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

P 2P 2P 2P P
A
C E G H
B D F
6 m
p17.49 Determine the deflection of the compound rod at C for
the loading shown in Figure P17.49. Between A and B, the rod has
a diameter of 30 mm. Between B and C, the rod diameter is 15 mm.
Assume that E = 200 GPa for both segments of the compound rod.
500 N
8 m 8 m 8 m
FIGURE p17.43/44/45
8 m
A
640 mm 320 mm
B
C
p17.46 Determine the deflection of the beam at B for the loading
shown in Figure P17.46. Assume that EI is constant over the
length of the beam.
P
FIGURE p17.49
p17.50 The compound steel [E = 200 GPa] rod shown in Figure
P17.50/51 has a diameter of 15 mm in each of segments AB and DE
and a diameter of 30 mm in each of segments BC and CD. For the
given loading, determine the slope of the compound rod at A.
120 N/mm
A
FIGURE p17.46
a
p17.47 Determine the slope of the beam at A for the loading
shown in Figure P17.47. Assume that EI is constant over the length
of the beam.
A
FIGURE p17.47
w 0
L
2
L
p17.48 Determine the slope and deflection of the beam at C for
the loading shown in Figure P17.48. Assume that EI is constant
over the length of the beam.
B
B
L
2
b
C
C
P
A
B
p17.51 The compound steel [E = 200 GPa] rod shown in Figure
P17.50/51 has a diameter of 15 mm in each of segments AB and DE
and a diameter of 30 mm in each of segments BC and CD. For the
given loading, determine the deflection of the compound rod at C.
p17.52 A simply supported beam is shown in Figure P17.52.
Assume that EI = 15 × 10 6 kip · in. 2 for the beam. Determine
(a) the deflection at A.
(b) the slope at C.
p17.53 A cantilever beam is loaded as shown in Figure P17.53.
Assume that EI = 74 × 10 3 kN · m 2 for the beam. Determine
(a) the slope at C.
(b) the deflection at C.
C
100 mm 65 mm 65 mm
FIGURE p17.50/51
A
B
8 ft 20 ft
FIGURE p17.52
3.5 kips/ft
D
100 mm
C
E
40 kN/m
A B C
FIGURE p17.48
L
L
2
A
FIGURE p17.53
3 m
B
2 m
C
773