Calculation reports

Calculation reports you can check, page by page

A calculation report is where an engineer decides whether to trust the numbers. I write mine to be checked: every result points to the section that derives it, every load is proven to have entered the model, and every assumption is stated where it is used. Below are pages from a real project’s report, anonymised: a steel entrance canopy and two guard booths. Further down: the same structure as a 3D model you can query member by member, and twelve connections from other delivered projects, coloured by stress.

Calculation reports

62CALCULATION PAGES
19 · 22TABLES · FIGURES
125LOAD COMBINATIONS
2BASE PLATE TYPES IN CBFEM

Inside the report

Structural check summary table with limits, results, governing combinations and status
Structural check summary (section 1)
01 · CHECK SUMMARY

One table answers “does it pass?”

The report opens with every check, the structure it applies to, the limit, the governing result and the combination that produced it. Each row is worked out later in its own section, so the summary is an index, not a claim.

The note under the table says what the D/C ratio includes: strength only. Deflection is checked separately over the real spans. One base plate weld sits at 97% and is marked at limit, not rounded away.

Report page deriving roof live, snow and wind loads for a free-standing canopy
Loads (sections 5.3 – 5.5)
02 · LOADS

Loads derived, not just listed

Snow and wind are derived step by step, with the clause that governs each value. For the open canopy roof the net pressure coefficients depend on how much the booth underneath blocks the wind, so the blockage ratio φ is calculated in both directions and the coefficients are interpolated between the code’s limits.

Equilibrium check table: base reactions of each load pattern and the equivalent area load
Equilibrium check of load patterns (section 7)
03 · EQUILIBRIUM

Proof that the loads entered the model

Every load pattern is solved on its own and its base reactions are summed. For vertical loads, the total reaction divided by the roof area has to give back the area load that went in: 1.000 kN/m² for roof live load, 0.880 kN/m² for snow. If a load were lost on its way into the model, this table would show it.

The next table lists all 125 combinations with their reactions and largest displacements, so every envelope value can be traced to the combination that produced it.

Roof plan and front elevation of the analysis model, coloured by section
Analytical model (section 8)
04 · MODEL

The model, drawn

Plan and elevations are coloured by section. The pages after them give joint and frame numbers, so any member named in a table can be found on a drawing.

Steel design results: D/C ratio distribution and summary by member group
Steel design results, AISC 360-16 (section 12)
05 · DESIGN

Design results, member by member

The D/C distribution over the whole model comes first, then a summary per member group: section, ratio, equation, governing combination and shear. The analysis follows the Direct Analysis Method with reduced stiffness and notional loads, and the text says so. A full table after this page lists every member, sorted by ratio.

Deflection checks table with spans, relative deflections, limits and governing combinations
Deflection checks (section 13)
06 · DEFLECTION

Deflection measured over the real span

An analysis model splits beams at every joint, so a deflection ratio per element says little. Here deflection is the displacement of the mid-span or cantilever-tip joint relative to its supports, over the real span, against L/300 — with the governing serviceability combination for each span.

Wind drift and seismic storey drift check tables
Deflection of unsplit spans, wind drift, seismic drift (sections 13 – 15)
07 · DRIFT

Drift under wind and earthquake

Column-top displacements under wind are checked against H/300, and seismic storey drift with the code’s amplification. Each structure is checked with its own height; the two are independent and the report keeps them apart.

Mode shapes with periods and frequencies
Mode shapes (section 16)
08 · MODES

Modal behaviour

Mode shapes with period, frequency and mass participation. Because one model holds two independent structures, each mode is assigned to the structure that moves in it, so it is clear which period belongs to which building.

Base plate connection details, check results and applied force sets
Connection design — column base plates (section 18)
09 · CONNECTIONS

Connections checked with the forces that govern them

Base plates are designed with the component-based finite element method (CBFEM): plate, welds, anchors and concrete block in one model. All column bases and all strength combinations are scanned, and the force sets that govern anchor tension, compression, moment and shear go into the connection model as separate load cases.

In the full report the two connection calculations follow as appendices: 78 pages in total.

Explore the design, member by member

The structure from the report above, as a 3D model. Each of its 254 members carries its own design result. Tap or click a member to see its section, its strength ratio, the AISC equation and the load combination that govern it, and the report page where it is listed.

