Use the 4-segment chart for stiffness-limited design of Fig. 10.9 of the text to compare the mass per unit length, \(m / L\), of a section with \(E I=10^{5} \mathrm{Nm}^{2}\) made from

a. structural steel with a shape factor \(\phi_{B}^{e}\) of 20 , modulus \(E=210 \mathrm{GPa}\) and density \(ho=7900 \mathrm{~kg} / \mathrm{m}^{3}\)

b. carbon fiber reinforced plastic (CFRP) with a shape factor \(\phi_{B}^{e}\) of 10, modulus \(E=70 \mathrm{GPa}\) and density \(ho=1600 \mathrm{~kg} / \mathrm{m}^{3}\).

Data From Fig, 10.9

Transcribed Image Text:

Modulus E (GPa) 300 Material 00 100 30 Hard wood 10 10 Soft wood 3 Stiffness-limited design in bending 300 Steels Glass CFRP Ti alloys Al alloys Mg alloys 500 1000 GFRP Modulus E (GPa) 100 10 Stiffness constraint 108 Nm2 MFA 16 10 Nm2 102 103 104 105 106 107 3 3000 10,000 Density p (kg/m) 109 108 107 106 105 104 103 102 10-1 Second moment of area / (m4)