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

v
20 kips 30 kips 20 kips
A B C D E
7 ft 7 ft 7 ft 7 ft
x
p11.18 For the beam shown in Figure P11.18, assume that EI =
100,000 kip ⋅ ft 2 and use discontinuity functions to determine
(a) the reactions at A, C, and D.
(b) the beam deflection at B.
v
75 kips
7 kips/ft
FIGURE p11.14
p11.15 A propped cantilever beam is loaded as shown in Figure
P11.15. Assume that EI = 100,000 kip ⋅ ft 2 , and use discontinuity
functions to determine
(a) the reactions at A and B.
(b) the beam deflection at x = 7 ft.
A
v
12 kips/ft
FIGURE p11.15
p11.16 A propped cantilever beam is loaded as shown in Figure
P11.16. Assume that EI = 200,000 kN · m 2 , and use discontinuity
functions to determine
(a) the reactions at A and B.
(b) the beam deflection at C.
v
16 ft
A B C
FIGURE p11.16
6 m
2 m
B
120 kN/m
p11.17 For the beam shown in Figure P11.17, assume that EI =
200,000 kN · m 2 and use discontinuity functions to determine
(a) the reactions at A, C, and D.
(b) the beam deflection at B.
v
120 kN/m
x
x
A B
C D
FIGURE p11.18
8 ft 8 ft 16 ft
p11.19 For the propped cantilever beam shown in Figure P11.19,
assume that EI = 100,000 kip ⋅ ft 2 and use discontinuity functions
to determine
(a) the reactions at B and D.
(b) the beam deflection at C.
v
A B C D
FIGURE p11.19
5 kips/ft
10 ft 12 ft
8 ft
p11.20–p11.21 For the beams shown in Figures P11.20 and
P11.21, assume that EI = 200,000 kN · m 2 and use discontinuity
functions to determine
(a) the reactions at B, C, and D.
(b) the beam deflection at A.
120 kN
A B
C D
3 m 6 m
FIGURE p11.20
v
420 kN.m
60 kN/m
60 kN/m
6 m
x
x
x
A B
C D
FIGURE p11.17
3 m 3 m
4 m
x
A B
C D
3 m 6 m
FIGURE p11.21
6 m
x
460