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

P15.43 σ x = 1,545 psi, σ z = 0 psi,
τ xz = −1,376 psi
P15.45 τ abs max = 1,159 psi
P15.47 (a) σ y = −1,529 psi,
σ z = 1,092 psi,
τ yz = −603 psi
(b) σ x = 1,092 psi,
σ z = 5,910 psi,
τ xz = −1,559 psi
P15.49 (a) σ x = 10.35 MPa,
σ y = −3.71 MPa,
τ xy = 6.92 MPa
(b) σ z = −21.5 MPa,
σ y = 10.35 MPa,
τ yz = −13.47 MPa
P15.51 (a) σ z = 19.99 MPa,
σ y = −5.92 MPa,
τ yz = − 4.94 MPa
(b) σ x = 17.37 MPa,
σ y = 19.99 MPa,
τ xy = −14.78 MPa
P15.53 (a) FS = 0.870; the component
fails.
(b) σ M = 356 MPa
(c) FS = 0.984; the component
fails.
P15.55 (a) 5.60 MPa
(b) 6.47 MPa
P15.57 (a) Overstressed. FS = 0.920
(b) Acceptable. FS = 1.050
P15.59 (a) 42.0 kip · in.
(b) 51.6 kip · in.
P15.61 not safe; interaction
equation = 1.108
P15.63 (a) safe; σ p1 = 129.3 MPa,
σ p2 = −309 MPa
(b) safe; interaction
equation = 0.922
Chapter 16
P16.1 (a) L /r = 250, P cr = 318 N
(b) L /r = 160, P cr = 1,892 N
P16.3 (a) L /r = 164.1
(b) P cr = 280 kN
(c) σ cr = 73.6 MPa
P16.5 (a) P cr = 14.44 kips
(b) P cr = 336 kips
P16.7 DT = 40.6°F
P16.9 w = 56.9 kN/m
P16.11 FS = 1.334
P16.13 FS min = 1.061
P16.15 (a) P allow = 126.7 kN
(b) P allow = 31.7 kN
(c) P allow = 258 kN
(d) P allow = 507 kN
P16.17 P allow = 44.8 kips
P16.19 (a) P cr = 1,439 lb
(b) b/h = 0.714
P16.21 DT = 38.0°C
P16.23 (a) P cr = 16.02 kips
(b) v max = 0.1630 in.
P16.25 (a) v max = 0.1630 in.
(b) σ max = 45.6 MPa
P16.27 (a) P allow = 280 kips
(b) P allow = 94.2 kips
P16.29 (a) P allow = 1,264 kN
(b) P allow = 1,277 kN
P16.31 P allow = 370 kips
P16.33 (a) 31.1 mm
(b) P allow = 166.3 kN
P16.35 (a) P allow = 40.5 kips
(b) P allow = 11.39 kips
P16.37 P allow = 18.45 kips
P16.39 (a) P allow = 30,400 lb
(b) P allow = 14,800 lb
(c) P allow = 6,930 lb
P16.41 (a) not given
(b) not given
(c) ratio of P allow /P actual :
chord members
AF = 1.272, FG = 4.76,
GH = 3.54, EH = 0.946;
web members BG = 2.17,
DG = 5.27
P16.43 (a) e max = 12.20 in.
(b) e max = 3.55 in.
P16.45 L max = 1,255 mm
P16.47 P max = 4,440 lb
Chapter 17
P17.1 (a) u r = 1,764 kJ/m 3
(b) u r = 257 kJ/m 3
(c) u r = 421 kJ/m 3
P17.3 (a) U = 71.2 lb · in.
(b) u 1 = 13.53 lb · in./in. 3 ,
u 2 = 1.442 lb · in./in. 3
P17.5 (a) u = 12.33 kJ/m 3
(b) d min = 23.2 mm
P17.7 T C = 121.4 N · m
P17.9 U = 93.8 J
P17.11 U = 588 J
P17.13 h max = 27.1 mm
P17.15 m max = 13.97 kg
P17.17 (a) σ max = 7.83 MPa
(b) σ max = 2.51 MPa
P17.19 W max = 31.2 lb
P17.21 (a) P equiv = 18.89 kN
(b) v max = 54.4 mm
(c) h max = 382 mm
P17.23 (a) P max = 17.86 kN
(b) n = 16.55
(c) h max = 398 mm
P17.25 (a) v max = 0.430 in.
(b) P equiv = 2,380 lb
(c) σ max = 1,169 psi
P17.27 v 0,max = 3.20 m/s
P17.29 (a) P max = 50.3 kN
(b) σ max = 260 MPa
(c) v max = 22.4 mm
P17.31 D C = 12.44 mm ↓
P17.33 D D = 6.46 mm ↓
P17.35 D B = 0.1642 in. ←
P17.37 D D = 0.816 in. →
P17.39 D B = 62.9 mm ↓
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