MechMat: Static Equilibrium

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MechMat 2: Static Equilibrium (Review) – YouTube playlist

Mechanics of Materials – Session 2: Static Equilibrium (Review)
We discuss the static form of Newton’s second law of motion (static equilibrium), free body diagrams, trusses, and beams.

MechMat Session 2: Static Equilibrium (Review)
Date: September 6, 2024

Notes

Fa2024 Session 2: MechMat – Static Equilibrium (Review)
Su2024 Session 2: MechMat – Static Equilibrium (Review)
Su2024 In-class and Office Hour Notes
Fa2023 Session 2: MechMat – Static Equilibirum (Review)
Fa 2023 In-class and Office Hours Notes
Su2023 Session 2: MechMat – Static Equilibrium (Review)
Su2023 In-class and Office Hours Notes
Sp2023 Session 2: MechMat – Static Equilibrium (Review)

Colab

Session 2: MechMat – Static Equilibrium (Review) – Colab IPython Jupyter Notebook

Select Assignment Questions

Session 2 – Question 2: Static Equilibrium – Internal Axial Force within an Externally Loaded Bar

Session 2 – Question 3: Static Equilibrium – Internal Axial Force Near End in an Externally Loaded Bar

Session 2 – Question 6: Static Equilibrium – Internal Torque within a Shaft with External Torsional Loading

Session 2 – Question 2: Static Equilibrium – Reaction Moment at Wall in Cantilevered Beam with Applied Force at End

Session 2 – Question 5: Static Equilibrium – Internal Bending Moment within a Cantilevered Beam with Applied Force at End

Additional Videos

MechMat Session 2: Static Equilibrium (Review)
Date: May 28, 2024

MechMat Problem-Solving Sessions: Static Equilibrium (Review)
Date: January 20, 2023

Live In-class Session 2: Static Equilibrium of Bars, Shafts, Beams, and Trusses
Date: September 7, 2023

Live In-class Session2: Static Equilibrium
Date: May 31, 2023

Static Equilibrium – Tension, Torque, Lever, Beam, and Ladder Problem
The first 40 seconds sum up – pun intended – static equilibrium in 2 1/2 dimensions.

Equilibrium of Rigid Bodies (2D – Coplanar Forces) | Mechanics Statics
We deal with support reactions from pins, rollers, and clamped ends.

Equilibrium of Rigid Bodies (2D – Coplanar Forces) | Mechanics Statics 1 (Question Solutions)
Watch from 0:19 to 3:07.

Sum of MOMENTS and Rigid Body Equilibrium in 13 Minutes! (Statics)
This video describes positive and negative moments and forces.

Sum of MOMENTS and Rigid Body Equilibrium in 13 Minutes! (Statics) (Less Boring Lectures)
Watch from 1:45 to 5:06.

Understanding and Analysing Trusses
This video describes static equilibrium and method of joints.

Understanding and Analysing Trusses (The Efficient Engineer)
Watch up to 5:45.

Understanding and Analysing Trusses
This portion of the video describes method of sections.

Understanding and Analysing Trusses (The Efficient Engineer)
Watch from 11:06 to 12:10.

Online Text

Statics – Wikipedia
lec3.pdf | Mechanics & Materials I | Mechanical Engineering | MIT OpenCourseWare
3.1: Moment of a Force about a Point (Scalar Calculation) – Engineering LibreTexts
6.1: Structures – Engineering LibreTexts
2.1: Trusses – Engineering LibreTexts (Read up to “Deflections.”)
Structural Mechanics (Wierzbicki) – Engineering LibreTexts

Printed Text

Hibbeler, Section 1.2 Equilibrium of a Deformable Body, Mechanics of Materials, 11th Edition, 2022.
Hibbeler, Section 1.2 Equilibrium of a Deformable Body, Mechanics of Materials, 9th Edition, 2013.
Hibbeler, Section 1.2 Equilibrium of a Deformable Body, Mechanics of Materials, 8th Edition, 2010.
Crandall, Dahl, and Lardner, Section 1.6 Conditions for Equilibrium, An Introduction to the Mechanics of Solids, 1999.

The following sections from Hibbeler, Statics, 14th Edition, 2016 might be useful as a review of relevant topics from a prerequisite course in statics:
3.3 Coplanar Force Systems
4.1 Moment of a Force – Scalar Formulation
4.9 Reduction of a Simple Distributed Loading
5.1 Conditions for Rigid-body Equilibrium
5.2 Free-body Diagrams (2D)
5.3 Equations of Equilibrium (2D)
5.5 Free-body Diagrams (3D)
5.6 Equations of Equilibrium (3D)
5.7 Constraints and Statical Determinacy
6.2 The Method of Joints (Trusses)
6.3 The Method of Sections (Trusses)
7.1 Internal Loadings Developed in Structural Members

For online complementary information, see our YouTube Channel and the Wikibook.