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RE: shear flow
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- Subject: RE: shear flow
- From: "Michael Laplante" <Michael.Laplante(--nospam--at)cima.ca>
- Date: Tue, 21 Oct 2008 10:55:58 -0400
Andrew, That is exactly the approach I have been using. The piers act as a simply supported beam. Tied into the
foundation at the base and supported by a slab and beam system at the top. Total
height is 9.3m ( 30 ft) . The total base shear or support reaction at the
base is 1750 kN (393 kips) and at the top 700 kN ( 157 kips) triangular load
(increasing uniform load). What I am looking for is the
theory behind the value of V. From all the explanations that I have seen, V
is typically the shear due to the support condition at one end. V
the beam shear change along the height of the member but does the value used
to calculate the shear flow change in the same way as the beam shear. Is the
beam shear related to the value of the shear flow ? Just trying to get my head around the issue. Mike De : Andrew Kester, PE
[mailto:akester(--nospam--at)cfl.rr.com] Mark, Shear
flow formula is valid for any member having a cross section that is
symmetric about the y-axis, which I imagine your piers would be. f=
(V*Q)/I Q=
ybar*A Q=
first moment of the cross-sectional area between the top surface of the
beam and the contact surfaces where the shear flow is being calculated. Got
this from pgs 284-85, So
depending on the loading of the cantilever, shear may be variable (uniform
loading) or constant (point load at the end). I think I have that right. So
with your piers I don't know if the forces resolve into a point load or if they
are triangular load (increasing uniform load)... My
question would be is it worth it to vary the repair detail throughout the pier
length or will it just be simpler to maintain a typical section for
constructability purposes? Regards, Andrew Andrew
Kester, P.E. |
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