A shaft is made of bronze at length AB and steel at length BC fixed at both ends. It is subjected to a concentrated torsional moment at the junction, The steel segment is 1 meter long. Assume that the Bronze has a diameter of 75mm, G = 35 GPa and τ = 60 MPa whilst the steel has a diameter of 50mm, G = 80 GPa, and τ = 80 MPa. What is the ratio of the length of steel to the length of bronze such that the allowable stress in each material is reached simultaneously?
A shaft is made of bronze at length AB and steel at length BC fixed at both ends. It is subjected to a concentrated torsional moment at the junction, The steel segment is 1 meter long. Assume that the Bronze has a diameter of 75mm, G = 35 GPa and τ = 60 MPa whilst the steel has a diameter of 50mm, G = 80 GPa, and τ = 80 MPa. What is the ratio of the length of steel to the length of bronze such that the allowable stress in each material is reached simultaneously?
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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A shaft is made of bronze at length AB and steel at length BC fixed at both ends. It is subjected
to a concentrated torsional moment at the junction, The steel segment is 1 meter long. Assume
that the Bronze has a diameter of 75mm, G = 35 GPa and τ = 60 MPa whilst the steel has a
diameter of 50mm, G = 80 GPa, and τ = 80 MPa. What is the ratio of the length of steel to the length of bronze such that the allowable stress in each material is reached simultaneously?
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