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

P3.11 P = 42,000 lb
P3.13 (a) E = 30,000 ksi
(b) σ PL = 60 ksi
(c) σ U = 159 ksi
(d) σ Y = 80 ksi
(e) σ fracture = 135 ksi
(f) true σ fracture = 270 ksi
P3.15 (a) E = 100.5 GPa
(b) σ PL = 247 MPa
(c) σ Y = 417 MPa
(d) σ U = 557 MPa
(e) σ fracture = 547 MPa
(f) true σ fracture = 909 MPa
P3.17 (a) P = 756 kN
(b) Dd = 0.1923 mm
P3.19 P = 16.99 kips
Chapter 4
P4.1 d min = 29.5 mm
P4.3 P allow = 53.6 lb
P4.5 P max = 42.0 kips
bar (1): FS = 1.670,
bar (2): FS = 2.22
P4.7 (a) FS = 3.64
(b) FS = 2.53
(c) FS = 4.05
P4.9 (a) A min = 104.4 mm 2
(b) d min = 13.68 mm
P4.11 w max = 44.1 kN/m
P4.13 (a) b min = 184.4 mm
(b) b min = 176.4 mm
Chapter 5
P5.1 d min = 53.5 mm
P5.3 P = 19.12 kips
P5.5 u B = 0.0867 in.
P5.7 (a) v B = −8.43 mm↓
(b) v C = −12.88 mm↓
P5.9 u A = 0.1207 in. →
P5.11 P = 89.3 lb
P5.13 δ = 0.0721 in.
P5.15 δ = 90.6 × 10 −6 in. ↓
P5.17 (a) v A = 40.1 mm ↑
(b) v D = 10.49 mm ↓
P5.19 (a) u D = 6.00 mm
(b) δ 1 = 5.26 mm, δ 2 =
6.00 mm, δ 3 = 5.69 mm
(c) P = 363 kN
P5.21 (a) d min = 1.309 in.
P5.23 σ 1 = 66.5 MPa, σ 2 = 137.4 MPa
P5.25 (a) P = 103.0 kips
(b) u B = 0.1725 in. ←
P5.27 (a) σ 1 = 120.1 MPa (T),
σ 2 = 55.0 MPa (T)
(b) v D = 0.991 mm ↓
P5.29 (a) F 1 = 6.67 kips, F 2 =
5.33 kips, F 3 = 4.00 kips
(b) v B = 0.1956 in. ↓
P5.31 (a) σ 1 = 23.2 ksi (T),
σ 2 = 16.02 ksi (C)
(b) u D = 0.0586 in. →
P5.33 (a) σ 1 = 176.8 MPa (T),
σ 2 = 140.2 MPa (T)
(b) u A = 4.27 mm →
P5.35 (a) F 1 = 23.1 kN (T),
F 2 = 38.8 kN (T)
(b) v ABC = 4.22 mm ↓
P5.37 (a) σ 1 = 11.79 ksi (T),
σ 2 = 22.8 ksi (T)
(b) v A = 0.0471 in. ↓
P5.39 (a) δ = −13.78 mm
(b) Dd = −0.0962 mm
P5.41 T = 202°C
P5.43 v D = 0.550 in. ↓
P5.45 DT = −41.2°C
P5.47 τ pin = 29.4 ksi
P5.49 (a) d 2 = 35.1 mm
(b) DT = −53.4°C
P5.51 (a) σ 1 = 14.27 ksi (T),
σ 2 = 13.23 ksi (T)
(b) v D = 0.497 in. ↓
P5.53 e 1 = 777 me, e 2 = −994 me
P5.55 P allow = 30.0 kN
P5.57 r min = 9 mm
Chapter 6
P6.1 τ max = 56.6 MPa
P6.3 d min = 5.35 in.
P6.5 (b) d min = 1.848 in.
P6.7 (a) τ max = 1,880 psi
(b) φ = 0.0253 rad
P6.9 T A = 5,980 N · m
P6.11 d min = 3.44 in.
P6.13 φ C/A = 0.0290 rad
P6.15 T B = 591 lb · ft
P6.17 (a) τ A = 77.4 MPa
(b) τ B = 51.6 MPa
P6.19 τ 1 = 10,430 psi, τ 2 = 6,520 psi
P6.21 d 1 = 2.39 in., d 2 = 1.904 in.
P6.23 (a) T 1 = −10,430 N · m,
T 2 = −6,000 N · m
(b) φ 1 = −0.0810 rad,
φ 2 = −0.0349 rad
(c) φ B = −0.0810 rad,
φ C = 0.1409 rad
(d) φ D = 0.1758 rad
P6.25 P = 29.5 hp, τ max = 4,680 psi
P6.27 33.6 Hz
P6.29 (a) d min = 33.8 mm
(b) d max = 31.7 mm
(c) 48.1%
P6.31 (a) d min = 29.5 mm
(b) d min = 77.4 mm
P6.33 (a) τ 1 = 48.9 MPa,
τ 2 = 15.44 MPa
(b) P = 63.7 kW, 576 rpm
(c) T A = 1,056 N · m
P6.35 (a) τ 1 = 7,370 psi, τ 2 = 4,420 psi,
τ 3 = 1,475 psi
(b) φ E/B = 0.349 rad
P6.37 (a) d min = 41.8 mm
(b) d min = 30.9 mm
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