Bending Moment Quiz 4

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The bending moment 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

For a given beam segment, what is the relationship between its shear diagram and the slope of its moment diagram?

Consider the shear diagram shown below. In segment CD, how does the slope of the moment diagram behave?

Question 2

Write the moment equation for the cantilever beam shown below. The origin of the coordinate system is the free end of the beam.

Question 3

A simply supported beam with a length of 12 meters is subjected to a uniformly distributed load. The shear equation for the beam is: \(V(x)=48-8x\). What is the beam’s moment equation?

Question 4

Consider a simply supported beam subjected to a load that can be described using a continuous function \(w(x)\). If \(w(x)\) is a polynomial with degree \(N\), what is the degree of the polynomial that represents the beam’s moment equation?