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

p17.36 Determine the vertical displacement of joint D for the
truss shown in Figure P17.36/37. Assume that each member has
a cross-sectional area A = 1.60 in. 2 and an elastic modulus
E = 29,000 ksi. The loads acting on the truss are P = 20 kips and
Q = 30 kips.
18 ft
p17.37 Determine the horizontal displacement of joint D for
the truss shown in Figure P17.36/37. Assume that each member
has a cross-sectional area A = 1.60 in. 2 and an elastic modulus
E = 29,000 ksi. The loads acting on the truss are P = 20 kips and
Q = 30 kips.
p17.38 Determine the horizontal displacement of joint A for
the truss shown in Figure P17.38/39/40. Assume that each member
has a cross-sectional area A = 750 mm 2 and an elastic modulus
E = 70 GPa.
p17.39 Determine the vertical displacement of joint B for the
truss shown in Figure P17.38/39/40. Assume that each member
has a cross-sectional area A = 750 mm 2 and an elastic modulus
E = 70 GPa.
p17.40 The truss shown in Figure P17.38/39/40 is constructed
from aluminum [E = 70 GPa; α = 23.6 × 10 −6 /°C] members that
each have a cross-sectional area A = 750 mm 2 . Determine the
vertical displacement of joint A under two conditions:
(a) DT = 0°C.
(b) DT = +40°C.
A
FIGURE p17.36/37
P
12 ft 18 ft
18 ft
C
B
A B D
34 kN 20 kN
C
4.8 m 8.4 m
FIGURE p17.38/39/40
y
P
x
D
E
Q
6 m
p17.41 The truss shown in Figure P17.41/42 is subjected to
concentrated loads P = 320 kN and Q = 60 kN. Members AB, BC,
DE, and EF each have a cross-sectional area A = 2,700 mm 2 . All
other members each have a cross-sectional area A = 1,060 mm 2 . All
members are made of steel [E = 200 GPa]. For the given loads,
determine the horizontal displacement of (a) joint F and (b) joint B.
C
B
A
P
9 m
FIGURE p17.41/42
p17.42 The truss shown in Figure P17.41/42 is subjected to
concentrated loads P = 200 kN and Q = 35 kN. Members AB, BC,
DE, and EF each have a cross-sectional area A = 2,700 mm 2 . All
other members each have a cross-sectional area A = 1,060 mm 2 . All
members are made of steel [E = 200 GPa]. During construction, it
was discovered that members AE and BF were fabricated 15 mm
shorter than their intended length. For the given loads and the two
member misfits, determine the horizontal displacement of (a) joint F
and (b) joint B.
p17.43 The truss shown in Figure P17.43/44/45 is subjected to
concentrated loads P = 160 kN and 2P = 320 kN. All members
are made of steel [E = 200 GPa], and each member has a crosssectional
area A = 3,500 mm 2 . Determine
(a) the horizontal displacement of joint A.
(b) the vertical displacement of joint A.
p17.44 The truss shown in Figure P17.43/44/45 is subjected to
concentrated loads P = 160 kN and 2P = 320 kN. All members are
made of steel [E = 200 GPa; α = 11.7 × 10 −6 /°C], and each member
has a cross-sectional area A = 3,500 mm 2 . If the temperature of the
truss increases by 30°C, determine
(a) the horizontal displacement of joint A.
(b) the vertical displacement of joint A.
6 m
6 m
p17.45 The truss shown in Figure P17.43/44/45 is subjected to
concentrated loads P = 160 kN and 2P = 320 kN. All members are
made of steel [E = 200 GPa; α = 11.7 × 10 −6 /°C], and each member
has a cross-sectional area A = 3,500 mm 2 . Determine
(a) the vertical displacement of joint D.
(b) the vertical displacement of joint D if the temperature of the
truss decreases by 40°C.
P
F
E
D
y
x
Q
Q
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