Practice Force on +r and −r planes - 3 | 18. Recap | Solid Mechanics
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Knowledge

3 - Force on +r and −r planes

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Learning

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What is the formula for calculating the area of the +r plane?

💡 Hint: Consider the dimensional aspects of the cylindrical element.

Question 2

Easy

Define traction in the context of structural mechanics.

💡 Hint: Think about how pressure might exert forces on a surface.

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 is assumed about the traction on both the +r and −r planes?

  • It varies greatly.
  • It is constant.
  • It is zero.

💡 Hint: Consider why simplifications are made in models.

Question 2

True or False: The area of the +r plane is derived from height multiplied by the curved edge.

  • True
  • False

💡 Hint: Visualize how areas are computed.

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Consider a cylindrical pipe with an inner radius of 0.5 m and a wall thickness of 0.02 m. If the internal pressure exerts a traction of 150 N/m², calculate the total force exerted on the inner wall of the pipe.

💡 Hint: Calculate the inner radius and use it in the area formula.

Question 2

A cylindrical vessel has a height of 2 m and a radius of 1 m. If the internal pressure creates a constant traction of 100 N/m², determine the net outward force on the curved surface area only.

💡 Hint: Curved surface area calculation can be broken down into height times circumference.

Challenge and get performance evaluation