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Calcultion of anchorage zone concrete compressive stress (fca) doesn’t make any logic for me

Calcultion of anchorage zone concrete compressive stress (fca) doesn’t make any logic for me

Calcultion of anchorage zone concrete compressive stress (fca) doesn’t make any logic for me

(OP)
I have a problem concerning understanding how the equation that calculate Anchorage Zone Compressive Stress which in (AASHTO LRFD 2012 Bridge Design Specifications 6th Ed (US) Page 5-142)

https://ibb.co/juGUs5

https://ibb.co/nP5uQQ

https://ibb.co/fyAHek

it doesn’t make any sense to me that according to this equation the anchorage zone concrete compressive stress (fca) Proportional with Lateral dimension of the effective bearing area (beff)
Because according to this equation when we increase Lateral dimension of the effective bearing area (beff)
According to our background when we increase bearing area stress will decrease, as stress Inversely proportional to the dimension of loading area

and Part of (AASHTO LRFD 2012 Bridge Design Specifications 6th Ed (US))is attached

Please clarify to me my confusion.

RE: Calcultion of anchorage zone concrete compressive stress (fca) doesn’t make any logic for me

It looks like the b_eff as shown will cancel out, since the Ab in the denominator = (a_eff)*(b_eff). So you'll still have the compressive stress inversely proportional to b_eff.

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