SAMPLE QUIZZES  ELASTICITY
 1 –
Sample Quiz Questions
1.
Derive the following straindisplacement relationship similar to what we did in class
y
u
x
xy
∂
∂
+
∂
∂
=
/
/
υ
γ
2.
A thin rectangular plate a=20 mm and b=12 mm is acted upon by a stress distribution
resulting in the uniform strains in the body
µ
µ
µ
γ
ε
ε
200
,
500
,
300
xy
y
=
=
=
x
(a)
Determine the change in length of diagonal QB.
(b)
What is the maximum shear strain in the body?
y
A
B
b
Q
C
a
3.
A thin walled cylindrical pressure vessel of diameter ‘d’ and thickness ‘t’ is subjected
to an internal pressure ‘p’.
If there is a small circular hole in the vessel wall, what is
the maximum tangential stress at the hole edge.
Show your steps clearly.
Given are
the following hints.
Hints are just hints – using them is your choice.
Hint A.
You can use superposition and transformation of coordinates.
Hint B.
An infinite plate with a hole of radius ‘a’ subjected to a uniform axial tension
‘
σ
’ gives the tangential stress at the hole edge as
)
Cos2
2

(1
)
,
(
θ
σ
θ
σ
θθ
=
=
a
r
Hint: The stresses in a thin walled pressure vessel of diameter
d
and thickness
t
subjected to a uniform pressure ‘p’ is
t
pd
y
2
=
σ
(tangential stress);
t
pd
x
4
=
σ
(axial stress)
x
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