Structures Homework - Column Slenderness Calculation
What is the criteria for determining whether a column is slender or not based on the slenderness ratio?
The criteria for determining if a column is slender is based on the slenderness ratio. If the slenderness ratio is greater than 5, the column is considered slender. If the slenderness ratio is less than 5, the column is not considered slender.
Understanding Column Slenderness Ratio
Round Column:
For a round column, the slenderness ratio is calculated by dividing the length of the column by half of its diameter. This formula is used to determine the slenderness ratio for Column 1 to Column 4 in the homework.Square Column:
For a square column, the slenderness ratio is calculated by dividing the length of the column by the product of its side length and the square root of 2. This formula is applied to Column 5 to Column 8 in the homework.Rectangle Column:
For a rectangular column, the slenderness ratio is calculated by dividing the length of the column by the minimum value between its width and depth divided by the square root of 2. This formula is utilized for Column 9 and Column 10 in the homework.Analysis of Slenderness Ratios:
Based on the given data, the slenderness ratios for the columns are calculated as follows:- Column 1: 100
- Column 2: 10.3
- Column 3: 10
- Column 4: 100
- Column 5: 100
- Column 6: 10.7
- Column 7: 10
- Column 8: 100
- Column 9: 10.1
- Column 10: 100