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TypicalRun.txt
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r0 =
0.0100
*******************************************************************************
PenLab 1.04 (20140125)
*******************************************************************************
Number of variables 6
Number of matrix variables 0
- degrees of freedom (var. elements) 0
(Function) constraints
- box inequalities 0
- linear inequalities 6
- nonlinear inequalities 0
- linear equalities 0
- nonlinear equalities 0
Matrix constraints
- box inequalities 0
- linear inequalities 0
- nonlinear inequalities 1
Min./Max. ineq-mult.: 1.000000 / 1.000000
*******************************************************************************
* it | obj | (U,G(x)) | ||dF|| | feas | pmin | Nwt | InIt |
*******************************************************************************
| 0| 0.00000e+00 | 1.0e-05 | 2.9e+13 | 3.1e+05 | 1.0e+00 | 0 | 0 |
| 1| 1.15216e-04 | 3.8e-06 | 2.7e+11 | 2.4e+05 | 1.0e+00 | 7 | 58!|
| 2| 4.46520e+01 | 1.3e-01 | 4.9e-05 | 0.0e+00 | 5.0e-01 | 39 | 69 |
| 3| 1.11760e+01 | 1.9e-02 | 9.2e-05 | 0.0e+00 | 2.5e-01 | 6 | 6 |
| 4| 3.01622e+00 | 2.8e-03 | 8.1e-04 | 0.0e+00 | 1.3e-01 | 7 | 7 |
| 5| 8.50572e-01 | 4.2e-04 | 3.8e-03 | 0.0e+00 | 6.3e-02 | 6 | 6 |
| 6| 2.44046e-01 | 6.8e-05 | 3.1e-05 | 0.0e+00 | 3.1e-02 | 6 | 6 |
| 7| 6.83612e-02 | 1.5e-05 | 1.6e-03 | 0.0e+00 | 1.6e-02 | 5 | 5 |
| 8| 1.66365e-02 | 3.4e-06 | 6.7e-04 | 0.0e+00 | 7.8e-03 | 5 | 5 |
| 9| 3.74711e-03 | 8.2e-07 | 5.1e-04 | 3.0e+02 | 3.9e-03 | 6 | 6 |
| 10| 1.76604e-03 | 7.4e-07 | 3.8e-05 | 5.6e+02 | 2.0e-03 | 19 | 30 |
| 11| 2.42677e-03 | 5.8e-07 | 3.6e-03 | 2.8e+02 | 9.8e-04 | 33 | 58 |
| 12| 4.10570e-03 | 2.5e-07 | 6.2e-04 | 6.5e+01 | 4.9e-04 | 20 | 46 |
| 13| 4.42077e-03 | 7.2e-08 | 8.5e-03 | 2.0e+01 | 2.4e-04 | 6 | 6 |
| 14| 4.52406e-03 | 3.3e-08 | 2.0e-04 | 1.0e+01 | 1.2e-04 | 5 | 5 |
| 15| 4.56139e-03 | 3.8e-08 | 9.4e-03 | 1.0e+01 | 6.1e-05 | 2 | 2 |
| 16| 4.57211e-03 | 5.0e-08 | 2.9e-03 | 1.0e+01 | 3.1e-05 | 3 | 3 |
| 17| 4.57413e-03 | 8.3e-08 | 1.1e-03 | 1.0e+01 | 1.5e-05 | 5 | 5 |
| 18| 4.57534e-03 | 1.9e-07 | 5.5e-04 | 1.1e-01 | 7.6e-06 | 10 | 34 |
| 19| 4.57499e-03 | 7.0e-07 | 7.0e-04 | 5.3e-01 | 3.8e-06 | 5 | 5 |
| 20| 4.57501e-03 | 4.0e-06 | 3.9e-04 | 4.8e-01 | 1.9e-06 | 2 | 2 |
| 21| 4.57978e-03 | 2.5e-05 | 8.8e-04 | 4.3e-03 | 9.5e-07 | 6 | 6 |
| 22| 4.40891e-03 | 1.6e-06 | 5.7e-03 | 8.6e-07 | 4.8e-07 | 24 | 25 |
| 23| 4.41021e-03 | 1.3e-08 | 3.0e-04 | 0.0e+00 | 2.4e-07 | 3 | 3 |
| 24| 4.41018e-03 | 1.9e-09 | 6.5e-03 | 4.6e-13 | 1.2e-07 | 1 | 1 |
| 25| 4.41018e-03 | 2.9e-10 | 1.2e-06 | 0.0e+00 | 6.0e-08 | 1 | 1 |
*******************************************************************************
PenLab converged: optimal solution
*******************************************************************************
Objective 4.4101847987978119E-03
Relative precision 3.3493466021494722E-09
Compl. Slackness 2.8712954250104426E-10
Grad augm. lagr. 1.1907918817178233E-06
Feasibility (max) 0.0000000000000000E+00
Newton steps 232
Inner steps 400
Linesearch steps 356
Number of evaluations of
- function values 409
- gradient values 257
- hessian values 233
Time statistics
- total process time 18.3769 s
- all minimization steps 16.6921 s
- all factorizations 0.171601 s
- function values evaluation 1.56001 s
- gradient values evaluation 6.64564 s
- hessian values evaluation 7.92485 s
*******************************************************************************
Optimized objective: 0.004410
= Section areas ========
A1 = 0.000534
A2 = 0.000180
A3 = 0.000535
A4 = 0.000010
A5 = 0.000180
A6 = 0.000488
= Five smallest critical loads =====
lambda1 = 10.000001
lambda2 = 37.536843
lambda3 = 41.946087
lambda4 = 76.026893
lambda5 = 84.366290
= Normal forces ========
N1 = -2.000000 kN
N2 = 1.414124 kN
N3 = 1.000043 kN
N4 = -0.000066 kN
N5 = 0.999889 kN
N6 = -1.414061 kN
= Normal stresses ======
sigma1 = -3.743305 MPa
sigma2 = 7.844987 MPa
sigma3 = 1.868199 MPa
sigma4 = -0.006619 MPa
sigma5 = 5.542123 MPa
sigma6 = -2.897534 MPa