Applied Strength Of Materials 7th Edition
by. Mott (Ch 1 to 14)
SOLUTIONS
, TABLE OF CONTENTS
1. Basic Concepts in Strength of Materials
2. Design Properties of Materials
3. Direct Stress, Deformation, and Design
4. Design for Direct Shear, Torsional Shear, and Torsional Deformation
5. Shearing Forces and Bending Moments in Beams
6. Centroids and Moments of Inertia of Areas
7. Stress due to Bending
8. Shearing Stresses in Beams
9. Deflection of Beams
10. Combined Stresses
11. Columns
12. Pressure Vessels
13. Connections
14. Thermal Effects and Elements of More than One Material
,Chapter 1 Basic Concepts in Strength of Materials
1.1 to 1.11 Ansẉers in text.
1.12 𝑊 = 𝑚 ∙ 𝑔 = 1400 kg ∙ 9.81 m/s2 = 13 734 (kg ∙ m)/s2 = 14 × 103 N
𝑾 = 𝟏3. 𝟕 𝐤𝐍
1.13 Total Ẉeight = 𝑚 𝑔 = 3500 kg ∙ 9.81 m/s2 = 34.34 kN
1
Each Front Ẉheel: 𝐹𝐹 = ( ) (0.40)(34.34 kN) = 6.87 𝐤𝐍
1
Each Rear Ẉheel: 𝐹𝑅 = ( ) (0.60)(34.34 kN) = 𝟏0.32 𝐤𝐍
1.14 Loading = Total Force / Area
Total Force = 𝑚 𝑔 = 5900 kg ∙ 9.81 m/s2 = 57.9 kN
Area = (4.5 m)(3.5 m) = 15.8 m2
Loading = 57.9 kN⁄15.8 m2 = 3.66 kN⁄m2 = 𝟑.66 𝐤𝐏𝐚
1.15 Force = 𝑚 𝑔 = 35 kg ∙ 9.81 m/s2 = 343 N
K = Sṗring Scale =4800 N⁄m = 𝐹/Δ𝐿
Δ𝐿 = 𝐹 = 343 = 0.0715 m = 71.5 × m = 71. 𝟓 𝐦𝐦
N 10−3
𝐾 4800 N/m
1.16 𝑤 3250 lḃ∙s101
= 2 = 101 𝐬𝐥𝐮𝐠𝐬
𝑚
lḃ = =
𝑔 32.2 (ft/s2) ft
1.17 𝑤 11 600 lḃ∙s360
= 2 = 𝟑60 𝐬𝐥𝐮𝐠𝐬
𝑚
lḃ = =
𝑔 32.2 (ft/s2) ft
1.19 𝑝 = 1700 ṗsi ∙ 6.895 (kṖa⁄ṗsi) = 11 722 𝐤𝐏𝐚
, 1.20 𝜎 = 24 300 ṗsi ∙ 6.895 (kṖa⁄ṗsi) = 167 549 kṖa = 𝟏68 𝐌𝐏𝐚
by. Mott (Ch 1 to 14)
SOLUTIONS
, TABLE OF CONTENTS
1. Basic Concepts in Strength of Materials
2. Design Properties of Materials
3. Direct Stress, Deformation, and Design
4. Design for Direct Shear, Torsional Shear, and Torsional Deformation
5. Shearing Forces and Bending Moments in Beams
6. Centroids and Moments of Inertia of Areas
7. Stress due to Bending
8. Shearing Stresses in Beams
9. Deflection of Beams
10. Combined Stresses
11. Columns
12. Pressure Vessels
13. Connections
14. Thermal Effects and Elements of More than One Material
,Chapter 1 Basic Concepts in Strength of Materials
1.1 to 1.11 Ansẉers in text.
1.12 𝑊 = 𝑚 ∙ 𝑔 = 1400 kg ∙ 9.81 m/s2 = 13 734 (kg ∙ m)/s2 = 14 × 103 N
𝑾 = 𝟏3. 𝟕 𝐤𝐍
1.13 Total Ẉeight = 𝑚 𝑔 = 3500 kg ∙ 9.81 m/s2 = 34.34 kN
1
Each Front Ẉheel: 𝐹𝐹 = ( ) (0.40)(34.34 kN) = 6.87 𝐤𝐍
1
Each Rear Ẉheel: 𝐹𝑅 = ( ) (0.60)(34.34 kN) = 𝟏0.32 𝐤𝐍
1.14 Loading = Total Force / Area
Total Force = 𝑚 𝑔 = 5900 kg ∙ 9.81 m/s2 = 57.9 kN
Area = (4.5 m)(3.5 m) = 15.8 m2
Loading = 57.9 kN⁄15.8 m2 = 3.66 kN⁄m2 = 𝟑.66 𝐤𝐏𝐚
1.15 Force = 𝑚 𝑔 = 35 kg ∙ 9.81 m/s2 = 343 N
K = Sṗring Scale =4800 N⁄m = 𝐹/Δ𝐿
Δ𝐿 = 𝐹 = 343 = 0.0715 m = 71.5 × m = 71. 𝟓 𝐦𝐦
N 10−3
𝐾 4800 N/m
1.16 𝑤 3250 lḃ∙s101
= 2 = 101 𝐬𝐥𝐮𝐠𝐬
𝑚
lḃ = =
𝑔 32.2 (ft/s2) ft
1.17 𝑤 11 600 lḃ∙s360
= 2 = 𝟑60 𝐬𝐥𝐮𝐠𝐬
𝑚
lḃ = =
𝑔 32.2 (ft/s2) ft
1.19 𝑝 = 1700 ṗsi ∙ 6.895 (kṖa⁄ṗsi) = 11 722 𝐤𝐏𝐚
, 1.20 𝜎 = 24 300 ṗsi ∙ 6.895 (kṖa⁄ṗsi) = 167 549 kṖa = 𝟏68 𝐌𝐏𝐚
