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Re[2]: [TowerTalk] The last aluminum mast comment

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Subject: Re[2]: [TowerTalk] The last aluminum mast comment
From: Hank.Lonberg@harrisgrp.com (Hank Lonberg)
Date: Fri, 09 Oct 1998 7:48 -0800
     Steve:
     
     Your calculations are a little off. Please note the following:
     
     Antenna    Ht      Area    Pw      M (ft-#)        M(in-#)
     
     TH7        .5      9.4     25      117.5           1410
     
     WARC       5       3.1     25      387.5           4650
     
     Discl      10      2.7     25      675             8100
     
     214FM      12      1.7     25      510             6120
     
     Mast:                              300.24          3603
     
     Total                              1990.24 ft-#    23,883 in-#
     
     Mast is uniformly loaded there for it sees 2/12x25=4.17 #/ft
     the mast moment is the uniform load x length x length/2
     4.17x12x6=300.24 ft-#
     
     The formula for bending stress Fb=M/S  where S= section modulus of
                                                     tube
     
     
     Then bending stress in 2" dia x 0.25 wall tube
     
        Fb=23883/S    S=.5369 inches cubed
     
        Fb=23883/0.5369 = 44,483 psi
     
        The ultimate strength of 6061-T6 Tube is Fu=38,000 psi
        The yield strength    of 6061-T6 Tube is Fy=35,000 psi
     
        Using an allowable Fb of ).6Fy then the allowable Fb= 21,000 psi
     
     It is clear to me that the 2" dia x 0.25 wall 6061-T6 tube is 
     overstressed and with the above load cominbation actually has failed.
     
     
     I hope this will help in the reflectors discussions
     
     73
     
     Hank Lonberg P.E.
     KR7X
     
     
     
     
     


______________________________ Reply Separator _________________________________
Subject: Re: [TowerTalk] The last aluminum mast comment
Author:  k5ed@dzn.com (Ed Jensen) at ~INETMAIL
To: <towertalk@contesting.com>
Date:    10/9/98 7:54 AM


Hi Steve,
     
You wrote:
     
>  I think that you forgot to multiply by the wind pressure. At 70.7 MPH, 
it's 20 psf, 80 > MPH is about 25 psf. Your analysis doesn't allow for the 
load
> distribution up the mast. (Sorry, I'm not an engineer.)
     
I wrote:
     
>>  Antenna                             area (sq ft)    load (#) (@ 80mph 
using  25#/sq ft)
>>  TH7                                         9.4                  235 
>>  Disc1 (40m 1 el)                    2.7                  68
>>  214FM (2m 14el)                   1.7                  43 
>>  WARC 2/2 (12/17m yagi)     3.1                  78
>>  mast                                        .1/ft                 2.5/ft
     
As you can see Steve, I did multiply by the wind pressure (25 psf).
     
My distribution again was:
     
>  Antenna      area (sq ft)      Hgt above tower(ft)    bending moment 
(ft#)
>  TH7               9.4                .5 
118
>  WARC 2/2     3.1               5                                   390 
>  Disc1          2.7                 10
270
>  214FM        1.7                 12 
516
> mast             1.2                  6 (avg) 
180
     
Note that bending moment is calculated from areaXwind pressureXHgt above 
tower.  So I did allow for load distribution up the mast.
     
The load WILL be supported.  Try the MARC program (I don't have it) with the 
antenna distribution I posted and let me know the results.  Placing the high 
area antennas close to the tower makes a big difference.
     
73, Ed
     
Ed Jensen, K5ED, El Paso, TX, k5ed@dzn.com
     
     
     
     
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