Ch 9. Columns Multimedia Engineering Mechanics BasicColumns FixedColumns EccentricLoads
 Chapter 1. Stress/Strain 2. Torsion 3. Beam Shr/Moment 4. Beam Stresses 5. Beam Deflections 6. Beam-Advanced 7. Stress Analysis 8. Strain Analysis 9. Columns Appendix Basic Math Units Basic Equations Sections Material Properties Structural Shapes Beam Equations Search eBooks Dynamics Statics Mechanics Fluids Thermodynamics Math Author(s): Kurt Gramoll ©Kurt Gramoll

MECHANICS - CASE STUDY

Introduction

Basic Steel Frame Structure

Center Column Joint at Top

A simple, four bay office building is being considered for additional equipment storage facility at the construction company where you work. The company would like to use the steel I-beams currently in storage at the company for the center columns. The list of available I-beams are given in the table at the left.

What is known:

• Young's modulus, E, is 200 GPa.
• Live load on the roof is 250 kg/m2.
• A factor of safety of 2.5 is required for all loads.
• Columns are rigidly fixed to the ground.
• Columns are assumed to be fixed at the top due to the rigid beams.
• Yield stress in compression is 250 MPa.

Question

What I-beam should be specified for the center column to minimize the total weight of the building? Chose only from the list at the left.

Approach

 Section Number W310 x 67 W250 x 58 x 39 x 45 x 33 x 28 x 24 x 22 x 21 x 18 W200 x 59 W150 x 37 x 46 x 30 x 36 x 22 x 22 x 24

Wide-Flange Beams Available
in the Storage Yard