Beam Analysis Quiz 4

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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 beam is resting on two rollers. There is an inclined load of 80 kN applied at the midpoint of the beam.

Calculate the beam’s support reactions (Write your answer below.)

Question 2

Given the following cantilever beam and its free-body diagram, write the static equilibrium equations for calculating the support reactions at A.

Write the equilibrium equations in the input field provided below.

Question 3

Consider the free-body diagram shown below.

Write the moment equilibrium equation about point A.

Write the equation for \(\sum F_x = 0. \)

Write the equation for \(\sum F_y = 0. \)

Calculate the support reactions (Q and R). Write your answer below.

Is there an alternative formulation for the equilibrium equations that yields a different result? Explain.

Question 4

Consider the column shown below.

How many equilibrium equations do we need to calculate the support reaction forces?

How many non-zero reaction forces are there for this column?

Write the static equilibrium equations for calculating the support reactions below. You can use uppercase letters (P, Q, M, etc.) to denote the unknown reactions.

Using the equations that you wrote above, calculate the magnitude of each reaction force. Please write the force magnitudes and show their units below.