en:example:stat:3:3
Table of Contents
Beam elements, BEAM53S1
Problem
Mesh
| element | type | nodes |
|---|---|---|
| 1 | 53 | 1 2 |
| 2 | 53 | 2 3 |
| 3 | 53 | 3 4 |
| 4 | 53 | 4 5 |
Boundary conditions
$u=v=w=\varphi_x=\varphi_y=\varphi_z=0$ at node 1
Computation
The end force $F_x,$ $F_y,$ $F_z$ is directly assigned to node 5 as a concentrated (nodal) force. The distributed loading is replaced with the equivalent body force $$\begin{align} Q_x&=0, \\ Q_y&=\frac{-100}{0.01\times0.02}=-500\times10^3\text{ N/m}^3, \\ Q_z&=1000\times10^3\text{ N/m}^3, \end{align}$$ which is assigned to elements 1 to 4.
The computation is executed with the following commands:
- beam53s1.bat
rmd3 beam53s1.i1 rpd3 beam53s1.i2 srh3 beam53s1.i3 fefs beam53s1.i4 str3 beam53s1.i5
Input
- beam53s1.i1
; NELEM NNOD ITED IP 4 5 53 ; CRIT SCALE ... RP 1.01 1 8*0 ; default values of cross-sectional characteristics ; A Ik Wk Ieta 2e-4 6.6666666666e-9 6.666666666666e-7 1.66666666666e-9 ; Weta Izeta Wzeta Px Py Pz 3.33333333333e-7 6.66666666666666e-9 6.666666666666e-7 0 1 0 XY N 1:5 X 5*0:1 Y 5*0 Z 5*0 EL E 1:4 N 1 2 2 3 3 4 4 5 EN EN
- beam53s1.i2
; KREST IP 1 ; E α ν ρ MP 1 T 1 V 2e11 0 0.3 0 NV 1 T 6 V 20000 -20 0 ; Fx = 20000 N, Fy = -20 N, Fz = 0 N NV 2 T 6 V 0 0 10 ; Fx = 0 N, Fy = 0 N, Fz = 10 N VV 1 T 6 V 0 -500e3 0 ; ly = -100 N/m VV 2 T 6 V 0 -500e3 1000e3 ; ly = -100 N/m, lz = 200 N/m AS 1 /M 1 /B 0 N 1 ; in-plane loading ly, Fx, Fy /N 1 N 5 /V 1 E 1:4 AS 2 ; three-dimensional loading ly, lz, Fx, Fy, Fz /N 1 N 5 /N 2 N 5 /V 2 E 1:4 EN EN
- beam53s1.i3
; KREST IP 1 EN EN
- beam53s1.i4
; KREST IP 1 EN EN
- beam53s1.i5
; KLC 0 KOUT ILC ... KPROB KGRAF IP 1 0 1 0 6*0 0 2 EN EN
Output
- beam53s1.o5
; KLC 0 KOUT ILC ... KPROB KGRAF IP 1 0 1 0 6*0 0 2 EN EN 1TH LOAD CASE DISPLACEMENTS NODE U V W ALPHA BETA GAMMA [m] [m] [m] [rad] [rad] [rad] 1 0.0000000E+00 0.0000000E+00 0.0000000E+00 0.0000000E+00 0.0000000E+00 0.0000000E+00 2 0.1250000E-03 -0.1418457E-02 0.0000000E+00 0.0000000E+00 0.0000000E+00 -0.1050781E-01 3 0.2500000E-03 -0.4882813E-02 0.0000000E+00 0.0000000E+00 0.0000000E+00 -0.1656250E-01 4 0.3750000E-03 -0.9426270E-02 0.0000000E+00 0.0000000E+00 0.0000000E+00 -0.1933594E-01 5 0.5000000E-03 -0.1437500E-01 0.0000000E+00 0.0000000E+00 0.0000000E+00 -0.2000000E-01 REACTIONS NODE RX RY RZ RALPHA RBETA RGAMMA [N] [N] [N] [Nm] [Nm] [Nm] 1 -0.2000000E+05 0.1200000E+03 0.0000000E+00 0.0000000E+00 0.0000000E+00 0.7000000E+02 EQUILIBRIUM OF FORCES AND REACTIONS SUM OF FORCES [N] SUM OF REACTIONS [N] DIRECTION X: 20000.00 -20000.00 DIRECTION Y: -120.00 120.00 DIRECTION Z: 0.00 0.00 STRESSES AT GAUSSPOINTS IE KSI_1 KSI_2 SIG-KSI SIG-ETA_1 SIG-ZETA_1 SIG-ETA_2 SIG-ZETA_2 TAU-K HMH_1 HMH_2 [m] [m] [MPa] [MPa] [MPa] [MPa] [MPa] [MPa] [MPa] [MPa] 1 0.0000E+00 0.0000E+00 100.0 105.0 0.0 105.0 0.0 0.0 205.0 205.0 2 0.0000E+00 0.0000E+00 100.0 64.7 0.0 64.7 0.0 0.0 164.7 164.7 3 0.0000E+00 0.0000E+00 100.0 33.7 0.0 33.7 0.0 0.0 133.7 133.7 4 0.0000E+00 0.0000E+00 100.0 12.2 0.0 12.2 0.0 0.0 112.2 112.2 2TH LOAD CASE DISPLACEMENTS NODE U V W ALPHA BETA GAMMA [m] [m] [m] [rad] [rad] [rad] 1 0.0000000E+00 0.0000000E+00 0.0000000E+00 0.0000000E+00 0.0000000E+00 0.0000000E+00 2 0.1250000E-03 -0.1418457E-02 0.8769531E-02 0.0000000E+00 -0.6437500E-01 -0.1050781E-01 3 0.2500000E-03 -0.4882813E-02 0.2968750E-01 0.0000000E+00 -0.9875000E-01 -0.1656250E-01 4 0.3750000E-03 -0.9426270E-02 0.5642578E-01 0.0000000E+00 -0.1125000E+00 -0.1933594E-01 5 0.5000000E-03 -0.1437500E-01 0.8500000E-01 0.0000000E+00 -0.1150000E+00 -0.2000000E-01 REACTIONS NODE RX RY RZ RALPHA RBETA RGAMMA [N] [N] [N] [Nm] [Nm] [Nm] 1 -0.2000000E+05 0.1200000E+03 -0.2100000E+03 0.0000000E+00 0.1100000E+03 0.7000000E+02 EQUILIBRIUM OF FORCES AND REACTIONS SUM OF FORCES [N] SUM OF REACTIONS [N] DIRECTION X: 20000.00 -20000.00 DIRECTION Y: -120.00 120.00 DIRECTION Z: 210.00 -210.00 STRESSES AT GAUSSPOINTS IE KSI_1 KSI_2 SIG-KSI SIG-ETA_1 SIG-ZETA_1 SIG-ETA_2 SIG-ZETA_2 TAU-K HMH_1 HMH_2 [m] [m] [MPa] [MPa] [MPa] [MPa] [MPa] [MPa] [MPa] [MPa] 1 0.0000E+00 0.0000E+00 100.0 105.0 330.0 105.0 330.0 0.0 535.0 535.0 2 0.0000E+00 0.0000E+00 100.0 64.7 191.2 64.7 191.2 0.0 355.9 355.9 3 0.0000E+00 0.0000E+00 100.0 33.7 90.0 33.7 90.0 0.0 223.7 223.7 4 0.0000E+00 0.0000E+00 100.0 12.2 26.2 12.2 26.2 0.0 138.4 138.4 * END OF STR3 * TOTAL CPU: 00:00:00
en/example/stat/3/3.txt · Last modified: 2024-11-07 09:24 by Petr Pařík