How to Perform Linear Static Analysis in ANSYS APDL

Introduction of How to Perform Linear Static Analysis in ANSYS APDL
What is Linear Static Analysis?
Static vs Dynamic Analysis
Equations of Motion
When Should Linear Static Analysis Be Used?
Complete Linear Static Modeling Workflow
Geometry Creation
Element Type Definition
Section Definition
Material Properties
Mesh Generation
Boundary Conditions
Load Application
Solution Settings
Solving the Model
Post Processing
Result Verification
Engineering Example
Project Features
Who Should Use This Project?

Introduction

Linear Static Analysis is one of the most widely used analysis methods in ANSYS APDL and structural engineering.

It is suitable for structures that experience relatively small deformations, remain within the elastic range of the material, and are subjected to static loading conditions.

How to Perform Linear Static Analysis in ANSYS APDL

This project teaches the complete workflow of Linear Static Analysis using ANSYS APDL, including theory, APDL programming, graphical modeling, solution settings, post-processing, and engineering interpretation of the results.

What is Linear Static Analysis?

Linear Static Analysis assumes that:

Material behavior is linear elastic.
Deformations are small.
Geometry does not change significantly during loading.
Loads are applied slowly without inertia effects.
Structural stiffness remains constant throughout the analysis.

These assumptions make Linear Static Analysis computationally efficient while providing highly accurate results for many engineering structures.

Equations of Motion

Before performing any structural analysis, engineers should understand the governing equations of motion.

The general structural dynamic equation is: $M\ddot{u}+C\dot{u}+Ku=F(t)$ Mu¨+Cu˙+Ku=F(t)

where:

M = Mass Matrix
C = Damping Matrix
K = Stiffness Matrix
u = Displacement
F = Applied Load

For Linear Static Analysis, inertia and damping effects are neglected, simplifying the equation to: $Ku=F$ Ku=F

This simplified equation is solved directly by ANSYS APDL to determine structural displacements. How to Perform Linear Static Analysis in ANSYS APDL

Difference Between Static and Dynamic Analysis

This tutorial explains the major differences between Static and Dynamic Analysis.

Linear Static Analysis

Constant loads
No inertia effects
No damping effects
Small displacement assumption
Linear material behavior
Fast computation

Dynamic Analysis

Time-dependent loading
Includes inertia effects
Includes mass matrix
May include damping
Can model vibration and earthquake response
Higher computational cost

Understanding these differences is essential for selecting the appropriate analysis type.

When Can We Use Linear Static Analysis?

Linear Static Analysis is commonly used for:

Steel structures
Reinforced concrete structures
Building frames
Industrial structures
Mechanical components
Pressure vessels
Support systems
Bridge components
Structural verification
Educational finite element examples

Complete Linear Static Analysis Workflow

The tutorial of How to Perform Linear Static Analysis in ANSYS APDL demonstrates the complete engineering workflow used by professional finite element analysts:

Geometry Creation
Element Definition
Section Definition
Material Properties
Mesh Generation
Boundary Conditions
Load Application
Solution Settings
Solve
Post Processing
Verification of Results

Step 1 – Define Geometry

The project in How to Perform Linear Static Analysis in ANSYS APDL explains several methods for creating geometry in ANSYS APDL.

Topics include:

Keypoints
Lines
Areas
Volumes

APDL Commands:

K,ID,X,Y,Z
N
L
A
RECTNG
CYL4

Boolean operations include:

Add
Subtract
Divide
Intersect

Example:

ASBA,1,2

GUI Path:

Preprocessor → Modeling → Create

Step 2 – Define Element Types

Selecting the appropriate finite element is one of the most important modeling decisions.

This project explains how to define element types such as:

ET,1,PLANE183

GUI Path:

Preprocessor → Element Type → Add/Edit/Delete

Step 3 – Define Beam and Shell Sections

Beam section definition:

SECTYPE
SECOFFSET
SECDATA

Shell thickness definition:

R
RMORE

Students learn how different section properties influence structural stiffness and behavior.

Step 4 – Define Material Properties

Material properties are defined using:

MP,EX
MP,PRXY

Mechanical properties include:

Young’s Modulus (E)
Poisson’s Ratio (ν)

GUI Path:

Preprocessor → Material Properties → Material Models

Step 5 – Generate the Mesh

Mesh quality has a significant influence on solution accuracy.

The tutorial explains:

Element Size
Mesh Density
Mesh Quality
Automatic Meshing

APDL Commands:

ESIZE
AMESH
VMESH

GUI Path:

Preprocessor → Meshing → MeshTool

Step 6 – Apply Constraint Boundary Conditions

Proper boundary conditions are essential for obtaining realistic structural responses.

Examples include:

D,3,UY,0
D,ALL,UZ,0

Topics covered:

Fixed Supports
Roller Supports
Symmetry Conditions
Degrees of Freedom (DOF)

GUI Path:

Solution → Define Loads → Apply → Structural

Step 7 – Apply External Loads

Different loading methods are explained, including:

Point Loads
Distributed Loads
Pressure Loads
Body Loads
Inertia Loads

Example:

FK,2,FY,-5000

Step 8 – Solution Settings

The project explains the most important Solution Options inside ANSYS.

Topics include:

Analysis Type
Load Steps
Solver Settings
Convergence
Output Controls

APDL Command:

/SOLU

Step 9 – Solve the Model

Once the model is complete, the finite element equations are solved using:

SOLVE

GUI Path:

Solution → Solve → Current Load Step

Step 10 – Post Processing

The project demonstrates professional post-processing techniques, including:

Deformation Shapes
Von Mises Stress
Principal Stress
Reaction Forces
Base Shear
Roof Displacement

Example commands:

PLNSOL,S,X
PLNSOL,S,EQV

GUI Path:

General Postproc → Plot Results → Contour Plot → Nodal Solution

Step 11 – Compare and Verify Results

Finite Element Analysis should never end with simply obtaining colorful contour plots.

This tutorial explains professional verification techniques including:

Checking support reactions
Comparing analytical solutions
Verifying displacement values
Stress consistency
Equilibrium verification
Mesh sensitivity

These procedures ensure the reliability of engineering simulations.

Engineering Example in How to Perform Linear Static Analysis in ANSYS APDL

The tutorial includes a complete 1-Bay 1-Story Steel Frame example.

The complete project demonstrates:

Step-by-step modeling
APDL programming
Solution settings
Deformation visualization
Von Mises stress distribution
Base Shear
Roof Displacement

This real engineering example allows students to follow the complete finite element workflow from geometry creation to engineering interpretation.

Project Features

This project includes:

Complete APDL source code
Full ANSYS project files
Step-by-step video tutorial
Real engineering example
Structural frame analysis
Geometry creation
Meshing strategy
Material definition
Boundary condition setup
Solution settings
Professional post-processing
Result verification

Who Should Use This Project?

This tutorial is ideal for:

Civil Engineers
Structural Engineers
Mechanical Engineers
Graduate Students
PhD Researchers
ANSYS Beginners
ANSYS APDL Users
Finite Element Analysts

Download Project

Download this complete Linear Static Analysis in ANSYS APDL project to learn professional finite element modeling, APDL programming, structural analysis, solution settings, post-processing, and engineering result verification using a real structural frame example.

YouTube Video

🎥 Watch the complete YouTube tutorial to learn how to perform Linear Static Analysis in ANSYS APDL from start to finish. This lesson explains the theory of static analysis, equations of motion, differences between static and dynamic analysis, complete APDL modeling workflow, solution settings, post-processing, result verification, and engineering interpretation using a real structural frame example.