Solution Manual for Applied Strength of Materials, 7th Edition by Robert L. Mott and Joseph A. Untener All Chapters 1-14 Covered

SOLUTIONS MANUAL FOR ix ix




ix APPLIED STRENGTH ix




OF MATERIALS
ix ix




7thEdition ix




CompleteChapterSolutionsManual
ix ix ix




areincluded(Ch1to14)
ix ix ix ix ix ix




by

Robert L. Mott ix ix




ixJosephA.Untener ix ix




** Immediate Download
ix ix




** Swift Response
ix ix




**AllChaptersincluded
ix ix ix

,Chapter 1 ix Basic Concepts in Strength of Materials ix ix ix ix ix




1.1 to 1.11 Answers in text.
ix ix ix ix ix




1.12 𝑊 = 𝑚 ∙ 𝑔 = 1400 kg ∙ 9.81 m/s2= 13 734 (kg ∙ m)/s2= 14 × 103 N
ix ix ix ix ix ix ix ix ix ix ix ix ix ix ix ix ix ix ix ix ix




𝑾 = 𝟏3. 𝟕 𝐤𝐍 ix ix ix ix




1.13 Total Weight = 𝑚𝑔 = 3500 kg ∙ 9.81 m/s2 = 34.34 kN
ix ix ix ix ix ix ix ix ix ix ix ix




1
Each Front Wheel: 𝐹𝐹 = (2 ) (0.40)(34.34 kN) = 6.87 𝐤𝐍
ix ix ix i x ix ix ix ix ix ix




1
Each Rear Wheel: 𝐹𝑅 = (2 ) (0.60)(34.34 kN) = 𝟏0.32 𝐤𝐍
ix ix ix i x ix ix ix ix ix ix




1.14 Loading = Total Force / Area ix ix ix ix ix




Total Force = 𝑚𝑔 = 5900 kg ∙ 9.81 m/s2 = 57.9 kN
ix ix ix ix ix ix ix ix ix ix ix ix




Area = (4.5 m)(3.5 m) = 15.8 m2 ix i x ix ix ix ix ix




Loading = 57.9 kN⁄15.8 m2= 3.66 kN⁄m2= 𝟑.66 𝐤𝐏𝐚 ix ix ix ix ix ix ix ix ix ix




1.15 Force i x = 𝑚𝑔 = 35 kg ∙ 9.81 m/s2= 343 N ix ix ix ix ix ix ix ix ix ix




K = Spring Scale =4800 N⁄m = 𝐹/Δ𝐿
ix i x ix i x ix ix ix




Δ𝐿 = 𝐹 = 343 N ix
ix


ix
ix

= 0.0715 m = 71.5 × 10−3 m = 71. 𝟓 𝐦𝐦
ix ix ix ix ix ix ix ix ix ix



𝐾 4800 N/m ix




𝑤 3250 lb lb∙s2 = 101 𝐬𝐥𝐮𝐠𝐬
1.16 𝑚 = =
i x ix


i x i x


𝑔 32.2 (ft/s2) ix
= 101 ix ix

ft
ix ix




𝑤 11 600 lb∙s2 = 𝟑60 𝐬𝐥𝐮𝐠𝐬
1.17 𝑚
lb = =
i x ix



ix
ix ix i x
= 360 ix ix
ix ix




𝑔 32.2 (ft/s2) ix ft

1.19 𝑝 = 1700 psi ∙ 6.895 (kPa⁄psi) = 11 722 𝐤𝐏𝐚
ix ix ix ix ix ix ix ix ix ix




1.20 𝜎 = 24 300 psi ∙ 6.895 (kPa⁄psi) = 167 549 kPa = 𝟏68 𝐌𝐏𝐚
i x ix ix ix ix ix ix ix i x ix ix i x ix i x

,1.21 𝑠𝑢 = 14 000 psi ∙ 6.895 (kPa⁄psi) = 96 500 kPa = 𝟗𝟔.𝟓 𝐌𝐏𝐚
i x ix ix ix ix ix ix ix i x ix ix i x ix ix ix




𝑠𝑢 = 76 000 psi ∙ 6.895 (kPa⁄psi) = 524 000 kPa = 𝟓𝟐𝟒 𝐌𝐏𝐚
i x ix ix ix ix ix ix ix i x ix ix i x ix ix




