M16 Concept Question 1
A bar is clamped at one end and is loaded so
that it has an axial strain distribution of
xˆ
Ê
e11 = e 0 Ë 1- ¯ , where e0 is a constant. What
L
is the axial displacement of the free end of the
bar?
x2
t
x1
L
1)
d = e0 L
1 2
3) d = e 0 L
2
5) d = 2 e 0 L
6) Another answer
1
2) d = e 0 L
2
4) d = e 0
7)DNK/DNU
M16 Concept Question 2
A square plate (LxL)of material has a
displacement distribution given by u1=ax1x2
and u2=bx1 where a and b are constants.
What is the shear strain, e12 at (L,L)?
x2
L
L
1)
e12
3) e12
1
= ( aL)
2
=b
1
5) e12 = ( ax1 + b)
2
6) Another answer
x1
1
2) e12 = ( aL + b )
2
4) e12 = aL + bL
7)DNK/DNU
M17 Concept Question 2
A common way to characterize a state of 2-D strain is to use
a strain gauge "rosette" with three gauges mounted at 0°, 45°
and 90°. Which is a potentially correct Mohr's circle for the
rosette configuration shown below?
a
b
c
Sh.
ea
1
Sh.
ea
eb ec Ext.
ec
eb ea Ext.
5. None of the above
6. DNK/DNU
Sh.
ec
3.
ec
Ext.
2.
Sh.
eb
4.
eb
ea
Ext.