direction by as shown in the figure below. Find the change
and
.
Problem 2:
Determine whether the following strain field is possible in a continuous body
+
where is a constant.
P
Q1.RectangularABCDisdrawnonathinplatepriortoloading(dashedlines).Subsequenttoloading,
thedeformedgeometry(exaggerated)isshownbythesolidlines.Selectrightanswer.Thenormal
straininxdirectionis
B
0.1degree
C
A
0
D
Q2.RectangularABCDisdrawnonathinplatepriortol
Tutorial 1 (week 3): Concepts of Stress and Strain, and Generalized Hookes Law
Problem 1
Draw the stress states at point
in a machine component measured as
16
20
0
20
10
15
0
15 MPa
19
Problem 2
A structural member is subjected to a set of forces. Each s
Q 1: Select right answer. A thick—walled cylinder with 0.1-m and 0.12—m internal and external radii is
fabricated of a material whose yield stress (in tension—compression) is 450 MPa. By adopting Tresca
yield criterion, the cylinder may be subjected to th