3600 rev 2π rad 1 min 𝐫𝐚𝐝
× ×
ix ix ix i x


1.22 𝑛=
ix i x

ix ix
= 377
ix ix

min rev 60s ix i x

𝐬
2
(25.4mm)
1.23 𝐴 = 26.1 in2 ×
ix
i2n ix ix
ix

ix
i x

= 16 839 𝐦𝐦𝟐 ix ix ix




1.24 𝑦 = 0.08 in ∙ 25.4 (mm⁄in) = 𝟐.𝟎𝟑 𝐦𝐦
i x i x ix ix ix ix ix i x ix ix




1.25 Dimensions: 18 in × 25.4 (mm/in) = 457 mm ix ix i x i x ix ix ix ix




12 in × 25.4 (mm/in) = 305 mm ix i x i x ix ix ix ix




Area = (18 in)2 = 𝟑𝟐𝟒 𝐢𝐧𝟐 ix ix ix i x i x ix




Area = (457 mm)2 = 𝟐.𝟎𝟗 × 𝟏𝟎𝟓 𝐦𝐦𝟐 ix ix ix i x i x ix ix ix ix




Volume = 𝑉 = Area × Height ix ix ix ix ix ix




𝑉 = 324 in2 × 12 in = 𝟑𝟖𝟖𝟖 𝐢𝐧𝟑
i x i x ix ix ix ix ix ix ix




𝑉 = (1.5 ft)2 × 1.0 ft = 𝟐.𝟐𝟓 𝐟𝐭𝟑
i x i x ix ix ix ix ix i x ix ix




𝑉 = (209 × 103 mm2) × 305 mm = 𝟔.𝟑𝟕 × 𝟏𝟎𝟕 𝐦𝐦𝟑
i x i x ix ix ix ix ix ix i x i x ix ix ix ix




𝑉 = (0.457 m)2 × 0.305 m = 0.0637 m3 = 𝟔.𝟑𝟕 × 𝟏𝟎−𝟐 𝐦𝟑
i x i x ix i x i x ix i x i x ix i x i x ix ix ix ix




