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Alternative Support Systems for Cantilever - National Transportation ...

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≈35°<br />

1.5ca1<br />

AVco<br />

1.5ca1<br />

1.5ca1<br />

1.5ca1<br />

Figure 3-5. Shear breakout <strong>for</strong> a single anchor in cylindrical concrete<br />

ca1<br />

1.5ca1<br />

strength of a single plate in shear acting perpendicular to the edge has been modified from<br />

Equation 3-2 to Equation 3-5 listed below by substituting the geometric qualities from the anchor<br />

bolt system to the appropriate geometric qualities of the embedded pipe and plate system.<br />

( ) 5 . 1<br />

0.<br />

2 ⎛<br />

e<br />

V<br />

⎜ ⎛ ⎞<br />

b 13⎜ l<br />

= ⎟<br />

⎜ ⎜ t ⎟<br />

p<br />

⎝ ⎝ ⎠<br />

Where<br />

⎞<br />

t<br />

⎟<br />

p λ<br />

⎟<br />

⎠<br />

f ′ c ca1<br />

(3-5)<br />

Vb = basic concrete breakout strength in shear of a single plate in uncracked<br />

concrete (lb.)<br />

l e = load bearing length of plate <strong>for</strong> shear (in.)<br />

tp = thickness of plate (in.)<br />

ca1 = distance from the center of the plate to the edge of concrete taken in the<br />

direction of the applied shear (in.)<br />

The arrangement of the plates in this specific design does not allow them to be analyzed as<br />

a group because their ≈35° breakout failure cones do not overlap. There<strong>for</strong>e, Equation 3-3 was<br />

utilized to determine the strength of a single plate. However, the Avcp, or the projected area of the<br />

28<br />

ca1<br />

≈35°<br />

1.5ca1

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