CIV100F
Solutions
Section B/E
Fall 2011
Assignment 10
Due on Monday, November 28
th
2011
Draw a FBD if necessary; Pay attention to significant figures; A ruler is always required.
1 Draw shear force and bending
moment diagrams for the shown beam.
Solution
:
Draw the FBD as shown and solve the beam for reactions:
kN
A
X
25
0
60
cos
50
=
⇒
=
−
∑
=
⇒
=
−
+
+
−
⇒
=
kN
A
A
M
Y
Y
D
1
.
43
0
)
1
)(
60
sin
50
(
)
5
.
2
)(
45
(
)
5
.
3
)(
4
)(
12
(
)
5
.
5
)(
(
0
kN
D
D
F
Y
Y
Y
1
.
93
0
60
sin
50
)
4
)(
12
(
45
127
.
43
0
=
⇒
=
−
−
−
+
⇒
=
∑
Cut beam at B and solve the left part, we have:
m
kN
M
B
⋅
=
−
=
3
.
75
)
5
.
1
)(
3
)(
12
(
)
3
)(
127
.
43
(
kN
V
Left
B
13
.
7
)
3
)(
12
(
127
.
43
,
=
−
=
kN
V
right
B
9
.
37
45
127
.
7
,
−
=
−
=
Cut beam at C and solve the left part, we have:
m
kN
M
C
⋅
=
−
−
=
5
.
31
)
1
)(
45
(
)
2
)(
4
)(
12
(
)
4
)(
127
.
43
(
kN
V
C
9
.
49
45
)
4
)(
12
(
127
.
43
−
=
−
−
=
Cut beam at D and solve the right part, we have:
m
kN
M
D
⋅
−
=
−
=
3
.
43
)
1
)(
60
sin
50
(
kN
V
right
D
3
.
43
60
sin
50
,
=
=
kN
V
left
D
9
.
49
174
.
93
60
sin
50
,
−
=
−
=
(see next page for SFD and BMD)
Ay
Ax
Dy
B
C
E
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View Full DocumentCIV100F
Solutions
Section B/E
Fall 2011
Assignment 10
Due on Monday, November 28
th
2011
Draw a FBD if necessary; Pay attention to significant figures; A ruler is always required.
Shear force diagram:
Bending moment diagram:
2 Draw shear force and bending
moment diagrams for the shown beam.
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 Spring '08
 NAHRVAR
 Force, shear force, FBD, Section B/E

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