Column Strength by HC111123011234

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									Spreadsheet for estimating the strength of steel, aluminum and wood columns
Written by Neal Willford 11/6/2004 for Sport Aviation
Based on methods in "Analysis & Design of Flight Vehicle Structures" by Bruhn and ANC-18 "Design of Wood Aircraft
Estimates assume pinned connection at end points
***This spreadsheet is for educational purposes only and may contain errors. Any attempt to use the results for actua
For streamlined tubes, use the equivalent diameter for compression shown in supply catalogs for the given streamline
Input required in the yellow cells

4130 ROUND Steel Tubing

          Tubing Diameter:              0.50 inches                                      Area =
          Tubing Thickness:            0.035 inches                                      Moment of Inertia =
          Tubing Length:               27.00 inches (distance between end points)        radius of gyration (rho) =
          Tube weight =                 0.39 lbs                                         Length/rho =
          Ftu =          95000 psi (ultimate tensile stress)
          Fco =          79500 psi (yield compressive stress)      Column buckling stress =

          For tubes in compression                                                        For tubes in tension
          Maximum compressive strength =                       545 lbs                    Maximum tensile strength =
          Ultimate design compressive load:                    525 lbs                    Ultimate design tension load:
          Margin of Safety =                                   4%                         Margin of Safety =

2024-T3 ROUND Aluminum Tubing
                                                                                         D/t =
          Tubing Diameter:              0.63 inches                                      Area =
          Tubing Thickness:            0.058 inches                                      Moment of Inertia =
          Tubing Length:               27.00 inches (distance between end points)        radius of gyration (rho) =
          Tube weight =                 0.28 lbs                                         Length/rho =
          Ftu =          62000 psi (ultimate tensile stress)                             Transition Length/rho =
          Fco =          50607 psi (yield compressive stress)      Column buckling stress =

          For tubes in compression                                                        For tubes in tension
          Maximum compressive strength =                       596 lbs                    Maximum tensile strength =
          Ultimate design compressive load:                    525 lbs                    Ultimate design tension load:
          Margin of Safety =                                  14%                         Margin of Safety =

6061-T6 ROUND Aluminum Tubing
                                                                                         D/t =
          Tubing Diameter:              0.63 inches                                      Area =
          Tubing Thickness:            0.058 inches                                      Moment of Inertia =
          Tubing Length:               27.00 inches (distance between end points)        radius of gyration (rho) =
          Tube weight =                 0.27 lbs                                         Length/rho =
          Ftu =          42000 psi (ultimate tensile stress)                             Transition Length/rho =
          Fco =          39509 psi (yield compressive stress)      Column buckling stress =

          For tubes in compression                                                        For tubes in tension
          Maximum compressive strength =                       574 lbs                    Maximum tensile strength =
          Ultimate design compressive load:                    525 lbs                    Ultimate design tension load:
          Margin of Safety =                                   9%                         Margin of Safety =

Wood Columns
                                              Spruce    Douglas Fir
Modulus of Elasticity (psi)           1300000    1700000
Density (lbs/cu. In.)                  0.01563    0.01968
Ultimate Compressive Stress (psi)         5000       7000
Ultimate Tensile Stress (psi)             9400      11500

Width:                           0.88 inches                                     Area =
Height:                          0.75 inches                                     Moment of Inertia =
Tubing Length:                 27.00 inches (distance between end points)        radius of gyration (rho) =
Enter material properties for the wood being considered:                         Length/rho =
Modulus of Elasticity:     1300000 psi                                           Critical Length/rho =
Density:                     0.0156 lbs/cu. In.
Ult Comp.Stress:                5000 psi
Ult Tensile Stress:             9400 psi                   Column buckling stress =
Column weight =                  0.28 lbs

For member in compression                                                         For member in tension
Maximum compressive strength =                        549 lbs                     Maximum tensile strength =
Ultimate design compressive load:                     525 lbs                     Ultimate design tension load:
Margin of Safety =                                    4%                          Margin of Safety =
ANC-18 "Design of Wood Aircraft Structures"

empt to use the results for actual design purposes are done at the user's own risk ***
catalogs for the given streamline tube




                                         0.051 sq. inches
  Moment of Inertia =                    0.001 inches^4
  radius of gyration (rho) =              0.16 inches
  Length/rho =                             164

                  10664 psi (for the given column dimensions)

  For tubes in tension
  Maximum tensile strength =                         4857 lbs
  Ultimate design tension load:                       525 lbs
  Margin of Safety =                                825%


                    10.8 Fcc =            49325 psi
                                           0.103 sq. inches
  Moment of Inertia =                      0.004 inches^4
  radius of gyration (rho) =                0.20 inches
  Length/rho =                               134
  Transition Length/rho =                     78
                    5772 psi (for the given column dimensions)

  For tubes in tension
  Maximum tensile strength =                         6405 lbs
  Ultimate design tension load:                       525 lbs
  Margin of Safety =                               1120%


                    10.8 Fcc =            39645 psi
                                           0.103 sq. inches
  Moment of Inertia =                      0.004 inches^4
  radius of gyration (rho) =                0.20 inches
  Length/rho =                               134
  Transition Length/rho =                     68
                    5553 psi (for the given column dimensions)

  For tubes in tension
  Maximum tensile strength =                         4339 lbs
  Ultimate design tension load:                       525 lbs
  Margin of Safety =                                727%
                                       0.656 sq. inches
Moment of Inertia =                    0.031 inches^4
radius of gyration (rho) =              0.22 inches
Length/rho =                             125
Critical Length/rho =                     62


                   836 psi (for the given column dimensions)


For member in tension
Maximum tensile strength =                         6169 lbs
Ultimate design tension load:                       525 lbs
Margin of Safety =                               1075%

								
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