1.2 - Governing equations
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Practice Questions
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What are the two independent variables in Timoshenko Beam Theory?
💡 Hint: Think about what differentiates Timoshenko from Euler-Bernoulli.
Write down the formula for average shear stress.
💡 Hint: It's about force distribution over an area!
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is the main distinction of Timoshenko Beam Theory from Euler-Bernoulli?
💡 Hint: Consider what effects shear has compared to bending.
True or False: In Timoshenko Beam Theory, deflection and rotation are treated independently.
💡 Hint: Think about their relationship in equations.
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Challenge Problems
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A cantilever beam with a length of 5m is subjected to a point load of 1000N at its free end. Calculate the shear force and bending moment profile along the beam first using Timoshenko Beam Theory.
💡 Hint: Identify shear and bending effects distinctly throughout the beam.
A Timoshenko beam with a rectangular cross-section experiences a shear force of 200 N and has a width of 0.1 m and height of 0.2 m. Calculate the average shear stress and compare it to calculated shear strain using the governing equations.
💡 Hint: Remember to apply TBT's unique equations for shear strain!
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