4. Common Loading Cases (with known formulas)

Try these first

1. 1.

   What is the formula for maximum deflection of a cantilever beam with a point load?

   Hint

   Consider what happens to deflection when the load is applied at the end.

2. 2.

   What is UDL?

   Hint

   Think about how weight is applied along the beam.

3. 3.

   What is the maximum deflection for a cantilever beam with point load?

   • PL^2 / (2E)
   • PL^3 / (3EI)
   • PL^4 / (4EI)

   Hint

   Focus on the role of the load and support.

4. 4.

   True or False: UDL causes more deflection than a point load of the same total weight.

   • True
   • False

   Hint

   Think about how weight distribution works.

5. 5.

   A cantilever beam of length 5m is subjected to a point load of 1200N at the free end. Calculate the maximum deflection. Given: E = 210 GPa, I = 5000 cm^4.

   Hint

   Ensure units are consistent!

6. 6.

   A simply supported beam with length 6m and UDL of 250N/m results in deflection. What are the maximum deflections? Given: E = 210 GPa, I = 6000 cm^4.

   Hint

   Pay attention to unit conversions!