For a simply supported beam with a central point load, the maximum bending moment occurs at midspan. Which expression gives M_max?

Unlock all questions

This demo includes only 20 questions. Upgrade to access hundreds of questions, flashcards, exam simulations, and disable ads.

Full question bankExam simulationsFlashcards
From $25.99Unlock all

Study for the NANTeL Mechanical Engineering Certification Test. Master the format with quizzes, hints, and explanations designed for exam success. Ready yourself with focused preparation for your certification!

Multiple Choice

For a simply supported beam with a central point load, the maximum bending moment occurs at midspan. Which expression gives M_max?

Explanation:
In a simply supported beam with a central point load, the support reactions are equal, each carrying P/2. The bending moment starts at zero at the left end and increases linearly as you move toward the center because the moment equals the reaction times the distance from the left support. At the center, the distance is L/2, so the bending moment there is (P/2) × (L/2) = P L / 4. This point is the farthest from either support, so the moment magnitude peaks there. Beyond the center, the moment decreases back to zero at the right support. So the maximum bending moment is P L / 4.

In a simply supported beam with a central point load, the support reactions are equal, each carrying P/2. The bending moment starts at zero at the left end and increases linearly as you move toward the center because the moment equals the reaction times the distance from the left support. At the center, the distance is L/2, so the bending moment there is (P/2) × (L/2) = P L / 4. This point is the farthest from either support, so the moment magnitude peaks there. Beyond the center, the moment decreases back to zero at the right support. So the maximum bending moment is P L / 4.

More Multiple Choice Questions
Subscribe

Get the latest from Passetra

You can unsubscribe at any time. Read our privacy policy