Use the 4-segment chart for strength-limited design of Fig. 10.12 of the text to compare the mass per unit length, \(m / L\), of a section with \(Z \sigma_{f}=10^{4} \mathrm{Nm}\) (where \(Z\) is the section modulus) made from

a. 6061 grade aluminium alloy with a shape factor \(\phi_{B}^{f}\) of 3 , strength \(\sigma_{f}=200 \mathrm{MPa}\) and density \(ho=2700 \mathrm{~kg} / \mathrm{m}^{3}\), and

b. titanium alloy with a shape factor \(\phi_{B}^{f}\) of 10 , strength \(\sigma_{f}=480 \mathrm{MPa}\) and density \(ho=4420 \mathrm{~kg} / \mathrm{m}^{3}\).

Data From Fig, 10.12

Transcribed Image Text:

Strength (MPa) 1000 Material 300 100 30 Soft wood 10 500 Strength-limited design in bending HS steel Ti alloy CFRPO O GFRP Mg AZ61 Hard wood L 1000 Mild steel Al 6061 Glass-O Strength (MPa) 1000 300 100 30 MFA 16 3000 10 10,000 Density p (kg/m) Strength constraint 107 Nm 10 Nm 10-7 10-6 106 102 103 104 105 www 10-5 10-4 10-3 10-2 Section modulus Z (m) 10-1