3.1. Common Support Conditions

Try these first

1. 1.

   Define a simply supported beam.

   Hint

   Think about how it is supported.

2. 2.

   What does a cantilever beam's fixed end imply?

   Hint

   Consider the definition of a fixed beam.

3. 3.

   What is the maximum deflection formula for a cantilever beam?

   • PL³ / 3EI
   • PL³ / 48EI
   • 5wL^4 / 384EI

   Hint

   Recall the specific conditions of cantilevers.

4. 4.

   True or False: A simply supported beam can have non-zero deflection at the supports.

   • True
   • False

   Hint

   Consider the definition of simply supported beams.

5. 5.

   A simply supported beam of length 10m carries a central load of 5000N. Calculate the maximum deflection and discuss implications for safety.

   Hint

   Check the beam dimensions and properties.

6. 6.

   Given a cantilever beam with a length of 8m and a load of 2000N at the free end, derive the support force and bending moment at the fixed end.

   Hint

   Remember the equations of equilibrium.