Analysis, Verification & Post-Processing
Learning Objectives
- Explain what a linear static structural solution represents.
- Separate solver completion from engineering validation.
- Verify applied loads against support reactions and expected load paths.
- Interpret nodal displacement, member axial/shear/moment/torsion results, and deflected shapes.
- Use diagrams/envelopes without losing sign and local-axis context.
- Interpret plate results with explicit attention to local axes and mesh sensitivity.
- Identify governing cases and document independent reasonableness checks before design.
Run complete ≠ model verified
A solver can return numbers for a model containing wrong units, unintended releases, incorrect section orientation, poor connectivity, unrealistic support stiffness, wrong load signs, or inappropriate analysis assumptions. Post-processing begins with model verification, not with looking for the largest colorful contour.
Linear Static Analysis
What is being solved
For a linear-elastic static model, STAAD assembles the global stiffness system, applies boundary conditions and loads, solves nodal displacements, and recovers member/element actions and support reactions. Linearity means stiffness is treated as independent of the load level and the principle of superposition can be used where the analysis formulation permits it.
Static equilibrium solution
Core displacement solution after the model is assembled and restrained.
Variables
| Symbol | Description | Unit |
|---|---|---|
| Global structural stiffness matrix | - | |
| Solved nodal displacement vector | - | |
| Applied load vector | - |
When linear static analysis is insufficient
If second-order geometry, tension/compression-only behavior, cables, material yielding, contact, staged effects, dynamic inertia, or other nonlinear/time-dependent behavior materially affects the engineering decision, select and verify an analysis formulation that represents that behavior. Do not infer advanced behavior from a linear run.
Simply Supported Beam — Analysis Result Benchmark
A single static point-load case used to verify reactions, shear and bending moment against closed-form statics. It is not a load-envelope or code-design result.
Closed-form results
SFD and BMD identify the force/moment distribution for this one benchmark case.
Project design still requires the correct local-axis interpretation and comparison across all relevant cases/combinations/envelopes.
Verification Sequence After Every Analysis
Analysis acceptance workflow
- Read the analysis/output status: confirm the run completed and identify every error/warning/note requiring review.
- Check applied-load totals: compare software totals with a hand/independent estimate.
- Check reactions/equilibrium: for applicable static cases, verify that support reactions balance applied forces and moments within numerical tolerance and modeling expectations.
- Inspect deformed shape: confirm the direction and relative shape are physically plausible.
- Inspect load path: trace gravity/lateral action through slabs/beams/braces/columns/supports rather than inspecting isolated members.
- Inspect force diagrams: verify expected BMD/SFD/axial patterns on simple representative members.
- Inspect extrema and governing cases: identify which load case/combination actually causes the reported maximum/minimum.
- Compare with an independent estimate: reaction, simple-beam moment, deflection, frame drift, period, or another quantity appropriate to the model.
- Only then proceed to design.
Analysis Result Acceptance Before Design
Review solver status, independently verify modeled load totals, then check reaction forces, structural response, and applicable equilibrium before releasing a revision to design.
For applicable static cases, use consistent load cases, sign conventions, units, and project tolerances. First compare applied-load totals with an independent estimate based on the intended loads and geometry; this gate is separate from force equilibrium because a model can balance its reactions while representing the wrong total load. Then check force balance between applied loads and support reactions, inspect deformed shape and governing results, and evaluate applicable moment equilibrium. STAAD.Pro documents a second-order P-Delta/Direct Analysis moment-balance note: the statics check may omit secondary moments from applied-load totals while reactions include them. Do not reject solely for that documented moment note, but require the independent load-total and force checks to pass and investigate other unexplained response concerns.
Start from the identified model revision and analysis basis → Run the intended analysis cases and collect complete output; Run the intended analysis cases and collect complete output → Did the run complete without an unresolved solver issue?; Did the run complete without an unresolved solver issue? — No → Diagnose the cause, correct the model, and restart acceptance; Did the run complete without an unresolved solver issue? — Yes → Estimate intended applied-load total independently; inspect reactions, response, and equilibrium; Estimate intended applied-load total independently; inspect reactions, response, and equilibrium → Does the independent applied-load total check pass?; Does the independent applied-load total check pass? — No → Correct the load model, then rerun acceptance; Does the independent applied-load total check pass? — Yes → Do force and response checks pass with any moment note explained?; Do force and response checks pass with any moment note explained? — No → Investigate unexplained results, then repeat acceptance checks; Do force and response checks pass with any moment note explained? — Yes → Accept this verified revision for design
- Start from the identified model revision and analysis basis: terminator
- Run the intended analysis cases and collect complete output: process
- Did the run complete without an unresolved solver issue?: decision
- Diagnose the cause, correct the model, and restart acceptance: terminator
- Estimate intended applied-load total independently; inspect reactions, response, and equilibrium: process
- Does the independent applied-load total check pass?: decision
- Correct the load model, then rerun acceptance: terminator
- Do force and response checks pass with any moment note explained?: decision
- Investigate unexplained results, then repeat acceptance checks: terminator
- Accept this verified revision for design: terminator
Global Equilibrium / Statics Check
Force equilibrium
For a stable static load case, external applied forces and reactions must satisfy global equilibrium using a consistent sign convention.
