2.1 - Force on +z and −z Plane
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Practice Questions
Test your understanding with targeted questions
Define the term 'traction vector'.
💡 Hint: Think about forces acting on a surface.
What does the integration of the area element represent?
💡 Hint: Consider how small areas contribute to a total.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What does the traction vector on the +z plane include?
💡 Hint: Think about how many forces act on a surface.
True or False: The integration for the total force on the -z plane uses positive traction components.
💡 Hint: Remember the direction of the forces.
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Challenge Problems
Push your limits with advanced challenges
A vertical cylindrical tank filled with water has a base area of 3 m². Calculate the force acting on the bottom (+z) plane if the water exerts a pressure of 100 kPa.
💡 Hint: Use the basic formula for pressure force calculation.
For a hollow cylinder with an inner radius of 1 m and outer radius of 1.5 m, derive the expression for the total force on the top surface if σ varies linearly from the center to the outer edge.
💡 Hint: Set the limits for integration accordingly based on the radii.
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