LingoScholarLiterature. Evidence. Research.
Research programmes
Open studyCatalogueAcademic access

LIGNOSCOPE / SPATIAL REFERENCE LAB

A model with
three dimensions.

Inspect a spatial truss, change a load and follow the calculation through displacement, axial force, reactions and energy.

3 translational degrees per nodeSmall-displacement linear elasticity

START WITH A REFERENCE

Illustrative square-pyramid truss

5 nodes · 4 axial members · N / mm / MPa

ORBIT / INSPECT / COMPARE

Spatial model

Calculated
Orbitable 3D axial trussOriginal accepted geometry is dashed. Calculated displaced geometry uses the labelled display amplification. Drag to orbit, or use arrow keys, plus, minus and Home. The same numerical results are available in the tables.barA: -240.514 N; -0.240514 MPabarAbarB: -446.67 N; -0.44667 MPabarBbarD: -240.514 N; -0.240514 MPabarDbarC: -446.67 N; -0.44667 MPabarCA · restrainedB · restrainedC · restrainedD · restrainedapexXYZDisplacements displayed ×100

Orthographic projection. Dashed: original. Teal: tension. Coral: compression. Lime: selected member. Display amplification changes only the drawing; it does not change the calculation.

SELECTED MEMBERbarA

A → apex

-240.514 N · -0.240514 MPa · extension -0.0423789 mm

ACTUAL CALCULATED RESPONSE

Check the numbers behind the view.

Largest displacement0.0912426 mm
Strain energy45.3473 N·mm
Largest free-DOF residual0.000000000000113687 N
Maximum |axial strain|0.0000381769

Energy check: Σ½NΔL = 45.3473 N·mm; ½Fᵀu = 45.3473 N·mm. Global force imbalance: [0.0000000000000284217, 0, 0] N. Moment imbalance: [0, -0.000000000116415, 0] N·mm.

Member results · positive force is tension
MemberLength (mm)Force (N)Stress (MPa)Extension (mm)Strain
2,061.55-240.514-0.240514-0.0423789-0.0000205568
2,061.55-446.67-0.44667-0.0787037-0.0000381769
2,061.55-446.67-0.44667-0.0787037-0.0000381769
2,061.55-240.514-0.240514-0.0423789-0.0000205568

Nodes, restraints and calculated translations

Fixed translations are zero. Reactions are shown only in restrained directions. An absent result is never replaced with a guessed displacement.

All accepted nodes · coordinates in mm; loads and reactions in N
Node[x, y, z] mmRestrained[Fx, Fy, Fz] N[ux, uy, uz] mm[Rx, Ry, Rz] N
A-1,000, -1,000, 0X Y Z0, 0, 00, 0, 0116.667, 116.667, 175
B1,000, -1,000, 0X Y Z0, 0, 00, 0, 0-216.667, 216.667, 325
C1,000, 1,000, 0X Y Z0, 0, 00, 0, 0-216.667, -216.667, 325
D-1,000, 1,000, 0X Y Z0, 0, 00, 0, 0116.667, -116.667, 175
apex0, 0, 1,500None200, 0, -1,0000.0374427, 0, -0.08320610, 0, 0

CLT LAYERS / GEOMETRIC INSPECTION

Look inside a layered panel.

Rotate the layers, inspect a window opening and check the net timber volume. These are geometric quantities; this view does not calculate CLT structural response.

Geometry only

Opening coordinates start at the panel’s bottom-left corner. All four edge ligaments must remain at least 1 mm. The opening passes through every layer.

Layered CLT panel with 3 layers and a through-window openingOrthographic geometric projection. Alternating grain directions are indicated by lines. Panel width 3000 mm, height 3000 mm, actual total thickness 105 mm. Layer separation is display only. Use the orbit and tilt controls to inspect the model.
Actual thickness
105 mm
Net panel area
7.32 m²
Net timber volume
0.7686 m³

Gross area 9 m² − opening 1.68 m². Net volume = net area × sum of actual layer thicknesses. Surface partition lines around the opening are drawing divisions, not timber joints.