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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Define Castigliano’s theorem.
💡 Hint: Think about displacement in relation to energy.
Question 2
Easy
What is axial energy in beams?
💡 Hint: Consider how force affects length.
Practice 4 more questions and get performance evaluation
Interactive Quizzes
Engage in quick quizzes to reinforce what you've learned and check your comprehension.
Question 1
What principle does Castigliano’s theorem describe?
- Displacement in structures
- Stress concentration
- Fatigue analysis
💡 Hint: Consider how external loads relate to internal deformations.
Question 2
True or False: Shear energy only pertains to loading perpendicular to the longitudinal axis.
- True
- False
💡 Hint: Think about stress direction relative to beam length.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
A simply supported beam with a span of 5m is subjected to a central load of 30 kN. Calculate the total energy stored in the beam if the bending moment at the center is known to be 75 Nm, with E = 210 GPa and I = 0.0001 m^4.
💡 Hint: Apply the bending energy formula carefully.
Question 2
If a beam is fixed at one end with a torsional force applied, find the energy stored due to torsion and shear combined, given T = 100 Nm, L = 4 m, E = 200 GPa, and G = 80 GPa.
💡 Hint: Remember the formulas for each energy type mentioned!
Challenge and get performance evaluation