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

P8.83 (a) r n = 112.5 mm
(b) σ A = 76.2 MPa (C),
σ B = 84.3 MPa (T)
P8.85 (a) 1.9382 mm
(b) M max = 2,390 N · m
P8.87 (a) 4.684 mm
(b) M max = 15.46 kN · m
P8.89 (a) 0.08757 in.
(b) σ = 9.30 ksi (C)
Chapter 9
P9.1 (b) F 1A = 1,822 lb (C),
F 1B = 844 lb (C)
(c) F H = 978 lb directed
from B to A required for
equilibrium of area (1).
P9.3 (b) F 1A = 21.9 (T),
F 1B = 82.5 kN (T)
(c) F H = 60.5 kN directed
from B to A required for
equilibrium of area (1).
P9.5 τ A = 28.3 psi, τ B = not given,
τ C = not given,
τ D = 64.8 psi
P9.7 (a) τ H = 350 kPa
(b) τ K = 219 kPa
(c) w max = 20.3 kN/m
P9.9 (a) τ max = 34.5 psi
(c) σ x = 455 psi (T)
P9.11 τ max = 483 psi
P9.13 (a) Q = 1.3638 in. 3
(b) τ max = 256 psi
P9.15 (a) Q H = 6,028 mm 3
(b) τ H = 123.7 psi
(c) τ max = 173.7 psi
P9.17 (a) τ A = 327 psi, τ B = 449 psi
(b) τ C = 341 psi
(c) τ max = 484 psi
P9.19 (a) τ H = 8.25 MPa
(b) τ K = 11.70 MPa
(c) τ max = 13.07 MPa
P9.21 (a) Q H = 12.29 in. 3
(b) P max = 62.6 kips
P9.23 w max = 19.66 kips/ft
P9.25 (a) τ max = 25.6 MPa
(b) σ = 121.0 MPa (T)
(c) σ = 41.5 MPa (C)
P9.27 (a) P max = 2,990 N
(b) P max = 7.81 kN,
s max = 76.5 mm
P9.29 s max = 52.8 mm
P9.31 (a) V max = 6.85 kN
(b) s max = 281 mm
P9.33 (a) s max = 6.37 in.
(b) Wide-flange shape alone:
M allow = 175.9 kip · ft, Wideflange
shape with cover
plate: M allow = 211 kip · ft,
percentage increase = 20.0%
P9.35 (a) q = 2,170 lb/in.,
τ = 4,350 psi
(b) q = 1,012 lb/in.,
τ = 1,264 psi
(c) q = 524 lb/in., τ = 656 psi
P9.37 q = 1,280 lb/in.
P9.39 (a) τ A = 0 MPa
(b) τ = 6.96 MPa
(c) τ = 8.56 MPa
(d) τ = 22.1 MPa
(e) τ = 45.8 MPa
(f) τ = 56.6 MPa
P9.41 (a) q A = 0 lb/in.,
q B = 5,320 lb/in.,
q C = 6,380 lb/in.,
q D = 8,260 lb/in.,
q E = 7,570 lb/in.,
q F = 2,750 lb/in.,
q G = 0 lb/in.
(b) 3,320 lb
P9.43 τ A = 0 psi, τ B = 1,210 psi,
τ C = 236 psi, τ D = 1,497 psi,
τ E = 2,940 psi, τ F = 1,625 psi,
τ G = 0 psi
P9.45 τ A = 0 MPa, τ B = 9.77 MPa,
τ C = 8.87 MPa, τ D = 0 MPa
P9.47 (a) τ A = 0 MPa, τ B = 15.03 MPa,
τ C = 23.7 MPa,
τ D = 15.03 MPa, τ E = 0 MPa
(b) 14.43 kN
P9.49 τ 1–1 = 1.266 ksi, τ 2–2 = 0.762 ksi,
τ 3-3 = 2.43 ksi, τ max = 4.30 ksi
P9.51 q max = 742 lb/in.
P9.53 e = 1.125 in.
P9.55 (a) e = 32.7 mm
(b) stiffener: τ A = 0 MPa,
τ B = 19.82 MPa
flange: τ B = 11.89 MPa,
τ C = 70.0 MPa
web: τ C = 116.7 MPa,
τ D = 137.9 MPa
P9.57 e = 30.3 mm
P9.59 e = 18.75 mm
P9.61 e = 0
P9.63
π
=
⎛ + 3
e
⎞
r
⎝ π + 4⎠
2
P9.65 e = 20.2 mm
Chapter 10
P10.1 (a) v =−
Mx 0 2
2EI
ML
(b) vB
=−
2EI
(c) θ
B
0 2
=− ML 0
EI
P10.3 (a)
w0 v =− − +
120LEI x 5
( 5 L 4 x 4 L 5)
wL 0 4
(b) vA
=−
30EI
(c) θ
A
0 3
= wL 24EI
P10.5 (a)
Mx 0
v =− − +
6LEI x 2
( 3 Lx 2 L 2)
(b) θ
(c) θ
A
B
=− ML 0
3EI
= ML 0
6EI
ML 0 2
(d) vx=
L/2 =−
16EI
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