Answers to Chapter Questions

Problem 1: σ_a = 200 MPa; σ_b = 31 ksi

Problem 2: W_a = 46×10³ N; W_b = 10.9×10³ lb

Problem 1: Stress = 10.1 MPa; Strain = 0.05×10^-3 (hint, pipe full)

Problem 2: Load = 5655 lb.

Problem 3: It is safe (hint, σ = 115 MPa)

Problem 4: S_y = 44 ksi, any material with S_y > 44 ksi will be adequate

Problem 5: σ _rod = 127 ksi, σ _cylinder = 25 ksi, ε _rod = 4.2×10^-3, ε _cylinder = 8.9×10^-4

Problem 1: 6.34 cm below tank top

Problem 2: 468 MPa; 0.00234; 919 kN

Problem 3: 20 m; 186.3 MPa, using -54ºC in the winter, α = 11.7×10^-6 /ºC

Problem 4: 21.45 ksi; 180.2 kips, assuming Carbon Steel E = 30×10⁶ psi, α = 6.5×10^-6 /ºC

Problem 5: σ _steel = 1727 psi; σ _copper = 7895 psi

Problem 2: DN500 Schedule 10 pipe

Problem 3: MAWP = 690 psi

Problem 4: Does not meet specifications

Problem 1: 7132.9 cm⁴; 1761.9 cm⁴

Problem 2: 112.85 in⁴; 30.7 in⁴

Problem 3: 44.32 cm⁴

Problem 1:  SF_max = 58.8 kN; BM _max = 44.14 kN×m

Problem 2:  SF_max = 4347 lbs; BM _max = 18263 lbs×ft

Problem 3:  SF_max = 35.98 kN; BM _max = 83.6 kN×m

Problem 4:  SF_max = 293.6 kips ; BM _max = 2420.6 kips×ft

Problem 1:  72.3 MPa, safe

Problem 2:  S_x = 766.9×10³ mm³, W410×46.1

Problem 3:  128.6 lb/ft

Problem 4:  Various solutions, example: Side beams Hemlock for S_min = 126 in³ ∴ choose 4″×16″; deck boards 2″×12″ σ_req = 497.6 psi ∴ choose Eastern White Pine

Problem 1:  1.9 cm

Problem 2:  0.26″

Problem 3:  3.54″

Problem 4:  depends on location, 37 cm @ 5.27 m from left end

Problem 1:  0.66×OD, 66% weight savings

Problem 2:  182.4 MPa, 162.97 MPa

Problem 3:  198 mm

Problem 4:  75.38 MPa, 39.95 MPa

Problem 1:  TBD

Problem 2:  TBD

Problem 3:  TBD

Problem 4:  TBD