CALCS | BAS017 SECTION SHEAR FLOW by flat plate stiffness method | |||

## NOTATION | ||||

constrained node | single freedom of fe model (not implemented) | |||

NODE | identity, number between 1 to 50 | |||

z y | coordinate position vectors, in plane of section | |||

ELEMENT | shear flow model element | |||

1stN | node, 1st end point at element mid thickness | |||

2ndN | 2nd element node, calculated- mid point between 1stN & 3rdN | |||

3rdN | node, 3rd end point at element mid thickness | |||

t | thickness, element, constant | |||

Case | combined load case, transverse loading | |||

Pz | force, parallel to z axis, thru shear centre | |||

Py | force, parallel to y axis, thru shear centre | |||

Mx | moment, parallel to longitudinal axis | |||

ez ey | shear centre position coordinate vectors | |||

sumPz sumPy | force, total shear acting in section parallel to z & y axes | |||

etb props | see bas008 | |||

fs(2N) | stress, shear, average at element 2nd node | |||

Ps | force, shear, average thru element | |||

Ps1 Ps2 | force, shear, average thru element parallel to 1 & 2 axes |

Maximum numbers of: Nodes 50, Elements 50, Cases 10.

Shear flow data for unit orthogonal shear forces applied at shear centre.

Nodal direct and shear stresses for loads applied to section.

Problem definition plot showing nodes & elements

## INPUT FORMAT | |||||||||

DAT017 | title | ||||||||

data | constrained node | ||||||||

NODE | z | y | |||||||

tab | delimited | data | |||||||

ELEMENT | 1stN | 3rdN | t | ||||||

enter | tab | delimited | data | ||||||

CASE | Px | Py | Pz | Mx | My | Mz | |||

en | ter | tab | de | limit | ed | data | |||

ENDDAT | |||||||||

## EXAMPLE | |||||||||

## Input | |||||||||

DAT017 | long stalk tee 5x10 | ||||||||

1 | constrained node | ||||||||

NODE | z | y | |||||||

1 | 51.4 | 191.5 | |||||||

2 | 106.4 | 159.7 | |||||||

3 | 161.4 | 128 | |||||||

4 | -16.04 | -52.29 | |||||||

ELEMENT | 1stN | 3rdN | t | ||||||

1 | 1 | 2 | 18.3 | ||||||

2 | 2 | 3 | 18.3 | ||||||

3 | 2 | 4 | 9.15 | ||||||

CASE | Px | Py | Pz | Mx | My | Mz | |||

1 | 1E4 | 0 | 0 | 100 | 0 | 0 | |||

2 | 0 | 1E4 | 0 | 0 | 1E5 | 0 | |||

3 | 0 | 0 | 1E4 | 0 | 0 | 1E5 | |||

4 | 1E4 | 1E4 | 1E4 | 100 | 1E5 | 1E5 | |||

ENDDAT | |||||||||

## Output | |||||||||

OUTPUT long stalk tee 5x10 | |||||||||

etb properties | |||||||||

4564 | A | area | |||||||

107.7 | ybar | neutral axis position | |||||||

2.205E7 | Iz | 2nd MoA | |||||||

76.35 | zbar | neutral axis position | |||||||

9.444E6 | Iy | 2nd MoA | |||||||

-29.98 | theta12 | angle of prin.planes | |||||||

2.833E7 | I1 | 2nd MoA | |||||||

3.159E6 | I2 | 2nd MoA | |||||||

78.78 | K1 | min rad gir | |||||||

26.31 | K2 | min rad gir | |||||||

106 | ez | shear centre coord | |||||||

159.1 | ey | shear centre coord | |||||||

shear centre verification data | |||||||||

0.9984 | sumP2.2 | ||||||||

3.763E-4 | sumP1.2 | ||||||||

3.375E-3 | sumP2.1 | ||||||||

0.9892 | sumP1.1 | ||||||||

nodal direct stresses | |||||||||

Node | Case1 | Case2 | Case3 | Case4 | |||||

1 | 2.191 | -3.349 | -2.274 | -3.431 | |||||

2 | 2.191 | -1.607 | -1.268 | -0.6843 | |||||

3 | 2.191 | 0.134 | -0.2643 | 2.061 | |||||

4 | 2.191 | -2.042 | -0.5219 | -0.3732 | |||||

element shear stresses @ 2nd node | |||||||||

Element | Case1 | Case2 | Case3 | Case4 | |||||

1 | -0.2474 | 2.71 | -3.349 | -0.8864 | |||||

2 | -0.2468 | 1.544 | -4.024 | -2.726 | |||||

3 | -0.4508 | 3.852 | 2.241 | 5.642 | |||||

END017 |