Statics & Equilibrium

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Fundamental methods of analysis for statically determinate structures based on the equations of equilibrium

Bending & Shear
Virtual Work
Finite Element Analysis
Dynamics
Stress Analysis
Non-Linear Analysis
Stability
Design

Statics & Equilibrium Courses

Courses that take you on a deep dive into the topic

Fundamentals of Structural Analysis

Fundamentals of Structural Analysis

⏰ 3 h 3 min | 30 lessons

Get to grips with civil engineering structural analysis once and for all.

Statics & Equilibrium Tutorials

Tutorials to guide you through the topic at a high level while providing you with the tools to dive deeper

Influence Lines - A Complete Introduction for Civil and Structural Engineers

Influence Lines - A Complete Introduction for Civil and Structural Engineers

In this tutorial on influence lines, we will explore influence lines and the techniques that can be used to construct influence line diagrams for determinate and indeterminate beam structures. By the end of this tutorial, you will be confident in drawing and formulating influence lines for determinate structures. You will also develop an appreciation of how we can implement more advanced structura...more

Callum WilsonCallum Wilson

Callum Wilson

26 min read
An Introduction to Uniform Torsion in Cylindrical Shafts

An Introduction to Uniform Torsion in Cylindrical Shafts

In this tutorial, we introduce torsion. This is simply a bending moment applied about the longitudinal axis. Torsion will cause twisting about the longitudinal axis and is a very common form of loading. Our starting point will be to explore the concept of strain as it applies to circular bars and to derive an equation that relates the strain to the angle of twist in the bar. Next, we’ll tie shear ...more

Dr Seán CarrollDr Seán Carroll

Dr Seán Carroll

21 min read
How to Calculate Reactions using Free Body Diagrams

How to Calculate Reactions using Free Body Diagrams

In this tutorial, we'll cover free body diagrams and how to use them to evaluate the forces acting on a structure in equilibrium. A free body diagram is a diagram in which only the forces imposed on an object are shown. Free body diagrams are a simple tool to help us identify all of the forces that influence an object or structure. Typically, one of the first steps in analysing a structure is to s...more

Dr Seán CarrollDr Seán Carroll

Dr Seán Carroll

23 min read
Forces, Moment of a Force and Force Systems

Forces, Moment of a Force and Force Systems

Welcome to the Fundamental Engineering Mechanics tutorial series. This is part one in a multi-part series aimed at anyone just starting out in the study of engineering. In this tutorial, we’ll start from the very beginning and discuss forces, moments or torques generated by forces and how to evaluate systems of forces and moments. Once you complete this tutorial and all of the worked examples, you...more

Dr Seán CarrollDr Seán Carroll

Dr Seán Carroll

17 min read
Truss Analysis using the Method of Joints and Method of Sections

Truss Analysis using the Method of Joints and Method of Sections

In this tutorial we're going to focus on trusses, also known as pin-jointed structures. We'll briefly discuss their key features and methods of analysis. We're going to start at the very beginning by briefly considering what exactly a truss is - but we'll very quickly move on to truss analysis and demonstrate the joint resolution method and method of sections with some worked examples.

Dr Seán CarrollDr Seán Carroll

Dr Seán Carroll

17 min read
Structural Analysis Case Study

Structural Analysis Case Study

Structural analysis is the process of using mathematical and mechanical principles to determine the magnitude of internal forces in a structure. One of the main roles of a civil or structural engineer is carrying out structural analysis as the first step to designing a safe structure. In this tutorial we’ll demonstrate exactly how this process works for a real world structure.

Dr Seán CarrollDr Seán Carroll

Dr Seán Carroll

25 min read
What is a Truss?

What is a Truss?

A truss is a structure that consists of a collection of elements connected at pin joints or nodes. In theory, the pin joints provide no rotational resistance and behave as hinges. In practice this is not always the case. In this tutorial, we’ll discuss common forms of truss, their features, approximate methods of analysis and the key assumptions that relate to our analysis.

Dr Seán CarrollDr Seán Carroll

Dr Seán Carroll

10 min read