PROFIS ENGINEERING
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The spacing( s y12) between row 1 and row 2 equals c a1, row 1
• A complete failure surface can develop from row 1 and row 2.
• The spacing( s y23) between row 2 and row 3 is less than c a1, row 1
• The failure surface for row 3 will merge with the failure surface for row 2.
• The spacing( s y34) between row 3 and row 4 is greater than c a1, row 1
• A complete failure surface can develop from row 4.
• Case 1 / Case 2 applies for the interaction between row 1, row 2 and row 4.
• V ua, x( acts parallel to y- edge) is distributed proportionately between row 1, row 2 and row 4.
• V cbg, row 1 = A vc, row 1 A vc0 ψ ec, V ψ ed, V ψ c, V ψ h, V ψ parallel, V V b where ψ parallel, V = 2.0
• A Vc, row 1 =( c a2, x + s x12 + s x23 + s x34 + 1.5c a1, row 1)( 1.5c a1, row 1)
• Check V ua, x, row 1 / ϕ( V cbg, row 1) ≤ 1.0 where V ua, x, row 1 = 0.33V ua, x
• V cbg, row2 = A vc, row2 ψ
A ec, V ψ ed, V ψ c, V ψ h, V ψ parallel, V V b where ψ parallel, V = 2.0 vc0
• A Vc, row 2 =( c a2, x + s x12 + s x23 + s x34 + 1.5c a1, row 2)( h concrete)
• Check V ua, x, row 2 / ϕ( V cbg, row 2) ≤ 1.0 where V ua, x, row 2 = 0.67V ua, x
Figure 4.4.4( b).
• Case 1 / Case 2 applies for the interaction between row 1, row 2 and row 4.
• V ua, x( acts parallel to y- edge) is distributed proportionately between row 1, row 2 and row 4.
• V cbg, row4 = A vc, row4 ψ
A ec, V ψ ed, V ψ c, V ψ h, V ψ parallel, V V b where ψ parallel, V = 2.0 vc0
• A Vc, row 4 =( c a2, x + s x12 + s x23 + s x34 + 1.5c a1, row 4)( h concrete)
• Check V ua, x, row 4 / ϕ( V cbg, row 4) ≤ 1.0 where V ua, x, row 4 = 1.0V ua, x
The shear concrete breakout provisions are satisfied if the Case 1 / Case 2 assumptions are satisfied. Reference page 29 for information on shear load parameters.
• row 1 utilization: if 0.33V ua, x / ϕ( V cbg, row 1) ≤ 1.0 OK
• row 2 utilization: if 0.67V ua, x / ϕ( V cbg, row 2) ≤ 1.0 OK
• row 4 utilization: if 1.0V ua, x / ϕ( V cbg, row 4) ≤ 1.0 OK
• MAX {( row 1 utilization);( row 2 utilization);( row 4 utilization)} controls for concrete breakout in shear
October 2025 29