Advanced Mechanics of Materials and Applied Elasticity, Fifth Edition

Answers to Selected Problems

Chapter 1 Analysis of Stress

1.1. P = 4.27 kN

1.4. P = 32.5 kN, θ = 26.56°

1.6. P_all = 38.3 kN

1.8. σ_x′ = 156 MPa, τ_x′y′ = –131 MPa

1.10. σ_x′ = –13.15 MPa, τ_x′y′ = –15.67 MPa

1.11. F = 67.32 kN/m³

1.14. F_x = F_y = F_z = 0

1.21.

a. σ = 153.3 MPa,

b. σ = 23.1 MPa

1.26.

a. σ₁ = 121 MPa, σ = –71 MPa, τ_max = 96 MPa

b. σ₁ = 200 MPa, σ₂ = –50 MPa, τ_max = 125 MPa

1.31.

a. σ_x = 38.68 MPa, σ_y = 12.12 MPa, τ_xy = 7 MPa

b. σ₁ = 40.41 MPa, σ₂ = 10.39 MPa,

1.34. P = 3πpr²

1.37. τ_max = 48 MPa, θ_p = 29°

1.38. σ_w = 61.5 MPa, τ_w = 26.3 ...