A beam of solid circular cross-section and length 1.0 m is simply supported at its ends. The beam is required to support a lateral load of 6.0 kN uniformly distributed along its length and a torque of 1.5 kNm, with a safety factor of 2.0 against yielding. You have a choice of two materials from which to make the beam:
AISI 4142 steel: ρ = 7900 kg/m3, SY = 1584 MPa
2024-T4 aluminum: ρ = 2700 kg/m3, SY = 303 MPa
where ρ, SY are the density and uniaxial yield stress respectively.
What is the MASS of the LIGHTEST beam satisfying these conditions?
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