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# Design of Post embedment in concrete.

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## Design of Post embedment in concrete.

(OP)
I have seen the following formula for designing post embedment in concrete:

a = (2M^2 + 3LM)/3M + 6L

Do you know where I can find this formula?

Other engineers have used it to calculate embedment of guardrail's posts in concrete.

### RE: Design of Post embedment in concrete.

Please define the terms used in the equation.

### RE: Design of Post embedment in concrete.

(OP)
Ron.

M = Embedment of guardrail post in cobcrete slab usualy equal to 4"

L = The height of post over finish floor (or slab)
this value should be 42" as per all local codes.

a= distance of first triangular stress below finish floor

after a is obtained other engineers have used it to calculate the force below concrete using this formula

P2= (a^2 x p)/[mx(2a-m)]
Where p is the lateral force on top of the post and as per local codes this force should be 200lb

Thanks for your help.

### RE: Design of Post embedment in concrete.

Don't know about your equation but there is a good example in the Steel Designer's Manual 4th Edition published by the Steel Construction Institute.  Look under Pocketed Crane Bases.
Regards

Andy Machon

### RE: Design of Post embedment in concrete.

(OP)
More details on these formulas:

a=     2 M2 + 3L.M /3M   + 6L

P2=     a2 x P / [M(2a-M)]

M is the embedment length of the post in the concrete slab
L is the height of the guardrail post
P is the lateral load applied on the top of the post described abve
P2 is the resisting force to P below concrete slab

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