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

p10.24 The simply supported beam shown in Figure P10.24
consists of a W14 × 30 structural steel wide-flange shape
[E = 29,000 ksi; I = 291 in. 4 ]. For the loading shown, use discontinuity
functions to compute
(a) the slope of the beam at A.
(b) the deflection of the beam at midspan.
A
v
FIGURE p10.24
p10.25 The simply supported beam shown in Figure P10.25
consists of a W21 × 50 structural steel wide-flange shape
[E = 29,000 ksi; I = 984 in. 4 ]. For the loading shown, use discontinuity
functions to compute
(a) the slope of the beam at A.
(b) the deflection of the beam at B.
A
v
FIGURE p10.25
p10.26 The simply supported beam shown in Figure P10.26
consists of a W200 × 59 structural steel wide-flange shape
[E = 200 GPa; I = 60.8 × 10 6 mm 4 ]. For the loading shown, use
discontinuity functions to compute
(a) the deflection of the beam at C.
(b) the deflection of the beam at F.
A
v
p10.27 The solid 0.50 in. diameter steel [E = 30,000 ksi] shaft
shown in Figure P10.27 supports two belt pulleys. Assume that the
bearing at B can be idealized as a pin support and that the bearing
at D can be idealized as a roller support. For the loading shown, use
discontinuity functions to compute
(a) the shaft deflection at pulley A.
(b) the shaft deflection at pulley C.
B
6 ft 12 ft 6 ft
B
7 kips/ft
2.5 kips/ft
C
11 ft 9 ft
C
B
4 kips/ft
2 m 2 m 4 m 2 m
FIGURE p10.26
20 kN 10 kN
8 kN/m
D
E
2 m
F
D
C
x
x
x
p10.28 The cantilever beam shown in Figure P10.28 consists of
a W8 × 31 structural steel wide-flange shape [E = 29,000 ksi;
I = 110 in. 4 ]. For the loading shown, use discontinuity functions
to compute
(a) the slope of the beam at A.
(b) the deflection of the beam at A.
v
75 kip.ft
A B C D
5 in. 10 in. 10 in.
90 lb 120 lb
FIGURE p10.27
A B C
5 ft
FIGURE p10.28
p10.29 The simply supported beam shown in Figure P10.29
consists of a W14 × 34 structural steel wide-flange shape
[E = 29,000 ksi; I = 340 in. 4 ]. For the loading shown, use discontinuity
functions to compute
(a) the slope of the beam at E.
(b) the deflection of the beam at C.
v
A
B
6 kips/ft
3.5 kips/ft
10 ft
8 ft 8 ft 10 ft 4 ft
FIGURE p10.29
p10.30 For the beam and loading shown in Figure P10.30, use
discontinuity functions to compute
(a) the deflection of the beam at A.
(b) the deflection of the beam at midspan (i.e., at x = 2.5 m).
Assume a constant value of EI = 1,500 kN · m 2 for the beam.
v
9 kN.m
A
1 m
FIGURE p10.30
18 kN/m
B
C
4 kips/ft
3 m
D
E
C
x
x
x
422