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WS_117968128-Gravel
8-Gravel
October 10, 2024
Solved

Maximum Moment Calculation Multiple Loads

  • October 10, 2024
  • 2 replies
  • 4053 views

Does anyone know of a more simple equation to derive the max moment of a simply supported beam. I have 12 equally spaced loads with the first and last being spaced further from the support than the typical spacing. Exterior loads are different from the interior. Heres some pictures of what im working with. The BMD diagram is my check for the moment of the HL93 Inv Loads. I've done this before when only working with a couple concentrated loads but the formula would be to long for this. Would also like to be able to check the moment at any location along the beam 

WS_11796812_0-1728596802163.png

WS_11796812_1-1728596866029.png

WS_11796812_2-1728596899160.pngWS_11796812_3-1728596959606.png

 

 

 

Best answer by terryhendicott

Hi,

Not really happy with worksheet as it takes a long time to calculate deflections.

Cheers

Terry

2 replies

T
21-Topaz II
terryhendicott21-Topaz II
21-Topaz II
October 10, 2024

Hi,

Here is one that does any number of loads on a simply supported beam.  Australian code based.  It shows how to handle multiple loads.

 

 

W
WS_117968128-GravelAuthor
8-Gravel
October 11, 2024

I'm sorry but I'm having trouble with getting this to work for my situation 

T
21-Topaz II
terryhendicott21-Topaz II
21-Topaz II
October 11, 2024

Hi,

Have stripped out all the Australian code stuff so it is far simpler

Cheers

Terry

W
Werner_E25-Diamond I
25-Diamond I
October 11, 2024

Unlike Terry, I have no idea about your area of expertise, so I just looked through your worksheet and noted where I thought something could be made easier.

Werner_E_0-1728666797310.png

 

and then

Werner_E_1-1728666885972.png

EDIT: Added gammaM.LL_x, which was missing in the sheet you posted

Werner_E_0-1728667522544.png

 

 

 

sheet attached

 

 

    W
    WS_117968128-GravelAuthor
    8-Gravel
    October 14, 2024

    thanks werner that helps out. I still cant figure out figure out how to correlate terry's sheet with mine. His defines specific loads to each distance where all mine all the same for those interior locations. Thats what im having trouble putting together. 

    W
    Werner_E25-Diamond I
    25-Diamond I
    October 14, 2024
    @WS_11796812 wrote:

    thanks werner that helps out. I still cant figure out figure out how to correlate terry's sheet with mine. His defines specific loads to each distance where all mine all the same for those interior locations. Thats what im having trouble putting together. 

    Can't comment on this. Guess you'll have to wait until @terryhendicott  is back here again.

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