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For the free end of the beam, point D, x = 9 m [Fig. 13.9(h)], we use Eqs. (13.2) and (13.4) to find the
shear and bending moment.
V₁ = 0
Mg = 0
Answer
Answer
PROBLEMS
13.1 and 13.2 For the simply supported beam shown, de-
termine (a) the shear force for sections to the right of
A, B, and C, and (b) the bending moment for sections
at A, B, C, and D.
13.3 and 13.4 Determine (a) the shear force for sections
to the right of A and B, and (b) the bending moment
for sections at A, B, and C for the cantilever beam
shown.
30 kN
20 kN
9 kip
4 ft-
4 kip
3 ft
•
B
A
•
•
B
C
12 ft-
D
2.6 m-
1.4 m-
+1m+
.
B
PROB. 13.3
PROB. 13.1
20 kN
40 kN
10 kip
8 kip
1.4 m
A
•
D
B
C
4.0 m
PROB. 13.2
4 ft -
8 ft
PROB. 13.4
C
13.5 For the beam with the overhang shown, determine (a)
the shear force for sections to the right of A, B, and C,
and (b) the bending moment for sections at A, C, and
D and to the right of B.
Shear Forces and Bending Moments in Beams
291
13.9 Determine (a) the shear force for sections to the right
of A and B, and (b) the bending moment for sections
at A, B, and C for the cantilever beam shown.
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Shear Forces and Bending Moments in Beams
291
13.5 For the beam with the overhang shown, determine (a)
the shear force for sections to the right of A, B, and C,
and (b) the bending moment for sections at A, C, and
D and to the right of B.
13.9 Determine (a) the shear force for sections to the right
of A and B, and (b) the bending moment for sections
at A, B, and C for the cantilever beam shown.
2.4 kip
3.6 kip
D
B
C
8 ft
4 ft
4 ft
PROB. 13.5
2 kip/ft
6 ft
9 ft.
PROB. 13.9
10 kip
C
B
13.6 Determine (a) the shear force for sections to the right
of A and B, and (b) the bending moment for sections
to the right of A and at B for the cantilever beam
shown.
13.10 For the cantilever beam shown, determine (a) the
shear force for sections at B and to the right of C, and
(b) the bending moment for sections at A, B, C, and D.
.
A
10 kN
B
1.0 m
1.5 m
2.0 m
4 kN
PROB. 13.6
30 kN
12 kN/m
1.2 m
•
.
B
C
2.0 m
13.7 For the beam with the overhang shown, determine (a)
the shear force for sections to the right of A and B and
to the left of C, and (b) the bending moment for sec-
tions at A, B, and C.
15 kN
10 kN/m
4.0 m
PROB. 13.10
13.5 SHEAR-FORCE AND
BENDING-MOMENT
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PROBLEMS
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D
13.11 through 13.35 Sketch and label the shear-force dia-
gram for the beam shown.
13.36 through 13.60 Sketch and label the bending moment
diagram for the beam shown.
302
CHAPTER THIRTEEN
4000 lb
8000 lb
300 lb/ft
•
B
5 ft
11 ft
PROB. 13.15 and PROB. 13.40
5.2 kN
B
A
.
1.2 m
2.4 m
3.8 kN
.
C
PROB. 13.16 and PROB. 13.41
30 kip
9 kip
3 ft
A
B
C
4 ft
4 ft
4 ft
4 ft
12 kip
O
777
6 ft
8 ft
PROB. 13.14 and PROB. 13.39
3000 lb/ft
12 ft
22,500 lb
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D
TTT
6 ft
PROB. 13.21 and PROB. 13.46
16,000 lb
D
8 ft
12 ft
2
PROB. 13.17 and PROB. 13.42
3 kip/ft
12 ft
B
B
12 ft
3000 lb/ft
8 ft
D
C
PROB. 13.22 and PROB. 13.47
10 ft
1.2 kN
3.6 kN
1.2 kN/m
AB
-2 m 2 m
4 m
0000 1300000 13.40
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1611112 11
4 ft
PROB. 13.25 and PROB. 13.50
4.0 m.
PROB. 13.20 and PROB. 13.45
Shear Forces and Bending Moments in Beams
303
10 kip
24 kN/m
1.4 kip/ft
3 ft
C
B
m
10 ft
4 ft
PROB. 13.26 and PROB. 13.51
10 kN/m
0.8 m
2.4 m
0.6 mL
16 kN
PROB. 13.27 and PROB. 13.52
28 kN/m
1B
3 m
PROB. 13.28 and PROB. 13.53
-8 kip/ft
BC
-3ft 2 ft
Uniform reaction
-3 ft-
PROB. 13.29 and PROB. 13.54
3 kip/ft
D
6 m
PROB. 13.32 and PROB. 13.57
12 ft
1.0 kip/ft
PROB. 13.33 and PROB. 13.58
I
B
60 kip
15 kip/ft
CAR
D
-6 ft
-6 ft
3ft
PROB. 13.34 and PROB. 13.59
150 kN/m
50 kN/m
-6 m
1.5 m
PROB. 13.35 and PROB. 13.60
D
13.61 to 13.63 For the given shear-force diagram, sketch
and label the beam-loading diagram and the bend-
ing-moment diagram.
8 ft
14 ft
6 ft
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0.8 m
2.4 m
0.6 mL
16 kN
PROB. 13.27 and PROB. 13.52
28 kN/m
B
-3 m
3 m
PROB. 13.28 and PROB. 13.53
-8 kip/ft
BC
3 ft 2 ft
3 ft-
Uniform reaction
PROB. 13.29 and PROB. 13.54
3 kip/ft
A
B
-6 ft.
6 ft
90 kN/m
PROB. 13.30 and PROB. 13.55
B
D
90 kN/m
1.5 m
-1.5 m
PROB. 13.31 and PROB. 13.56
PROB. 13.33 and PROB. 13.58
6 ft
60 kip
15 kip/ft
CAT
D
B
-6 ft
3ft
PROB. 13.34 and PROB. 13.59
150 kN/m
50 kN/m
-6 m
1.5 m
PROB. 13.35 and PROB. 13.60
D
13.61 to 13.63 For the given shear-force diagram, sketch
and label the beam-loading diagram and the bend-
ing-moment diagram.
V (lb)
8 ft
0
-1250
5750
14 ft
6ft
PROB. 13.61
-4750
304 CHAPTER THIRTEEN
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+/n INSTRUCTIONS
Need to do 13.2, 6, 10, 12, 22, 28, 38 & 56 questions
Provide detailed typed solution for this work