The rigid beam embedded in the Figure is fixed at the top by two posts, one in AISI 4340 steel (dext = 40mm) and the other in 6063-T6 aluminum. If it is desired that the beam appears horizontal after applying a homogeneously distributed load of 400 kN/m; Determine the diameter of the aluminum pole that felt this condition. The posts are 500 mm long when no load is applied to the beam. Calculate the longitudinal displacements (δAl , and δFe) and the half stresses (σAl , and σFe) in the posts. Calculate the factors of safety. Use EFe = 200 Gpa , and Eal = 70 Gpa. Elastic limit AISI 4340 (Sy = 786 MPa), and AA6063-T6 (Sy = 214 MPa) (answer :dAl = 67.6 mm δAl = -0.40 mm ; δFe = -0.40 mm σAl = -55.7 Mpa ; σFe = -159 Mpa ; FSAL = 3.8 FSFE = 4.9)
The rigid beam embedded in the Figure is fixed at the top by two posts, one in AISI 4340 steel (dext = 40mm) and the other in 6063-T6 aluminum. If it is desired that the beam appears horizontal after applying a homogeneously distributed load of 400 kN/m; Determine the diameter of the aluminum pole that felt this condition. The posts are 500 mm long when no load is applied to the beam. Calculate the longitudinal displacements (δAl , and δFe) and the half stresses (σAl , and σFe) in the posts. Calculate the factors of safety. Use EFe = 200 Gpa , and Eal = 70 Gpa. Elastic limit AISI 4340 (Sy = 786 MPa), and AA6063-T6 (Sy = 214 MPa)
(answer :dAl = 67.6 mm δAl = -0.40 mm ; δFe = -0.40 mm σAl = -55.7 Mpa ; σFe = -159 Mpa ; FSAL = 3.8 FSFE = 4.9)
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