1.26 𝐴 = 𝜋𝐷2⁄4 = 𝜋(0.505 in)2⁄4 = 𝟎. 𝟐𝟎𝟎 𝐢𝐧𝟐
ix ix ix ix ix ix ix ix ix




(25.4 mm)2 i x




𝐴 = 0.200 in2 × = 𝟏𝟐𝟗 𝐦𝐦𝟐
ix


i x i x ix i x ix i x ix



in2
𝑃 2800 N 2800 N N
1.27 𝜎 = =
i x ix
ix


=
ix

= 35.7 ix
= 35. 𝟕 𝐌𝐏𝐚
[𝜋(10 mm)2]⁄4 mm2
ix ix ix


𝐴 (𝜋𝐷2⁄4) ix ix




𝑃 3 i x
N N
1.28 𝜎 = = 18×10 = 50.7 = 50. 𝟕 𝐌𝐏𝐚
i x


i x ix ix ix ix ix




𝐴 (12)(30) mm2 ix mm2
𝑃 1150 lb
1.29 𝜎 = = = 7188 𝐩𝐬𝐢
i x ix i x


i x i x i x i x ix ix




𝐴 (0.40 in)2 ix




𝑃 1850 lb = 𝟏𝟔 𝟕𝟓𝟎 𝐩𝐬𝐢
1.30 𝜎= =
i x ix
ix ix ix
ix ix


𝐴 [𝜋(0.375 in)2]⁄4 ix




1.31 Load on Shelf = 𝑊 = 𝑚𝑔 = 1650 kg ∙ 9.81 m⁄s2= 16 187 N
ix ix i x ix ix ix ix ix ix ix ix ix ix ix ix ix




𝑊/2 = 8093 N On each side ix ix ix ix ix ix




∑ 𝑀𝐴= 0 = (8093 N)(600 mm) − 𝐶𝑉(1200 mm)
ix ix ix ix ix ix ix ix ix ix




𝐶𝑉= 4047 N ix ix ix




𝐶 = 𝐶𝑉/ sin 30° = 8093 N
ix ix ix ix ix ix ix




𝑃 𝐶 9025 N
𝜎= ==
i x i x i x ix


ix ix


𝐴 i x 𝐴 i x
ix


[𝜋(12 mm)2]⁄4 ix i x i x
= 71.6 𝐌𝐏𝐚 ix ix




𝑃 70000 lb
= = 891 𝐩𝐬𝐢
ix i x i x



1.32 𝜎 =
ix ix
i x i x ix ix



𝐴 [𝜋(10 in)2]/4 ix

, 𝑃 (29500 lb)/3
= = 𝟖𝟎𝟑 𝐩𝐬𝐢
ix i x



1.33 𝜎 =
ix ix
𝐴
i x


(3.5 in)2 ix
i x ix




𝑃 3500 N
= = 𝟓𝟒.𝟕 𝐌𝐏𝐚
ix



1.34 𝜎 =
ix ix
𝐴
i x


(8.0 mm)2
i x


ix
ix ix ix




1.35 𝑊 = 𝑚𝑔 = 4200 kg ∙ 9.81 m/s2= 41.2 kN
ix ix ix ix ix ix ix ix ix ix ix




𝐴𝐵𝑋 = 𝐴𝐵 sin35° i x i x ix ix




𝐴𝐵𝑌 = 𝐴𝐵 cos 35° i x i x ix ix




𝐵𝐶𝑋 = 𝐵𝐶 sin55° i x ix ix ix




𝐵𝐶𝑌 = 𝐵𝐶 cos 55° i x ix ix ix




∑𝐹𝑋 = 0 = 𝐴𝐵𝑋 − 𝐵𝐶𝑋
ix ix ix ix ix ix ix




0 = 𝐴𝐵 sin35° − 𝐵𝐶 sin55° ix ix ix ix ix ix ix ix




sin55° ix




𝐴𝐵 = 𝐵𝐶 ∙ = 1.428 𝐵𝐶 ix ix ix ix ix


sin35° ix ix




∑𝐹𝑉 = 0 = 𝐴𝐵𝑌 + 𝐵𝐶𝑌 − 41.2 kN = 𝐴𝐵 cos35° + 𝐵𝐶 cos55° − 41.2 kN 0 =
ix i x ix ix ix ix ix ix ix ix ix ix ix ix ix ix ix ix ix ix ix ix ix




ix (1.428 𝐵𝐶) cos 35° + 𝐵𝐶 cos 55° − 41.2 kN ix ix ix ix ix ix ix ix ix ix




41.2 kN = 𝐵𝐶[1.170 + 0.574] = 1.743 𝐵𝐶 ix i x ix ix ix i x ix ix




41.2 kN
𝐵𝐶 = = 23.63 kN
ix i x


i x i x i x ix



1.743

𝐴𝐵 = 1.428 𝐵𝐶 = 33.75 kN i x i x ix i x ix ix




𝐴𝐵 33.75×10
3 N
Stress in Rod AB: 𝜎 = = = 𝟏𝟎𝟕.𝟒 𝐌𝐏𝐚
i x i x i x i x i x


ix ix ix ix i x i x i x i x ix ix



𝐴𝐵 𝐴 [𝜋(20 mm)2]/4 ix




𝐵𝐶 23.63×10
3 N
Stress in Rod BC: 𝜎 = = = 𝟕𝟓.𝟐 𝐌𝐏𝐚
i x i x i x i x


ix ix ix ix i x i x i x i x ix ix



𝐵𝐶 𝐴 [𝜋(20 mm)2]/4 ix




𝐵𝐷 41.2×10 3 N
Stress in Rod BD: 𝜎 = = = 𝟏𝟑𝟏.𝟏 𝐌𝐏𝐚
i x i x i x


ix ix ix ix ix ix ix ix



𝐵𝐷 𝐴 [𝜋(20 mm)2]/4 ix




1.36 𝐹 = 0.01097 𝑚𝑅𝑛2= (0.01097)(0.40)(0.60)(3000)2 N
ix ix ix ix ix ix




𝐹 = 23 695 N
i x ix ix ix




𝜋(16 mm)2 i x




𝐴 = = 201 mm2
ix


i x i x i x ix



4
𝐹 23695 N
𝜎= = = 𝟏𝟏𝟖 𝐌𝐏𝐚
i x ix i x


ix ix i x ix ix




𝐴 201 mm2 ix