Question

A compound shaft is made of an aluminium rod, 40 mm diameter, and 1 m long, and a steel rod, 20 mm diameter, and 1.5 m long. If the maximum permissible shear stresses in aluminium and steel are 40 MPa and 90 MPa, and G is 28 GPa and 85 GPa, respectively, find the maximum torque that can be applied as shown. Also find the angle of twist between A and B.

Name: A compound shaft is made of an aluminium rod, 40 mm diameter, and 1 m long, and a steel rod, 20 mm diameter, and 1.5 m long. If the maximum permissible shear stresses in aluminium and steel are 40 MPa and 90 MPa, and G is 28 GPa and 85 GPa, respectively, find the maximum torque that can be applied as shown. Also find the angle of twist between A and B.
Uploaded: 2023-02-06T06:36:18-08:00
Duration: 5 min 13 s
Channel: Aarya B
Description: A compound shaft is made of an aluminium rod, 40 mm diameter, and 1 m long, and a steel rod, 20 mm diameter, and 1.5 m long. If the maximum permissible shear stresses in aluminium and steel are 40 MPa and 90 MPa, and G is 28 GPa and 85 GPa, respectively, find the maximum torque that can be applied as shown. Also find the angle of twist between A and B.

          A compound shaft is made of an aluminium rod, 40 mm diameter, and 1 m long, and a steel rod, 20 mm diameter, and 1.5 m long. If the maximum permissible shear stresses in aluminium and steel are 40 MPa and 90 MPa, and G is 28 GPa and 85 GPa, respectively, find the maximum torque that can be applied as shown. Also find the angle of twist between A and B.

A compound shaft is made of an aluminium rod, 40 mm diameter, and 1 m long, and a steel rod, 20 mm diameter, and 1.5 m long. If the maximum permissible shear stresses in aluminium and steel are 40 MPa and 90 MPa, and G is 28 GPa and 85 GPa, respectively, find the maximum torque that can be applied as shown. Also find the angle of twist between A and B.

Added by Bob J.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Aarya B

02/06/2023

Step 1

The formula for torque is given by: T = τ * J / r where T is the torque, τ is the shear stress, J is the polar moment of inertia, and r is the radius of the rod. For the aluminium rod: τ = 40 MPa = 40 * 10^6 Pa r = 40 mm / 2 = 20 mm = 20 * 10^-3 m J = π * r^4 Show more…

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A compound shaft is made of an aluminium rod, 40 mm diameter, and 1 m long, and a steel rod, 20 mm diameter, and 1.5 m long. If the maximum permissible shear stresses in aluminium and steel are 40 MPa and 90 MPa, and G is 28 GPa and 85 GPa, respectively, find the maximum torque that can be applied as shown. Also find the angle of twist between A and B.