Influence Lines Quiz 3

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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

Describe the shape of the moment influence line for the fixed support of a cantilever beam.

Question 2

Consider the following beam and the influence line. The influence line is for the shear force at point B. Assuming that the beam is going to be subjected to a uniformly distributed load, indicate the location(s) of the load that would cause the negative shear at B to reach its maximum value.

Question 3

Consider the beam shown below, along with its influence line for the support reaction at E.

What is the height of the diagram at point/station B?

What would be the magnitude of the maximum negative reaction force at E, if a single concentrated load having a magnitude of 40 kN moves across the beam?

Suppose the beam is subjected to a variable-length moving distributed load having a magnitude of 5 kN/m. What is the maximum positive reaction force at E due to the distributed load?

Question 4

The influence line for the shear force at D for a statically determinate beam is show below.

What is the magnitude of the maximum negative shear due to a variable-length uniformly distributed load having a magnitude of 6 kN/m?