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

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P13.63 (a) Db = 1.272 mm,

Dc = 0.254 mm

(b) σ x = −14.15 MPa

P13.65 DL = −28.4 mm

P13.67 e x = 2,210 me,

e y = −7,190 me,

γ xy = 3,160 mrad

Chapter 14

P14.1 σ t = 1.193 MPa

P14.3 pmax ≤ 1.214 MPa

P14.5 (a) σ t = 73.0 MPa

(b) p = 2.47 MPa

P14.7 (a) σ hoop = 96.5 MPa

(b) p ≤ 3.24 MPa

P14.9 (a) h = 7.12 m

(b) σ long = 0

P14.11 (a) σ n = 76.8 MPa(T)

(b) τ =−23.8 MPa

P14.13 pallow = 150.5 psi

844

nt

P14.15 p = 1.880 MPa

P14.17 (a) p = 2.24 MPa

(b) τ abs max = 111.9 MPa

(c) τ = 113.0 MPa

abs max

P14.19 (a) σ n = 4,210 psi(T)

(b) τ = 938 psi

nt

(c) τ = 2,900 psi

absmax

P14.21 (a) e x = 158.6 me ,

e y = 782 me,

γ = 0 mrad

xy

(b) e a = 270 me,

e = 671 me

b

(c) σ n = 38.7 MPa,

σ t = 59.8 MPa

(d) τ = 12.57 MPa

nt

P14.23 (a) σ θ = 171.2 MPa

(b)

σ = θ

96.2 MPa

(c) τ = 123.1 MPa

max

P14.25 (a) σ θ = 186.5 MPa

(b) D d = 0.213 mm

P14.27 tmin ≥ 0.764 in.

P14.29 pmax = 2,280 psi

P14.31 Tube: σ r = −8,100 psi,

σ θ = −29,200 psi

Jacket: σ r = −8,100 psi,

σ θ = 28,900 psi

P14.33 (a) δ = 0.1342 mm

(b) σ θ = 338 MPa

Chapter 15

P15.1 (a) σ p1 = 2,810 psi,

σ p2 = −5,920 psi,

τ max = 4,360 psi,

θ p = −55.4° (to σ p1 ) or

θ p = 34.6° (to σ p2 )

P15.3 (a) e x = 134.0 me, e y = −45.6 me,

γ xy = 1,444 mrad

(b) e p1 = 772 me, e p2 = −683 me

(c) γ abs max = 1,455 mrad

P15.5 σ p1 = 5,970 psi,

σ p2 = −4,950 psi,

τ max = 5,460 psi

P15.7 (a) σ p1 = 32.1 MPa,

σ p2 = −14.04 MPa,

τ max = 23.1 MPa,

θ p = 33.5° (to σ p1 )

P15.9 (a) e = −110.9 me

(b) T = 328 N · m

P15.11 (a) σ n = −7.11 MPa

(b) τ nt = −53.7 MPa

(c) σ p1 = 26.4 MPa,

σ p2 = −93.1 MPa,

τ max = 59.7 MPa,

θ p = 28.0° (to σ p1 )

P15.13 σ p1 = 73.2 MPa,

σ p2 = −27.5 MPa,

τ max = 50.4 MPa,

θ p = 31.5° (to σ p1 )

P15.15 (a) σ p1 = 3.81 ksi,

σ p2 = −9.59 ksi,

τ max = 6.70 ksi

(b) σ p1 = 7.35 ksi,

σ p2 = −5.50 ksi,

τ max = 6.43 ksi

(c) σ p1 = 12.41 ksi,

σ p2 = −2.94 ksi,

τ max = 7.68 ksi

P15.17 P x = 11.57 kips, P y = 2.40 kips

P15.19 (a) e = 84.5 me

(b) e = −106.9 me

(c) e = −274 me

P15.21 σ p1 = 87.7 MPa,

σ p2 = −21.8 MPa,

τ max = 54.7 MPa,

θ p = 26.5° (to σ p1 )

P15.23 σ p1 = 6.80 MPa,

σ p2 = −0.262 MPa,

τ max = 3.53 MPa,

θ p = −11.10° (to σ p2 )

P15.25 σ p1 = 7.81 MPa,

σ p2 = −44.8 MPa,

τ max = 26.3 MPa,

θ p = −22.7° (to σ p1 )

P15.27 σ y = −22.1 MPa,

τ xy = 33.3 MPa

P15.29 σ x = 2,280 psi,

τ xz = 1,295 psi

P15.31 σ x = 31.1 MPa,

τ xz = 2.10 MPa

P15.33 (a) σ y = −5,820 psi,

τ xy = 6,960 psi

(b) σ y = −8,330 psi,

τ yz = −2,440 psi

P15.35 (a) σ z = −9,880 psi,

τ xz = 186.7 psi

(b) σ z = −7,840 psi,

τ yz = 235 psi

P15.37 σ p1 = 2.50 MPa,

σ p2 = −54.4 MPa,

τ max = 28.5 MPa

P15.39 σ p1 = 421 psi,

σ p2 = −12,240 psi,

P15.41 σ p1 = 37.3 MPa,

σ p2 = −37.3 MPa,

τ abs max = 37.3 MPa

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