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

(c)
Chapter 8
P8.1 σ = 1.979 ksi
P8.3 σ = 443 MPa
P8.5 (a) y = 5.84 in. above the bottom surface,
I z = 256.60 in. 4 , S z = 43.97 in. 3
(b) at H, σ x = 8.07 ksi (T)
(c) at K, σ x = 4.55 ksi (C)
(d) σ x = 12.28 ksi (T)
P8.7 σ x = 27.6 MPa
P8.9 σ x = 5.06 ksi (T)
P8.11 At H: σ x = 12.54 MPa (C),
At K: σ x = 16.96 MPa (T)
P8.13 σ x = 2,300 psi (T)
σ x = 2,900 psi (C)
P8.15 σ x = 6,630 psi at C
P8.17 σ x = 141.0 MPa at A
P8.19 σ x = 26.9 ksi at C
P8.21 σ x = 142.7 MPa
P8.23 (a) σ x = 1,006 psi (T)
(b) σ x = 798 psi (C)
P8.25 w 0 = 70.2 kN/m
P8.27 d min = 24.0 mm
P8.29 b min = 5.55 in.
P8.31 w 0 = 638 lb/ft
P8.33 (a) answer not given
(b) W21 × 50
P8.35 (a) answer not given
(b) W360 × 44
P8.37 (a) σ wood = 768 psi,
σ steel = 12,380 psi
(b) w max = 625 lb/ft
P8.39 M z = 3.64 kN · m
P8.41 P max = 10,960 lb
P8.43 M allow = 73.1 kN · m
P8.45 (a) y = 14.55 in.
(b) σ H = 924 psi (C)
(c) σ K = 21,200 psi (T)
P8.47 σ H = 3,840 psi (T), σ K = 3,360 psi (C)
P8.49 P max = 13.48 kN
P8.51 P max = 59.9 kN
P8.53 σ H = 49.9 MPa (T), σ K = 23.2 MPa (C)
P8.55 σ max = 7,550 psi (C)
P8.57 e H = –201 me, e K = 721 me
P8.59 P = 29.1 kips, Q = 36.7 kips
P8.61 (a) σ B = 972 psi(C)
(b) σ C = 972 psi (T)
(c) β = 6.87°
P8.63 (a) σ A = 22.9 MPa (T)
(b) σ D = 9.01 MPa (C)
P8.65 M z = 1,333 N · m
P8.67 (a) I y = 100.6 in. 4 , I z = 277 in. 4
(b) I yz = 94.2 in. 4
(c) I p1 = 318 in. 4 , I p2 = 59.8 in. 4 , θ p = –23.4°
(d) σ = 334 psi (C)
P8.69 σ max = 17.31 ksi
P8.71 b min = 14.08 mm
P8.73 P max = 1,525 N
P8.75 P max = 1,572 N
P8.77 σ A = 47.8 MPa (C), σ B = 34.9 MPa (T)
P8.79 P max = 6.89 kips
P8.81 σ A = 11,560 psi (C), σ B = 7,930 psi (T)
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