Timothy A. Philpot - Mechanics of materials _ an integrated learning system-John Wiley (2017)

p7.21–p7.22 Use the graphical method to construct the shearforce
and bending-moment diagrams for the beams shown in Figures
P7.21 and P7.22. Label all significant points on each diagram,
and identify the maximum moments along with their respective
locations. In addition,
(a) determine V and M in the beam at a point located 1.50 m to
the right of B.
(b) determine V and M in the beam at a point located 1.25 m to
the left of D.
y
20 kN 50 kN
50 kN/m
25 kN/m
x
A
B
C
2 m 3 m
FIGURE p7.25
y
52 kN 36 kN
35 kN/m
20 kips y
6 kips/ft
70 kips
12 kips/ft
A
FIGURE p7.21
B
3 m 6 m 3 m 3 m
C
150 kN.m
D
E
x
A
FIGURE p7.26
B
8 ft 7 ft
C
x
y
A
160 kN
50 kN/m
B
2 m 2 m 5 m
FIGURE p7.22
C
120 kN/m
p7.23–p7.31 Use the graphical method to construct the shearforce
and bending-moment diagrams for the beams shown in Figures
P7.23–P7.31. Label all significant points on each diagram, and
identify the maximum moments along with their respective locations.
Clearly differentiate straight-line and curved portions of the
diagrams.
y
6 kips/ft
A B C D
12 ft 10 ft 8 ft
8 kips
D
x
x
60 kN∙m
FIGURE p7.27
A
A
75 kN/m
2.5 m
FIGURE p7.28
100 kN
B
1 m
Frictionless pin
500 lb/ft
C
1.5 m
D
1,200 lb
B C D
10 ft 5 ft 10 ft
Frictionless pin
55 kN/m
3 m
8 ft
E
E
FIGURE p7.23
50 kips
560 kip∙ft
20 kips/ft
y
70 kN/m
55 kN
A
B
C
D
E
F
x
A B C
x
6 ft 10 ft 6 ft 12 ft 6 ft
7 m 3 m
FIGURE p7.24
FIGURE p7.29
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