2.1. Assumption

Try these first

1. 1.

   Define non-uniform bending.

   Hint

   Consider how loading changes along the beam.

2. 2.

   What is the formula connecting bending moment and curvature?

   Hint

   Think about the variables involved in bending mechanics.

3. 3.

   What is the relationship between bending moment and curvature?

   • M = EIκ
   • M = 2EIκ
   • M = E/κ

   Hint

   Consider the variables involved in bending mechanics.

4. 4.

   When a beam experiences non-uniform bending, must the shear force be non-zero?

   • True
   • False

   Hint

   Think about the requirements for equilibrium in structures.

5. 5.

   Given a beam with a varying load distribution, derive the equations for both shear and bending stress across its length.

   Hint

   Focus on the relationship between load distribution and shear force.

6. 6.

   Analyze a circular beam under a non-uniform bending scenario and explain how the stress distribution would differ from that of a rectangular beam.

   Hint

   Reflect on the definition of shear stress across different sections.