6.1. Static Equilibrium Equations

Try these first

1. 1.

   Define dead loads and give two examples.

   Hint

   Think of the building components that do not move.

2. 2.

   What is a moment in simple terms?

   Hint

   Relate it to the action of turning a doorknob.

3. 3.

   What is the condition for the sum of vertical forces in static equilibrium?

   • ΣFy = 1
   • ΣFy = 0
   • ΣFy = -1

   Hint

   Think about balancing forces acting up and down.

4. 4.

   True or False: Only the sum of horizontal forces needs to be zero for static equilibrium.

   • True
   • False

   Hint

   Recall the total forces and moments that must be accounted for.

5. 5.

   A beam is supported at both ends and has a weight of 100 N positioned on one side at 2 m from the left end. Calculate the reaction forces at both supports assuming the system is in static equilibrium.

   Hint

   Remember to calculate moments about one of the supports to simplify the calculations.

6. 6.

   A structure has three loads: 200 N downwards at position A, 100 N downwards at position B, and a 300 N upwards at point C right in the middle of A and B. Determine if the structure is in equilibrium.

   Hint

   Check forces acting in both directions to see if they balance.