Influence Lines Quiz 5

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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

Consider the following statically determinate beam and its influence line for the shear force at hinge B.

Suppose the beam is subjected to the series of moving concentrated loads shown below. The direction of travel is from left to right.

What is the absolute maximum positive shear force at B due to the moving load series?

What is the absolute maximum negative shear force at B due to the moving load series?

Question 2

Consider the following statically determinate beam and its influence line for the reaction force at A.

Suppose the beam is subjected to the series of moving concentrated loads given in Question 1. What is the absolute maximum upward reaction force at A due to the moving load series?

What is the absolute maximum downward reaction force at A due to the moving load series?

Question 3

Consider the following statically determinate beam and its influence line for the reaction force at roller C.

Suppose the beam is subjected the series of moving concentrated loads given below.

What is the absolute maximum reaction force at support C due to the moving load series?

Question 4

Consider the following statically determinate beam and its moment influence for point A.

Calculate the maximum positive bending moment at A due to a variable-length uniformly distributed load of 3 kN/m.