158
CHAPTER 6
COLUMNS
L
159
1.00 in
160
S
R d/D; d= RD
162
163
Multiple designs possible.
Multiple designs possible.
Cable
164
Multiple designs possible.
Multiple Solutions Possible
S
166
167
168
syN
169
Data from: Example Problem 6-3
CIRCULAR COLUMN ANALYSIS Cross-section shape: Solid circular section
Data To Be Entered: Computed Values:
Length and End Fixity:
Material Properties:
Cross Section Properties:
[Note: A and r computed from]
[dimensions for circular cross section]
170
Data from: Example Problem 6-4
CROOKED COLUMN ANALYSIS Cross-section shape: Solid circular section
Solves Equation 6-13 for Allowable Load
Enter data for variables in italics in shaded boxes Use consistent U.S. Customary units.
Data To Be Entered: Computed Values:
Length and End Fixity:
Material Properties:
Values for Eqn. 6-11:
Initial crookedness = a = 0.125 in Column is: long
171
Data from: Example Problem 6-6
ECCENTRIC COLUMN ANALYSIS Cross section shape: Solid circular section
Solves Equation 6-14 for design stress and Equation 6-16 for maximum deflection
Enter data for variables in italics in shaded boxes Use consistent U.S. Customary units.
Data To Be Entered: Computed Values:
Length and End Fixity:
Material Properties:
Cross Section Properties: Argument for secant = 0.749 for strength
Radius of Gyration, r = 0.250 in –——–> Slenderness ratio, KL/r = 128.0
Values for Eqns. 6-14 and 6-16:
172
Data from: Problem 6-37
ECCENTRIC COLUMN ANALYSIS Cross section shape: Hollow structural section
Solves Equation 6-14 for design stress and Equation 6-16 for maximum deflection
Enter data for variables in italics in shaded boxes Use consistent U.S. Customary units.
Data To Be Entered: Computed Values:
Length and End Fixity:
Material Properties:
Yield strength, s y = 46000 psi
Values for Eqns. 6-14 and 6-16:
Eccentricity = e = 3.00 in Column is: short
173
Data from: Problem 6-38
ECCENTRIC COLUMN ANALYSIS Cross section shape: Solid Rectangle
Solves Equation 6-14 for design stress and Equation 6-16 for maximum deflection
Enter data for variables in italics in shaded boxes Use consistent U.S. Customary units.
Data To Be Entered: Computed Values:
Length and End Fixity:
Cross Section Properties: Argument for secant = 0.855 for strength
Values for Eqns. 6-14 and 6-16:
Eccentricity = e = 1.75 in Column is: long
Data from: Problem 6-38B
RECTANGULAR COLUMN ANALYSIS Cross-section shape: Rectangular
Refer to Figure 6-7 for analysis logic
Enter data for variables in italics in shaded boxes Use consistent U.S. Customary units.
Data To Be Entered: Computed Values:
Material Properties:
Cross Section Properties:
[Note: A and r computed from]
[dimensions for circular cross section]
Analysis of buckling about the thin dimension
175
Data from: Problem 6-39
ECCENTRIC COLUMN ANALYSIS Cross section shape: Hollow circular section
Solves Equation 6-14 for design stress and Equation 6-16 for maximum deflection
Enter data for variables in italics in shaded boxes Use consistent SI Metric
Data To Be Entered: Computed Values:
Length and End Fixity:
Cross Section Properties: Argument for secant = 0.811 for strength
[Note: Enter r or compute r = sqrt(I/A ) ] Value of secant = 1.4516
Values for Eqns. 6-14 and 6-16:
Eccentricity = e = 20 mm Column is: long
176
Data from: Problem 6-40A-Straight
HOLLOW CIRCULAR COLUMN Cross-section shape: Hollow circular section
Refer to Figure 6-7 for analysis logic
Enter data for variables in italics in shaded boxes Use consistent U.S. Customary units.
Data To Be Entered: Computed Values:
Length and End Fixity:
Cross Section Properties:
[Note: A and r computed from]
[dimensions for circular cross section]
[in following section of this spreadsheet]
177
Data from: Problem 6-40B-Crooked
CROOKED COLUMN ANALYSIS Cross–section shape: Hollow circular section
Solves Equation 6-13 for Allowable Load
Enter data for variables in italics in shaded boxes Use consistent U.S. Customary units.
Data To Be Entered: Computed Values:
Length and End Fixity:
Material Properties:
Cross Section Properties: Euler buckling load = 8101 lb
[ Note: Enter r or compute r = sqrt(I/A ) ]
Values for Eqn. 6-11: