Beam Analysis Quiz 2

ChatGPT-Driven Feedback

The beam analysis quizzes serve as a crucial checkpoint to evaluate your grasp of the foundational concepts necessary for our structural analysis course. Should you encounter difficulties with these quizzes, it suggests that enhancing your knowledge in engineering mechanics - statics is essential before you can successfully embark on our structural analysis journey.

Each quiz features 4 questions. Carefully answer each one in the provided input fields. Once you are confident in your responses, click the submit button. ChatGPT will then review your answers and offer insightful feedback to help you improve.

Question 1

A simply supported beam is subjected to a concentrated load of 24 kN. The beam rests on a pin and a roller at its ends, as shown below.

We can construct the following free-body diagram for the beam.

Select all the correct equilibrium equations for the beam’s free-body diagram.

Question 2

Consider the cantilever beam shown below.

We are given three free-body diagrams, labeled A, B, and C below.

(A)
(B)
(C)

Which of the following statements is true?

Question 3

For the free-body diagram shown below, we are given the following equilibrium equation:

Please explain which equilibrium condition the equation represents.

Question 4

To calculate the support reactions for a beam, we need to draw the beam’s free-body diagram, then write and solve the following static equilibrium equations:

But, before we can write the equations, we need to establish a sign convention. This involves indicating the positive directions along the x and y axes, and the positive direction for rotation about the z axis.

Which of the following diagrams show a correct sign convention for writing the equilibrium equations?