3
fl
_i.
r
s
(p.,
II
I
1
\_
II
S
4
I
_
)
c.
,.
I
tv
C,
H
C
ii
l
,
3
9

/

p
4
1
s.
x
4_p
862. The guy wire AB of a building frame is origina
lly
unstretched. Due to an earthquake, the two colum
ns of
the frame tilt U = 2. Determine the approximate
HOMEWORK PROBLEMS
Week 5: Due Friday 14 February
1. The beam AB in Figure 1 is subjected to a uniformly distributed load w0 = 100 N/m. Find
the axial force N, the shear force V and the bending moment M at the point D which is midway
between A and B and il
HOMEWORK PROBLEMS
Week 13: Due Monday 21 April
1. The rectangular block shown in Figure 1 is made of steel (E = 210 GPa, = 0.3) and
the sides are of length AB = 6 mm, BC = 5 mm, FA = 12 mm. The faces ABCD and FGHJ
are subjected to tensile forces of 4 kN a
HOMEWORK PROBLEMS
Week 7: Due Friday 28 February
1. In Figure 1, the bar ABC can be considered rigid. When a force F = 10 N is applied at C, the
wire BD is observed to increase in length by 1 mm. If the wire diameter is 0.6 mm, estimate
Youngs modulus for
HOMEWORK PROBLEMS
Week 6: Due Friday 21 February
1. Figure 1 shows an assembly for testing the wooden specimen AB. The specimen has thickness
(perpendicular to the figure) of 8 mm and width d =10 mm, and the dimension h = 18 mm. If
the wood fails in tensi
HOMEWORK PROBLEMS
Week 2: Due Friday 20 January
1. The platform AB, used to support the weight W, is pinned to the wall at A and supported at
the other end by the strut BC. It is desired to choose the height H so as to minimize the volume
of material requ
FRICTION
When two bodies are placed in contact and an attempt is made to make
one slide over the other, the motion will generally be opposed by a friction
force F . Experiments show that during sliding the magnitude of this force is
approximately proporti
HL/2
itE2U
qtihe
4.
o
C<
L
AU,. &
Resotve
2.
T.
.
a:

5) :
0(ve
5
.4
i
,

t erts.
(L
T,
aj7j
22.
7
,

ito(LJ
(&of,y)
(?(Sftf)
4
AS
Dves, I
zoos
g.
fD
.f
te
Lh.
2
A,
4
I
I.if4(ft 1?ff_[
L
1
w:s,4
h
T
d
1
Zfo:
4#rtrFo=o
ZMzo:
T7(o$3o
1e7f.tL
A
&
_
_
_
_
2tfJ
ci
2
*9.20. The support consists of three
rigid plates, which are
connected together using two symmetrically
placed rubber
pads. If a vertical force of 50 N is applied
to plate A,
determine the approximate vertical displac
ement of this
plate
145. TWo hemispheres having an inne
r radius of 2 ft and
wall thickness of 0.25 in. are fitted together,
and the inside
gauge pressure is reduced to 10 psi. If the
coefficient of
static
is p. = 0.5 between the hemispheres,
determine (a) the torque Tneede
4
b
H
I)
4
\
4
I
+
C.,
&
1

cr
.
ii
cJ
k
d,
.,
U,
cnO
Ct,
LI)
(
*15.20. The wooden beam is subjected to a load of 12 kN.
If grains of wood in the beam at point A make an angle of
25 with the hothontal as shown, determine the normal and
shear stress
1 102. The smooth rigidbody cav
ity is 1Ied with liquid
061T6 aluminum. When coo
led it is 0012 in. from the
top
of the cavity. If the top of the
cavity is not covered and
temperature is increased by
the
200 F, determine the
stra
components e, e, and e
_
1635. The A36 steel beam has a depth of 10 in. and is
subjected to a constant moment M which causes the
,
0
stress at the outer fibers to become u = 36 ksi.
Determine the radius of curvature of the beam and the
maximum slope and deflection.
BN
A
L
Pro
4.65.
O
a
d
G
P
Figure 1
We rst draw a freebody diagram of the half cylinder as shown in Figure 2.
O
a
d
G
N
W
P
F
Figure 2
The normal reaction force N must be perpendicular to the plane and hence to the tangent at
the point P. This force must therefore
ME 211 INTRODUCTION TO SOLID MECHANICS
Practice Final Examination
Attempt all questions
MULTIPLE CHOICE QUESTIONS
1. (2 points). Three strain gages are attached to a body with 00, 120, and 2400 orientation
relative to the xdirection (i.e. gage (a) is ali
ME 211003 INTRODUCTION TO SOLID MECHANICS
Quiz
Figure 1 shows a pinjointed structure comprising four bars ADG, BE, CDEF, CG
loaded by a 500 N force. Asked to draw freebody diagrams of components CDEF, CG
[only], various students produced the drawings (a