AxisVM generates all load combinations that are possible in the defined load system. Load combinations that are (supposedly) ‘not critical anyway’ are not suppressed. The influence of the (possibly rather large) number of combinations can only be felt, if it gets extreme (multiple million combinations)
Estimation #
The estimates below are based mostly on the SIA 261 code. The combinations according to EuroCode differ in the load factors (and their application), but the number of combinations remains the same. Load groups without load cases and ungrouped load cases are to be neglected. But load cases without loads are respected.
ULS
Accidental
Seismic
SLS, Rare and frequent*
SLS, quasi-permanent
Geotechnics, Type1/Type2
neglecting variable Groups with Psi2 = 0
N | Number of loadcombinations | |
G | Number of permanent loadgroups, tensioning ** | |
Q | Number of variable loadgroups, moving groups, wind snow loadgroups, Q>1 | |
A | Number of accidental loadgroups, fire, snow (accidental) *** | |
S | Number of seismic loadgroups | |
gk | Number of load cases in permanent load group k (simultaneous) | |
g*k | Number of load cases in permanent load group k (exclusive), tensioning ****, gk * >= 1 | |
qk | Number of load cases in variable load group k (simultaneous), qk>= 1 | |
pk | Number of load cases in variable load group k (exclusive) | |
ak | Number of load case in accidental load group k | |
sk | Number of load cases in seismic load group k |
Accuracy #
The estimation can be used as a rough approximation.
Case | Combinations (AxisVM) | Estimation | Delta | |
1 | Building | 1850 | 2260 | +22.2% |
2 | Bridge | 20360 | 20936 | +2.8% |
3 | Industrial | 805888 | 807840 | +0.2% |
4 | Fictious | 9261010 | 9127627 | -1.4% |
1 – Building | 2 – Bridge | 3 – Industrial | 4 – Fictious | |
* different factors, but the same number of combinations
** number of tensioning groups is not relevant, it is only distinguished between tensioning present (1) or not (0)
*** Dependant on the code and national annex to the EuroCode
**** Number of tensioning load cases is not relevant, it is only distinguished between tensioning present (2) or not (0)
Source of information www.ingware.com