Problem on Calculation of Maximum Height of Chimney - Direct and Bending Stresses

TL;DR

Calculate the maximum height of a circular chimney under given wind pressure and weight density conditions.

Transcript

hello friends here in this video we will see a problem of calculation of maximum height for a chimney here is the question a circular chimney 2.5 meter internal diameter and uniform thickness of 0.575 meter whatever is given here i'll write that in the form of data by reading the question here it is given that there is a circular chimney 2.5 meter ... Read More

Key Insights

• 🤒 The maximum height of the chimney is 93.10 meters.
• 😵 The cross-sectional area of the chimney is calculated using the outer and inner diameters.
• 🏋️ The weight of the chimney is calculated by multiplying the weight density by the volume.
• 💨 The wind force is calculated using the wind pressure and the projected area of the chimney.
• 💨 Bending stress is induced by the wind force, while direct stress is induced by the self-weight.

Questions & Answers

Q: What are the dimensions of the circular chimney?

The chimney has an internal diameter of 2.5 meters and a uniform thickness of 0.75 meters.

Q: What is the wind pressure acting on the chimney?

The wind pressure is 1 kilo newton per meter square.

Q: How is the load on the chimney due to its self-weight calculated?

The load is calculated by multiplying the weight density (21 kilo newton per meter cube) by the volume of the chimney.

Q: How is the maximum height of the chimney calculated?

The maximum height is determined by equating the direct stress induced by the self-weight and the bending stress induced by the wind force.

Summary & Key Takeaways

• A circular chimney with a 2.5 meter internal diameter and uniform thickness of 0.75 meter is subjected to a horizontal wind pressure of 1 kilo newton per meter square.

• The goal is to determine the maximum height to which the chimney can be raised to have no tension at the base.

• The masonry weighs 21 kilo newton per meter cube, and the stress developed at the base needs to be calculated.