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# Statics_Answers_2010_03_06 - Engineering Mechanics Statics...

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Unformatted text preview: Engineering Mechanics: Statics 1e Plesha, Gray, Costanzo Answers to Selected Even-Numbered Problems Chapter 1 1.2 Answers given in problem statement. 1.4 (a) l D 25:4 m; (b) m D 53:4 kg; (c) F D 11:4 kN; (d) I mass D 2:60 N m s 2 . 1.6 (a) l D 60:2 in : ; (b) m D 4:46 slug; (c) F D 20:1 lb; (d) M D 291 in : lb : 1.8 (a) p D 3:63 lb = in : 2 ; (b) E D 29:0 10 6 lb = in : 2 ; (c) I area = 5:65 in : 4 ; (d) I mass = 109 in : lb s 2 . 1.10 m D 0:115 kg : 1.12 g theory D 9:822 m = s 2 : 1.14 F D 2:02 10 14 N : 1.16 (a) D 65:7 kN = m 3 , D 6:70 10 3 kg = m 3 ; (b) D 20:9 kN = m 3 , D 2:13 10 3 kg = m 3 ; (c) D 0:314 kN = m 3 , D 32:0 kg = m 3 ; (d) D 21:4 kN = m 3 , D 2:19 10 3 kg = m 3 . 1.18 0:217 lb. 1.20 (a) D 0:621 rad; (b) D 0:0188 mrad; (c) D 266 ı ; (d) D 0:0146 ı . Chapter 2 2.2 (a) E R D 255 mm @ 36:0 ı ; (b) E R D 1:10 kip @ 142 ı . 2.4 (a) E R D 6:32 m @ 71:6 ı ; (b) E R D 7:21 m @ 56:3 ı ; (c) E R D 17:0 m 2 @ 45:0 ı ; (d) E R D 1:41 @ 45:0 ı . 2.6 ˛ D 16:0 ı or 104 ı . 2.8 F D 1:60 kN, D 90 ı . 2 kN a 3 kN sin 60 ◦ Possible choices for F . 2 kN sin 30 ◦ 60 ◦ 30 ◦ a 3 kN 2.10 (a) 364 N @ 147 ı ; (b) 239 N @ 257 ı ; (c) P D 607 N; (d) ˛ D ı , P D 304 N. 1 Last modified: March 6, 2010 Engineering Mechanics: Statics 1e Plesha, Gray, Costanzo 2.12 ˛ D 60 ı , F 1 D 246 N. 2.14 (a) j E F a j D 25:9 lb, j E F b j D 96:6 lb; (b) j E F a j D 29:9 lb ; j E F b j D 112 lb. 2.16 ˇ D 90 ı , F OC D 200 lb. 2.18 E R D . 18 O { C 35 O |/ kN. 2.20 E F D 1:60 O | kN. 2.22 (a) E R D . 304 O { C 200 O |/ N; (b) E R D . 53:6 O { 233 O |/ N; (c) P D 607 N; (d) ˛ D ı , P D 304 N. 2.24 ˛ D 60 ı , F 1 D 246 N, E F 1 D . 213 O { C 123 O |/ N. 2.26 (a) E r AB D .4 O { 3 O |/ m; (b) E r BA D . 4 O { C 3 O |/ m; (c) O u AB D 4 5 O { 3 5 O | ; (d) O u BA D 4 5 O { C 3 5 O | ; (e) E F AB D .9:6 O { 7:2 O |/ kN; (f) E F BA D . 9:6 O { C 7:2 O |/ kN. 2.28 E R D . 93:6 O { C 541 O |/ N, j E R j D 549 N, E R D 549 N @ 99:8 ı . 2.30 F 2 =F 1 D 1:50 . 2.32 ˛ D 33:7 ı , R D 6:42 kN. 8 kN 12 kN y x α Possible choices for F R O A 2.34 (a) Not safe; (b) Safe (the working load multiplier is 70%, determined using linear interpolation); (c) Safe (the working load multiplier is 96%, determined using linear interpolation). 2.36 R x D 100 N, R y D 200 N, R t D 13:40 N, R n D 223:2 N. 2.38 (a) R x D 213 N, R y D 51:7 N; (b) R t D 187 N, R n D 114 N. 2.40 E r AB D . 20 O { C 48 O |/ mm, x B D 165 mm, y B D 48 mm. 2.42 E r AC D . 50 O { C 120 O |/ mm, x C D 135 mm, y C D 120 mm. 2.44 E r OA D .95 O { C 56 O |/ mm ; E r OB D .68 O { C 92 O |/ mm ; E r OC D .17 O { C 160 O |/ mm ;x B D 68 mm ;y B D 92 mm : 2.46 E F D . 4:59 O { C 26:8 O | C 12:6 O k/ lb, E Q D .39:8 O { C 30:0 O | 33:4 O k/ lb, E P D .50:0 O { 70:7 O | C 50:0 O k/ lb, E R D .85:2 O { 13:9 O | C 29:2 O k/ lb....
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