EM 319 Mechanics of Solids
Fall 2010
Homework #2
Due: 9/9/2010
1. Find the change of length of the entire structure, given that:
E
AB
= 2
E
,
E
BC
=
E
,
E
CD
= 3
E
,
A
AB
=
A
,
A
BD
= 2
A
.
2. The structure
ABC
is subjected to the loads shown in the figure. The member has constant
thickness
t
(out-of plane direction) and Young’s modulus of the material is
E
. Find the change of
length of the structure.
3. A bar is subjected to linearly distributed load which has intensity
0
q
at the support
O
and zero at
the free end
B
. The bar has constant Young’s modulus
E
and cross sectional area
A
.
(a)
Calculate the elongation of the entire bar.
(b)
Calculate the displacement of point
C
(see figure below).
P
3
P
2
P
2
a
a
A
B
C
b
2
b
a
2
P
L
P
A
B
D
1/2
L
3
P
C
O
B
C
L
3
2
L
3
1
1/2
L
L

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