Tag: Spreadsheet

Simplified Torsion Analysis For Steel Beams Spreadsheet

Simplified Torsion Analysis For Steel Beams Spreadsheet

 

This program is a workbook consisting of seven (7) worksheets, described as follows:

  • Cantilever – Ecc. Conc. Load Cantilever Beam with Eccentric Concentrated Load at Free End
  • Simple Span – Ecc. Conc. Load Simple Span Beam with Eccentric Concentrated Load Applied at Midspan
  • Cont. Span – Ecc. Conc. Load Continuous Beam with Eccentric Concentrated Load Applied at All Midspans
  • Cantilever – Ecc. Unif. Load Cantilever Beam with Eccentric Uniformly Distributed Load
  • Simple Span – Ecc. Unif. Load Simple Span Beam with Eccentric Uniformly Distributed Load
  • Cont. Span – Ecc. Unif. Load Continuous Beam with Eccentric Uniformly Distributed Load on All Spans

Program Assumptions and Limitations:

  1. The simplified torsion analysis used is this program is based on the following reference: USS Steel Design Manual (1981), Chapter 7: Torsion (Figures 7.9 & 7.10, pages 157-169), by: R.L. Brockenbrough & B.G. Johnston
  2. This program is valid for AISC W, S, M, and HP shapes.
  3. This program uses the database of member dimensions and section properties from the “AISC Shapes
    Database”, Version 3.0 (2001) as well as the AISC 9th Edition (ASD) Manual (1989).
  4. This program follows the procedures and guidelines of the AISC 9th Edition Allowable Stress (ASD) Manual
    (1989).
  5. When the value of ‘Lb’ is input = 0 (or actually <= 1.0 ft.), this program will use a value = 1.0 ft.
  6. This program utilizes an “Allowable Stress Increase Factor” (ASIF) which is a multiplier of any of the calculated allowable stresses Fa, Fbx, and Fby and also the Euler column buckling stresses F’ex and F’ey.
    It is used and appears ONLY in the stress ratio calculation. Typically a value of 1.0 may be used. However, a
    value of 1.333 may be used for load combinations which include wind or seismic loads.
  7. This program does not calculate or check shear or deflection in member
  8. This program does not consider deduction for holes in members subjected to tension.
  9. This program contains numerous “comment boxes” which contain a wide variety of information including
    explanations of input or output items, equations used, data tables, etc. (Note: presence of a “comment box”
    is denoted by a “red triangle” in the upper right-hand corner of a cell. Merely move the mouse pointer to the
    desired cell to view the contents of that particular “comment box”.)

 

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Stepped Column Analysis and Design Spreadsheet

Stepped Column Analysis and Design Spreadsheet

 

“STEPCOL” is a spreadsheet program written in MS-Excel for the purpose of analyzing stepped columns
typically used in mill-type buildings to determine the effective lengths and effective length K factors.

This program is a workbook consisting of three (3) worksheets, described as follows:

Worksheet Name Description
Doc This documentation sheet
Stepped Column Eff. Lengths Effective Lengths and Effective Length Factors (K)
References References “a”, “b”, and “c” (as an ebedded PDF file object)

Program Assumptions and Limitations:

  1. This program is based on the following references:
    a. “Calculation of Effective Lengths and Effective Slenderness Ratios of Stepped Columns”
    by: John P. Anderson and James H. Woodward (AISC Engineering Journal, Oct. / 1972, pages 157-166)
    b. “Calculation of Effective Lengths of Stepped Columns”
    by: Krishna M. Agrawal and Andrew P. Stafiej (AISC Engineering Journal, 4th Quarter / 1980, pages 96-105)
    c. “Calculation of Effective Lengths of Stepped Columns” (Errata)
    by: Krishna M. Agrawal and Andrew P. Stafiej (AISC Engineering Journal, Third Quarter / 1981, page 126)
    d. “Steel Design Guide 7 – Industrial Buildings, Roofs to Anchor Rods” (2nd Edition)
    by: James M. Fisher (AISC / 2004, Appendix B, pages 89-98) (Note: does not include errata from Ref. “c”.)
  2. This program utilizes a simple iterative solution for determining the root, “Z”, to each of the characteristic
    equations shown below, per references “a” and “b” listed above. The program calculates an initial guess
    (Zst) for “Z”, evaluates the expression, increments the value of “Z” by a value equal to the initial guess, and
    then evaluates the expression again, etc., etc. The results of each pair of evaluation iterations are multiplied
    times each other to determine the location where the value passes through 0 (changes sign). Per the
    references, the first (lowest) root is the desired/correct solution to the characteristic equation, although there
    are multiple roots. Once the pair of iterations have been identified which locate the first (lowest) root, the
    program performs a linear interpolation between those two values to determine the point where “Z” = 0.
    The program performs up to a maximum of 4000 iterations to find the correct solution for “Z”.
  3. This program contains “comment boxes” which contain a wide variety of information including explanations
    of input or output items, equations used, data tables, etc. (Note: presence of a “comment box” is denoted
    by a “red triangle” in the upper right-hand corner of a cell. Merely move the mouse pointer to the desired
    cell to view the contents of that particular “comment box”.)
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