Workbook for Rigid Frames Using Kleinlogel Formula




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Analysis of rigid frames using Kleinlogel formula. The frames included are:

  1. Rectangular portal with fixed bases (Frame I)
  2. Rectangular portal with pinned bases (Frame II)
  3. Doubly pitched portal (Gable frame) with fixed bases (Frame III)
  4. Doubly pitched portal (Gable frame) with pinned bases (Frame IV)
  5. Triangular frame (Gable roof) with fixed bases (Frame VII)
  6. Monoslope Roof (Skillion) with pinned bases (Frame 52)

Most of the formula used in the workbook come from:

  1. British Iron and Steel Federation(1967),The Steel Designers Manual (3rd ED), Crosby Lockwood and Son Ltd.
  2. Owens, G.W and Knowles P.R(1996), Steel Designers Manual , 5th edition, The Steel Construction Institute, Blackwell Science

The older version of the book has more frames, and also includes quick design charts based on height/span ratios, along with methods for double span gable frames. The skillion (monoslope roof) came from an unknown source,  an old photocopy.

We do also have:

  1. Alfred Kleinlogel (1958), Rigid Frame Formulas, Frederick Ungar Publishing Co.
  2. Alfred Kleinlogel (1953), Beam Formulas, Frederick Ungar Publishing Co.

I have provided an index to the frames covered by the book over on scribd. The original book is not as convenient as the formula given in the steel designers manual. Kleinlogel formula are typically given for any distribution of load rather than uniformly distributed load (UDL), and make use of lots of stylised letters. May also need to make use of the beam formulas book to get appropriate factors for a given load type.

A simple  2D plane frame program is more versatile, it’s certainly faster than setting up a new workbook for a new frame using Kleinlogel formula. Though where I have used Kleinlogel formula in workbooks, I like the integration with calculating dimension and geometry, design-actions, design-action-effects, and then design of members and connections. Such parametric models allow for rapid design and assessment.