Alternative Support Systems for Cantilever - National Transportation ...
Alternative Support Systems for Cantilever - National Transportation ...
Alternative Support Systems for Cantilever - National Transportation ...
Create successful ePaper yourself
Turn your PDF publications into a flip-book with our unique Google optimized e-Paper software.
Vbfp<br />
l e<br />
tfp<br />
bfp<br />
f’c<br />
ca1<br />
= the basic concrete breakout strength in shear of one side of a flexural plate in<br />
cracked concrete (lb.)<br />
= the equivalent bearing length of the annular plate, taken conservatively as 1/8 of<br />
the circumference of the centerline of the plate (in.)<br />
= the thickness of the annular plate (in.)<br />
= the bearing width of the annular plate (in.)<br />
= specified compressive strength of concrete (psi)<br />
= the edge distance, taken from the center of the width of the plate to the nearest<br />
concrete edge (in.)<br />
Figure 3-11. The tensile and compressive <strong>for</strong>ces seen as shears acting parallel to an edge<br />
Once the basic concrete breakout strength of one plate bearing area has been determined,<br />
then the total shear breakout capacity can be determined using Equation 3-12. Equations 3-11<br />
and 3-12 are used to determine the shear strength perpendicular to an edge. To determine the<br />
shear strength parallel to an edge, the perpendicular shear strengths obtained need to be doubled.<br />
See Figure 3-12 <strong>for</strong> a visual representation of the values in Equations 3-11 and 3-12.<br />
A<br />
= V<br />
(3-12)<br />
Vcp<br />
V c ψ<br />
bfp<br />
ed,<br />
Vψ<br />
c,<br />
Vψ<br />
h,<br />
V<br />
AVco<br />
Where<br />
Vcbfp<br />
AVcfp<br />
Vt<br />
bfp<br />
= The nominal concrete breakout strength in shear of plate configuration<br />
where the plate bearing areas are not acting as a group (lb.)<br />
= The projected area of the failure surface <strong>for</strong> a single bearing location on the<br />
plate, used to determine the shear strength (in 2 )<br />
=(3.0ca1+ le)*(3.0ca1 + tfp)<br />
AVco = projected concrete failure area of a single anchor, <strong>for</strong> calculation of<br />
strength in shear, if not limited by corner influences, spacing, or member<br />
thickness (in. 2 )<br />
= 4.5(ca1) 2 , based on an ≈35° failure cone (Figure 3-4)<br />
Vc<br />
35