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Calculation of AVc
Fig.1: Showing Ca1 for calculating Avc and Avco for Anchor Group
Fig.2: Anchor Bolt Elevation for calculating Avc
Refer the above two figure ( Fig.1 and Fig.2), it should be clear by now that AVC = 16.5*(5+6+16.5) = 453.75 inch2
Calculation of AVco
Fig.3: Anchor Bolt Elevation for calculating Avco By referring the above figure (Fig.3), we can calculate Avco= 16.5*(16.5+16.5) = 544.5 inch2 Calculation of ψ ed,V
For Ca2 <1.5 Ca1 ψed,V = 0.7+(0.3*Ca2)/(1.5*Ca1) = 0.7+ (0.3*5)/(1.5*11) = 0.79
Where, Ca2 – Minimum concrete edge distance from anchor perpendicular to C a1.
Calculation of Vb
V b=(7*√d a*[l e /d a ]0.2 )*λ*√f’ c*(C a1 )1.5 ………………………..D-24
Where, da = Diameter of the anchor bolt in inch., in our case it is the part-1 of this calculation.
0.75 inch. Remember we have started with
le = Length of the anchor inserted inside the concrete in inch. In our case it is
the 0.75 inch anchor in
10 inch.
λ = A factor related to the reduced mechanical properties of concrete, for normal weight concrete λ =1. C a1 = we already know it from the Fig.1. Its value is
11 inch.
f c’ = Specified compressive strength of the concrete, in our case f c’=4000 psi (refer problem statement of part-1).
So, by putting all the values, the above equation (D-24) becomes V b = (7*√0.75*[10/0.75]0.2)*1*(√4000)*111.5 = 23482.02 lb
Now, from the equation D-22, after putting all the values at right hand side, φV cbg = φ(AVc /AVco )ψ ec,V ψ ed,V ψ c,V ψ cp,V V b = 0.7*(453.75/544.5)*1*0.79*1*1*23482.02 lb = 10821.297 lb
The concrete break out strength in shear for the anchor bolt group according to the ACI codes is calculated as The next part (Part-7) will talk about Concrete Pullout Strength in Shear. About Suvo
10821.297 lb.
Suvo is a production engineer by profession and writer/blogger by passion. Apart from maintaining this blog, he also get some freelance WORK like: Mechanical design, CAD, CAE, Assignment report writing, Website design. Read More>> Find more about me on:
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2 comments
1. asad
September 7, 2013 at 10:48 am (UTC 5.5) nyc JOB 2. asad
September 7, 2013 at 10:52 am (UTC 5.5) bt i guess there is some prob with the area calculated for shear for group of anchor.. there should be 35 degree LEVERAGE to the edge… Leave a Reply Enter your comment here...
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