Moment equilibrium
Global moments about a chosen reference must also balance for the complete external force system.
What an imbalance can reveal
A suspicious reaction total can indicate omitted loads, wrong directions, unsupported/disconnected components, load-generation boundaries that do not cover the intended area, or misunderstanding of which loads are included in the displayed case. Small numerical residuals are different from a structural-scale imbalance; interpret tolerance in context.
Global equilibrium free-body check
Sum the applied forces and support reactions in one stated coordinate system, then check moment balance about a stated origin. This global check complements individual member hand checks.
Deflected Shape and Nodal Displacements
Shape before magnitude
Before comparing drift or deflection to limits, inspect whether the structure moves in the expected direction. Unexpected rigid-body motion, one joint moving far more than neighboring joints, a beam separating visually from a column, or a twisting response in a nominally symmetric frame can expose modeling errors immediately.
Scaled visualization
Graphical deflected shapes are typically exaggerated for visibility. Read the actual displacement values and units; do not infer physical displacement magnitude from the screen scale alone.
Member Force Results
Axial, shear, bending and torsion
Member results are reported in the member-local system. Always show/understand local axes before interpreting signs. A positive/negative moment diagram is only meaningful when the member direction and software sign convention are known.
Post-Processing Results Visualizer
Simple-beam hand checks
For a simply supported beam of span :
- centered point load : ,
- full-span uniform load : ,
These idealized relationships are valuable regression checks for educational simulations and small benchmark models before trusting a large model.
Load Envelopes and Governing Cases
Maximum alone is incomplete information
Whenever reporting a maximum displacement, reaction, moment, utilization or reinforcement demand, also record which load case/combination and location produced it. Separate serviceability envelopes from strength/design envelopes so a service deflection is not accidentally checked using a strength combination—or vice versa.
Separate serviceability and strength envelopes
An envelope is meaningful only with its purpose, response component, controlling case, and member station. The curves are qualitative and contain no project values.
Plate / Surface Results
Local-axis dependence
Plate moments/stresses are expressed relative to element local axes. Before translating plate output into engineering reinforcement directions or membrane actions, confirm the local axes, element orientation, and whether adjacent elements use a consistent orientation.
Do not design to a single contour spike blindly
Finite-element stress/moment peaks near supports, point loads, openings, re-entrant corners, rigid links or abrupt stiffness changes can be mesh-sensitive or singular. Review distributions, equilibrium, design strips/cut lines/averaging methods appropriate to the engineering workflow, and mesh-refinement sensitivity rather than treating one extreme pixel as a directly constructible demand.
Minimum post-processing record
- Analysis status and unresolved warnings: none.
- Applied-load total checked independently.
- Reaction/equilibrium check recorded.
- Deformed shape reviewed.
- Representative member force diagram checked by hand.
- Local axes verified for critical members/plates.
- Governing cases/locations identified.
- Mesh sensitivity reviewed where surface-element results govern.
- Units included in exported tables/reports.
- Post-processing is a verification workflow, not merely a results viewer.
- Reaction/equilibrium and deformed-shape checks are among the fastest ways to detect model defects.
- Member forces are local-axis quantities; sign interpretation requires member-direction awareness.
- Envelopes must preserve the governing case and the purpose of the combination set.
- Plate peaks require engineering interpretation and often mesh/result-distribution checks.
- Do not begin automated design until the analysis model has been accepted.
References
- Are Applied Loads in Equilibrium with the Support Reactions? — Bentley Systems
- Moment Balance Does Not Consider Secondary Effects of P-Delta or Direct Analysis — Bentley Systems
- Simple Checks for Satisfactory Results — Bentley Systems
- Strength/Serviceability check in design — Bentley Systems
- Finding maximum responses for selected entities and load cases — Bentley Systems