2. 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. a) 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. b) What is the reaction at the left end if the maximum torque is applied to the saft, in kN.
2. 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. a) 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. b) What is the reaction at the left end if the maximum torque is applied to the saft, in kN.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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2. 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.
a) 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.
b) What is the reaction at the left end if the maximum torque is applied to the saft, in kN.
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