Practice Hoop (Circumferential) Stress - 2.1 | Pressure Vessels | Mechanics of Deformable Solids
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Hoop (Circumferential) Stress

2.1 - Hoop (Circumferential) Stress

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Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

Define hoop stress in your own words.

💡 Hint: Think about how pressure affects the walls of a cylinder.

Question 2 Easy

What is the formula for calculating hoop stress in thin-walled cylinders?

💡 Hint: Remember P.R.T. - Pressure, Radius, Thickness.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is the formula for calculating hoop stress in thin-walled cylinders?

σh = p * r / (2 * t)
σh = pr/t
σh = p/(r * t)

💡 Hint: Think about how the radius and thickness are involved in the calculation.

Question 2

True or False: In thick-walled cylinders, the hoop stress is constant throughout the thickness.

True
False

💡 Hint: Consider what happens to stress as you move from the inner to the outer wall.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

A steel cylinder is designed to withstand an internal pressure of 800 kPa with an internal radius of 20 cm and a wall thickness of 3 cm. Calculate the hoop stress and determine if the design meets a safety factor of 2.

💡 Hint: Remember to consider the safety margin when calculating.

Challenge 2 Hard

A cylindrical tank has a radial temperature gradient causing uneven thermal expansion. If the inside temperature is 200°C and the outside is 20°C, calculate the thermal stress given E=200 GPa and α=12 x 10^-6 /°C.

💡 Hint: Use the coefficients correctly to express temperature differences.

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