1. Question 1

Try these first

1. 1.

   What does torque measure?

   Hint

   Think about how force turns an object.

2. 2.

   Define shear modulus.

   Hint

   Remember it's linked to how materials respond to stress.

3. 3.

   What does the polar moment of inertia (J) represent in torsion analysis?

   • Resistance to bending
   • Resistance to twisting
   • Resistance to axial deformation

   Hint

   Think about how shapes resist different types of forces.

4. 4.

   True or False: The torque remains constant along the length of a cylinder with a variable radius.

   • True
   • False

   Hint

   What happens to force in static systems?

5. 5.

   Calculate the total twist in a cylindrical shaft of varying radius 1 cm at one end and 3 cm at the other, under a torque of 50 Nm over a length of 2 m.

   Hint

   Consider how the varying radius impacts the polar moment of inertia.

6. 6.

   If a composite shaft consists of a bronze section with G = 40 GPa, an aluminum with G = 70 GPa, and a steel section with G = 210 GPa, how will the varying shear moduli affect the overall twist?

   Hint

   Break down each material's twist contribution before summing them up.