The rigid beam hidden in the figure is fixed at the top by two posts (dext = 50mm), one in AISI 4340 steel and the other in 6063-T6 aluminum. The posts are 500 mm long when no load is applied to the beam, and the temperature is T1 = 20°C. Calculate the longitudinal displacements (δAl, and δFe) and half stresses (σAl, and σFe) in the posts when a homogeneously distributed load of 400 kN/m is applied, and the temperature is raised to T2 = 70°C. 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
The rigid beam hidden in the figure is fixed at the top by two posts (dext = 50mm), one in AISI 4340 steel and the other in 6063-T6 aluminum. The posts are 500 mm long when no load is applied to the beam, and the temperature is T1 = 20°C. Calculate the longitudinal displacements (δAl, and δFe) and half stresses (σAl, and σFe) in the posts when a homogeneously distributed load of 400 kN/m is applied, and the temperature is raised to T2 = 70°C. 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
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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The rigid beam hidden in the figure is fixed at the top by two posts (dext = 50mm), one in AISI 4340 steel and the other in 6063-T6 aluminum. The posts are 500 mm long when no load is applied to the beam, and the temperature is T1 = 20°C. Calculate the longitudinal displacements (δAl, and δFe) and half stresses (σAl, and σFe) in the posts when a homogeneously distributed load of 400 kN/m is applied, and the temperature is raised to T2 = 70°C. 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).
R:/ δAl= -0.15 mm; σAl=-21.4 Mpa; δFe= +0.05 mm σFe = +18.1 Mpa;
![afe = 12x10-6 [1/°C];
α = 23x10-6 [1/°C]
500 mm
A
400 kN/m
0.5 m
B
50mm
0.5 m
Fe
с](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc6fc15db-102e-4169-aa53-ec02244da909%2F82956f45-6910-4d1c-b59c-f6ab7b285086%2Fohjf26i_processed.png&w=3840&q=75)
Transcribed Image Text:afe = 12x10-6 [1/°C];
α = 23x10-6 [1/°C]
500 mm
A
400 kN/m
0.5 m
B
50mm
0.5 m
Fe
с
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