7.1. Beam Design Formulas with Shear and Moment Diagrams

Try these first

1. 1.

   What is the definition of a shear force?

   Hint

   Think about forces acting sideways.

2. 2.

   How do you calculate a bending moment?

   Hint

   Consider the effect of force at a distance from the pivot point.

3. 3.

   What is the main purpose of shear force in beam design?

   • To provide stability
   • To cause bending
   • To indicate maximum load

   Hint

   Think about how stability is maintained in structures.

4. 4.

   True or False: A bending moment always causes downward deflection in a beam.

   • True
   • False

   Hint

   Reflect on how loads affect deflections.

5. 5.

   A simply supported beam of 8 m length carries a uniform load of 4 kN/m. Calculate the shear force and bending moment at mid-span.

   Hint

   Use the shear and moment equations for uniform loads.

6. 6.

   A cantilever beam of length 5 m has a point load of 10 kN at the free end. Calculate maximum bending moment and shear at the fixed end.

   Hint

   Apply static equilibrium principles to solve.