Strength of Materials - online course

Below you will find materials divided into theoretical introduction, sample exercises, and video recordings that will help you go through your Strength of Materials course during your studies with as little pain as possible.

Total Duration   ( Free)
Chapters rozdziałów
Solved Tasks zadań  ( Free)
Ilustracja wytrzymałość materiałów

Strength of Materials - A Brief Introduction

Strength of Materials, also known as mechanics of materials, is an engineering discipline focusing on the analysis of stresses and strains in materials under the influence of external forces. This field of study is key to understanding and predicting the behavior of materials under various load conditions, which is crucial in engineering design and construction.

The foundation of material strength is the theory of elasticity and plasticity, which describes how materials deform (stretch, compress, twist, bend) under the action of forces and how they react to different types of loads, such as pressure, tension, shear, and torsion. By understanding these reactions, engineers can design structures and components that are safe, efficient, and economical.

Material strength combines knowledge from technical mechanics and materials science to provide practical tools for calculating stresses, strains, and safe loads for various materials and element geometries. It also includes the study of phenomena such as material fatigue, cracking, or long-term load-related phenomena like creep.

In engineering education, material strength is often taught as a supplementary subject to structural mechanics, providing students with the necessary tools for analysis and design of structures. Nowadays, with the development of technology and numerical methods, such learning is increasingly supported by computer simulation software, such as the finite element method, allowing for more complex analyses and designs.

Internal Forces - Beams

Types of Supports in Plane and Space

Teoria

Calculating Reactions in Simple and Hinged Beams

Teoria

Diagrams in Simple Beams

Teoria

Simple Beams I

Zadania

Simple Beams II

Zadania

Inclined Beams

Zadania

Hinged Beams

Zadania

Internal Forces - Frames

Simple Frames

Zadania

Frames with Inclined Members

Zadania

Internal Forces - Trusses

Zero Member Theorems

Teoria

Joint Equilibrium Method

Teoria

Joint Equilibrium Method

Zadania

Ritter's Method

Teoria

Ritter's Method

Zadania

Cremona Method

Zadania

Cremona Method

Teoria

Internal Forces - Arches

Circular Arches

Zadania

Internal Forces - Complex Systems

Frame-Arches

Zadania

Geometric Properties

Shapes with Two Axes of Symmetry

Zadania

Shapes with One Axis of Symmetry

Zadania

Shapes without Axes of Symmetry

Zadania

Axial Tension and Compression

Axial Tension and Compression

Teoria

Statically Determinate - Basic Definitions

Zadania

Statically Determinate - Single Bars

Zadania

Statically Determinate - Bar Systems

Zadania

Statically Indeterminate

Zadania

Torsion

Torsion of Circular Shafts

Teoria

Statically Determinate

Zadania

Statically Indeterminate

Zadania

Torsion of Non-Circular Shafts

Zadania

Shear Stress

Shear Stress

Zadania

Bending

Simple Bending

Zadania

Transverse Bending

Zadania

Oblique Bending

Zadania

Eccentric Axial Load

Core of the Section

Zadania

Complex Problems

Zadania

Deflections

Clebsch Method

Teoria

Clebsch Method

Zadania

Mohr's Method (Graphical-Analytical)

Teoria

Mohr's Method (Graphical-Analytical)

Zadania

Design for Deflection

Zadania

Statically Indeterminate Systems

Zadania

Energy Methods - Displacements in Statically Determinate Systems

Castigliano's Theorem

Teoria

Castigliano's Theorem

Zadania

Maxwell-Mohr Method

Teoria

Maxwell-Mohr Method

Zadania

Vereschagin's Method

Teoria

Vereschagin's Method

Zadania

Energy Methods - Statically Indeterminate Systems

Menabrea-Castigliano Theorem

Teoria

Menabrea-Castigliano Theorem

Zadania

Maxwell-Mohr Method (Force Method)

Zadania

Vereschagin's Method

Zadania

Three-Moment Method

Teoria

Stress Hypotheses

Bending with Axial Tension/Compression

Zadania

Bending with Torsion

Zadania

Complex Problems

Zadania

Stability and Buckling

Critical Load

Zadania

Critical Load - Bar Systems

Zadania

Limit Load Capacity

Bending

Zadania

Rotating Disks

Rotating Disks

Zadania