32.3. Reactions

Try these first

1. 1.

   What is the total load on a 63.6 ft beam with a uniform load of 1.6 k/ft?

   Hint

   Use the formula: Total Load = Load Per Foot × Length.

2. 2.

   If a beam supports 102 k total load, what would be the reaction at each support in a symmetric situation?

   Hint

   Divide the total load by the number of supports.

3. 3.

   What is the total load on a beam if the uniform load is 1.6 k/ft over a length of 63.6 ft?

   • 100 k
   • 102 k
   • 95 k

   Hint

   Refer back to the formula involving load and length.

4. 4.

   Each support in a simply supported beam equally carries what fraction of the total load?

   • True
   • False

   Hint

   Think about balance under symmetry conditions.

5. 5.

   A 50 ft simply supported beam carries a triangular load that peaks at 2 k/ft at one end and tapers off to zero at the other end. Calculate the reactions at the supports.

   Hint

   Think about how to find the area of a triangle for total load.

6. 6.

   If a uniformly loaded beam's reaction at one support increases by 10 k, how would this affect the forces along the beam?

   Hint

   Consider how load balancing works in a system.