Loading the 3D model…
Strength ratio D/C (AISC 360-16, Chapter H)
00.250.500.751.00
≥ 0.90 near limit> 1.00 failsselected

DESIGN EXPLORER

Pick a member

Drag to rotate, scroll or pinch to zoom. The list below starts with the members closest to their limit.

Highest ratios

    Connections, coloured by stress

    Each connection is modelled as what it is — plates, welds, bolts and anchors — and loaded with the governing forces from the analysis, then checked with the component-based finite element method. These twelve come from delivered projects. Under each: the utilisation of its components as the check reported it, and the plastic strain in the plates against a 5% limit.

    Equivalent stress plot of a haunched roof beam joint

    Haunched roof beam joint

    HOTEL ROOF FRAME · AISC 360-16

    Bolts 85.6%Welds 85.5%Plate strain 2.3% / 5%
    Equivalent stress plot of a brace node where tube braces and beams meet a column

    Brace node: tubes and beams at one column

    HOTEL FRAME · AISC 360-16

    Bolts 69.9%Welds 75.2%Plate strain 0.3% / 5%
    Equivalent stress plot of a tube brace on a gusset at a column base

    Tube brace on a column-base gusset

    HOTEL FRAME · AISC 360-16

    Bolts 91.4%Welds 76.4%Anchors 44.7%Concrete 25.1%Plate strain 1.2% / 5%
    Equivalent stress plot of two tube braces on a base gusset

    Twin tube braces on a base gusset

    MEZZANINE FLOOR · AISC 360-16

    Welds 77.5%Anchors 63.0%Bolts 62.5%Concrete 12.5%Plate strain 1.9% / 5%
    Equivalent stress plot of a bolted joint between two beams through end plates

    Bolted end-plate joint between two beams

    MECHANICAL ROOM PLATFORM · EN 1993-1-8

    Bolts 76.8%Welds 64.4%Plate strain 1.9% / 5%
    Equivalent stress plot of a bolted cross joint with eleven bolts

    Cross joint with eleven bolts

    ELEVATOR MACHINE ROOM FLOOR · AISC 360-16

    Bolts 82.8%Welds 75.2%Plate strain 0.5% / 5%
    Equivalent stress plot of a multi-plate bolted node

    Multi-plate node

    SHAFT WALL FRAME · AISC 360-16

    Bolts 82.7%Welds 79.7%Plate strain 0.8% / 5%
    Equivalent stress plot of an inclined tube cantilever on a bolted wall plate

    Inclined tube cantilever on an anchored wall plate

    CANOPY · EN 1993-1-8

    Bolts 64.5%Welds 57.0%Anchors 29.1%Plate strain 0.9% / 5%
    Equivalent stress plot of a mitred tube joint

    Mitred tube joint

    BUSBAR PROTECTION FRAME · AISC 360-16

    Welds 75.8%Plate strain 0.0% / 5%
    Equivalent stress plot of a circular column anchored to a slab soffit

    Circular column hung from a slab

    BUSBAR PROTECTION FRAME · AISC 360-16

    Anchors 71.5%Welds 66.1%Concrete 4.1%Plate strain 0.0% / 5%
    Equivalent stress plot of a stiffened base plate

    Stiffened base plate

    ESCALATOR SUPPORT · AISC 360-16

    Welds 75.2%Anchors 49.6%Concrete 19.5%Plate strain 0.3% / 5%
    Equivalent stress plot of a box column base plate

    Box column base plate

    ROLLER SHUTTER FRAME · AISC 360-16

    Welds 78.3%Anchors 53.6%Concrete 7.2%Plate strain 0.1% / 5%

    About this sample

    What was removed

    Client, location and people are not shown, and software names are replaced with generic terms. Everything else — the structure, the loads, the results and the margins — is as delivered. The whole project, from architectural drawing to shop drawings, is on its case study page. The connections come from other delivered projects; their plots are shown as computed, without client or location.

    Who signs it

    I prepare the calculation and its documentation. Construction documents are reviewed and signed by a licensed partner engineer.

    Need a report like this?

    Send a drawing or a model and tell me what has to be checked. I will reply with what I need and what you will get.

    info@structomat.com