Examples#

The following examples showcase the features of sStatics in an instructional manner, while also highlighting several validation tests and advanced applications.

Cross-Section#

Cross-Section: Rectangle

Cross-Section: Beam with a Slab

Cross-Section: IPE-80

First Order#

First-Order: Bending Moment

First-Order: Bar Deflection

First-Order: Bending Line

First-Order: Identifying a unstable system

First-Order: Divided bar

Second Order#

Second Order: Matrix Approach

Second Order: Nonlinear Factors in Bar Attributes

Second Order: Iterative Approach

Pole Plan#

Poleplan: Basics

Poleplan: Advanced

Stress#

Stress: Normal

Stress: Plotting Normal Stress

Stress: Shear Using Jourawski’s Formula

Stress: Plotting Shear Stress

Stress: Stress Distribution in a Bar

Stress: Stress in a T-Shaped Cross-Section

Influence Line#

Influence Line: Bar Deformation

Influence Line: Node Deformation

Influence Line: Internal Force

Influence Line: Support Reaktion

Influence Line: Internal Force (Mechanism)

Influence Line: Support Reaktion (Mechanism)

Principle of Virtual Forces#

This section introduces the Principle of Virtual Forces (PVF) as a general method for computing structural deformations.

The first diagram shows how the different static calculation methods are related. The second diagram focuses specifically on the class structure of the PVF-based methods.

_images/structural_diagramm_static_methods.svg

The PVF class serves as the base class for all subsequent methods. The Reduction Theorem inherits from PVF, the Force Method inherits from Reduction Theorem, and DMG extends the Force Method. This inheritance structure allows shared functionality while progressively adding method-specific behavior.