Hi,
I am currently working on an assignment on Plates loaded perpendicular to the plane. The following figure shows the problem plate geometry.
The variables are :
a = 920 mm
b = 1220 mm
t (Plate thickness) = 220 mm
E = 27000 MPa
v (Poisson's ratio) = 0.19
p (loaded pressure) = 700 N/m^2
Ball support refers to a constrained out-of-plane d.o.f.
The departure point for this problem is to model plate elements with a suggestive sizing of a x b (resulting in a mesh with 40 elements). Mesh refinement is to be done later.
The problem asks for:
- Report the vertical reaction force in the node with coordinates x = 3a and y = 0. Verify equilibrium with shear forces in nearby elements
Well, I created the model as shown below and found the reaction at the indicated point which is nearly 2722 N.
My question is how can I check the equilibrium of this reaction force with the shear forces in the nearby elements. I am confused between the Nodal Shear stress and the Plate Shear stress.
The following are the stresses in the plate elements 3 and 4 which are adjacent to the node in focus.
| Plate | L/C | SQX N/mm2 | SQY N/mm2 | MX kN-m/m | MY kN-m/m | MXY kN-m/m | SX N/mm2 | SY N/mm2 | SXY N/mm2 |
| 3 | 1 | -0.001 | 0.01 | -0.236 | -1.618 | -0.045 | 0 | 0 | 0 |
| 4 | 1 | 0.001 | 0.01 | -0.216 | -1.605 | 0.057 | 0 | 0 | 0 |
STAAD INPUT FILE for the model
STAAD SPACE
START JOB INFORMATION
ENGINEER DATE 21-Dec-16
END JOB INFORMATION
INPUT WIDTH 79
UNIT MMS NEWTON
JOINT COORDINATES
1 0 0 0; 2 920 0 0; 3 1840 0 0; 4 2760 0 0; 5 3680 0 0; 6 4600 0 0; 7 5520 0 0;
8 6440 0 0; 9 0 0 1220; 10 920 0 1220; 11 1840 0 1220; 12 2760 0 1220;
13 3680 0 1220; 14 4600 0 1220; 15 5520 0 1220; 16 6440 0 1220; 17 0 0 2440;
18 920 0 2440; 19 1840 0 2440; 20 2760 0 2440; 21 3680 0 2440; 22 4600 0 2440;
23 5520 0 2440; 24 6440 0 2440; 25 0 0 3660; 26 920 0 3660; 27 1840 0 3660;
28 2760 0 3660; 29 3680 0 3660; 30 4600 0 3660; 31 5520 0 3660; 32 6440 0 3660;
33 0 0 4880; 34 920 0 4880; 35 1840 0 4880; 36 2760 0 4880; 37 3680 0 4880;
38 4600 0 4880; 39 5520 0 4880; 40 6440 0 4880; 41 2760 0 6100; 42 3680 0 6100;
43 4600 0 6100; 44 5520 0 6100; 45 6440 0 6100; 46 2760 0 7320; 47 3680 0 7320;
48 4600 0 7320; 49 5520 0 7320; 50 6440 0 7320; 51 2760 0 8540; 52 3680 0 8540;
53 4600 0 8540; 54 5520 0 8540; 55 6440 0 8540;
ELEMENT INCIDENCES SHELL
1 1 2 10 9; 2 2 3 11 10; 3 3 4 12 11; 4 4 5 13 12; 5 5 6 14 13; 6 6 7 15 14;
7 7 8 16 15; 8 9 10 18 17; 9 10 11 19 18; 10 11 12 20 19; 11 12 13 21 20;
12 13 14 22 21; 13 14 15 23 22; 14 15 16 24 23; 15 17 18 26 25; 16 18 19 27 26;
17 19 20 28 27; 18 20 21 29 28; 19 21 22 30 29; 20 22 23 31 30; 21 23 24 32 31;
22 25 26 34 33; 23 26 27 35 34; 24 27 28 36 35; 25 28 29 37 36; 26 29 30 38 37;
27 30 31 39 38; 28 31 32 40 39; 29 36 37 42 41; 30 37 38 43 42; 31 38 39 44 43;
32 39 40 45 44; 33 41 42 47 46; 34 42 43 48 47; 35 43 44 49 48; 36 44 45 50 49;
37 46 47 52 51; 38 47 48 53 52; 39 48 49 54 53; 40 49 50 55 54;
ELEMENT PROPERTY
1 TO 40 THICKNESS 220
DEFINE MATERIAL START
ISOTROPIC ASSIGNMENT
E 27000
POISSON 0.19
DENSITY 1e-010
END DEFINE MATERIAL
CONSTANTS
MATERIAL ASSIGNMENT ALL
SUPPORTS
1 TO 8 51 TO 55 FIXED
33 FIXED BUT FX FZ MX MY MZ
16 24 32 40 45 50 FIXED BUT FZ MX MY MZ
LOAD 1 UNIFORM PRESSURE
ELEMENT LOAD
1 TO 40 PR GY -0.0007
PERFORM ANALYSIS
PRINT ELEMENT Joint stresses at 0 600 LIST 22 TO 28
FINISH
Request your support on the same.
Thanks,
Rajat Kapoor
