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

y
A
40 kN/m
50 kN
B
60 kN.m
x
p7.17–p7.18 Draw the shear-force and bending-moment diagrams
for the beams shown in Figures P7.17 and P7.18. Assume the
upward reaction provided by the ground to be uniformly distributed.
Label all significant points on each diagram. Determine the
maximum value of (a) the internal shear force and (b) the internal
bending moment.
FIGURE p7.11
3 m 1 m
25 kips 25 kips
2 kips/ft
y
10 kips/ft
A
B C D E
A
B
6 ft 9 ft
5 ft
C
D
x
FIGURE p7.17
4 ft 4 ft 4 ft 4 ft
FIGURE p7.12
50 kN
10 kips
40 kN/m
40 kN/m
60 kip∙ft
A
B
C
3.5 ft 6.5 ft
FIGURE p7.13
y
74 kip∙ft 56 kip∙ft
A
B
C
12 ft 20 ft 8 ft
FIGURE p7.14
D
x
x
A
FIGURE p7.18
B C D E
1 m 1 m 1 m 1 m
p7.19–p7.20 Use the graphical method to construct the shearforce
and bending-moment diagrams for the beams shown in Figures
P7.19 and P7.20. 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 0.75 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 C.
y
25 kN/m
y
15 kN 18 kN
40 kN/m
x
x
A
B
80 kN∙m 50 kN∙m
6 m
A
B
C
3 m 6 m 4 m
D
FIGURE p7.15
FIGURE p7.19
y
6,000 lb∙ft
2,400 lb
600 lb/ft
75 kN 60 kN
35 kN/m
A B C D E
3 ft 3 ft 9 ft
3 ft
x
A
2.5 m
B
120 kN∙m
3.5 m
C
x
FIGURE p7.16
FIGURE p7.20
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