Eq'n for fix-pin beam with partial trapazoidal load?
Eq'n for fix-pin beam with partial trapazoidal load?
(OP)
I'm designing a wall that is fixed at the base and pinned at the top, with various soil heights (none of them go full height). Could someone please post the equations for shear and moment for this loading/restraint condition? I can't find it anywhere!
Thanks!
Thanks!






RE: Eq'n for fix-pin beam with partial trapazoidal load?
In leau of that, check out Loading Condition 14 on pg. 2-300 in the ACI ASD Steel Manual 9th Edition. This would not be as exact as using software to model the soil conditions, but if you reduce each trapeziodal load to a point load in the appropriate location, these equations would give you the answers you're looking for. I would suggest the software approach though.
Good luck!
RE: Eq'n for fix-pin beam with partial trapazoidal load?
RE: Eq'n for fix-pin beam with partial trapazoidal load?
The book "Formulas for Stress and Strain" by Roark has formulas for partial triangular and partial uniform loads for the Fix-pinned end conditions.
For a trapezoidal load you would need to superimpose the triangular and uniform loads.
I could give you the formulas but without the corresponding sketches the formulas do not mean much.
AEF
RE: Eq'n for fix-pin beam with partial trapazoidal load?
If you want the equations click the button Formulas.
prex
motori@xcalcsREMOVE.com
http://www.xcalcs.com
Online tools for structural design
RE: Eq'n for fix-pin beam with partial trapazoidal load?
RE: Eq'n for fix-pin beam with partial trapazoidal load?
Mx = Rb*x - W/3a2 (x-b)3
Mmax when x=b + a2/2L *square root of 1-a/5L
Where L= height of wall, a= height of soil, and b= L-a
NB. L2 & a2 denote L squared & a squared respectively
Ra = W-Rb
Rb = Wa2/20L*L*L (5L-a)
W = total load & Ra is reaction at fixed end (bottom of wall)
Kieran
BEng(hons),CEng, M.I.Struct.E, M.I.E.I.
RE: Eq'n for fix-pin beam with partial trapazoidal load?
Right on.
Seems too simple to even post.
RE: Eq'n for fix-pin beam with partial trapazoidal load?
To everyone else, especially Prex and Kieran, thank you very much! Your help has been greatly appreciated!
RE: Eq'n for fix-pin beam with partial trapazoidal load?
RE: Eq'n for fix-pin beam with partial trapazoidal load?
RE: Eq'n for fix-pin beam with partial trapazoidal load?