2.5 Steel Failure with Lever Arm ....................................... 307 Equations V s
M
........................................................ 307 Equations Ms = M 0 ................................................... 308 s
Equations M 0 = ( 1 . 2 ) ( S ) ( ƒ ) ............................................ 309 s u , min
Equations
1 ‒ N ua
ϕN sa
Equations S = π ( d ) 3 32
................................................ 310
................................................. 311
Equations L b = z + ( n )( d 0
) ................................................ 312
Equations фV s
M
≥ V ua
................................................... 313
Variables α M
......................................................... 315 Variables ƒ u , min
....................................................... 317
Variables N ua
........................................................ 319 Variables ϕN ua
....................................................... 321 Variables z .......................................................... 323 Variables n .......................................................... 324 Variables d 0
......................................................... 325 Calculations M 0 ...................................................... 327 s
3.0 INTERACTION ................................................. 338 3.1 Parabolic ........................................................ 339
Equations β NV
= β ζ + N βζ ≤ 1 . 0 ............................................ 339
V
Variables β N
......................................................... 341
Variables β V
......................................................... 343 Variables ζ .......................................................... 345 Calculations Utilization β N , V
[%] ........................................... 346 Results Status ....................................................... 347
3.2 Tri-Linear ....................................................... 349 Equations β NV
= ( β N + β V
)/ 1.2 ≤ 1 ........................................... 349
Variables β N
......................................................... 351
Variables β V
......................................................... 353 Variables ζ .......................................................... 354 Calculations Utilization β N , V
[%] ........................................... 355 Results Status ....................................................... 356
Calculations
1 ‒ N ua
ϕN sa
.............................................. 328
Calculations M s
...................................................... 329
Calculations L b
....................................................... 330
M
Results V s
......................................................... 332
Results ϕ steel
......................................................... 333 Results ϕ nonductile
...................................................... 335
M
Results ϕV s
........................................................ 336
Results V ua
.......................................................... 337
7 NORTH AMERICAN PROFIS ENGINEERING ANCHORING TO CONCRETE DESIGN GUIDE — ACI 318-19 Provisions