EM 306 – Statics
Name and EID
Exam 1
Fall 2019 - Landis
___________________________________
Section Day/Time ___________________________________
All problems require correctly drawn and labeled free body diagrams for
each component that you perform an equilibrium analysis on.
Problem 1. Determine the
axial forces in all of the
truss members. Indicate
whether each is in tension
or compression.
(20 points)
Problem 2. All components are weightless. Determine the moment required to maintain
equilibrium in the position shown in terms of the applied force P. (20 points)
P
EM 306 – Statics
Exam 1
Fall 2019 - Landis
Problem 3. The contact interactions between the plunger and all surfaces are frictionless
and act through point B. All components are weightless. Determine the crushing
force on the can. Hint: The problem is made much easier if you first determine Ay .
(20 points)
①
EM
c)
Fall 2019
306
3K¥
Ax
→ -
44000
Tay
From
A)
AE
It
EFy=
c)
=3
-
EFy=
Efx
E)
-
Efx
Eff
=
=
=
4FAB
-
DE
-
-
-
-
ICE
o →
¥BE=o
-
-
lbs
.
Cc )
AE
→
DE
BC
=
)
Elt
4
cc )
ITH)
=
BE
→
¥cD=o→
ECETZSCD
1000
1000
.
IAB tIBEtBC=o→
-
=
Ay
=
rid
-
-
-
←
¥AB=o→AB= E
ICD
3000
O →
-
kips
DE
EFy= 3t¥cD=o→cD=
-
=
93
3tIABtAE=o
-
AE -3000
CD
d
-_
Dy
Dy
4
Eff
Efx
+
→
12.4000-8-3000=0
-
in
are
←→ DE
EF×=
B)
4000
BETTE
AE
•→
EFx=
D)
-
CELLS
BE
AB
=
BC
,
BC
→g→
↳
g
T,
3oootAx=0
all forces
on
AB
3
Eff
EFy= Ay
3
←
1
EMzA= +24dg
TDY
here
Solutions
Exam
5
4-
It )
Icc )
-
Bc
CE
→
-_
=
Ett )
fi I I
-
'
-
-
-
+
EBEtEcE=o→ ET tf Z,t¥=o
4t¥BEt¥cE=o→ 4+1+3=5
AETDE
-
-
-
-
2)
②
÷
→
ox
#
MS
LBC
②
JALSA
,
y
①
E
ME
=
-
pas )
-
BC
② EME
=
M
=
-
F- Bell8) -44BC (3) =D
M¥+4
'T Bc (m )
t
-
=
MATE )
d=E
o
D=
#4CH)PT
7.97 P
TIE
\
-
c
it
→
B
=
BC
'4
22.02
=
3)
B
T%→o×
①
¥7:
→
① EME
=
② EMI
=
①
t
4403=0
Ay
-
p (297)
EEE
Bt
-
"
→
Ay
-
.
O
Ax ( Ez 74=0
Axed
→
AE
-
4.76 P
'0=0ffA¥YfIz%sX
-
*
that
Note
2on
force
it
the
member
act
plunger
is
because
through only
actually
all of
2
a
the forces
points
.