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

P12.63 T max = 119.8 N · m
P12.65 (a) S = 7.92 ksi
(b) σ n = 4.60 ksi, τ nt = 6.45 ksi
P12.67 (a) l = 0.3141, m = 0.5584,
n = 0.7678
(b) S = 70.3 MPa
(c) σ n = –25.2 MPa,
τ nt = 65.6 MPa
P12.69 (a) I 1 = 26, I 2 = – 470,
I 3 = – 8,259
(b) σ p1 = 32.6 MPa,
σ p2 = 12.93 MPa,
σ p3 = −19.57 MPa,
τ abs max = 26.1 MPa
P12.71 (a) I 1 = 105, I 2 = –1,400,
I 3 = –252,750
(b) σ p1 = 88.6 MPa,
σ p2 = 62.2 MPa,
σ p3 = −45.8 MPa,
τ abs max = 67.2 MPa
(c) l 1 = 0.9187, m 1 = 0.2152,
n 1 = 0.3312
Chapter 13
P13.1 (a) e OA = −243 me
(b) e OC = 349 me
P13.3 (a) e n = 352 me
(b) e t = −1,092 me
(c) γ nt = 292 mrad
P13.5 (a) e n = 1,200 me
(b) e t = 370 me
(c) γ nt = 250 mrad
P13.7 e n = 97.7 me, e t = −748 me,
γ nt = 1,799 mrad
P13.9 e n = −1,243 me, e t = −1,957 me,
γ nt = 338 mrad
P13.11 e p1 = 70.8 me, e p2 = −906 me,
γ max = 977 mrad, θ p = −37.1°,
γ abs max = 977 mrad
P13.13 e p1 = 815 me, e p2 = −575 me,
γ max = 1,390 mrad, θ p = −27.9°,
γ abs max = 1,390 mrad
P13.15 e p1 = 1,039 me, e p2 = 571 me,
γ max = 468 mrad, θ p = 24.2°,
γ abs max = 1,039 mrad
P13.17 (a) e x = −410 me, e y = −830 me,
γ xy = −340 mrad
(b) γ max = 540 mrad,
γ abs max = 890 mrad
P13.19 e p1 = 874 me, e p2 = 476 me,
γ max = 398 mrad, θ p = −32.4°,
γ abs max = 874 mrad
P13.21 e p1 = 709 me, e p2 = 451 me,
γ max = 258 mrad, θ p = 17.77°,
γ abs max = 709 mrad
P13.23 e p1 = 366 me, e p2 = −46.2 me,
γ max = 412 mrad, θ p = −19.55°,
γ abs max = 412 mrad
P13.25 (a) e x = 410 me, e y = −330 me,
γ xy = −1,160 mrad
(b) e p1 = 728 me, e p2 = −648 me,
e p3 = −34.3 me,
γ max = 1,376 mrad,
θ p = −28.7° (to e p1 )
(d) γ abs max = 1,376 mrad
P13.27 (a) e x = 525 me, e y = 415 me,
γ xy = 80 mrad
(b) e p1 = 538 me, e p2 = 402 me,
e p3 = −463 me,
γ max = 136.0 mrad,
θ p = 18.01° (to e p1 )
(d) γ abs max = 1,001 mrad
P13.29 (a) e x = −360 me, e y = 510 me,
γ xy = 1,207 mrad
(b) e p1 = 819 me, e p2 = −669 me,
e p3 = −26.5 me,
γ max = 1,488 mrad,
θ p = −27.1° (to e p2 )
(d) γ abs max = 1,488 mrad
P13.31 (a) δ AB = 0.669 mm,
δ AD = 0.01181 mm
(b) δ AC = 0.603 mm
(c) δ thick = −0.00779 mm
P13.33 Major axis = 100.223 mm,
Minor axis = 99.672 mm
P13.35 σ x = 13.73 ksi, σ z = 17.84 ksi
P13.37 e n = 872 me
P13.39 σ x = 120.4 MPa
P13.41 (a) σ x = 8.99 ksi
(b) σ y = 10.57 ksi
(c) τ xy = 1.617 ksi
P13.43 σ n = −54.0 MPa,
σ t = − 0.0180 MPa,
τ nt = −32.0 MPa
P13.45 σ x = −316 MPa,
σ y = −279 MPa,
τ xy = 103.5 MPa
P13.47 (a) σ x = −169.7 MPa,
σ y = −134.5 MPa,
τ xy = 112.1 MPa
(b) σ p1 = −38.6 MPa,
σ p2 = −266 MPa,
τ max = 113.5 MPa,
θ p = −40.54° (to σ p2 )
(c) τ abs max = 132.8 MPa
P13.49 (a) σ x = 16.73 ksi,
σ y = 20.5 ksi,
τ xy = 4.37 ksi
(b) σ p1 = 23.4 ksi,
σ p2 = 13.86 ksi,
τ max = 4.76 ksi,
θ p = −33.3° (to σ p2 )
(c) τ abs max = 11.69 ksi
P13.51 (a) e x = 220 me, e y = −580 me,
γ xy = 693 mrad
(b) e p1 = 349 me,
e p2 = −709 me,
e p3 = 79.0 me,
γ max = 1,058 mrad
(c) σ p1 = 3.89 ksi,
σ p2 = −11.36 ksi,
τ max = 7.62 ksi,
θ p = 20.5° (to σ p1 )
(d) τ abs max = 7.62 ksi
P13.53 (a) σ y = −69.3 MPa
(b) Da = −1.641 mm
(c) Dt = 0.202 mm
P13.55 (a) e x = −1,603 me, e z = 754 me,
σ y = −96.0 MPa
(b) e x = 250 me, e z = 2,610 me,
σ y = −332 MPa
(c) −32.9°C
P13.57 σ x = 61.4 MPa, σ y = 17.45 MPa
P13.59 τ abs max = 27.9 ksi
P13.61 (a) Da = − 0.01516 in.,
Db = − 0.00366 in.,
Dc = 0.00462 in.
(b) DV = − 0.0544 in. 3
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