Solid Mechanics Eccentrically Loaded Columns.pptx

column theory

1. Sub- Solid Mechanics Eccentrically Loaded Columns Lect. 5 Direct & Bending Stresses Sanjivani Rural Education Society’s Sanjivani College of Engineering, Kopargaon-423603 An Autonomous Institute, Affiliated to Savitribai Phule Pune University, Pune ISO 9001:2015 Certified, Approved by AICTE, Accredited by NAAC (A Grade) & NBA Department of Civil Engineering Prepared by : Dr. Ghumare S. M. Asso Professor, Civil Engg . Department

2. Axially and Eccentrically loaded columns Axially loaded column Eccentrically loaded column

3. Direct and bending stresses for eccentrically loaded short column Eccentrically loaded column When eccentric load acts on column, it causes the bending moment which produces tension on one side and compression on opposite side e.g. Load acts on Dams, chimneys, etc. Eccentric load: A load whose line of action does not coincide with the axis of the column called as Eccentric Load. Or The load which does not pass through the axis of the column called as Eccentric Load . Eccentricity : It is the distance between axis of the column and line of action of the load / force.

4. Direct and Bending Stress

5. Direct and Bending Stress

6. Stress variation with Direct and Bending Stress (3 Conditions )

7. Eccentricity about x-x and y-y axis

8. Case III- Eccentricity about x-x axis

9. Core of Section (Kern or Kernel of Section) It is the portion or area of the cross section in which if load is acts on this area, tension will not develop anywhere and stresses produced are totally compressive throughout the section.

10. Core of Section for Rectangular Section Using No tension Condition

11. Core of Section for Rectangular Section

12. Core of Section for Circular Section Using No tension Condition

13. Core of Section for Hollow Circular Section Using No tension Condition

14. Problem.1 Find the Core of section for rectangular section of Size 300 x 200mm. Show it with sketch. Explain no tension condition.

15. N o tension condition Stress Dia. For No tension condition.

16. Problem.1 Find the Core of section for circular section of size250 diameter. Show it with sketch.

17. Next lecture numerical on Eccentrically loaded columns Thank you