3 - Verification of reciprocal relation
Enroll to start learning
You’ve not yet enrolled in this course. Please enroll for free to listen to audio lessons, classroom podcasts and take practice test.
Practice Questions
Test your understanding with targeted questions
What does Castigliano’s theorem state?
💡 Hint: Look for the definitions provided in the lecture.
Explain the concept of the reciprocal relation in your own words.
💡 Hint: Think about how one effect leads to another in structural mechanics.
1 more question available
Interactive Quizzes
Quick quizzes to reinforce your learning
What does the reciprocal relation describe?
💡 Hint: Consider what happens when forces are applied.
True or False: Castigliano’s theorem can be applied to nonlinear materials.
💡 Hint: Think about the assumptions made in elastic analysis.
Get performance evaluation
Challenge Problems
Push your limits with advanced challenges
Consider a beam with a known force applied at one end. Calculate the rotation at the opposite end using the reciprocal relation and verify it against a direct calculation method.
💡 Hint: Check your results against the influence coefficients.
Demonstrate the reciprocal relation by calculating the impact of a moment applied at the free end of a clamped beam and compare it to the effect of a force applied elsewhere.
💡 Hint: Use the previously derived moments and forces as reference points.
Get performance evaluation
Reference links
Supplementary resources to enhance your learning experience.