7. USEFUL FORMULAS

Try these first

1. 1.

   Define shear force in your own words.

   Hint

   Think about how forces act on structures.

2. 2.

   What is a bending moment?

   Hint

   Remember the formula is related to force and distance.

3. 3.

   What is the primary purpose of a shear force in beam design?

   • To calculate how much a beam can bend
   • To represent forces acting perpendicular to the beam
   • To visualize changes in weight

   Hint

   Focus on the definition of shear force.

4. 4.

   True or False: A bending moment is always zero at the supports of a simply supported beam.

   • True
   • False

   Hint

   Remember the behavior of beams at supports.

5. 5.

   A cantilever beam is fixed at one end and has a load of 300 N applied at the free end. Calculate the shear force and bending moment at the fixed support.

   Hint

   Consider the distance from the load to the support.

6. 6.

   A simply supported beam has a span of 4 meters with a center load of 500 N. Draw the shear and moment diagrams immediately after applying the load.

   Hint

   Think about how the load distributes across the entire length of the beam.