Influence Lines Quiz 2

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The influence line 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 statically determinate beam and three diagrams are shown below.

Please identify the influence line that each diagram represents.

Diagram (A) represents:

Diagram (B) represents:

Diagram (C) represents:

Question 2

Consider the statically determinate beam shown below. To draw the moment influence line for the support at A, we can place a fictitious hinge at A and subject it to a positive bending moment. The resulting displaced shape of the beam constitutes the desired influence line.

How does joint D move when the fictitious hinge at A is subjected to a positive bending moment?

How does joint B move when the fictitious hinge at A is subjected to a positive bending moment?

How does segment BD move when the fictitious hinge at A is subjected to a positive bending moment?

Question 3

A beam and the influence line for its left support reaction are shown below.

Indicate the position of a moving concentrated load that results in the reaction force at A to reach its maximum negative value.

Question 4

For a cantilever beam, describe the shape of the reaction influence line for the fixed support.