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

y
5 kN
20 kN.m
y
12 kN.m
18 kN/m
A
B
3 m 3 m
FIGURE p7.35
C
x
A B
1 m 2 m
FIGURE p7.40
C
2 m
D
x
y
6 kips/ft
9 kips/ft
y
35 kN/m
A B C
x
x
22 ft 8 ft
A
3 m
B
2 m
C
FIGURE p7.41
FIGURE p7.36
y
50 kN/m
20 kN/m
y
25 kN/m
32 kN
A
3 m 1 m
B
C
x
x
FIGURE p7.42
A
FIGURE p7.37
A
y
FIGURE p7.38
B
4 m 2 m
3,000 lb
8,000 B lb.ft
C
800 lb/ft
C
D
2 m
5 ft 4 ft 7 ft 4 ft
D
E
x
p7.43–p7.48 For the beams and loadings shown in Figures
P7.43–P7.48,
(a) use discontinuity functions to write the expression for w(x);
include the beam reactions in this expression.
(b) integrate w(x) twice to determine V(x) and M(x).
(c) determine the maximum bending moment in the beam
between the two simple supports.
y
9 kN.m
A
1 m
18 kN/m
B
3 m
C
x
FIGURE p7.43
y
800 lb/ft 800 lb/ft
y
5 kips/ft
A
B
12 ft 6 ft 6 ft
C
D
x
A
9 ft 5 ft
B
C
x
FIGURE p7.39
FIGURE p7.44
235