Results.
| Example | Reference | Records | Largest deviation |
|---|---|---|---|
| Cantilever strip, line load at the tip | Closed form | 1 | < 0.001% |
| Simply supported strip, distributed load | Closed form | 1 | 0% |
Problem. The transverse shear force recovered from the shell element is tested. It must be constant along a cantilever strip and linear along a simply supported strip.
Reference document. The reference is statics.
On a simply supported strip the shear force varies linearly along the span.
On a cantilever strip the shear is constant along the span and equal to the applied line load.
Numerical model. The strips are modelled with twelve by two quadrilateral shell elements. Values are read at the element centre.
Cantilever strip, line load at the tip
Parameters. L = 4 · t = 0.2 · mesh = 12×2
Closed form. The total load beyond the section
| Quantity | Reference | Computed | Deviation |
|---|---|---|---|
| Transverse shear force , constant along the span | -10 | -10 | < 0.001% |
Note. The scatter along the span is 3.248e-11.
Simply supported strip, distributed load
Parameters. L = 4 · t = 0.2 · mesh = 12×2
Closed form. The shear force distribution from statics
| Quantity | Reference | Computed | Deviation |
|---|---|---|---|
| Distribution of the transverse shear force, largest deviation | 0 | 0% |
Note. The result is exact, including the element next to the support.