5. Beam Deflection

Try these first

1. 1.

   What happens to a beam when an external load is applied?

   Hint

   Think about what happens with weight on a ruler.

2. 2.

   If you double the applied load on a beam, what happens to deflection?

   Hint

   Double the force, double the effect.

3. 3.

   What is the primary factor that increases beam deflection?

   • Decrease in span length
   • Increase in applied load
   • Increase in modulus of elasticity

   Hint

   If you increase weight on a beam, what would happen to its bending?

4. 4.

   True or False: A higher moment of inertia results in greater deflection.

   • True
   • False

   Hint

   Think about how a thick beam resists bending compared to a thin one.

5. 5.

   A beam of length 8 m has a uniform load of 15 kN/m. Calculate the deflection at the free end considering E = 120 GPa and I = 120 x 10^6 mm^4.

   Hint

   Start by ensuring all units are consistent before plugging numbers into the formula.

6. 6.

   For a cantilever beam of 4 m length subjected to a point load of 20 kN at the free end, find the deflection using E=200 GPa and I=200 x 10^6 mm^4.

   Hint

   Identify the correct formula for a cantilever setup before substitution.