Chapter 5 Introduction to Axially Loaded Compression Members.

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Presentation transcript:

Chapter 5 Introduction to Axially Loaded Compression Members

2 Compression Members ColumnsChords of TrussesBracing Members Columns are straight vertical members whose lengths are considerably greater than their thicknesses

Structural Steel Design by McCormac and Csernak, 5th Edition, Int

4 Column Failure Modes Flexural Buckling (Euler buckling) Local BucklingTorsional Buckling

5 Flexural Buckling (Euler buckling) Length, L Material, E Cross section, A or I or r End support condition

Columns are Long and slender members subjected to an axial compressive force. Buckling is Lateral deflection of columns Buckling result in instability of columns, and causes sudden failure. Buckling occurs when load P > P cr the critical load

7

Structural Steel Design by McCormac and Csernak, 5th Edition, Int Buckling Load of an elastic column is calculated using Euler Formula Dividing both sides by cross sectional area A

9 Column Strength Curve

Structural Steel Design by McCormac and Csernak, 5th Edition, Int

Structural Steel Design by McCormac and Csernak, 5th Edition, Int

Structural Steel Design by McCormac and Csernak, 5th Edition, Int The strength of long columns is predicted by Euler formula (elastic buckling control) For short columns, the failure stress will equal the yield stress. For intermediate columns, the member will fail by both yielding and buckling.

Structural Steel Design by McCormac and Csernak, 5th Edition, Int

14

AISCM 14 th Edition15

AISCM 14 th Edition16

AISCM 14 th Edition17

AISCM 14 th Edition18

AISCM 14 th Edition19

Structural Steel Design by McCormac and Csernak, 5th Edition, Int Stiffened Elements Unstiffened Elements

Structural Steel Design by McCormac and Csernak, 5th Edition, Int Limiting values for the width thickness ratio AISCS section B4 and Table B4.1a of AISCS Control of Local Buckling

Structural Steel Design by McCormac and Csernak, 5th Edition, Int Limiting values for the width thickness ratio AISCS section B4 and Table B4.1a of AISCS Control of Local Buckling

Structural Steel Design by McCormac and Csernak, 5th Edition, Int

Structural Steel Design by McCormac and Csernak, 5th Edition, Int

Structural Steel Design by McCormac and Csernak, 5th Edition, Int

Structural Steel Design by McCormac and Csernak, 5th Edition, Int

Structural Steel Design by McCormac and Csernak, 5th Edition, Int

Structural Steel Design by McCormac and Csernak, 5th Edition, Int

Structural Steel Design by McCormac and Csernak, 5th Edition, Int

Structural Steel Design by McCormac and Csernak, 5th Edition, Int

Structural Steel Design by McCormac and Csernak, 5th Edition, Int

Structural Steel Design by McCormac and Csernak, 5th Edition, Int

Structural Steel Design by McCormac and Csernak, 5th Edition, Int

Structural Steel Design by McCormac and Csernak, 5th Edition, Int HW # 4 : Problems 5-3