Problem on Calculation of Stresses on Faces of a Rectangle - Direct and Bending Stresses

TL;DR

Finding stresses on rectangular faces due to eccentric load by combining direct and bending stresses.

Transcript

hello friends here in this video we will see a problem on calculation of stresses on faces of a rectangle for that here we have a question a rectangular pier which is a column is subjected to a compressive load of 450 kilo newton its width is 1500 mm and depth is 1000 mm eccentricities of load with x axis and y axis are 250 mm respectively find the... Read More

Key Insights

• 📁 Direct and bending stresses are crucial in analyzing the effects of eccentric loads on structural elements.
• ❓ Compressive and tensile stresses can coexist in a structure due to load eccentricity.
• 🦻 Understanding stress distributions in complex structures aids in designing for maximum load-bearing capacity.
• ❓ Calculation of section moduli and bending moments is essential in stress analysis for accurate results.
• ❓ The nature of stress (compression or tension) depends on the relative positioning of the load eccentricity and the structural element.
• ⚾ Rectangular sections show varying stress patterns based on the location of the load.
• 😥 Stress analysis allows for predicting potential failure points in structures under eccentric loads.

Questions & Answers

Q: How is the stress distribution affected by the eccentric load on the rectangular pier?

The eccentric load induces both direct and bending stresses, leading to varying compression and tension on different faces of the rectangle.

Q: How are the stresses at each corner of the rectangle calculated?

Stresses at corners are calculated by considering the direct stress, as well as the effects of eccentricity on bending moments and section moduli.

Q: Why does the analysis involve both direct and bending stresses?

The eccentric load causes a combination of direct axial stress and bending stress, as the load does not act directly on the centroid of the section.

Q: How are the stresses on the faces of the rectangle determined from the corner stresses?

By considering the distribution of stress at each corner, the stresses on the faces of the rectangle are determined to show compression and tension variations due to load eccentricity.

Summary & Key Takeaways

• Given rectangular pier under 450 kN compressive load with eccentricities.

• Direct and bending stresses calculated for faces a, b, c, d of the rectangle.

• Stress analysis shows compression in some faces and tension in others due to load eccentricity.